sagsim recycle

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Moly-Cop Tools / document.xls Page 1 06/10/2022 / 04:47:07 Moly-Cop Tools, Version 2.0 About the SAGSim_Recycle Spreadsheet ... Scope : The SAGSim_Recycle spreadsheet was designed to simulate the Size-by-Size Mass Balance arou given singlestage Semiautogenous Grinding (SAG) Mill (see Flowsheet), on the basis of a mathematical model obtained as an extension of the linear grinding model previously derive conventional ball mills (see files BallSim_Direct or BallSim_Reverse). Theoretical Framework : - The Linear Grinding Model for Conventional Ball Mills : The simulation of a conventional ball mill response is based on the so called Modern Theor Comminution. This theory introduced two new sets of parameters : the Selection Function S Breakage Function B. The first set – also referred to as Grindability – relates to the gri kinetics of each independent particle and the second set – also referred to as Distributio Primary Fragments – characterizes the size distribution of the fragments produced as a res breakage events. The Figure below helps define both concepts with greater clarity. Consider that at any giv instant t, the size distribution of the mineral charge in a hypothetical batch mill is quantified by the fractions fi (i = 1, n) retained on the n different screens represented left of such Figure. After a time interval Dt, the resulting size distribution is represen the right of the same Figure. During this time interval, some particles will be fractured their fragments redistributed to the lower screens. For the particles retained on mesh ‘i+ ‘i’ fraction), the Selection Function Si (min -1 ) denotes the fractional breakage velocity; is, the fraction of the particles in the size range [di+1 , di] which are fractured, per un time. Therefore, the product (SiDt) represents the fraction of the material retained on me ‘i+1’, at time t, that will be fractured by the action of the grinding media, during the following time period Dt. Complementarily, the Breakage Function bij denotes the fraction, weight, of the fragments arising from the breakage of the particles retained on mesh ‘j+1’ retained on the lower ‘i+1’ mesh. (1-S 1 Dt)f 1 S 1 Dtf 1 b 21 S 1 Dtf 1 b i1 S 1 Dtf 1 b n1 S 1 Dtf 1 (1-S 2 Dt)f 2 S 2 Dtf 2 b i2 S 2 Dtf 2 b n2 S 2 Dtf 2 f 1 f 2 f i f n 2 3 i + 1 n + 1 2 3 i + 1 n + 1 (1-S 1 Dt)f 1 S 1 Dtf 1 b 21 S 1 Dtf 1 b i1 S 1 Dtf 1 b n1 S 1 Dtf 1 (1-S 2 Dt)f 2 S 2 Dtf 2 b i2 S 2 Dtf 2 b n2 S 2 Dtf 2 t= t f 1 f 2 f i f n 2 3 i + 1 n + 1 t= t+ Dt 2 3 i + 1 n + 1

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Page 1: SAGSim Recycle

Moly-Cop Tools / document.xls Page 1 04/22/2023 / 05:17:03

Moly-Cop Tools, Version 2.0About the SAGSim_Recycle Spreadsheet ...

Scope :

The SAGSim_Recycle spreadsheet was designed to simulate the Size-by-Size Mass Balance around any given singlestage Semiautogenous Grinding (SAG) Mill (see Flowsheet), on the basis of a mathematical model obtained as an extension of the linear grinding model previously derived for conventional ball mills (see files BallSim_Direct or BallSim_Reverse).

Theoretical Framework :

- The Linear Grinding Model for Conventional Ball Mills :

The simulation of a conventional ball mill response is based on the so called Modern Theory of Comminution. This theory introduced two new sets of parameters : the Selection Function S and the Breakage Function B. The first set – also referred to as Grindability – relates to the grinding kinetics of each independent particle and the second set – also referred to as Distribution of Primary Fragments – characterizes the size distribution of the fragments produced as a result of breakage events.

The Figure below helps define both concepts with greater clarity. Consider that at any given instant t, the size distribution of the mineral charge in a hypothetical batch mill is quantified by the fractions fi (i = 1, n) retained on the n different screens represented on the left of such Figure. After a time interval Dt, the resulting size distribution is represented on the right of the same Figure. During this time interval, some particles will be fractured and their fragments redistributed to the lower screens. For the particles retained on mesh ‘i+1’ (the ‘i’ fraction), the Selection Function Si (min-1) denotes the fractional breakage velocity; that is, the fraction of the particles in the size range [di+1 , di] which are fractured, per unit of time. Therefore, the product (SiDt) represents the fraction of the material retained on mesh ‘i+1’, at time t, that will be fractured by the action of the grinding media, during the following time period Dt. Complementarily, the Breakage Function bij denotes the fraction, by weight, of the fragments arising from the breakage of the particles retained on mesh ‘j+1’ to be retained on the lower ‘i+1’ mesh.

(1-S1Dt) f1

S1Dt f1b21S1Dt f1

bi1S1Dt f1

bn1S1Dt f1

(1-S2Dt) f2S2Dt f2

bi2S2Dt f2

bn2S2Dt f2

t = t

f1

f2

fi

fn

2

3

i + 1

n + 1

t = t + Dt

2

3

i + 1

n + 1

••

•••

•••

•••

(1-S1Dt) f1

S1Dt f1b21S1Dt f1

bi1S1Dt f1

bn1S1Dt f1

(1-S2Dt) f2S2Dt f2

bi2S2Dt f2

bn2S2Dt f2

t = t

f1

f2

fi

fn

2

3

i + 1

n + 1

t = t + Dt

2

3

i + 1

n + 1

••

••••••

•••

•••

Page 2: SAGSim Recycle

Moly-Cop Tools / document.xls Page 2 04/22/2023 / 05:17:03

Scope :

The SAGSim_Recycle spreadsheet was designed to simulate the Size-by-Size Mass Balance around any given singlestage Semiautogenous Grinding (SAG) Mill (see Flowsheet), on the basis of a mathematical model obtained as an extension of the linear grinding model previously derived for conventional ball mills (see files BallSim_Direct or BallSim_Reverse).

Theoretical Framework :

- The Linear Grinding Model for Conventional Ball Mills :

The simulation of a conventional ball mill response is based on the so called Modern Theory of Comminution. This theory introduced two new sets of parameters : the Selection Function S and the Breakage Function B. The first set – also referred to as Grindability – relates to the grinding kinetics of each independent particle and the second set – also referred to as Distribution of Primary Fragments – characterizes the size distribution of the fragments produced as a result of breakage events.

The Figure below helps define both concepts with greater clarity. Consider that at any given instant t, the size distribution of the mineral charge in a hypothetical batch mill is quantified by the fractions fi (i = 1, n) retained on the n different screens represented on the left of such Figure. After a time interval Dt, the resulting size distribution is represented on the right of the same Figure. During this time interval, some particles will be fractured and their fragments redistributed to the lower screens. For the particles retained on mesh ‘i+1’ (the ‘i’ fraction), the Selection Function Si (min-1) denotes the fractional breakage velocity; that is, the fraction of the particles in the size range [di+1 , di] which are fractured, per unit of time. Therefore, the product (SiDt) represents the fraction of the material retained on mesh ‘i+1’, at time t, that will be fractured by the action of the grinding media, during the following time period Dt. Complementarily, the Breakage Function bij denotes the fraction, by weight, of the fragments arising from the breakage of the particles retained on mesh ‘j+1’ to be retained on the lower ‘i+1’ mesh.

Page 3: SAGSim Recycle

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Moly-Cop Tools, Version 2.0About the SAGSim_Recycle Spreadsheet ...

It is customary to define mesh ‘1’ as the coarsest opening and ‘n’ as the finest opening. Then, by definition :

i+1

Bij = S bkj (1) k=n

represents the cummulative fraction of fragments from the breakage of particles retained on mesh ‘j’ that will become finer than mesh ‘i’.

With reference to the Figure above, it is then possible to establish, for each size fraction ‘i’, the following population balance of particles :

[Particles in fraction ‘i’ at time (t+Dt)] = [Particles in fraction ‘i’ at time t] - [Particles in fraction ‘i’ broken during the time interval Dt] + [New particles added to fraction ‘i’ as a result of the breakage of particles originally retained in the coarser fractions (j = 1, i-1)]

then, if H represents the total weight of ore in the mill : fi(t+Dt) H = fi(t) H - SiDtfi(t) H + bi1S1Dtf1(t) H + bi2S2Dtf2(t) H + … + bi,i-1Si-1Dtfi-1(t) H ; for i = 1, 2, …, n (2)

Considering the limiting condition when Dt approaches zero, the expression above reduces to the system of first order differential equations : 1

d(fi)/dt = -Si fi + S bij Sj fj ; for i = 1, 2, …, n (3) j = i-1

which constitutes the General Grinding Model, in its differential form.

The analytical solution of this complex system of differential equations is fortunately known, under the restrictive assumption that the parameters S and B are invariant with time; so giving rise to particular solution of the general system denoted ‘Linear Model’, which in its matrix form is expressed as :

f = ( T J T-1 ) f° (4)where :

f = {fi | i = 1, 2, …, n} = vector containing the size distribution of the mill discharge (ground product), f° = {fi° | i = 1, 2, …, n} = vector containing the size distribution of the mill feed, T = {Tij | i,j = 1, 2, …, n} = lower triangular matrix of values Tij recursively defined as : Tij = 0 ; when i < j Tij = 1 ; when i = j i - 1

Tij = S ( bik Sk Tkj )/( Si – Sj ) ; when i > j k = j

Page 4: SAGSim Recycle

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It is customary to define mesh ‘1’ as the coarsest opening and ‘n’ as the finest opening. Then, by definition :

i+1

Bij = S bkj (1) k=n

represents the cummulative fraction of fragments from the breakage of particles retained on mesh ‘j’ that will become finer than mesh ‘i’.

With reference to the Figure above, it is then possible to establish, for each size fraction ‘i’, the following population balance of particles :

[Particles in fraction ‘i’ at time (t+Dt)] = [Particles in fraction ‘i’ at time t] - [Particles in fraction ‘i’ broken during the time interval Dt] + [New particles added to fraction ‘i’ as a result of the breakage of particles originally retained in the coarser fractions (j = 1, i-1)]

then, if H represents the total weight of ore in the mill : fi(t+Dt) H = fi(t) H - SiDtfi(t) H + bi1S1Dtf1(t) H + bi2S2Dtf2(t) H + … + bi,i-1Si-1Dtfi-1(t) H ; for i = 1, 2, …, n (2)

Considering the limiting condition when Dt approaches zero, the expression above reduces to the system of first order differential equations : 1

d(fi)/dt = -Si fi + S bij Sj fj ; for i = 1, 2, …, n (3) j = i-1

which constitutes the General Grinding Model, in its differential form.

The analytical solution of this complex system of differential equations is fortunately known, under the restrictive assumption that the parameters S and B are invariant with time; so giving rise to particular solution of the general system denoted ‘Linear Model’, which in its matrix form is expressed as :

f = ( T J T-1 ) f° (4)where :

f = {fi | i = 1, 2, …, n} = vector containing the size distribution of the mill discharge (ground product), f° = {fi° | i = 1, 2, …, n} = vector containing the size distribution of the mill feed, T = {Tij | i,j = 1, 2, …, n} = lower triangular matrix of values Tij recursively defined as : Tij = 0 ; when i < j Tij = 1 ; when i = j i - 1

Tij = S ( bik Sk Tkj )/( Si – Sj ) ; when i > j k = j

Page 5: SAGSim Recycle

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Moly-Cop Tools, Version 2.0About the SAGSim_Recycle Spreadsheet ...

J = {Jij | i,j = 1, 2, …, n} = diagonal matrix of values Jij defined as : Jij = exp (-Sit) ; when i = j ( batch grinding) Jij = (1 + Sit/N)-N ; when i = j (continuous grinding) Jij = 0 ; in all other cases

and where t - the average mean residence time - and N are parameters characteristic of the Residence Time Distribution (RTD) of the mineral slurry in the mill, here represented by :

E(t) = [ NN (t/t)N-1 / t G(N) ] exp (-Nt/t) (5)

referred to as the ‘N-Mixers in Series Model’ and where the parameter N may be approximated by the effective (Lenght/Diameter) ratio of the mill.

The grinding model parameters (the Selection and Breakage parameters) are different for different particle sizes. Such dependence is here represented by the following relationships :

- For the Selection Function :

Si = a0 (di*)a1 / [ 1 + (di* / dcrit)a2 ] (6) with : di* = (di · di+1)0.5 = average particle size of the ‘i-th’ fraction.

- For the Breakage Function :

Bij = b0 (di/dj+1)b1 + (1- b0) (di/dj+1)b2 (7)

expressions that considerably reduce the number of ore characteristic parameters to a maximum of seven (a0, a1, a2, dcrit, b0, b1 and b2) and simplify the computation of the (n-1) Si‘s values and the n(n-1)/2 Bij’s values required for the evaluation of the model.

The critical role of the Specific Energy Consumption E (kWh/ton) becomes explicit in the above formulations through a simple change of variables, when introducing the Specific Selection Function parameter as : Si

Eballs = Si (H/Pballs) ; i = 1, 2, ..., n (8)

and recognizing that (see Equations 2 and 5) :

Eballs = t (Pballs/H) (batch grinding) Eballs = t (Pballs/H) (continuous grinding) (9)

where Pballs represents the contribution of the balls to the Net Mill Power Draw (kW) (see Mill Power_Ball Mills), it may be concluded that : SiEballs Eballs = Si t (batch grinding)or : S iEballs Eballs = Si t (continuous grinding) (10)

Page 6: SAGSim Recycle

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J = {Jij | i,j = 1, 2, …, n} = diagonal matrix of values Jij defined as : Jij = exp (-Sit) ; when i = j ( batch grinding) Jij = (1 + Sit/N)-N ; when i = j (continuous grinding) Jij = 0 ; in all other cases

and where t - the average mean residence time - and N are parameters characteristic of the Residence Time Distribution (RTD) of the mineral slurry in the mill, here represented by :

E(t) = [ NN (t/t)N-1 / t G(N) ] exp (-Nt/t) (5)

referred to as the ‘N-Mixers in Series Model’ and where the parameter N may be approximated by the effective (Lenght/Diameter) ratio of the mill.

The grinding model parameters (the Selection and Breakage parameters) are different for different particle sizes. Such dependence is here represented by the following relationships :

- For the Selection Function :

Si = a0 (di*)a1 / [ 1 + (di* / dcrit)a2 ] (6) with : di* = (di · di+1)0.5 = average particle size of the ‘i-th’ fraction.

- For the Breakage Function :

Bij = b0 (di/dj+1)b1 + (1- b0) (di/dj+1)b2 (7)

expressions that considerably reduce the number of ore characteristic parameters to a maximum of seven (a0, a1, a2, dcrit, b0, b1 and b2) and simplify the computation of the (n-1) Si‘s values and the n(n-1)/2 Bij’s values required for the evaluation of the model.

The critical role of the Specific Energy Consumption E (kWh/ton) becomes explicit in the above formulations through a simple change of variables, when introducing the Specific Selection Function parameter as : Si

Eballs = Si (H/Pballs) ; i = 1, 2, ..., n (8)

and recognizing that (see Equations 2 and 5) :

Eballs = t (Pballs/H) (batch grinding) Eballs = t (Pballs/H) (continuous grinding) (9)

where Pballs represents the contribution of the balls to the Net Mill Power Draw (kW) (see Mill Power_Ball Mills), it may be concluded that : SiEballs Eballs = Si t (batch grinding)or : S iEballs Eballs = Si t (continuous grinding) (10)

Page 7: SAGSim Recycle

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Moly-Cop Tools, Version 2.0About the SAGSim_Recycle Spreadsheet ...

Therefore, it is enough to replace in Equations 4 above the products (Sit) or (Sit) by the product (SiE

ballsEballs) to obtain the equations of the Linear Grinding Model in terms of the Specific Selection Function, S i

Eballs.

- A Generalized Model for SAG Mill Power Draw : (see About ... in file Mill Power_SAG Mills)

The Net Power Demand of a SAG mill may be well estimated by the simple Hogg and Fuerstenau Model (“Power Relations for Tumbling Mills”, Trans. SME-AIME, Vol. 252, pp. 418-432, 1972), here expanded from its original formulation to represent the independent contribution of each component of the mill charge (balls, rocks and slurry) to the total net power draw of the mill :

Pnet = h Pgross = 0.238 D3.5 (L/D) Nc rap (J - 1.065 J2) sina (11)

where :

Pgross = gross power draw of the mill (kW) = Pnet / h. h = electrical and power transmission efficiency, °/1. D = effective mill diameter, ft. L = effective mill length, ft. Nc = tumbling speed; expressed as a fraction (°/1) of the critical centrifugation speed : Ncrit = 76.6/D0.5. J = apparent volumetric fractional mill filling, °/1 (including the balls, the rocks and the interstitial voids in between such balls and rocks). a = charge lifting angle (defines the dynamic positioning of the center of gravity of the mill load (the ‘kidney’) with respect to the vertical direction. Typically in the range of 40° to 45°.

and where rap denotes the apparent density of the charge (ton/m3), which may be evaluated on the basis of the indicated charge components (balls, rocks and interstitial slurry) :

rap = { (1-fv) rb Jb + (1-fv) rm (J – Jb) + rp Jp fv J } / J (12) with :

fv = volume fraction (°/1) of interstitial voids in between the balls (typically assumed to be 40% of the volume apparently occupied by the balls). Jb = apparent balls filling (°/1) (including balls and the interstitial voids in between such balls). Jp = interstitial slurry filling (°/1), corresponding to the fraction of the available interstitial voids (in between the balls and rocks charge) actually occupied by the slurry of finer particles. rm = mineral particle density, ton/m3. rp = slurry density (ton/m3) directly related to the weight % solids of the slurry (fs) by : 1/[(fs/rm) + (1 - fs)].

In this formulation, the contribution to the net mill power by the balls in the charge becomes :

Pballs = [(1-fv) rb Jb / rap J] · (h Pgross) (13)

Page 8: SAGSim Recycle

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Therefore, it is enough to replace in Equations 4 above the products (Sit) or (Sit) by the product (SiE

ballsEballs) to obtain the equations of the Linear Grinding Model in terms of the Specific Selection Function, S i

Eballs.

- A Generalized Model for SAG Mill Power Draw : (see About ... in file Mill Power_SAG Mills)

The Net Power Demand of a SAG mill may be well estimated by the simple Hogg and Fuerstenau Model (“Power Relations for Tumbling Mills”, Trans. SME-AIME, Vol. 252, pp. 418-432, 1972), here expanded from its original formulation to represent the independent contribution of each component of the mill charge (balls, rocks and slurry) to the total net power draw of the mill :

Pnet = h Pgross = 0.238 D3.5 (L/D) Nc rap (J - 1.065 J2) sina (11)

where :

Pgross = gross power draw of the mill (kW) = Pnet / h. h = electrical and power transmission efficiency, °/1. D = effective mill diameter, ft. L = effective mill length, ft. Nc = tumbling speed; expressed as a fraction (°/1) of the critical centrifugation speed : Ncrit = 76.6/D0.5. J = apparent volumetric fractional mill filling, °/1 (including the balls, the rocks and the interstitial voids in between such balls and rocks). a = charge lifting angle (defines the dynamic positioning of the center of gravity of the mill load (the ‘kidney’) with respect to the vertical direction. Typically in the range of 40° to 45°.

and where rap denotes the apparent density of the charge (ton/m3), which may be evaluated on the basis of the indicated charge components (balls, rocks and interstitial slurry) :

rap = { (1-fv) rb Jb + (1-fv) rm (J – Jb) + rp Jp fv J } / J (12) with :

fv = volume fraction (°/1) of interstitial voids in between the balls (typically assumed to be 40% of the volume apparently occupied by the balls). Jb = apparent balls filling (°/1) (including balls and the interstitial voids in between such balls). Jp = interstitial slurry filling (°/1), corresponding to the fraction of the available interstitial voids (in between the balls and rocks charge) actually occupied by the slurry of finer particles. rm = mineral particle density, ton/m3. rp = slurry density (ton/m3) directly related to the weight % solids of the slurry (fs) by : 1/[(fs/rm) + (1 - fs)].

In this formulation, the contribution to the net mill power by the balls in the charge becomes :

Pballs = [(1-fv) rb Jb / rap J] · (h Pgross) (13)

Page 9: SAGSim Recycle

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Moly-Cop Tools, Version 2.0About the SAGSim_Recycle Spreadsheet ...

Similarly, the contribution to the net mill power by the rocks in the charge becomes :

Procks = [ (1-fv) rm (J - Jb) / rap J] · (h Pgross) (14)

and finally, the contribution of the slurry in the charge becomes :

Ppulp = [rp Jp fv J / rap J] · (h Pgross) (15)

- Extension of the Conventional Grinding Model to SAG Systems :

The basic mechanisms by which finer particles are generated in SAG mills are essentially the same multiple mechanisms of compression, abrasion and impact operative in conventional ball mills. Amongst them, at least the following three appear to be predominant :

- Action of Balls on Particles, similar to conventional mills, - Action of Rocks on Particles, with rocks acting as grinding media, - Self-breakage of the Rocks, as a result of their own tumbling action.

For each mechanism, independently, it is possible to provide a mathematical characterization of the process kinetics in terms of Si

E and Bij parameters, as described in the following paragraphs.

In due recognition of the controlling role of the Specific Energy (kWh/ton) in the grinding kinetics, the current development postulates that the effectiveness of the balls is consequently proportional to the power absorbed by them (Equation 13), the effectiveness of the rocks as grinding media is similarly proportional to the power they absorb (Equation 14) and finally, these same rocks self-break also as a function of the power they absorb (Equation 14). Therefore, the Overall Specific Selection Function may be obtained from :

SiE

overall E = SiE

balls Eballs + SiE

rocks Erocks + SiE

self Erocks (16)

where, by direct analogy to the conventional model reviewed earlier, expressions similar to Equation 6 above are here proposed, for each independent mechanism :

SiE = a0 (di*)a1 / [ 1 + (di* / dcrit)a2 ] (17)

where the values of a0, a1, a2 and dcrit may be different in each case.

With regard to the Breakage Function, it is possible to achieve greater descriptive flexibility by expanding the functional relationships presented in Equation 7 above, as follows :

Bij = b0j (di/dchips,j)b1 + (1- b0j) (di/dj+1)b2 , if di < dchips,j (18)

Bij = b0j + (1- b0j) (di/dj+1)b2 , if di > dchips,j

Page 10: SAGSim Recycle

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Similarly, the contribution to the net mill power by the rocks in the charge becomes :

Procks = [ (1-fv) rm (J - Jb) / rap J] · (h Pgross) (14)

and finally, the contribution of the slurry in the charge becomes :

Ppulp = [rp Jp fv J / rap J] · (h Pgross) (15)

- Extension of the Conventional Grinding Model to SAG Systems :

The basic mechanisms by which finer particles are generated in SAG mills are essentially the same multiple mechanisms of compression, abrasion and impact operative in conventional ball mills. Amongst them, at least the following three appear to be predominant :

- Action of Balls on Particles, similar to conventional mills, - Action of Rocks on Particles, with rocks acting as grinding media, - Self-breakage of the Rocks, as a result of their own tumbling action.

For each mechanism, independently, it is possible to provide a mathematical characterization of the process kinetics in terms of Si

E and Bij parameters, as described in the following paragraphs.

In due recognition of the controlling role of the Specific Energy (kWh/ton) in the grinding kinetics, the current development postulates that the effectiveness of the balls is consequently proportional to the power absorbed by them (Equation 13), the effectiveness of the rocks as grinding media is similarly proportional to the power they absorb (Equation 14) and finally, these same rocks self-break also as a function of the power they absorb (Equation 14). Therefore, the Overall Specific Selection Function may be obtained from :

SiE

overall E = SiE

balls Eballs + SiE

rocks Erocks + SiE

self Erocks (16)

where, by direct analogy to the conventional model reviewed earlier, expressions similar to Equation 6 above are here proposed, for each independent mechanism :

SiE = a0 (di*)a1 / [ 1 + (di* / dcrit)a2 ] (17)

where the values of a0, a1, a2 and dcrit may be different in each case.

With regard to the Breakage Function, it is possible to achieve greater descriptive flexibility by expanding the functional relationships presented in Equation 7 above, as follows :

Bij = b0j (di/dchips,j)b1 + (1- b0j) (di/dj+1)b2 , if di < dchips,j (18)

Bij = b0j + (1- b0j) (di/dj+1)b2 , if di > dchips,j

Page 11: SAGSim Recycle

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Moly-Cop Tools, Version 2.0About the SAGSim_Recycle Spreadsheet ...

with :

b0j = b00(dj+1/100,000) -b01 , never > 1 b3j = b30 (dj+1 /100,000) -b31 , never > 1 dchips,j = b3j (dj+1)

For simplicity, it has been assumed that all particles are fragmented according to the same breakage pattern depending only on the ore properties, independent of the mechanism originating the fragments .

The practical motivation for this expanded, more complex form of the Breakage Function arises from the empirical observation that the bigger rocks break into just a few large pieces and a minor proportion of smaller fragments or ‘chips’, without generating much intermediate sizes.

The mathematical characterization of SAG circuits presents additional challenges for the process analyst because, unlike the case of conventional mills, the ground particles can leave the charge only after they have reached a size smaller than the discharge grate opening of the mill. A further complication, the power drawn by a SAG mill – which in turns, determines its processing capacity – depends on the apparent level and composition of the charge, both of which vary significantly as a function of the fresh ore feedrate. For such reason, the operator can not set at his own will the mill throughput rate. In mathematical terms, this implies difficulties to establish the boundary conditions required to integrate the proposed model equations.

In such context, the computation routine incorporated to SAGSim_Open resolves these difficulties by means of a numerical integration algorithm that mimics the execution of the typical pilot scale, open circuit SAG tests :

1. Define mill operating conditions in terms of apparent filling, ball filling, rotational speed, etc.

2. Begin simulation with the mill charged with fresh feed ore. As the complete, detailed feed size distribution is known, identify the proportion of ‘rocks’ and ‘slurry’ size particles in such feed. As a general rule, particles larger than ½” are considered ‘rocks’ that occupy apparent volume in the mill, while those particles smaller than ½” are considered ‘slurry’ that would only occupy the void interstitial spaces in between the balls and rocks.

3. Simulate the ‘batch’ grinding of the initial load in the mill, for a marginal increment of specific energy (< 0.5 kWh/ton), using Equations 4 above, properly documented with the values assigned to the Overall Specific Selection Function (Equation 16) and the Breakage Function (Equation 18).

4. Simulate the classification of the resulting ground product, taking into account the specified discharge grate opening (or the trommel opening or the screen opening, whichever opening sets the size of the particles out of the grinding stage). For such purpose, the following Classification Efficiency Curve is defined :

ci = Bpf + (1-Bpf) {1 – exp [-0.693 (di/dg)m]} (20)where :

ci = Weight fraction of the particles of size ‘i’ that are rejected together with the coarser particles presented to the grate. Bpf = Grate (or trommel or screen) by-pass factor; represents the fraction of the particles presented to the grate that are rejected to the coarse stream, without even submitting them to the classification process. dg = Nominal grate (or trommel or screen) opening. m = Grate (or trommel or screen) discrimination index, typically in the range of 1 to 3.

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with :

b0j = b00(dj+1/100,000) -b01 , never > 1 b3j = b30 (dj+1 /100,000) -b31 , never > 1 dchips,j = b3j (dj+1)

For simplicity, it has been assumed that all particles are fragmented according to the same breakage pattern depending only on the ore properties, independent of the mechanism originating the fragments .

The practical motivation for this expanded, more complex form of the Breakage Function arises from the empirical observation that the bigger rocks break into just a few large pieces and a minor proportion of smaller fragments or ‘chips’, without generating much intermediate sizes.

The mathematical characterization of SAG circuits presents additional challenges for the process analyst because, unlike the case of conventional mills, the ground particles can leave the charge only after they have reached a size smaller than the discharge grate opening of the mill. A further complication, the power drawn by a SAG mill – which in turns, determines its processing capacity – depends on the apparent level and composition of the charge, both of which vary significantly as a function of the fresh ore feedrate. For such reason, the operator can not set at his own will the mill throughput rate. In mathematical terms, this implies difficulties to establish the boundary conditions required to integrate the proposed model equations.

In such context, the computation routine incorporated to SAGSim_Open resolves these difficulties by means of a numerical integration algorithm that mimics the execution of the typical pilot scale, open circuit SAG tests :

1. Define mill operating conditions in terms of apparent filling, ball filling, rotational speed, etc.

2. Begin simulation with the mill charged with fresh feed ore. As the complete, detailed feed size distribution is known, identify the proportion of ‘rocks’ and ‘slurry’ size particles in such feed. As a general rule, particles larger than ½” are considered ‘rocks’ that occupy apparent volume in the mill, while those particles smaller than ½” are considered ‘slurry’ that would only occupy the void interstitial spaces in between the balls and rocks.

3. Simulate the ‘batch’ grinding of the initial load in the mill, for a marginal increment of specific energy (< 0.5 kWh/ton), using Equations 4 above, properly documented with the values assigned to the Overall Specific Selection Function (Equation 16) and the Breakage Function (Equation 18).

4. Simulate the classification of the resulting ground product, taking into account the specified discharge grate opening (or the trommel opening or the screen opening, whichever opening sets the size of the particles out of the grinding stage). For such purpose, the following Classification Efficiency Curve is defined :

ci = Bpf + (1-Bpf) {1 – exp [-0.693 (di/dg)m]} (20)where :

ci = Weight fraction of the particles of size ‘i’ that are rejected together with the coarser particles presented to the grate. Bpf = Grate (or trommel or screen) by-pass factor; represents the fraction of the particles presented to the grate that are rejected to the coarse stream, without even submitting them to the classification process. dg = Nominal grate (or trommel or screen) opening. m = Grate (or trommel or screen) discrimination index, typically in the range of 1 to 3.

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Moly-Cop Tools, Version 2.0About the SAGSim_Recycle Spreadsheet ...

5. The resulting fraction passing the grate (or trommel or screen) opening is discarded as mill ground product. In some cases, due to the restrictions to slurry flow imposed by the grate, mass transport out of the mill may be a rate limiting step. The mass transport capacity of the grate is here represented by the expression :

Qg = 60 kg A0 Vs (21)

where Qg represents the maximum m3/hr of slurry through the grate, kg is a kinetic rate constant for the grate in 1/in2/min, A0 is the grate's open area in in2 and Vs is the mill hold-up of finer-than-grate slurry in m3. The attached algorithm imposes the condition that the flowrate of slurry out of the mill should never exceed Qg.

6. The ‘rocks’ that were ground to product or ‘slurry’ sizes, during the brief marginal grinding period (< 0.5 kWh/ton), are replaced in the load by sufficient fresh feed ore containing an equivalent quantity of ‘rocks’, in order to maintain constant the apparent mill filling, as specified in Step 1 above.

7. Repeat the procedure from Step 3 above until a stationary condition is reached; that is, when the amount of fresh feed to be replaced after several consecutive iterations remains invariant.

Upon convergence, this simple numerical integration algorithm allows for the computation of the simulated mill throughput, the detailed product size distribution and also the size distribution of the mill load.

With the aid of the same simulator, it is then possible to structure a non-linear regression routine for the estimation of the most appropriate values of the various model parameters pertaining to any real system of interest, on the basis of available experimental data, previously collected at pilot and/or industrial scales (see file SAGParam_Open).

Data Input and Program Execution :

The data required by the simulator must be defined in each corresponding unprotected white background cell - inside the red double-lined border - of the here attached Data_File worksheet. Gray background cells contain the results of the corresponding formulas there defined and are protected to avoid any accidental editing.

The main simulator output - mill throughput - is directly obtained in Cell E29.

Detailed simulation results are presented in the Reports worksheet and graphically summarized in the Flowsheet and Charts worksheets.

New Moly-Cop Tools users are invited to explore the brief comments inserted in each relevant cell, rendering the whole utilization of the worksheets self-explanatory. Eventually, the user may wish to remove the view of the comments by selecting Tools / Options / View / Comments / None.

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5. The resulting fraction passing the grate (or trommel or screen) opening is discarded as mill ground product. In some cases, due to the restrictions to slurry flow imposed by the grate, mass transport out of the mill may be a rate limiting step. The mass transport capacity of the grate is here represented by the expression :

Qg = 60 kg A0 Vs (21)

where Qg represents the maximum m3/hr of slurry through the grate, kg is a kinetic rate constant for the grate in 1/in2/min, A0 is the grate's open area in in2 and Vs is the mill hold-up of finer-than-grate slurry in m3. The attached algorithm imposes the condition that the flowrate of slurry out of the mill should never exceed Qg.

6. The ‘rocks’ that were ground to product or ‘slurry’ sizes, during the brief marginal grinding period (< 0.5 kWh/ton), are replaced in the load by sufficient fresh feed ore containing an equivalent quantity of ‘rocks’, in order to maintain constant the apparent mill filling, as specified in Step 1 above.

7. Repeat the procedure from Step 3 above until a stationary condition is reached; that is, when the amount of fresh feed to be replaced after several consecutive iterations remains invariant.

Upon convergence, this simple numerical integration algorithm allows for the computation of the simulated mill throughput, the detailed product size distribution and also the size distribution of the mill load.

With the aid of the same simulator, it is then possible to structure a non-linear regression routine for the estimation of the most appropriate values of the various model parameters pertaining to any real system of interest, on the basis of available experimental data, previously collected at pilot and/or industrial scales (see file SAGParam_Open).

Data Input and Program Execution :

The data required by the simulator must be defined in each corresponding unprotected white background cell - inside the red double-lined border - of the here attached Data_File worksheet. Gray background cells contain the results of the corresponding formulas there defined and are protected to avoid any accidental editing.

The main simulator output - mill throughput - is directly obtained in Cell E29.

Detailed simulation results are presented in the Reports worksheet and graphically summarized in the Flowsheet and Charts worksheets.

New Moly-Cop Tools users are invited to explore the brief comments inserted in each relevant cell, rendering the whole utilization of the worksheets self-explanatory. Eventually, the user may wish to remove the view of the comments by selecting Tools / Options / View / Comments / None.

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Circuit Type Pebbles Crushing and Recycle Simulation N° 0

Remarks Base Case Example

Power, KWMill Dimensions and Operating Conditions 5142 BallsEff. Diameter Eff. Length Speed Charge Balls Interstitial Lift 3344 Rocks

ft ft % Critical Filling,% Filling,% Filling,% Angle, (°) 1491 Slurry35.0 17.0 76.0 28.0 10.0 60.0 45.0 9977 Net Total

rpm 9.84 3.00 % Losses10286 Gross Total

% Solids in Mill Slurry 78.0 Charge Charge Weight, tons App. Dens.Ore Density, ton/m3 2.80 Volume, m3 Balls Rocks Slurry ton/m3Slurry Density, ton/m3 2.006 129.94 215.79 140.33 62.55 3.222Balls Density, ton/m3 7.75Feed Moisture, % 5.0 Maximum Grate Transport Capacity

% Open Open # of Grate Area / Rate Const.Grate Opening, mm 50.80 Area Elements ElementScreen Opening, mm 12.70 15.00 20782 36 577.3 0.500Slurry Top Size, mm 12.70 'Grinding Kinetics Controlled'

Specific Grate Area DemandFresh Feedrate, ton/hr 2223.4 14.31 Min 27.50Sp. Energy, KWH/ton 4.63 10.16 Min 4.23

CrushedFeed Size Distribution Pebbles

i Mesh Opening Mid-Size ton/hr % Retained % Passing % Passing

1 16" 406400 100.00 100.002 8" 203200 287368 100.50 4.52 95.48 100.003 4" 101600 143684 134.37 6.04 89.44 100.004 3" 76100 87930 209.59 9.43 80.01 100.005 2" 50800 62176 406.69 18.29 61.72 100.006 1.05 25400 35921 519.49 23.36 38.35 100.007 0.742 19050 21997 121.30 5.46 32.90 100.008 0.525 12700 15554 115.75 5.21 27.69 60.519 0.371 9500 10984 59.50 2.68 25.02 44.24

10 3 6700 7978 57.28 2.58 22.44 33.0511 4 4750 5641 47.34 2.13 20.31 26.3412 6 3350 3989 42.32 1.90 18.41 21.6713 8 2360 2812 38.37 1.73 16.68 18.1614 10 1700 2003 32.98 1.48 15.20 15.5315 14 1180 1416 33.79 1.52 13.68 13.1116 20 850 1001 27.95 1.26 12.42 11.2817 28 600 714 27.32 1.23 11.19 9.6418 35 425 505 24.78 1.11 10.08 8.2519 48 300 357 22.86 1.03 9.05 7.0520 65 212 252 20.75 0.93 8.12 6.0321 100 150 178 18.77 0.84 7.27 5.1622 150 106 126 17.05 0.77 6.51 4.4123 200 75 89 15.35 0.69 5.82 3.7824 270 53 63 13.88 0.62 5.19 3.2325 400 38 45 11.99 0.54 4.65 2.7826 -400 0 0 103.45 4.65 0.00

% SolidsSelection Function Parameters : 98.00

Balls on Rocks on Self Grate Parameters :Particles Particles Breakage Default

alpha0 0.00358000 0.00228000 0.00018 Inefficiency 0.400 0.4alpha1 0.650 0.650 0.650 0.600 0.7alpha2 3.500 3.500 m 2.000 3.0dcrit 25400 9500

Breakage Function Parameters : Screen Parameters :Default

beta00 0.400 beta01 0.050 (default : 0.0) Inefficiency 0.100 0.2beta1 0.650 0.900 0.9beta2 2.500 m 3.000 4.0beta30 0.127 beta31 0.000 (default : 1.0)

Incr. Specific Energy, KWH/ton : 0.50 (default : 0.2) Pebbles Recycle Ratio : 0.65

Moly-Cop Tools TM (Version 2.0)SAGSIM_Recycle : Semiautogenous Grinding Mill Simulator

(see Flowsheet)

Area, in2 1/in2/min

in2/(ton/hr) of Pebblesin2/(m3/hr) of Slurry

D50/DGrate

D50/DScreen

J11
Component of the Total Mill Power Draw (Cell J14) contributed by the Ball Charge.
J12
Component of the Total Mill Power Draw (Cell J14) contributed by the Rocks.
J13
Component of the Total Mill Power Draw (Cell J14) contributed by the Interstitial Slurry.
C14
Mill Diameter, inside liners.
D14
Effective Grinding Lenght.
E14
Rotational Mill Speed, expressed as a percentage of the critical centrifugation speed of the mill.
F14
Total Apparent Volumetric Charge Filling - including balls and rocks, plus the interstitial voids in between such balls and rocks - expressed as a percentage of the net internal mill volume (inside liners).
G14
Apparent Volumetric Ball Filling Level, expressed as a percentage of the net internal mill volume (inside liners). Necessarily less or equal than the Total Charge Filling (Cell F14).
H14
This value represents the Volumetric Fractional Filling of the Voids - in between the balls and the rocks - by the retained slurry in the mill charge. In lack of actual measurements, a reasonable default value seems to be of the order of 50%.
I14
Represents the so-called Dynamic Angle of Repose (or Lift Angle) adopted during steady operation by the top surface of the mill charge ("the kidney") with respect to the horizontal. A reasonable default value for this angle is 40°, but may be easily "tuned" to specific applications against any available actual power data.
J14
See spreadsheet Mill Power_SAG Mills.
G25
Expressed as a % of the effective cross sectional area of the mill.
H25
This Cell may be adjusted to any known, desired value by properly varying Cell G25.
J25
This Cell may be adjusted to any known, desired value by properly varying Cell G25.
K25
Rate Constant kg in the expression : Qg = kg A0 Vs where Qg represents the flowrate of slurry through the grate openings, A0 the available open area and Vs the hold-up of slurry in the mill load.
E26
Critical size above which ore particles are considered to be rocks; i. e. they do not fit in the interstitial voids and consequently, add to the total charge volume. A reasonable default value is close to 1/2".
K29
As suggested by Derek J. Barrat. In case the value in Cell I29 is not larger than this value, an increase in available open area should be then considered.
K30
As suggested by Derek J. Barrat. In case the value in Cell I30 is not larger than this value, an increase in available open area should be then considered.
E36
The top Mesh Opening must always be defined to allow 100% of the material passing through such screen.
I36
The top Mesh Opening must always be defined to allow 100% of the material passing through such screen.
K36
The top Mesh Opening must always be defined to allow 100% of the material passing through such screen.
D67
May be estimated from actual experimental data with the aid of SAGParam_Open (for industrial or pilot scale, continuous data). See About ... for further details.
E67
May be estimated from actual experimental data with the aid of SAGParam_Open (for industrial or pilot scale, continuous data). See About ... for further details.
F67
May be estimated from actual experimental data with the aid of SAGParam_Open (for industrial or pilot scale, continuous data). See About ... for further details.
D68
May be estimated from actual experimental data with the aid of SAGParam_Open (for industrial or pilot scale, continuous data). See About ... for further details.
E68
May be estimated from actual experimental data with the aid of SAGParam_Open (for industrial or pilot scale, continuous data). See About ... for further details.
F68
May be estimated from actual experimental data with the aid of SAGParam_Open (for industrial or pilot scale, continuous data). See About ... for further details.
D69
May be estimated from actual experimental data with the aid of SAGParam_Open (for industrial or pilot scale, continuous data). See About ... for further details.
E69
May be estimated from actual experimental data with the aid of SAGParam_Open (for industrial or pilot scale, continuous data). See About ... for further details.
D70
May be estimated from actual experimental data with the aid of SAGParam_Open (for industrial or pilot scale, continuous data). See About ... for further details.
E70
May be estimated from actual experimental data with the aid of SAGParam_Open (for industrial or pilot scale, continuous data). See About ... for further details.
D74
May be estimated from actual experimental data with the aid of SAGParam_Open (for industrial or pilot scale, continuous data). See About ... for further details.
F74
May be estimated from actual experimental data with the aid of SAGParam_Open (for industrial or pilot scale, continuous data). See About ... for further details.
D75
May be estimated from actual experimental data with the aid of SAGParam_Open (for industrial or pilot scale, continuous data). See About ... for further details.
D76
May be estimated from actual experimental data with the aid of SAGParam_Open (for industrial or pilot scale, continuous data). See About ... for further details.
D77
May be estimated from actual experimental data with the aid of SAGParam_Open (for industrial or pilot scale, continuous data). See About ... for further details.
F77
May be estimated from actual experimental data with the aid of SAGParam_Open (for industrial or pilot scale, continuous data). See About ... for further details.
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Remarks Base Case Example

Simulation N° 0ton/hr 2223.4

F80 76085% Solids 95.00 Recycled Pebbles

1451.9 ton/hr

Water, 587.0

50.80 mm, Grate Opening 15.00 % Open Area

Gross kW 10286Charge Level, % 28.00 12.70 mm, Screen Opening

Balls Filling, % 10.00Speed, % Critical 76.00 75.95 % Solids

15.29 % - Size 23kWh/ton 4.63 5589 P80

Moly-Cop Tools TM (Version 2.0)

SAGSIM_Recycle : Semiautogenous Grinding Mill Simulator

m3/hr

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Simulation N° 0 Remarks : Base Case Example

Moly-Cop Tools TM (Version 2.0)SAGSIM_Recycle : Semiautogenous Grinding Mill Simulator

10 100 1000 10000 100000 10000001

10

100

Fresh FeedMill DischargeGround ProductMill LoadCrushed Pebbles

Particle Size, microns

% P

assi

ng

Size Distributions

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SAGSIM_RecycleSemiautogenous Grinding Mill Simulator

Remarks : Base Case Example

Simulation N° 0CIRCUIT MASS BALANCEConfiguration : Pebbles Recycle

Fresh Mill Mill Recycled Crushed Ground MillFeed Feed Discharge Pebbles Pebbles Product Charge

Ore, ton/hr 2223.4 3675.3 3675.3 1451.9 1451.9 2223.4 168.0117.0 146.7 733.7 29.6 29.6 704.1 7.8

Slurry, ton/hr 2340.4 3822.0 4409.0 1481.5 1481.5 2927.5 175.8911.1 1459.3 2046.3 548.2 548.2 1498.1 67.82.569 2.619 2.155 2.703 2.703 1.954 2.593

% Solids (by volume) 87.2 90.0 64.1 94.6 94.6 53.0 88.5 % Solids (by weight) 95.0 96.2 83.4 98.0 98.0 75.9 95.6

i Mesh Opening

1 16" 406400 100.00 100.00 100.00 100.00 100.00 100.00 100.002 8" 203200 95.48 97.27 100.00 100.00 100.00 100.00 94.553 4" 101600 89.44 93.61 100.00 100.00 100.00 100.00 79.324 3" 76100 80.01 87.91 100.00 100.00 100.00 100.00 55.685 2" 50800 61.72 76.84 100.00 100.00 100.00 100.00 19.716 1.05 25400 38.35 62.71 85.57 63.46 100.00 100.00 14.187 0.742 19050 32.90 59.41 81.84 54.04 100.00 100.00 13.188 0.525 12700 27.69 40.66 70.78 26.03 60.51 100.00 10.999 0.371 9500 25.02 32.61 63.81 19.05 44.24 93.04 9.76

10 3 6700 22.44 26.63 57.19 15.41 33.05 84.47 8.6711 4 4750 20.31 22.69 51.34 13.28 26.34 76.19 7.7612 6 3350 18.41 19.70 46.44 11.85 21.67 69.02 7.0013 8 2360 16.68 17.27 41.85 10.63 18.16 62.25 6.3114 10 1700 15.20 15.33 37.98 9.63 15.53 56.50 5.7215 14 1180 13.68 13.45 33.57 8.50 13.11 49.95 5.0516 20 850 12.42 11.97 29.69 7.52 11.28 44.17 4.4717 28 600 11.19 10.58 25.83 6.54 9.64 38.42 3.8918 35 425 10.08 9.35 22.35 5.66 8.25 33.25 3.3619 48 300 9.05 8.26 19.22 4.87 7.05 28.60 2.8920 65 212 8.12 7.29 16.48 4.17 6.03 24.52 2.4821 100 150 7.27 6.44 14.12 3.57 5.16 21.00 2.1222 150 106 6.51 5.68 12.05 3.05 4.41 17.93 1.8123 200 75 5.82 5.01 10.28 2.60 3.78 15.29 1.5524 270 53 5.19 4.42 8.75 2.22 3.23 13.02 1.3225 400 38 4.65 3.91 7.49 1.90 2.78 11.15 1.13

D80, microns 76085 57335 17877 36152 15911 5589 105069

Specific Energy Cons., kWh/ton 4.63 (Gross) 587.0

Moly-Cop Tools TM (Version 2.0)

Water, m3/hr

Slurry, m3/hr Slurry Dens., ton/m3

Particle Size Distributions (Cummulative % Passing)

Water to the Mill, m3/hr

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Op. Work Index, kWh/ton 47.44 Pebbles/Fresh Feed Ratio 0.653

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SAGSIM_RecycleSemiautogenous Grinding Mill Simulator

Remarks : Base Case Example

Simulation N° 0SAG MILL PERFORMANCE

Eff. Diameter, ft 35.0 3.222Eff. Length, ft 17.0 10286Speed, % Critical 76.0 9977Charge Level, % 28.0 Sp. Energy, kWh/ton 4.63Balls Filling, % 10.0Lift Angle, (°) 45.0 Throughput, ton/hr 2223.4Grate Opening, mm 50.8 % Solids (Slurry) 78.0Screen Opening, mm 12.7

Size Distributions (% Passing)Mill Mill Mill

i Mesh Opening Feed Discharge Charge

1 16" 406400 100.00 100.00 100.002 8" 203200 97.27 100.00 94.553 4" 101600 93.61 100.00 79.324 3" 76100 87.91 100.00 55.685 2" 50800 76.84 100.00 19.716 1.05 25400 62.71 85.57 14.187 0.742 19050 59.41 81.84 13.188 0.525 12700 40.66 70.78 10.999 0.371 9500 32.61 63.81 9.76

10 3 6700 26.63 57.19 8.6711 4 4750 22.69 51.34 7.7612 6 3350 19.70 46.44 7.0013 8 2360 17.27 41.85 6.3114 10 1700 15.33 37.98 5.7215 14 1180 13.45 33.57 5.0516 20 850 11.97 29.69 4.4717 28 600 10.58 25.83 3.8918 35 425 9.35 22.35 3.3619 48 300 8.26 19.22 2.8920 65 212 7.29 16.48 2.4821 100 150 6.44 14.12 2.1222 150 106 5.68 12.05 1.8123 200 75 5.01 10.28 1.5524 270 53 4.42 8.75 1.3225 400 38 3.91 7.49 1.13

D80, microns 57335 17877 105069

Moly-Cop Tools TM (Version 2.0)

App. Density, ton/m3

Mill Power, kW (Gross)

Mill Power, kW (Net)

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SAGSIM_Recycle MODEL PARAMETERS

Simulation N° 0

Selection Function Breakage FunctionBalls on Particles : Self-Breakage : beta00 0.400alpha0 0.00358000 alpha0 0.00018000 beta01 0.050alpha1 0.650 alpha1 0.650 beta1 0.650alpha2 3.50 beta2 2.500Dcrit 25400 beta30 0.127

beta31 0.000Rocks on Particles :alpha0 0.00228000 Grate Classification Parametersalpha1 0.650 Inefficiency 0.400alpha2 3.50 0.600Dcrit 9500 m 2.000

Grate Capacity Parameters Screen Classification Parameters15.00 Inefficiency 0.100

0.5 0.900m 3.000

Rate Controlling Condition :'Grinding Kinetics Controlled'

Moly-Cop Tools TM (Version 2.0)

D50/DGrate

Total Available Open Area, in2

Rate Constant, 1/in2/min D50/DScreen

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tons

tons

% %

m3

m3

ton/m3

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SiE

Page 26

Selection Function : (see Plot below)

Balls Rocks Self-Breakagealpha01 0.00358 alpha02 0.00228 alpha03 0.00018alpha11 0.65 alpha12 0.65 alpha13 0.65alpha21 3.5 alpha22 3.5dcrit1 25400 dcrit2 9500

i Mesh Opening Mid-Size SiE SiE SiE SiEBalls Rocks Self Overall

1 16" 4064002 8" 203200 287368 0.0026 0.0001 0.6357 0.21443 4" 101600 143684 0.0187 0.0004 0.4051 0.14554 3" 76100 87930 0.0749 0.0015 0.2944 0.13785 2" 50800 62176 0.1952 0.0041 0.2350 0.18086 1.05 25400 35921 0.7499 0.0196 0.1645 0.44837 0.742 19050 21997 1.4828 0.0762 0.1196 0.82998 0.525 12700 15554 1.6100 0.1828 0.0955 0.92319 0.371 9500 10984 1.4384 0.3624 0.0762 0.8884

10 3 6700 7978 1.2096 0.5080 0.0619 0.814511 4 4750 5641 0.9773 0.5387 0.0494 0.700912 6 3350 3989 0.7830 0.4766 0.0394 0.576613 8 2360 2812 0.6245 0.3924 0.0314 0.463914 10 1700 2003 0.5011 0.3178 0.0252 0.373215 14 1180 1416 0.4001 0.2545 0.0201 0.298216 20 850 1001 0.3194 0.2033 0.0161 0.238117 28 600 714 0.2564 0.1632 0.0129 0.191218 35 425 505 0.2046 0.1303 0.0103 0.152619 48 300 357 0.1634 0.1040 0.0082 0.121820 65 212 252 0.1303 0.0830 0.0066 0.097221 100 150 178 0.1040 0.0663 0.0052 0.077622 150 106 126 0.0830 0.0529 0.0042 0.061923 200 75 89 0.0663 0.0422 0.0033 0.049424 270 53 63 0.0529 0.0337 0.0027 0.039525 400 38 45 0.0424 0.0270 0.0021 0.031626 -400 0 19 0.0000 0.0000 0.0000 0.0000

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Bij

Page 27

Breakage Function :

Parameters for Beta0 Parameters for Beta3Beta00 Beta01 Beta1 Beta2 Beta30 Beta31

0.4 0.05 0.65 2.5 0.127 0

i Mesh Opening Beta0J Beta3J d (chips) Cummulative

1 16" 406400 0.372917 0.127 51612.8 12 8" 203200 0.386068 0.127 25806.4 1 13 4" 101600 0.399683 0.127 12903.2 0.494597 1 14 3" 76100 0.4055 0.127 9664.7 0.438763 0.691162 1 15 2" 50800 0.413777 0.127 6451.6 0.405253 0.505805 0.621946 1 16 1.05 25400 0.428369 0.127 3225.8 0.385497 0.418443 0.443763 0.517408 1 17 0.742 19050 0.434576 0.127 2419.35 0.318589 0.408821 0.424139 0.46426 0.706833 1 18 0.525 12700 0.443476 0.127 1612.9 0.244108 0.398896 0.412264 0.432097 0.52942 0.639761 1 19 0.371 9500 0.44996 0.127 1206.5 0.201923 0.329158 0.404268 0.422643 0.477273 0.533875 0.712805 1 1

10 3 6700 0.457885 0.127 850.9 0.160811 0.261713 0.320938 0.417481 0.448797 0.476054 0.555978 0.679719 111 4 4750 0.465828 0.127 603.25 0.128548 0.209027 0.256125 0.340672 0.437014 0.452129 0.491087 0.547194 0.68730912 6 3350 0.474032 0.127 425.45 0.102426 0.166476 0.203898 0.270902 0.43198 0.441908 0.463363 0.490576 0.55371813 8 2360 0.482408 0.127 299.72 0.081561 0.132531 0.162286 0.215489 0.351125 0.43067 0.45176 0.466879 0.49780414 10 1700 0.490385 0.127 215.9 0.065896 0.107064 0.131086 0.17401 0.283148 0.346849 0.447124 0.457411 0.47546515 14 1180 0.49942 0.127 149.86 0.051973 0.084436 0.103375 0.137202 0.223072 0.273051 0.363414 0.446502 0.46494216 20 850 0.507679 0.127 107.95 0.041992 0.06822 0.083518 0.110838 0.180139 0.220421 0.293092 0.359664 0.46067817 28 600 0.516598 0.127 76.2 0.033484 0.054397 0.066594 0.088374 0.143599 0.175673 0.233467 0.286297 0.36616718 35 425 0.525582 0.127 53.975 0.026761 0.043473 0.053221 0.070625 0.114745 0.14036 0.186485 0.2286 0.2921519 48 300 0.534815 0.127 38.1 0.021339 0.034665 0.042438 0.056315 0.09149 0.111907 0.14866 0.182197 0.23275220 65 212 0.544181 0.127 26.924 0.017028 0.027662 0.033864 0.044937 0.073004 0.089293 0.118609 0.145352 0.18564321 100 150 0.553676 0.127 19.05 0.013599 0.022091 0.027045 0.035888 0.058301 0.071308 0.094716 0.116066 0.14822222 150 106 0.563371 0.127 13.462 0.010852 0.017628 0.021581 0.028637 0.046522 0.056901 0.075578 0.092611 0.11826223 200 75 0.573201 0.127 9.525 0.008666 0.014078 0.017235 0.02287 0.037153 0.045442 0.060357 0.073959 0.0944424 270 53 0.583239 0.127 6.731 0.006915 0.011234 0.013753 0.01825 0.029647 0.036261 0.048163 0.059016 0.07535825 400 38 0.593022 0.127 4.826 0.005571 0.009049 0.011078 0.014701 0.023882 0.029209 0.038796 0.047538 0.060702

Page 28: SAGSim Recycle

Bij

Page 28

i Mesh Opening Partial

1 16" 406400 02 8" 203200 0.505403 03 4" 101600 0.055833 0.308838 04 3" 76100 0.03351 0.185358 0.378054 05 2" 50800 0.019757 0.087362 0.178183 0.482592 06 1.05 25400 0.066908 0.009621 0.019623 0.053148 0.293167 07 0.742 19050 0.074481 0.009925 0.011875 0.032163 0.177413 0.360239 08 0.525 12700 0.042185 0.069738 0.007996 0.009454 0.052147 0.105886 0.287195 09 0.371 9500 0.041112 0.067446 0.08333 0.005162 0.028476 0.057821 0.156827 0.320281 0

10 3 6700 0.032264 0.052685 0.064813 0.076809 0.011783 0.023925 0.064891 0.132525 0.31269111 4 4750 0.026122 0.042552 0.052227 0.06977 0.005034 0.010221 0.027723 0.056618 0.13359112 6 3350 0.020865 0.033945 0.041612 0.055413 0.080856 0.011238 0.011604 0.023697 0.05591413 8 2360 0.015665 0.025467 0.0312 0.041479 0.067977 0.083821 0.004636 0.009468 0.02233914 10 1700 0.013923 0.022627 0.027711 0.036809 0.060076 0.073798 0.08371 0.010909 0.01052315 14 1180 0.009981 0.016217 0.019857 0.026364 0.042933 0.052631 0.070322 0.086838 0.00426416 20 850 0.008508 0.013823 0.016924 0.022464 0.036541 0.044747 0.059625 0.073367 0.09451117 28 600 0.006724 0.010924 0.013374 0.017749 0.028853 0.035313 0.046982 0.057697 0.07401718 35 425 0.005422 0.008808 0.010783 0.01431 0.023255 0.028453 0.037825 0.046403 0.05939819 48 300 0.004311 0.007003 0.008574 0.011378 0.018487 0.022615 0.030051 0.036845 0.04710920 65 212 0.003429 0.005571 0.00682 0.00905 0.014703 0.017984 0.023893 0.029286 0.03742121 100 150 0.002747 0.004463 0.005464 0.00725 0.011779 0.014407 0.019138 0.023455 0.0299622 150 106 0.002185 0.00355 0.004346 0.005767 0.009369 0.011459 0.015221 0.018653 0.02382223 200 75 0.001751 0.002844 0.003482 0.00462 0.007506 0.009181 0.012194 0.014943 0.01908224 270 53 0.001345 0.002185 0.002675 0.003549 0.005766 0.007052 0.009367 0.011478 0.01465625 400 38 0.005571 0.009049 0.011078 0.014701 0.023882 0.029209 0.038796 0.047538 0.060702

1 1 1 1 1 1 1 1 1

Page 29: SAGSim Recycle

Bij

Page 29

11 1

0.688958 1 10.558773 0.693124 1 1

0.50676 0.570519 0.710353 1 10.482258 0.512763 0.573906 0.694947 1 10.473064 0.491089 0.522703 0.580473 0.719873 1 10.467224 0.481173 0.499277 0.528099 0.591708 0.713779 1 10.372263 0.476721 0.489531 0.506311 0.538391 0.59471 0.720726 1 10.296358 0.378995 0.48539 0.497052 0.515734 0.544113 0.602052 0.724188 1 10.236284 0.301952 0.386435 0.487408 0.506269 0.522974 0.552471 0.608956 0.730097 1 10.188616 0.240945 0.308143 0.388198 0.502304 0.514119 0.531704 0.560691 0.617049 0.736128 1 10.150475 0.192184 0.245691 0.309327 0.399977 0.504403 0.522939 0.540321 0.569337 0.624759 0.74104 1 10.120158 0.153447 0.196131 0.246848 0.318974 0.401806 0.513965 0.531789 0.549352 0.578113 0.632575 0.747237 1 10.095877 0.122432 0.156472 0.1969 0.25434 0.320201 0.409122 0.521997 0.540918 0.558425 0.586797 0.640557 0.752369 1 10.077229 0.098616 0.126028 0.158576 0.204799 0.257753 0.329144 0.419518 0.536559 0.550381 0.568093 0.596969 0.651189 0.764647 1

Page 30: SAGSim Recycle

Bij

Page 30

00.311042 00.130185 0.306876 00.052013 0.122605 0.289647 00.024502 0.057757 0.136447 0.305053 00.009195 0.021674 0.051203 0.114474 0.280127 0

0.00584 0.009916 0.023426 0.052374 0.128165 0.286221 00.094961 0.004451 0.009746 0.021788 0.053317 0.11907 0.279274 00.075905 0.097726 0.004141 0.009259 0.022657 0.050597 0.118674 0.275812 00.060074 0.077044 0.098955 0.009644 0.009466 0.021139 0.049581 0.115232 0.269903 00.047667 0.061007 0.078292 0.09921 0.003965 0.008854 0.020767 0.048265 0.113048 0.263872 00.038141 0.048761 0.062452 0.078871 0.102326 0.009717 0.008765 0.02037 0.047713 0.111369 0.25896 00.030318 0.038737 0.04956 0.062479 0.081004 0.102597 0.008974 0.008532 0.019984 0.046646 0.108465 0.252763 00.024281 0.031015 0.039658 0.049948 0.064633 0.081605 0.104844 0.009792 0.008434 0.019687 0.045778 0.10668 0.247631 00.018648 0.023816 0.030444 0.038324 0.049542 0.062447 0.079978 0.102479 0.004359 0.008044 0.018704 0.043588 0.10118 0.235353 00.077229 0.098616 0.126028 0.158576 0.204799 0.257753 0.329144 0.419518 0.536559 0.550381 0.568093 0.596969 0.651189 0.764647 1

1 1 1 1 1 1 1 1 1 1 1 1 1 1 1

Page 31: SAGSim Recycle

Bij

Page 31

1

Page 32: SAGSim Recycle

Bij

Page 32

0

0

Page 33: SAGSim Recycle

J&T

Page 33

Ebar 0.5

Matrix J1 2 3 4 5 6 7 8 9 10

1 0.8983298826 0 0 0 0 0 0 0 0 02 0 0.9298130714 0 0 0 0 0 0 0 03 0 0 0.933419514 0 0 0 0 0 0 04 0 0 0 0.9135789693 0 0 0 0 0 05 0 0 0 0 0.7992141633 0 0 0 0 06 0 0 0 0 0 0.6603704752 0 0 0 07 0 0 0 0 0 0 0.6303119209 0 0 08 0 0 0 0 0 0 0 0.641344255 0 09 0 0 0 0 0 0 0 0 0.6654913631 0

10 0 0 0 0 0 0 0 0 0 0.704383330611 0 0 0 0 0 0 0 0 0 012 0 0 0 0 0 0 0 0 0 013 0 0 0 0 0 0 0 0 0 014 0 0 0 0 0 0 0 0 0 015 0 0 0 0 0 0 0 0 0 016 0 0 0 0 0 0 0 0 0 017 0 0 0 0 0 0 0 0 0 018 0 0 0 0 0 0 0 0 0 019 0 0 0 0 0 0 0 0 0 020 0 0 0 0 0 0 0 0 0 021 0 0 0 0 0 0 0 0 0 022 0 0 0 0 0 0 0 0 0 023 0 0 0 0 0 0 0 0 0 024 0 0 0 0 0 0 0 0 0 025 0 0 0 0 0 0 0 0 0 0

Matrix bij (Partial)1 2 3 4 5 6 7 8 9 10

1 0 0 0 0 0 0 0 0 0 02 0.5054031296 0 0 0 0 0 0 0 0 0

Page 34: SAGSim Recycle

J&T

Page 34

3 0.0558334764 0.3088376766 0 0 0 0 0 0 0 04 0.0335100187 0.1853575487 0.3780540926 0 0 0 0 0 0 05 0.0197566939 0.0873621988 0.1781833921 0.4825920752 0 0 0 0 0 06 0.0669076999 0.0096212243 0.0196233887 0.0531480053 0.2931669436 0 0 0 0 07 0.074481346 0.009924972 0.0118752825 0.0321630269 0.1774127972 0.3602390882 0 0 0 08 0.042184621 0.0697378938 0.0079957204 0.0094537708 0.0521474526 0.1058861089 0.2871948627 0 0 09 0.0411115378 0.0674459597 0.0833300954 0.0051623727 0.0284758951 0.0578206908 0.156827043 0.320281199 0 0

10 0.032263529 0.0526853783 0.0648133249 0.076808794 0.0117826381 0.0239248064 0.0648912454 0.1325246303 0.312691315 011 0.0261217718 0.0425516284 0.0522268822 0.0697695386 0.0050338746 0.0102213506 0.0277233664 0.0566182519 0.1335905303 0.311041584412 0.0208654078 0.0339447931 0.0416119744 0.0554131128 0.0808557728 0.0112376737 0.0116035239 0.0236973833 0.0559138776 0.130185433313 0.0156648241 0.025467094 0.031199626 0.0414791423 0.0679769291 0.0838213206 0.0046359261 0.0094677547 0.022339128 0.05201265214 0.0139229819 0.0226271426 0.0277110118 0.0368086492 0.0600755837 0.0737978027 0.0837098213 0.010909003 0.0105234947 0.024502069615 0.0099805841 0.016216956 0.0198569606 0.0263635663 0.042932721 0.0526305739 0.0703222001 0.086837984 0.0042638947 0.009194624716 0.0085079359 0.0138227608 0.0169237999 0.022463854 0.0365406698 0.0447473651 0.059624845 0.0733669229 0.094510636 0.005839559617 0.0067238462 0.0109235769 0.0133735226 0.0177490275 0.0288533617 0.0353130209 0.0469823965 0.0576967643 0.0740174057 0.094961212718 0.0054217541 0.0088079444 0.0107831059 0.0143100881 0.0232552976 0.0284529544 0.0378250736 0.0464026667 0.0593977412 0.075905107319 0.0043109908 0.0070033417 0.0085737037 0.0113776057 0.0184865223 0.0226146729 0.0300509681 0.0368452308 0.0471086065 0.060074073920 0.0034290509 0.0055705584 0.0068195962 0.0090496684 0.0147027155 0.017984391 0.0238928093 0.0292862546 0.0374210284 0.047667313121 0.0027472958 0.0044630158 0.0054636976 0.0072503043 0.0117787812 0.0144071841 0.0191381379 0.0234546965 0.0299599374 0.038140949122 0.0021852609 0.0035499754 0.0043459295 0.0057669997 0.0093687813 0.011459129 0.0152210757 0.0186526452 0.0238219465 0.030317513423 0.0017507951 0.0028441787 0.0034818795 0.004620402 0.0075059761 0.0091805837 0.0121941042 0.0149426124 0.0190820154 0.024281183624 0.0013448692 0.002184748 0.0026745946 0.0035491418 0.0057656432 0.0070519313 0.0093665643 0.0114775008 0.0146563106 0.01864804925 0.005570579 0.0090494335 0.0110784188 0.0147008544 0.0238816434 0.0292093517 0.0387960363 0.0475384997 0.060702132 0.0772286742

1 1 1 1 1 1 1 1 1 1

Matrix T1 2 3 4 5 6 7 8 9 10

1 1 0 0 0 0 0 0 0 0 02 -1.5731271674 1 0 0 0 0 0 0 0 03 0.7664700026 -5.8056435711 1 0 0 0 0 0 0 04 -0.138922594 -7.8198787979 1.2123913008 1 0 0 0 0 0 05 -0.0387712619 -2.6825457286 0.4197794678 0.3261479208 1 0 0 0 0 06 0.0126527516 -0.645781389 0.1004421072 0.0808266893 0.3443228975 1 0 0 0 07 0.0209484904 -0.5915080559 0.091811147 0.0753266031 0.3842787663 3.2087349655 1 0 0 0

Page 35: SAGSim Recycle

J&T

Page 35

8 -0.0008234603 -0.3848444403 0.0614889028 0.0514478473 0.3533239497 16.051589223 -7.6391997371 1 0 09 0.0082592427 -0.4851222631 0.0791815748 0.0544714243 0.5064035235 -328.79556963 18.677878099 -3.8492450566 1 0

10 0.006332126 -0.6915629709 0.111676061 0.0800889653 0.8142986998 632.60839579 -17.628350798 4.6000727448 -2.2419678637 111 0.0066733385 -0.8904302326 0.1428823679 0.1059552832 2.068554685 -406.66716229 6.260309059 -2.0341345238 1.5970230561 -1.753643038812 0.0030473536 -1.4671741741 0.2311579884 0.1872428934 32.843462465 78.751239254 -0.4348205525 0.2224420764 -0.3524178408 0.924365919113 0.005199192 -2.2242175166 0.3429821888 0.3136845905 -62.087480035 1.8999771351 -0.0388119587 0.0152057019 -0.0045378884 -0.112017329214 0.0278716653 -4.0862937545 0.6112840725 0.6780427608 32.141346554 -0.318803954 -0.0594117637 -0.0063889493 -0.0008262341 -0.011262004115 0.1577920229 -7.4215077774 1.0531492331 1.7421924526 -4.4354798281 -2.1436300187 0.7473256125 -0.1128860644 -0.0006029162 -0.001644031216 -0.5790052454 -20.506314865 2.5982123194 17.107755943 -0.7660142113 36.087131273 -1.3685945209 0.3286599848 -0.1170213343 -0.002708208517 0.394007396 -227.13663507 14.579294298 -35.567518126 -0.4594323228 -36.117039417 0.5639438748 -0.1841877422 0.1401223911 -0.118471850118 -0.0776695902 437.38237851 -45.461410505 17.92475454 -0.6325152186 6.9760371465 -0.0484557486 0.0210080488 -0.0312243304 0.085252090319 -0.0103170651 -204.64702031 28.739222829 -1.994398149 -4.27002211 -0.1852052871 -0.0109334189 0.0017492904 0.0013377499 -0.011417505220 -0.0070363213 18.710597743 -4.5597405105 -0.3935384287 2.8524796882 -0.2753060917 -0.0069519148 0.0006012753 0.0014224403 -0.001818661621 -0.0119830446 4.7433991205 -0.7953394397 -0.3789090568 -0.5564184246 -0.2109636288 -0.0047757467 0.0008966344 0.0011986267 -0.000828306922 -0.0267223794 4.3172809185 -0.6792687744 -0.6790292468 -0.1502536492 -0.1550683747 -0.0218644218 0.0033847505 0.0011362917 -0.000582828523 0.0415388915 8.514577245 -1.0827608971 -2.5231579166 -0.0822221173 -0.9474141023 0.0115973079 -0.004483808 0.0035988148 -0.000218028224 -0.0040853805 34.502611509 -2.6876547518 1.7825148385 -0.0476448798 -0.0491425148 -0.0007288235 -0.0001872553 8.7399637E-05 0.002413745725 0.0176710369 -21.68436413 3.8912190197 0.0260981719 0.1790115681 -0.717799482 0.0018454527 -0.0025071076 0.0026716378 0.0025800373

-1.07336E-16 0 0 4.3021142E-16 4.8155924E-15 3.4056091E-14 9.6201259E-16 -3.152318E-17 -1.420305E-17 8.3537777E-17Vector SiE

1 2 3 4 5 6 7 8 9 101 0.2144358513 0.1455434231 0.1378010786 0.1807709199 0.4482526598 0.8299085509 0.923080939 0.888377814 0.8144592385 0.7008651347

Matrix Tij (inverse)1 2 3 4 5 6 7 8 9 10

1 1 0 -2.200833E-16 4.9081715E-17 -2.876357E-17 -3.95389E-17 -1.123944E-16 -1.824781E-17 -1.152713E-16 -1.234219E-162 1.5731271674 1 -3.46219E-16 7.721178E-17 -4.524875E-17 -6.219972E-17 -1.768106E-16 -2.870613E-17 -1.813365E-16 -1.941584E-163 8.3665456236 5.8056435711 1 0 -3.064538E-16 -9.176754E-16 -9.508027E-16 -2.263432E-16 -9.843995E-16 -1.033234E-154 2.2970592453 0.7811670367 -1.2123913008 1 -2.034247E-17 9.2077874E-16 -1.925435E-16 0 -2.171191E-16 -3.458498E-165 -0.0025283407 -0.0093202448 -0.0243605658 -0.3261479208 1 1.1594087E-16 2.9336316E-17 -2.249644E-17 -2.898707E-17 1.0611437E-166 -0.0219031049 0.0027203435 0.0059393684 0.0314735078 -0.3443228975 1 -5.813525E-17 1.5964968E-16 -8.243219E-17 1.6406331E-167 0.0396499285 -0.0055046877 -0.0101824394 -0.0509850275 0.7205621543 -3.2087349655 1 -1.825167E-16 5.4320689E-16 -3.487837E-168 0.6289709305 -0.0947517549 -0.1636287991 -0.8308966035 10.67812398 -40.563756527 7.6391997371 1 5.4050087E-15 -5.347659E-159 -5.5525773649 0.6201208416 1.5123724091 8.2130084498 -86.074102874 232.58809088 10.727273726 3.8492450566 1 3.9901711E-14

Page 36: SAGSim Recycle

J&T

Page 36

10 -0.8216298898 -0.003556577 0.2118606813 1.6117914471 -12.385940088 18.878154671 6.5376792531 4.0298109715 2.2419678637 111 -0.4888350633 -0.0511698485 0.1384507742 1.7071111998 -9.1417622558 5.8996981264 3.6119031043 2.9536513779 2.3345882814 1.753643038812 -0.3390132334 0.230900955 0.914799781 12.294649101 -41.033969345 2.661496333 2.1462447645 2.0485547927 1.9470944534 1.830184474113 -0.5018489031 -0.2147459262 -0.1936934604 -3.3537507833 6.3322560692 1.6331404765 1.3904096767 1.4501309603 1.5292088676 1.61340703714 -0.7726335999 -0.1675007176 0.127698771 -3.0064248555 2.9627900449 1.3238797143 1.0975987796 1.0851369481 1.2130929773 1.374426816215 -2.1010711824 -0.1808145034 1.3077443836 -4.5165689686 1.9728718117 1.1345210785 0.9320954923 0.8594703968 0.862781338 1.023385208116 -30.867840865 -8.1279326776 19.960492609 -22.266519249 1.6735306769 1.1287288706 0.9527626461 0.8558746507 0.7840403732 0.812037161517 275.06114504 159.11422526 -30.814773871 7.1458826446 1.4042158765 1.0661806195 0.9423288469 0.8567911992 0.7624220611 0.70680321818 43.100504436 34.289368707 14.836469699 3.0598280965 1.2151979345 1.0087749028 0.9364010331 0.8770159814 0.7945258848 0.713181527919 7.0116855874 6.3172440475 4.2808814555 1.9508470777 1.0569574017 0.9293757542 0.9010785724 0.8726588564 0.8198776821 0.750088288820 3.1668775487 3.0045142665 2.3871264581 1.4515178918 0.9337105739 0.8494286685 0.8433472777 0.8421584696 0.8217646658 0.779071479421 1.9941414078 1.9392889525 1.6671846134 1.1805900599 0.8446846966 0.7826943061 0.781525378 0.7905607059 0.7970915916 0.78483306422 1.4556464677 1.4350489329 1.2924851397 1.0067238387 0.7752718561 0.7258164744 0.7212643622 0.729379018 0.7439894212 0.757058221123 1.1591408298 1.15183163 1.069481638 0.8895542577 0.7252836832 0.6843285822 0.674591462 0.6769947921 0.688063745 0.70695517824 0.9609208979 0.9588831121 0.9087868119 0.7919707605 0.6762126419 0.6433144646 0.6305549795 0.6272529501 0.6307018452 0.644319953725 1 1 1 1 1 1 1 1 1 1

307.34553356 208.79566072 20.202744157 8.9836549248 -115.00842806 230.16513243 43.466259091 25.404687127 18.971211051 16.249394667Matrix TJ

1 2 3 4 5 6 7 8 9 101 0.8983298826 0 0 0 0 0 0 0 0 02 -1.4131871436 0.9298130714 0 0 0 0 0 0 0 03 0.6885429074 -5.3981632801 0.933419514 0 0 0 0 0 0 04 -0.1247983176 -7.2710255228 1.1316696988 0.9135789693 0 0 0 0 0 05 -0.0348293832 -2.494266083 0.3918303468 0.2979618814 0.7992141633 0 0 0 0 06 0.0113663449 -0.6004559768 0.0937546229 0.0738415635 0.2751877364 0.6603704752 0 0 0 07 0.0188186549 -0.5499919222 0.0856983162 0.0688168004 0.3071210327 2.1189538338 0.6303119209 0 0 08 -0.000739739 -0.357833391 0.0573949417 0.0470016713 0.2823815048 10.599995602 -4.8150786607 0.641344255 0 09 0.0074195245 -0.4510730214 0.0739096271 0.0497639477 0.4047248684 -217.12688655 11.772889223 -2.468691203 0.6654913631 0

10 0.005688338 -0.64302429 0.1042406146 0.0731675944 0.6507990541 417.75590692 -11.111359655 2.9502302273 -1.4920102497 0.704383330611 0.0059948594 -0.8279336695 0.1333691904 0.0967985184 1.6532182019 -268.55098719 3.9459474286 -1.3045804906 1.0628050505 -1.235236924312 0.0027375288 -1.3641977251 0.2157673772 0.1710611696 26.248960375 52.004993286 -0.2740725777 0.1426619477 -0.2345310293 0.651107944813 0.0046705895 -2.0681065205 0.320146268 0.2865756449 -49.62119341 1.2546888035 -0.0244636402 0.0097520896 -0.0030199255 -0.078903139414 0.0250379498 -3.7994893464 0.5705844819 0.6194456066 25.687819395 -0.2105287186 -0.0374479429 -0.004097516 -0.0005498517 -0.00793276815 0.1417492894 -6.9006149407 0.9830300454 1.5916303852 -3.5448982998 -1.415589974 0.4710482424 -0.0723988289 -0.0004012355 -0.001158028116 -0.5201377141 -19.067039607 2.4252220805 15.629286042 -0.6122094069 23.830876026 -0.8626414415 0.2107841931 -0.0778766873 -0.001907617

Page 37: SAGSim Recycle

J&T

Page 37

17 0.3539486178 -211.19461228 13.608597799 -32.49373655 -0.3671848195 -23.850626481 0.355460547 -0.1181277503 0.0932502411 -0.083449596418 -0.0697729138 406.68385273 -42.4345677 16.375678777 -0.5055151213 4.6067689652 -0.030542236 0.0134733914 -0.0207795222 0.060050151319 -0.0092681279 -190.2834745 26.825751406 -1.8220402054 -3.4126621481 -0.1223041034 -0.0068914643 0.0011218974 0.000890261 -0.008042300320 -0.0063209377 17.397358355 -4.2561507714 -0.3595284321 2.2797421674 -0.1818040146 -0.0043818747 0.0003856244 0.0009466217 -0.001281034921 -0.010764727 4.410474505 -0.7423853533 -0.3461633455 -0.4446974857 -0.1393141518 -0.0030102101 0.0005750513 0.0007976757 -0.000583445622 -0.0240055119 4.0142642308 -0.6340427293 -0.6203468395 -0.1200848445 -0.1024025763 -0.0137814057 0.0021707903 0.0007561923 -0.000410534723 0.0373156275 7.9169652196 -1.0106701503 -2.3051040089 -0.0657130807 -0.6256443009 0.0073099214 -0.0028756645 0.0023949801 -0.000153575424 -0.0036700194 32.080979177 -2.5087093922 1.6284680689 -0.0380784627 -0.0324522659 -0.0004593861 -0.0001200951 5.8163704E-05 0.001700202225 0.0158744205 -20.162405213 3.6321397663 0.023842741 0.1430685807 -0.474013585 0.0011632108 -0.0016079191 0.0017779519 0.0018173353

Matrix TJT(inv)1 2 3 4 5 6 7 8 9 10

1 0.8983298826 0 -1.977074E-16 4.4091572E-17 -2.583917E-17 -3.551898E-17 -1.009672E-16 -1.639256E-17 -1.035517E-16 -1.108736E-162 0.0495270597 0.9298130714 -1.090008E-17 2.430873E-18 -1.424575E-18 -1.958246E-18 -5.566563E-18 -9.037605E-19 -5.709051E-18 -6.112726E-183 0.0060425471 0.0209377205 0.933419514 -3.830069E-16 -6.159472E-17 -5.480361E-16 -1.043347E-17 -6.887718E-17 -1.934303E-17 -1.322911E-184 0.0036650808 0.0127031648 0.0240545038 0.9135789693 -3.279442E-17 2.5988878E-16 4.7722935E-17 -4.514544E-17 2.051736E-17 -5.810668E-175 0.002054761 0.0058703793 0.0111146447 0.0372998437 0.7992141633 1.6396524E-16 3.8449409E-17 -3.443132E-17 -1.726142E-17 6.5487208E-176 0.0056335786 0.0007641596 0.0014482082 0.0048738307 0.047807061 0.6603704752 -2.878818E-17 9.5045823E-17 -6.316272E-17 1.3031614E-167 0.0064902079 0.0007315411 0.0009509183 0.0032043536 0.0316956246 0.0964499339 0.6303119209 2.1238624E-16 1.5707877E-16 1.5250627E-168 0.0040884501 0.0040381149 0.0005756864 0.00112873 0.0113503215 0.0349746539 0.0842782031 0.641344255 -3.280983E-17 1.2775742E-179 0.0040999328 0.0042538434 0.0046633799 0.0006912545 0.0070192009 0.0217867004 0.0529720491 0.0929481368 0.6654913631 6.3248011E-17

10 0.003340988 0.0035828685 0.0040393651 0.0057575822 0.0033676203 0.0105364342 0.0258682588 0.045648823 0.0871945412 0.704383330611 0.0027671158 0.0030130813 0.0034377505 0.0056052836 0.0016341355 0.0051456992 0.0127312134 0.022566839 0.0433438218 0.079213436612 0.0022626339 0.0025064472 0.0029152899 0.0049941635 0.0148827913 0.0045010929 0.0059948867 0.0106632887 0.0205683779 0.037723743213 0.0018018685 0.0019179817 0.0022510216 0.0039418682 0.0139161959 0.0264016131 0.0026290347 0.0046885556 0.0090725721 0.016683606114 0.0017306665 0.0017243206 0.002023021 0.0035878848 0.0132724245 0.0262886656 0.0293006216 0.0045075134 0.0045974952 0.008470101315 0.0013348107 0.0013154675 0.0014671105 0.0026135694 0.0099366562 0.0201594357 0.0270532432 0.0296708828 0.0019392453 0.003395915716 0.0012147779 0.0012020248 0.0013401439 0.002239782 0.0086314328 0.0177236359 0.0244400095 0.0277180498 0.0303884417 0.002085461317 0.0010137854 0.0010078018 0.0011246732 0.0018655419 0.0068860347 0.0142271672 0.0198853814 0.0229127101 0.0259147142 0.027184560618 0.0008550215 0.0008536256 0.0009537932 0.0015821536 0.005573188 0.0115509508 0.0162554616 0.0188774622 0.0216703393 0.023317660119 0.0007057461 0.0007073549 0.0007916202 0.0013152035 0.0046129607 0.0092503163 0.0130043932 0.0151598445 0.0175266686 0.019081921320 0.000576415 0.0005788348 0.0006485999 0.0010792224 0.0037909969 0.0076022648 0.0103653412 0.0121037145 0.0140361539 0.015357077721 0.0004744209 0.0004766702 0.000534732 0.0008912796 0.0031387386 0.0063009655 0.0085497098 0.009741227 0.0112819191 0.012376401222 0.0003846935 0.000386604 0.0004337338 0.0007237848 0.0025542625 0.0051331989 0.0069687401 0.0079371918 0.0089913278 0.009864918523 0.0003136071 0.0003152386 0.0003536948 0.0005903494 0.0020874105 0.0041995377 0.0057059401 0.0065003216 0.0073623445 0.0079185645

Page 38: SAGSim Recycle

J&T

Page 38

24 0.0002442408 0.000245565 0.0002755397 0.0004599465 0.0016280035 0.0032781605 0.0044574715 0.0050797365 0.0057544828 0.006188337625 0.001047708 0.0010541183 0.0011830554 0.0019754025 0.0070007768 0.0141190984 0.01922812 0.0219314477 0.0248661914 0.0267549637

1 1 1 1 1 1 1 1 1 1Matrix {TJT(inv)} (transpose)

1 2 3 4 5 6 7 8 9 101 0.8983298826 0.0495270597 0.0060425471 0.0036650808 0.002054761 0.0056335786 0.0064902079 0.0040884501 0.0040999328 0.0033409882 0 0.9298130714 0.0209377205 0.0127031648 0.0058703793 0.0007641596 0.0007315411 0.0040381149 0.0042538434 0.00358286853 -1.977074E-16 -1.090008E-17 0.933419514 0.0240545038 0.0111146447 0.0014482082 0.0009509183 0.0005756864 0.0046633799 0.00403936514 4.4091572E-17 2.430873E-18 -3.830069E-16 0.9135789693 0.0372998437 0.0048738307 0.0032043536 0.00112873 0.0006912545 0.00575758225 -2.583917E-17 -1.424575E-18 -6.159472E-17 -3.279442E-17 0.7992141633 0.047807061 0.0316956246 0.0113503215 0.0070192009 0.00336762036 -3.551898E-17 -1.958246E-18 -5.480361E-16 2.5988878E-16 1.6396524E-16 0.6603704752 0.0964499339 0.0349746539 0.0217867004 0.01053643427 -1.009672E-16 -5.566563E-18 -1.043347E-17 4.7722935E-17 3.8449409E-17 -2.878818E-17 0.6303119209 0.0842782031 0.0529720491 0.02586825888 -1.639256E-17 -9.037605E-19 -6.887718E-17 -4.514544E-17 -3.443132E-17 9.5045823E-17 2.1238624E-16 0.641344255 0.0929481368 0.0456488239 -1.035517E-16 -5.709051E-18 -1.934303E-17 2.051736E-17 -1.726142E-17 -6.316272E-17 1.5707877E-16 -3.280983E-17 0.6654913631 0.0871945412

10 -1.108736E-16 -6.112726E-18 -1.322911E-18 -5.810668E-17 6.5487208E-17 1.3031614E-16 1.5250627E-16 1.2775742E-17 6.3248011E-17 0.704383330611 -3.952147E-17 -2.178912E-18 2.2084236E-17 -5.807506E-17 9.5606178E-17 4.0956602E-17 5.9859041E-17 1.3954524E-17 6.5858675E-18 5.0950572E-1812 -8.128721E-17 -4.481557E-18 -4.072506E-18 -8.43942E-19 1.6985078E-17 -3.263448E-18 2.5442567E-17 6.9914099E-18 3.9643096E-18 4.005905E-1813 9.307222E-18 5.1312925E-19 -8.084834E-17 -3.759743E-17 4.4264754E-17 -2.295697E-17 1.3526227E-18 -5.954246E-19 -2.020712E-18 -4.954448E-1814 -1.053031E-16 -5.805608E-18 2.184408E-17 -8.663138E-17 3.9705093E-17 -2.568668E-18 -1.31741E-18 -4.751741E-19 -6.516015E-19 -1.580031E-1815 1.1649705E-17 6.4227589E-19 -1.011966E-16 -6.499419E-17 -2.362749E-17 -5.235428E-18 -4.576562E-18 -2.938729E-18 -4.478186E-18 -6.240156E-1816 -1.369607E-16 -7.550971E-18 3.3089719E-17 -6.072331E-17 -1.941536E-17 -7.949833E-18 -8.889062E-18 -6.86167E-18 -7.480893E-18 -9.55728E-1817 -5.530303E-17 -3.048987E-18 -2.425507E-17 6.6633317E-17 2.0973208E-17 4.0654177E-18 3.2586508E-18 1.9522791E-18 1.4502112E-18 2.8928811E-1818 0 0 0 0 0 0 0 0 0 019 0 0 0 0 0 0 0 0 0 020 0 0 0 0 0 0 0 0 0 021 0 0 0 0 0 0 0 0 0 022 0 0 0 0 0 0 0 0 0 023 0 0 0 0 0 0 0 0 0 024 0 0 0 0 0 0 0 0 0 025 0 0 0 0 0 0 0 0 0 0

0.8983298826 0.979340131 0.9603997816 0.9540017188 0.855553792 0.7208973134 0.7698345003 0.781778415 0.8539258609 0.8937198119

Page 39: SAGSim Recycle

J&T

Page 39

11 12 13 14 15 16 17 18 19 200 0 0 0 0 0 0 0 0 00 0 0 0 0 0 0 0 0 00 0 0 0 0 0 0 0 0 00 0 0 0 0 0 0 0 0 00 0 0 0 0 0 0 0 0 00 0 0 0 0 0 0 0 0 00 0 0 0 0 0 0 0 0 00 0 0 0 0 0 0 0 0 00 0 0 0 0 0 0 0 0 00 0 0 0 0 0 0 0 0 0

0.7495541178 0 0 0 0 0 0 0 0 00 0.7929803848 0 0 0 0 0 0 0 00 0 0.8297591923 0 0 0 0 0 0 00 0 0 0.8614686235 0 0 0 0 0 00 0 0 0 0.8877433984 0 0 0 0 00 0 0 0 0 0.9088421624 0 0 0 00 0 0 0 0 0 0.9265323202 0 0 00 0 0 0 0 0 0 0.9409025612 0 00 0 0 0 0 0 0 0 0.9525698974 00 0 0 0 0 0 0 0 0 0.96195195310 0 0 0 0 0 0 0 0 00 0 0 0 0 0 0 0 0 00 0 0 0 0 0 0 0 0 00 0 0 0 0 0 0 0 0 00 0 0 0 0 0 0 0 0 0

11 12 13 14 15 16 17 18 19 200 0 0 0 0 0 0 0 0 00 0 0 0 0 0 0 0 0 0

Page 40: SAGSim Recycle

J&T

Page 40

0 0 0 0 0 0 0 0 0 00 0 0 0 0 0 0 0 0 00 0 0 0 0 0 0 0 0 00 0 0 0 0 0 0 0 0 00 0 0 0 0 0 0 0 0 00 0 0 0 0 0 0 0 0 00 0 0 0 0 0 0 0 0 00 0 0 0 0 0 0 0 0 00 0 0 0 0 0 0 0 0 0

0.3068755424 0 0 0 0 0 0 0 0 00.1226051978 0.2896471835 0 0 0 0 0 0 0 00.0577567375 0.136446714 0.305052772 0 0 0 0 0 0 00.0216737417 0.0512028719 0.1144738305 0.2801271386 0 0 0 0 0 00.0099162352 0.0234264914 0.0523744099 0.1281646077 0.2862205444 0 0 0 0 00.0044511833 0.0097455823 0.0217881165 0.0533173626 0.1190697246 0.2792741715 0 0 0 00.0977260145 0.0041412577 0.0092585751 0.0226565158 0.050597122 0.1186739061 0.2758121371 0 0 00.0770437544 0.0989547365 0.009644397 0.0094657201 0.021139093 0.049581056 0.1152322146 0.2699027489 0 00.0610065966 0.0782923166 0.0992100294 0.003964691 0.0088540514 0.0207668901 0.0482646988 0.1130480301 0.2638723087 00.0487612075 0.0624517993 0.0788712308 0.1023264856 0.0097168322 0.0087647752 0.0203703701 0.047712516 0.1113686965 0.25895993830.0387370424 0.0495604326 0.0624785048 0.0810039145 0.1025965491 0.0089737872 0.0085320739 0.0199842572 0.0466464747 0.10846466370.0310149378 0.0396584542 0.0499481899 0.0646333184 0.0816053003 0.1048435779 0.0097918218 0.0084344609 0.0196873901 0.04577808210.0238158301 0.0304441174 0.0383241335 0.0495415888 0.0624474166 0.0799782711 0.1024789864 0.0043590666 0.0080440611 0.01870444410.0986159788 0.1260280427 0.1585758106 0.2047986568 0.2577533664 0.329143565 0.4195176973 0.5365589203 0.5503810689 0.5680928718

1 1 1 1 1 1 1 1 1 1

11 12 13 14 15 16 17 18 19 200 0 0 0 0 0 0 0 0 00 0 0 0 0 0 0 0 0 00 0 0 0 0 0 0 0 0 00 0 0 0 0 0 0 0 0 00 0 0 0 0 0 0 0 0 00 0 0 0 0 0 0 0 0 00 0 0 0 0 0 0 0 0 0

Page 41: SAGSim Recycle

J&T

Page 41

0 0 0 0 0 0 0 0 0 00 0 0 0 0 0 0 0 0 00 0 0 0 0 0 0 0 0 01 0 0 0 0 0 0 0 0 0

-1.5707588901 1 0 0 0 0 0 0 0 00.6904413214 -1.4819147267 1 0 0 0 0 0 0 0

-0.0448537775 0.6363338615 -1.5179775437 1 0 0 0 0 0 0-0.0027700179 -0.0602324081 0.6224580417 -1.3903434496 1 0 0 0 0 0-0.0006229364 -0.0077585063 -0.0217200568 0.528140266 -1.4509530598 1 0 0 0 0-0.0006004319 -0.001497265 -0.002200778 -0.0320907211 0.5741438519 -1.3847289679 1 0 0 0-0.1216932973 -0.0003947576 -0.000452222 -0.0035996395 -0.0283660068 0.5134396148 -1.3674671353 1 0 00.0612499325 -0.1143957116 -0.0079279173 -0.0007307923 -0.0031618331 -0.0213848299 0.4939644137 -1.3340996901 1 0

-0.0070495527 0.0541206432 -0.12255633 -0.0001939658 -0.0006576626 -0.0025832349 -0.0159828071 0.4618984154 -1.3082344445 1-0.0026542516 -0.0110871136 0.0579494349 -0.1187148072 -0.0082596406 -0.0005566689 -0.0020404777 -0.0109088242 0.4385742026 -1.2838773812-0.0019873779 -0.0050240243 -0.0051117777 0.0434896974 -0.1190919904 -0.007303645 -0.0004415614 -0.0014216165 -0.0081750357 0.4151872899-0.0015786571 -0.0036448238 -0.0027263007 -0.0097993636 0.0520410243 -0.1210150206 -0.0084725608 -0.0003160301 -0.0011199536 -0.0039915181-0.0011766024 -0.0027529185 -0.0020132196 -0.0055316049 -0.0073307098 0.0456188523 -0.1255688092 -0.0013184905 -0.0002442328 -0.00054595750.0040545389 -0.0017522492 0.0022786691 -0.0106256193 -0.0083639731 -0.0214860999 0.0260089379 -0.1138337639 -0.120800536 -0.126772433

-1.071192E-16 7.4051008E-17 -4.28802E-17 -4.361203E-17 3.1441863E-17 0 0 0 0 0

11 12 13 14 15 16 17 18 19 200.5765535176 0.4639135863 0.3732395001 0.298233289 0.2381450871 0.1911676773 0.1526126994 0.1218313858 0.0971835831 0.0775815488

11 12 13 14 15 16 17 18 19 20-4.399438E-17 -9.048704E-17 1.0360584E-17 -1.172209E-16 1.2968181E-17 -1.524615E-16 -6.156205E-17 0 0 0-6.920876E-17 -1.423476E-16 1.6298516E-17 -1.844034E-16 2.0400598E-17 -2.398414E-16 -9.684494E-17 0 0 0-3.441367E-16 -7.608411E-16 0 -9.565733E-16 0 -1.239139E-15 -5.406484E-16 0 0 0-1.941103E-16 -2.037359E-16 8.9978508E-17 -3.935484E-16 9.2994136E-17 -4.612042E-16 -3.653341E-17 0 0 01.4280213E-16 2.2030175E-17 7.3157207E-17 8.4768213E-17 0 0 0 0 0 01.0903367E-17 -1.11972E-17 -6.066945E-17 -2.505597E-17 0 0 0 0 0 0-2.361671E-18 7.145517E-17 1.7454425E-16 5.6457647E-17 0 0 0 0 0 0-2.326987E-16 7.262304E-16 2.2825451E-15 8.1135289E-16 0 0 0 0 0 02.6653237E-15 -2.226513E-15 -1.445818E-14 -6.204437E-15 0 0 0 0 0 0

Page 42: SAGSim Recycle

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Page 42

0 0 -1.51915E-15 -8.550858E-16 0 0 0 0 0 01 0 -8.497692E-16 -6.397252E-16 0 0 0 0 0 0

1.5707588901 1 -2.908389E-15 -3.350339E-15 0 0 0 0 0 01.6372894099 1.4819147267 1 6.9644333E-16 0 0 0 0 0 01.5306952643 1.6131794152 1.5179775437 1 0 0 0 0 0 01.2064287827 1.3806761024 1.4880520928 1.3903434496 1 6.671315E-16 0 0 0 00.9904214276 1.1912569881 1.3791087302 1.4891828163 1.4509530598 1 0 0 0 00.7344782725 0.9133880851 1.1062496202 1.2959481618 1.4350328811 1.3847289679 1 0 0 00.6586386056 0.6834257031 0.8527974336 1.0505992 1.2457495297 1.3801317402 1.3674671353 1 0 00.6734150146 0.6177402124 0.6345030685 0.7984245408 0.9872891033 1.178611324 1.3303730678 1.3340996901 1 00.7148476831 0.6388698843 0.5812459243 0.5849245212 0.7435375468 0.9291343578 1.1247917756 1.2834167517 1.3082344445 10.7485396136 0.6874110918 0.6148475717 0.5459356376 0.5471966635 0.6944238566 0.8775853482 1.0735568545 1.24103841 1.28387738120.7505936712 0.718176326 0.6624432813 0.5828463142 0.5171789811 0.5039670951 0.6460111839 0.8248009642 1.0202241507 1.19370793860.7243112599 0.7214025741 0.6939253849 0.6354719091 0.5623338885 0.4869027108 0.4667394719 0.6020843478 0.7762891172 0.97026830340.6654763191 0.6855518145 0.6852595566 0.6579101162 0.6059161146 0.5285822188 0.4512471155 0.4219153049 0.557270022 0.724788307

1 1 1 1 1 1 1 1 1 1

14.605894214 13.332992924 12.216410208 11.031586667 10.095187768 9.0864822712 8.2642150983 7.5398739132 6.9030561444 6.1726419301

11 12 13 14 15 16 17 18 19 200 0 0 0 0 0 0 0 0 00 0 0 0 0 0 0 0 0 00 0 0 0 0 0 0 0 0 00 0 0 0 0 0 0 0 0 00 0 0 0 0 0 0 0 0 00 0 0 0 0 0 0 0 0 00 0 0 0 0 0 0 0 0 00 0 0 0 0 0 0 0 0 00 0 0 0 0 0 0 0 0 00 0 0 0 0 0 0 0 0 0

0.7495541178 0 0 0 0 0 0 0 0 0-1.1773687942 0.7929803848 0 0 0 0 0 0 0 00.5175231356 -1.1751293101 0.8297591923 0 0 0 0 0 0 0

-0.0336203337 0.5046002703 -1.2595558206 0.8614686235 0 0 0 0 0 0-0.0020762783 -0.0477631182 0.5164902819 -1.1977372577 0.8877433984 0 0 0 0 0-0.0004669245 -0.0061523433 -0.0180224168 0.454976268 -1.2880740002 0.9088421624 0 0 0 0

Page 43: SAGSim Recycle

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-0.0004500562 -0.0011873018 -0.0018261158 -0.0276451493 0.5096924142 -1.2585000695 0.9265323202 0 0 0-0.0912157121 -0.000313035 -0.0003752353 -0.0031009765 -0.0251817353 0.4666355698 -1.2670024976 0.9409025612 0 00.0459101391 -0.0907135554 -0.0065782622 -0.0006295547 -0.0028068965 -0.019435435 0.4576739943 -1.2552578153 0.9525698974 0

-0.0052840213 0.0429166085 -0.1016922414 -0.0001670955 -0.0005838357 -0.0023477528 -0.0148085874 0.434601402 -1.2461847506 0.9619519531-0.0019895052 -0.0087918636 0.0480840763 -0.1022690815 -0.0073324414 -0.0005059242 -0.0018905686 -0.0102641407 0.4177725832 -1.2350283543-0.0014896473 -0.0039839527 -0.0042415445 0.0374650097 -0.1057231283 -0.0066378606 -0.0004091209 -0.0013376026 -0.0077872929 0.3993902244-0.0011832889 -0.0028902738 -0.002262173 -0.0084418443 0.0461990758 -0.109983553 -0.0078501014 -0.0002973535 -0.0010668341 -0.0038396487-0.0008819272 -0.0021830104 -0.0016704875 -0.004765304 -0.0065077892 0.0414603363 -0.1163435601 -0.001240571 -0.0002326488 -0.00052518490.0030390964 -0.0013894993 0.0018907466 -0.0091536377 -0.0074250619 -0.0195274735 0.0240981216 -0.10710648 -0.1150709542 -0.1219489895

11 12 13 14 15 16 17 18 19 20-3.952147E-17 -8.128721E-17 9.307222E-18 -1.053031E-16 1.1649705E-17 -1.369607E-16 -5.530303E-17 0 0 0-2.178912E-18 -4.481557E-18 5.1312925E-19 -5.805608E-18 6.4227589E-19 -7.550971E-18 -3.048987E-18 0 0 02.2084236E-17 -4.072506E-18 -8.084834E-17 2.184408E-17 -1.011966E-16 3.3089719E-17 -2.425507E-17 0 0 0-5.807506E-17 -8.43942E-19 -3.759743E-17 -8.663138E-17 -6.499419E-17 -6.072331E-17 6.6633317E-17 0 0 09.5606178E-17 1.6985078E-17 4.4264754E-17 3.9705093E-17 -2.362749E-17 -1.941536E-17 2.0973208E-17 0 0 04.0956602E-17 -3.263448E-18 -2.295697E-17 -2.568668E-18 -5.235428E-18 -7.949833E-18 4.0654177E-18 0 0 05.9859041E-17 2.5442567E-17 1.3526227E-18 -1.31741E-18 -4.576562E-18 -8.889062E-18 3.2586508E-18 0 0 01.3954524E-17 6.9914099E-18 -5.954246E-19 -4.751741E-19 -2.938729E-18 -6.86167E-18 1.9522791E-18 0 0 06.5858675E-18 3.9643096E-18 -2.020712E-18 -6.516015E-19 -4.478186E-18 -7.480893E-18 1.4502112E-18 0 0 05.0950572E-18 4.005905E-18 -4.954448E-18 -1.580031E-18 -6.240156E-18 -9.55728E-18 2.8928811E-18 0 0 00.7495541178 7.7398588E-18 -6.619481E-18 2.1662646E-18 -7.810905E-18 -1.224814E-17 4.169913E-18 0 0 00.0682121948 0.7929803848 1.3212332E-16 -5.339681E-18 -1.188726E-17 -1.948631E-17 9.0433865E-18 0 0 0

0.030234263 0.0545030565 0.8297591923 6.8307643E-19 -1.548019E-17 -3.357033E-17 1.6441971E-17 0 0 00.015373563 0.027749401 0.0481342044 0.8614686235 -1.958235E-17 -8.526723E-17 3.5303889E-17 0 0 0

0.0061718873 0.011152443 0.0193604433 0.0365309612 0.8877433984 2.7350528E-16 6.9941965E-17 0 0 00.0029585381 0.0053499086 0.0092922898 0.0175431502 0.0306133162 0.9088421624 -3.616497E-18 0 0 00.0013588211 0.0023166798 0.0040256266 0.0076035394 0.0132722325 0.024496074 0.9265323202 0 0 00.0238464087 0.0010155393 0.0017652638 0.0033353551 0.005823251 0.010749998 0.0196508323 0.9409025612 0 00.0199164669 0.0200936726 0.0017152634 0.0014290772 0.002495477 0.0046075177 0.0084235222 0.0155653896 0.9525698974 00.0161608788 0.0165804405 0.0166150972 0.0006104614 0.0010661381 0.0019687079 0.0035995625 0.0066519633 0.0122739283 0.96195195310.0130815279 0.0135212585 0.0137108432 0.0139997635 0.001117784 0.0008439449 0.0015431736 0.0028519446 0.0052625375 0.00970095560.0104450212 0.0108269899 0.0110270635 0.011383089 0.0114040147 0.0008352063 0.0006543659 0.0012093929 0.0022317084 0.00411404590.0083819003 0.0087004792 0.0088799509 0.0092019938 0.0092731312 0.0094821855 0.000729158 0.0005153834 0.0009510707 0.0017532912

Page 44: SAGSim Recycle

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Page 44

0.0064432641 0.0066911558 0.0068352696 0.0070943635 0.0071659995 0.0073574045 0.0074780693 0.0002656964 0.0003915566 0.00072184390.027861147 0.0285185903 0.0288794919 0.0297996223 0.0300252574 0.0308167989 0.0313889961 0.0320376687 0.0263193012 0.0217579104

1 1 1 1 1 1 1 1 1 1

11 12 13 14 15 16 17 18 19 200.0027671158 0.0022626339 0.0018018685 0.0017306665 0.0013348107 0.0012147779 0.0010137854 0.0008550215 0.0007057461 0.0005764150.0030130813 0.0025064472 0.0019179817 0.0017243206 0.0013154675 0.0012020248 0.0010078018 0.0008536256 0.0007073549 0.00057883480.0034377505 0.0029152899 0.0022510216 0.002023021 0.0014671105 0.0013401439 0.0011246732 0.0009537932 0.0007916202 0.00064859990.0056052836 0.0049941635 0.0039418682 0.0035878848 0.0026135694 0.002239782 0.0018655419 0.0015821536 0.0013152035 0.00107922240.0016341355 0.0148827913 0.0139161959 0.0132724245 0.0099366562 0.0086314328 0.0068860347 0.005573188 0.0046129607 0.00379099690.0051456992 0.0045010929 0.0264016131 0.0262886656 0.0201594357 0.0177236359 0.0142271672 0.0115509508 0.0092503163 0.00760226480.0127312134 0.0059948867 0.0026290347 0.0293006216 0.0270532432 0.0244400095 0.0198853814 0.0162554616 0.0130043932 0.0103653412

0.022566839 0.0106632887 0.0046885556 0.0045075134 0.0296708828 0.0277180498 0.0229127101 0.0188774622 0.0151598445 0.01210371450.0433438218 0.0205683779 0.0090725721 0.0045974952 0.0019392453 0.0303884417 0.0259147142 0.0216703393 0.0175266686 0.01403615390.0792134366 0.0377237432 0.0166836061 0.0084701013 0.0033959157 0.0020854613 0.0271845606 0.0233176601 0.0190819213 0.01535707770.7495541178 0.0682121948 0.030234263 0.015373563 0.0061718873 0.0029585381 0.0013588211 0.0238464087 0.0199164669 0.0161608788

7.7398588E-18 0.7929803848 0.0545030565 0.027749401 0.011152443 0.0053499086 0.0023166798 0.0010155393 0.0200936726 0.0165804405-6.619481E-18 1.3212332E-16 0.8297591923 0.0481342044 0.0193604433 0.0092922898 0.0040256266 0.0017652638 0.0017152634 0.01661509722.1662646E-18 -5.339681E-18 6.8307643E-19 0.8614686235 0.0365309612 0.0175431502 0.0076035394 0.0033353551 0.0014290772 0.0006104614-7.810905E-18 -1.188726E-17 -1.548019E-17 -1.958235E-17 0.8877433984 0.0306133162 0.0132722325 0.005823251 0.002495477 0.0010661381-1.224814E-17 -1.948631E-17 -3.357033E-17 -8.526723E-17 2.7350528E-16 0.9088421624 0.024496074 0.010749998 0.0046075177 0.00196870794.169913E-18 9.0433865E-18 1.6441971E-17 3.5303889E-17 6.9941965E-17 -3.616497E-18 0.9265323202 0.0196508323 0.0084235222 0.0035995625

0 0 0 0 0 0 0 0.9409025612 0.0155653896 0.00665196330 0 0 0 0 0 0 0 0.9525698974 0.01227392830 0 0 0 0 0 0 0 0 0.96195195310 0 0 0 0 0 0 0 0 00 0 0 0 0 0 0 0 0 00 0 0 0 0 0 0 0 0 00 0 0 0 0 0 0 0 0 00 0 0 0 0 0 0 0 0 0

0.9290124947 0.9682052947 0.9978008293 1.0482285065 1.0598454702 1.0915831247 1.1016276639 1.1085788654 1.1089723132 1.1036177523

Page 45: SAGSim Recycle

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Page 45

21 22 23 24 250 0 0 0 00 0 0 0 00 0 0 0 00 0 0 0 00 0 0 0 00 0 0 0 00 0 0 0 00 0 0 0 00 0 0 0 00 0 0 0 00 0 0 0 00 0 0 0 00 0 0 0 00 0 0 0 00 0 0 0 00 0 0 0 00 0 0 0 00 0 0 0 00 0 0 0 00 0 0 0 0

0.969507936 0 0 0 00 0.9755824486 0 0 00 0 0.980459 0 00 0 0 0.984303 00 0 0 0 1

21 22 23 24 250 0 0 0 00 0 0 0 0

Page 46: SAGSim Recycle

J&T

Page 46

0 0 0 0 00 0 0 0 00 0 0 0 00 0 0 0 00 0 0 0 00 0 0 0 00 0 0 0 00 0 0 0 00 0 0 0 00 0 0 0 00 0 0 0 00 0 0 0 00 0 0 0 00 0 0 0 00 0 0 0 00 0 0 0 00 0 0 0 00 0 0 0 00 0 0 0 0

0.2527629924 0 0 0 00.1066799511 0.2476312302 0 0 00.0435883088 0.1011795228 0.235353 0 00.5969687477 0.6511892471 0.764647 1 0

1 1 1 1 0

21 22 23 24 25 SiE0 0 0 0 0 1 0.2144360 0 0 0 0 2 0.1455430 0 0 0 0 3 0.1378010 0 0 0 0 4 0.1807710 0 0 0 0 5 0.4482530 0 0 0 0 6 0.8299090 0 0 0 0 7 0.923081

Page 47: SAGSim Recycle

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Page 47

0 0 0 0 0 8 0.8883780 0 0 0 0 9 0.8144590 0 0 0 0 10 0.7008650 0 0 0 0 11 0.5765540 0 0 0 0 12 0.4639140 0 0 0 0 13 0.373240 0 0 0 0 14 0.2982330 0 0 0 0 15 0.2381450 0 0 0 0 16 0.1911680 0 0 0 0 17 0.1526130 0 0 0 0 18 0.1218310 0 0 0 0 19 0.0971840 0 0 0 0 20 0.077582 201 0 0 0 0 21 0.061933 21 Formula Too Long !

-1.25315334 1 0 0 0 22 0.049441 220.3888621584 -1.2277107888 1 0 0 23 0.039469 23 0.039217

-0.0014173616 0.3597112595 -1.187108 1 0 24 0.031644 24 -0.002883 35.49906-0.1342914568 -0.1320004707 0.187108 -1 1 25 0 25 0.016836 -10.2573 2.664813

0 0 0 0 1

21 22 23 24 250.0619332374 0.0494412064 0.039469 0.031644 0

21 22 23 24 250 0 0.00000 0.00000 0.000000 0 0.00000 0.00000 0.000000 0 0.00000 0.00000 0.000000 0 0.00000 0.00000 0.000000 0 0.00000 0.00000 0.000000 0 0.00000 0.00000 0.000000 0 0.00000 0.00000 0.000000 0 0.00000 0.00000 0.000000 0 0.00000 0.00000 0.00000

Page 48: SAGSim Recycle

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Page 48

0 0 0.00000 0.00000 0.000000 0 0.00000 0.00000 0.000000 0 0.00000 0.00000 0.000000 0 0.00000 0.00000 0.000000 0 0.00000 0.00000 0.000000 0 0.00000 0.00000 0.000000 0 0.00000 0.00000 0.000000 0 0.00000 0.00000 0.000000 0 0.00000 0.00000 0.000000 0 0.00000 0.00000 0.000000 0 0.00000 0.00000 0.000001 0 0 0 0

1.25315334 1 0 0 01.1496477172 1.2277107888 1 0 00.9153994666 1.0977134726 1.187108 1 0

1 1 1 1 1

5.3182005238 4.3254242614 3.187108 2 1

21 22 23 24 250 0 0 0 00 0 0 0 00 0 0 0 00 0 0 0 00 0 0 0 00 0 0 0 00 0 0 0 00 0 0 0 00 0 0 0 00 0 0 0 00 0 0 0 00 0 0 0 00 0 0 0 00 0 0 0 00 0 0 0 00 0 0 0 0

Page 49: SAGSim Recycle

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0 0 0 0 00 0 0 0 00 0 0 0 00 0 0 0 0

0.969507936 0 0 0 0-1.2149421082 0.9755824486 0 0 00.3770049486 -1.1977330975 0.980459 0 0

-0.0013741433 0.3509279914 -1.16391 0.984303 0-0.1301966331 -0.1287773424 0.183451 -0.984303 1

21 22 23 24 250 0 0 0 00 0 0 0 00 0 0 0 00 0 0 0 00 0 0 0 00 0 0 0 00 0 0 0 00 0 0 0 00 0 0 0 00 0 0 0 00 0 0 0 00 0 0 0 00 0 0 0 00 0 0 0 00 0 0 0 00 0 0 0 00 0 0 0 00 0 0 0 00 0 0 0 00 0 0 0 0

0.969507936 0 0 0 00.0076122958 0.9755824486 0 0 00.0032442038 0.0059870329 0.980459 0 0

Page 50: SAGSim Recycle

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Page 50

0.0013356825 0.0024649678 0.004563 0.984303 00.018299882 0.0159655507 0.014978 0.015697 1

1 1 1 1 1

21 22 23 24 250.0004744209 0.0003846935 0.000314 0.000244 0.001048 10.0004766702 0.000386604 0.000315 0.000246 0.001054 1

0.000534732 0.0004337338 0.000354 0.000276 0.001183 10.0008912796 0.0007237848 0.00059 0.00046 0.001975 10.0031387386 0.0025542625 0.002087 0.001628 0.007001 10.0063009655 0.0051331989 0.0042 0.003278 0.014119 10.0085497098 0.0069687401 0.005706 0.004457 0.019228 1

0.009741227 0.0079371918 0.0065 0.00508 0.021931 10.0112819191 0.0089913278 0.007362 0.005754 0.024866 10.0123764012 0.0098649185 0.007919 0.006188 0.026755 10.0130815279 0.0104450212 0.008382 0.006443 0.027861 10.0135212585 0.0108269899 0.0087 0.006691 0.028519 10.0137108432 0.0110270635 0.00888 0.006835 0.028879 10.0139997635 0.011383089 0.009202 0.007094 0.0298 1

0.001117784 0.0114040147 0.009273 0.007166 0.030025 10.0008439449 0.0008352063 0.009482 0.007357 0.030817 10.0015431736 0.0006543659 0.000729 0.007478 0.031389 10.0028519446 0.0012093929 0.000515 0.000266 0.032038 10.0052625375 0.0022317084 0.000951 0.000392 0.026319 10.0097009556 0.0041140459 0.001753 0.000722 0.021758 1

0.969507936 0.0076122958 0.003244 0.001336 0.0183 10 0.9755824486 0.005987 0.002465 0.015966 10 0 0.980459 0.004563 0.014978 10 0 0 0.984303 0.015697 10 0 0 0 1 1

1.098907733 1.0907040978 1.082906 1.070722 1.471507

Page 51: SAGSim Recycle

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Page 51

Mill Discharge Grate Model

Grate Paramaters Bpf D50, micr m0.4 30480 2

Size Fraction 1 2 3 4 5 6 7 8 9 10 11 12Bottom-Size 203200 101600 76100 50800 25400 19050 12700 9500 6700 4750 3350 2360Classifier Efficiency 1 1 1 1 0.629194 0.542294 0.468014 0.439063 0.419758 0.410014 0.405002 0.402488

Recycle Screen Model

Screen Paramaters Bpf D50, micr m0.1 11430 3

Page 52: SAGSim Recycle

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Size Fraction 1 2 3 4 5 6 7 8 9 10 11 12Bottom-Size 203200 101600 76100 50800 25400 19050 12700 9500 6700 4750 3350 2360Classifier Efficiency 1 1 1 1 1 1 1 0.395439 0.217248 0.143668 0.115566 0.105473

Page 53: SAGSim Recycle

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Page 53

13 14 15 16 17 18 19 20 21 22 23 24 251700 1180 850 600 425 300 212 150 106 75 53 38 0

0.401292 0.400623 0.400323 0.400161 0.400081 0.40004 0.40002 0.40001 0.400005 0.400003 0.400001 0.400001 0.4

Page 54: SAGSim Recycle

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Page 54

13 14 15 16 17 18 19 20 21 22 23 24 251700 1180 850 600 425 300 212 150 106 75 53 38 0

0.10205 0.100686 0.100256 0.10009 0.100032 0.100011 0.100004 0.100001 0.1 0.1 0.1 0.1 0.1

Page 55: SAGSim Recycle

Mill

Page 55

Solution of the Model Equations by Stepwise Time Integration

Last Iteration 0.505Internal Size Distribution

Total Rocks Fines % Fines tons % Retained

Make-up Feed, tons 18.7157 13.5328 5.1829 27.69 1 406400Crushed Pebbles, tons 12.2215 4.8266 7.3948 60.51 2 203200 7.47 5.45Internal Feed, tons 167.9646 140.3318 27.6327 16.45 3 101600 20.86 15.22To the Grate, tons 167.9646 131.0131 36.9514 22.00 4 76100 32.40 23.65Internal Recycle, tons 137.0274 121.9724 15.0550 10.99 5 50800 49.28 35.97Mill Discharge, tons 30.9372 9.0407 21.8964 70.78 6 25400 7.58 5.53 Actual 30.9372 9.0407 21.8964 70.78 7 19050 1.36 1.00To the Crusher, tons 12.2215 9.0407 3.1808 26.03 8 12700 3.01 2.20SAG Product, tons 18.7157 0.0000 18.7157 100.00 9 9500 1.69 1.23

10 6700 1.48 1.08Net Feedrate, ton/hr 2223 1608 616 11 4750 1.26 0.92Pebbles Feedrate, ton/hr 1452 573 879 12 3350 1.03 0.75Actual Discharge, ton/hr 3675 1074 2601 13 2360 0.95 0.70

14 1700 0.80 0.59Internal Recycle Ratio 7.322 15 1180 0.91 0.67Pebbles Recycle Ratio 0.653 16 850 0.80 0.59

17 600 0.80 0.58kWh/ton 4.49 18 425 0.72 0.52

19 300 0.64 0.4720 212 0.57 0.4121 150 0.49 0.3622 106 0.43 0.3123 75 0.37 0.2724 53 0.32 0.2325 38 0.26 0.19

1.55 1.13Total 137.03 100.00

D(Time), min

Page 56: SAGSim Recycle

Mill

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Internal Size Distribution Product Size Distribution Mill Discharge Recycled Pebbles% Passing tons % Retained % Passing tons % Retained % Passing tons % Retained % Passing

100.00 100.00 100.00 100.0094.55 0.00 0.00 100.00 0.00 0.00 100.00 0.00 0.00 100.0079.32 0.00 0.00 100.00 0.00 0.00 100.00 0.00 0.00 100.0055.68 0.00 0.00 100.00 0.00 0.00 100.00 0.00 0.00 100.0019.71 0.00 0.00 100.00 0.00 0.00 100.00 0.00 0.00 100.0014.18 0.00 0.00 100.00 4.47 14.43 85.57 4.47 36.54 63.4613.18 0.00 0.00 100.00 1.15 3.72 81.84 1.15 9.43 54.0410.99 0.00 0.00 100.00 3.42 11.07 70.78 3.42 28.01 26.03

9.76 1.30 6.96 93.04 2.15 6.97 63.81 0.85 6.97 19.058.67 1.60 8.57 84.47 2.05 6.62 57.19 0.45 3.64 15.417.76 1.55 8.28 76.19 1.81 5.85 51.34 0.26 2.13 13.287.00 1.34 7.17 69.02 1.52 4.90 46.44 0.18 1.43 11.856.31 1.27 6.77 62.25 1.42 4.58 41.85 0.15 1.22 10.635.72 1.08 5.75 56.50 1.20 3.87 37.98 0.12 1.00 9.635.05 1.23 6.55 49.95 1.36 4.41 33.57 0.14 1.12 8.504.47 1.08 5.78 44.17 1.20 3.88 29.69 0.12 0.99 7.523.89 1.08 5.75 38.42 1.20 3.86 25.83 0.12 0.98 6.543.36 0.97 5.18 33.25 1.08 3.48 22.35 0.11 0.88 5.662.89 0.87 4.65 28.60 0.97 3.13 19.22 0.10 0.79 4.872.48 0.76 4.08 24.52 0.85 2.74 16.48 0.08 0.69 4.172.12 0.66 3.52 21.00 0.73 2.36 14.12 0.07 0.60 3.571.81 0.57 3.07 17.93 0.64 2.06 12.05 0.06 0.52 3.051.55 0.49 2.64 15.29 0.55 1.77 10.28 0.05 0.45 2.601.32 0.43 2.27 13.02 0.47 1.53 8.75 0.05 0.39 2.221.13 0.35 1.87 11.15 0.39 1.26 7.49 0.04 0.32 1.90

2.09 11.15 2.32 7.49 0.23 1.9018.72 100.00 30.94 100.00 12.22 100.00

Page 57: SAGSim Recycle

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Matrix Z = {TJT(inv)} (transpose)1 2 3 4 5 6 7 8 9

1 0.8983298826 0.0495270597 0.0060425471 0.0036650808 0.002054761 0.00563357864 0.0064902079 0.00408845014 0.00409993282 0 0.9298130714 0.0209377205 0.0127031648 0.0058703793 0.0007641596 0.0007315411 0.00403811492 0.00425384343 -1.977074E-16 -1.090008E-17 0.933419514 0.0240545038 0.0111146447 0.00144820822 0.0009509183 0.0005756864 0.00466337994 4.409157E-17 2.430873E-18 -3.830069E-16 0.9135789693 0.0372998437 0.00487383073 0.0032043536 0.00112873003 0.00069125455 -2.583917E-17 -1.424575E-18 -6.159472E-17 -3.279442E-17 0.7992141633 0.04780706101 0.0316956246 0.01135032147 0.00701920096 -3.551898E-17 -1.958246E-18 -5.480361E-16 2.598888E-16 1.639652E-16 0.66037047516 0.0964499339 0.0349746539 0.02178670047 -1.009672E-16 -5.566563E-18 -1.043347E-17 4.772293E-17 3.844941E-17 -2.878818E-17 0.6303119209 0.08427820314 0.05297204918 -1.639256E-17 -9.037605E-19 -6.887718E-17 -4.514544E-17 -3.443132E-17 9.5045823E-17 2.123862E-16 0.64134425496 0.09294813689 -1.035517E-16 -5.709051E-18 -1.934303E-17 2.051736E-17 -1.726142E-17 -6.316272E-17 1.570788E-16 -3.280983E-17 0.6654913631

10 -1.108736E-16 -6.112726E-18 -1.322911E-18 -5.810668E-17 6.548721E-17 1.3031614E-16 1.525063E-16 1.2775742E-17 6.324801E-1711 -3.952147E-17 -2.178912E-18 2.208424E-17 -5.807506E-17 9.560618E-17 4.0956602E-17 5.985904E-17 1.3954524E-17 6.585867E-1812 -8.128721E-17 -4.481557E-18 -4.072506E-18 -8.43942E-19 1.698508E-17 -3.263448E-18 2.544257E-17 6.9914099E-18 3.96431E-1813 9.307222E-18 5.131292E-19 -8.084834E-17 -3.759743E-17 4.426475E-17 -2.295697E-17 1.352623E-18 -5.954246E-19 -2.020712E-1814 -1.053031E-16 -5.805608E-18 2.184408E-17 -8.663138E-17 3.970509E-17 -2.568668E-18 -1.31741E-18 -4.751741E-19 -6.516015E-1915 1.16497E-17 6.422759E-19 -1.011966E-16 -6.499419E-17 -2.362749E-17 -5.235428E-18 -4.576562E-18 -2.938729E-18 -4.478186E-1816 -1.369607E-16 -7.550971E-18 3.308972E-17 -6.072331E-17 -1.941536E-17 -7.949833E-18 -8.889062E-18 -6.86167E-18 -7.480893E-1817 -5.530303E-17 -3.048987E-18 -2.425507E-17 6.663332E-17 2.097321E-17 4.0654177E-18 3.258651E-18 1.9522791E-18 1.450211E-1818 0 0 0 0 0 0 0 0 019 0 0 0 0 0 0 0 0 020 0 0 0 0 0 0 0 0 021 0 0 0 0 0 0 0 0 022 0 0 0 0 0 0 0 0 023 0 0 0 0 0 0 0 0 024 0 0 0 0 0 0 0 0 025 0 0 0 0 0 0 0 0 0

Page 58: SAGSim Recycle

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10 11 12 13 14 15 16 17 18 190.003340988 0.0027671158 0.0022626339 0.0018018685 0.00173066655 0.0013348107 0.0012147779 0.00101378537 0.00085502148 0.00070574610.003582868 0.0030130813 0.0025064472 0.0019179817 0.00172432064 0.0013154675 0.0012020248 0.00100780175 0.0008536256 0.00070735490.004039365 0.0034377505 0.0029152899 0.0022510216 0.00202302101 0.0014671105 0.0013401439 0.00112467321 0.00095379325 0.00079162020.005757582 0.0056052836 0.0049941635 0.0039418682 0.00358788483 0.0026135694 0.002239782 0.00186554189 0.00158215364 0.0013152035

0.00336762 0.0016341355 0.0148827913 0.0139161959 0.01327242445 0.0099366562 0.0086314328 0.00688603471 0.00557318798 0.00461296070.010536434 0.0051456992 0.0045010929 0.0264016131 0.02628866557 0.0201594357 0.0177236359 0.01422716719 0.01155095079 0.00925031630.025868259 0.0127312134 0.0059948867 0.0026290347 0.02930062158 0.0270532432 0.0244400095 0.01988538143 0.01625546156 0.01300439320.045648823 0.022566839 0.0106632887 0.0046885556 0.00450751337 0.0296708828 0.0277180498 0.02291271012 0.01887746221 0.01515984450.087194541 0.0433438218 0.0205683779 0.0090725721 0.00459749524 0.0019392453 0.0303884417 0.02591471423 0.02167033927 0.01752666860.704383331 0.0792134366 0.0377237432 0.0166836061 0.00847010134 0.0033959157 0.0020854613 0.02718456056 0.02331766008 0.0190819213

5.095057E-18 0.7495541178 0.0682121948 0.030234263 0.01537356296 0.0061718873 0.0029585381 0.00135882108 0.0238464087 0.01991646694.005905E-18 7.739859E-18 0.7929803848 0.0545030565 0.02774940102 0.011152443 0.0053499086 0.00231667977 0.00101553935 0.0200936726-4.95445E-18 -6.619481E-18 1.321233E-16 0.8297591923 0.04813420445 0.0193604433 0.0092922898 0.00402562655 0.00176526382 0.0017152634-1.58003E-18 2.166265E-18 -5.339681E-18 6.830764E-19 0.86146862347 0.0365309612 0.0175431502 0.00760353943 0.00333535507 0.0014290772-6.24016E-18 -7.810905E-18 -1.188726E-17 -1.548019E-17 -1.958235E-17 0.8877433984 0.0306133162 0.01327223249 0.00582325104 0.002495477-9.55728E-18 -1.224814E-17 -1.948631E-17 -3.357033E-17 -8.526723E-17 2.735053E-16 0.9088421624 0.02449607395 0.01074999796 0.00460751772.892881E-18 4.169913E-18 9.043386E-18 1.644197E-17 3.5303889E-17 6.994196E-17 -3.616497E-18 0.92653232016 0.01965083235 0.0084235222

0 0 0 0 0 0 0 0 0.9409025612 0.01556538960 0 0 0 0 0 0 0 0 0.95256989740 0 0 0 0 0 0 0 0 00 0 0 0 0 0 0 0 0 00 0 0 0 0 0 0 0 0 00 0 0 0 0 0 0 0 0 00 0 0 0 0 0 0 0 0 00 0 0 0 0 0 0 0 0 0

Page 59: SAGSim Recycle

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20 21 22 23 24 250.000576415 0.0004744209 0.0003846935 0.0003136071 0.0002442408 0.001047708

0.0005788348 0.0004766702 0.000386604 0.0003152386 0.000245565 0.00105411830.0006485999 0.000534732 0.0004337338 0.0003536948 0.0002755397 0.00118305540.0010792224 0.0008912796 0.0007237848 0.0005903494 0.0004599465 0.00197540250.0037909969 0.0031387386 0.0025542625 0.0020874105 0.0016280035 0.00700077680.0076022648 0.0063009655 0.0051331989 0.0041995377 0.0032781605 0.01411909840.0103653412 0.0085497098 0.0069687401 0.0057059401 0.0044574715 0.019228120.0121037145 0.009741227 0.0079371918 0.0065003216 0.0050797365 0.02193144770.0140361539 0.0112819191 0.0089913278 0.0073623445 0.0057544828 0.02486619140.0153570777 0.0123764012 0.0098649185 0.0079185645 0.0061883376 0.02675496370.0161608788 0.0130815279 0.0104450212 0.0083819003 0.0064432641 0.0278611470.0165804405 0.0135212585 0.0108269899 0.0087004792 0.0066911558 0.02851859030.0166150972 0.0137108432 0.0110270635 0.0088799509 0.0068352696 0.02887949190.0006104614 0.0139997635 0.011383089 0.0092019938 0.0070943635 0.02979962230.0010661381 0.001117784 0.0114040147 0.0092731312 0.0071659995 0.03002525740.0019687079 0.0008439449 0.0008352063 0.0094821855 0.0073574045 0.03081679890.0035995625 0.0015431736 0.0006543659 0.000729158 0.0074780693 0.03138899610.0066519633 0.0028519446 0.0012093929 0.0005153834 0.0002656964 0.03203766870.0122739283 0.0052625375 0.0022317084 0.0009510707 0.0003915566 0.02631930120.9619519531 0.0097009556 0.0041140459 0.0017532912 0.0007218439 0.0217579104

0 0.969507936 0.0076122958 0.0032442038 0.0013356825 0.0182998820 0 0.9755824486 0.0059870329 0.0024649678 0.01596555070 0 0 0.980459031 0.004562721 0.01497824790 0 0 0 0.9843025927 0.01569740730 0 0 0 0 1

Page 60: SAGSim Recycle

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1 2 3 4 5 6 7 8 9Mesh Opening 406400 203200 101600 76100 50800 25400 19050 12700 9500Rock or Fines 1 1 1 1 1 1 1 0 0Fresh Feed, °/1 0.0451998646 0.0604357413 0.0942643941 0.1829103901 0.2336450763 0.05455667304 0.0520589987 0.02676077013 0.0257616009Crushed Pebbles 0 0 0 0 0 0 0.3949314779 0.16263548685 0.1118934255

Iteration 1 Cummulative Energy, KWH/ton 0.5 Cummulative Time, min 0.58356982351 2 3 4 5 6 7 8 9

Initial Charge, tons 8.7722763204 11.729217062 18.294597119 35.498789629 45.345250246 10.5882222352 10.103479859 5.1936631316 4.9997468773To the Grate, tons 7.8803979567 11.340444394 17.375123914 33.052164376 37.854883371 9.41786427375 9.0234848055 5.20126115635 5.0899149075Internal Recycle, tons 7.8803979567 11.340444394 17.375123914 33.052164376 23.818056498 5.10725355749 4.2231173041 2.28368114781 2.1365348763Mill Discharge, tons 0 0 0 0 14.036826873 4.31061071626 4.8003675014 2.91758000854 2.9533800312 Actual 0 0 0 0 14.036826873 4.31061071626 4.8003675014 2.91758000854 2.9533800312To the Crusher, tons 0 0 0 0 14.036826873 4.31061071626 4.8003675014 1.15372483406 0.641615416SAG Product, tons 0 0 0 0 0 0 0 1.76385517448 2.3117646151

Iteration 2 Cummulative Energy, KWH/ton 1 Cummulative Time, min 1.17087349111 2 3 4 5 6 7 8 9

Make-up Feed, tons 1.6408293464 2.1939167055 3.42195238 6.6399476778 8.481700143 1.98049686703 1.8898271836 0.9714599233 0.9351884392Crushed Pebbles, tons 0 0 0 0 0 0 11.286604166 4.64790087914 3.1977618212Internal Feed, tons 9.521227303 13.534361099 20.797076294 39.692112054 32.299756641 7.08775042452 17.399548654 7.90304195025 6.2694851368To the Grate, tons 8.5532030049 13.055984255 19.753307982 36.968967458 27.625100348 6.51224967922 12.893176526 7.29983212802 6.4307196213Internal Recycle, tons 8.5532030049 13.055984255 19.753307982 36.968967458 17.381540828 3.53155549653 6.0341872419 3.20508594201 2.6993490069Mill Discharge, tons 0 0 0 0 10.24355952 2.9806941827 6.8589892838 4.09474618601 3.7313706144 Actual 0 0 0 0 10.24355952 2.9806941827 6.8589892838 4.09474618601 3.7313706144To the Crusher, tons 0 0 0 0 10.24355952 2.9806941827 6.8589892838 1.61922221503 0.8106321854SAG Product, tons 0 0 0 0 0 0 0 2.47552397098 2.920738429

Iteration 3 Cummulative Energy, KWH/ton 1.5 Cummulative Time, min 1.75443666641 2 3 4 5 6 7 8 9

Make-up Feed, tons 1.5476122515 2.0692781852 3.2275479708 6.2627258575 7.999846592 1.86798293327 1.7824642819 0.91627034978 0.8820594836Crushed Pebbles, tons 0 0 0 0 0 0 10.295628131 4.2398101621 2.9169948797Internal Feed, tons 10.100815256 15.12526244 22.980855952 43.231693316 25.38138742 5.39953842979 18.112279654 8.36116645389 6.4984033702To the Grate, tons 9.073864183 14.563930405 21.828502565 40.277517914 22.262669551 5.09155216709 12.978653524 7.5301912524 6.599831639Internal Recycle, tons 9.073864183 14.563930405 21.828502565 40.277517914 14.007532819 2.76111941759 6.0741916748 3.3062281023 2.7703352082

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10 11 12 13 14 15 16 17 18 196700 4750 3350 2360 1700 1180 850 600 425 300

0 0 0 0 0 0 0 0 0 00.021292603 0.0190334209 0.0172576888 0.0148339747 0.01519764209 0.0125691511 0.0122881216 0.01114681354 0.0102835283 0.00933054980.067107164 0.0467129921 0.0351237138 0.0263359109 0.02418326548 0.0182385419 0.0164833723 0.01389713178 0.01198238196 0.0102022544

10 11 12 13 14 15 16 17 18 194.132415038 3.6939585754 3.3493289521 2.8789405901 2.94952024954 2.4393893202 2.3848478072 2.16334560719 1.99580137296 1.81084969684.459084704 4.008779038 4.2849931713 3.9782730527 4.28663725457 3.6511417978 3.6087494405 3.2742208349 2.99974991199 2.7007357107

1.82828558 1.6235627869 1.7246565236 1.5964494085 1.71732489278 1.4616370509 1.44408115 1.30995300787 1.20002079278 1.08034860942.630799124 2.3852162511 2.5603366477 2.3818236442 2.5693123618 2.1895047469 2.1646682905 1.96426782703 1.79972911921 1.62038710122.630799124 2.3852162511 2.5603366477 2.3818236442 2.5693123618 2.1895047469 2.1646682905 1.96426782703 1.79972911921 1.62038710120.377961436 0.2756508688 0.2700471515 0.2430643716 0.25869375765 0.219512011 0.2166621102 0.19648976186 0.17999320768 0.16204515872.252837688 2.1095653823 2.2902894962 2.1387592726 2.31061860414 1.9699927359 1.9480061802 1.76777806518 1.61973591153 1.4583419426

10 11 12 13 14 15 16 17 18 190.772956484 0.6909444497 0.6264824584 0.5384976526 0.55169937726 0.4562808372 0.4460790023 0.40464764548 0.3733089728 0.33871428761.917831432 1.3349937419 1.003787939 0.752644493 0.69112481566 0.5212327068 0.4710723485 0.39716111342 0.34244016934 0.29156654694.519073497 3.6495009785 3.3549269211 2.8875915541 2.9601490857 2.4391505949 2.3612325008 2.11176176678 1.91576993492 1.7106294445.116978168 4.215438103 4.2242797388 3.7872802307 4.29013499963 3.750630209 3.7214342899 3.35007593017 3.02651810015 2.6850662352.098030878 1.7072600833 1.7002201212 1.5198055046 1.71872616942 1.5014645777 1.4891732435 1.34030117777 1.21072914625 1.0740805043.018947289 2.5081780196 2.5240596176 2.2674747261 2.57140883021 2.2491656313 2.2322610464 2.00977475239 1.8157889539 1.6109857313.018947289 2.5081780196 2.5240596176 2.2674747261 2.57140883021 2.2491656313 2.2322610464 2.00977475239 1.8157889539 1.6109857310.433725875 0.2898611184 0.2662208935 0.2313950996 0.25890484265 0.2254934005 0.2234274836 0.20104191345 0.18159937225 0.16110498422.585221415 2.2183169012 2.2578387241 2.0360796265 2.31250398756 2.0236722308 2.0088335629 1.80873283894 1.63418958164 1.4498807468

10 11 12 13 14 15 16 17 18 190.729044082 0.6516912303 0.5908913868 0.5079050825 0.52035680448 0.4303590836 0.4207368247 0.38165922317 0.35210093065 0.31947160281.749443761 1.2177798496 0.9156542739 0.6865614936 0.63044331042 0.4754679122 0.4297116875 0.36228993872 0.31237355263 0.26596668924.576518722 3.5767311632 3.2067657819 2.7142720807 2.86952628432 2.4072915735 2.3396217556 2.08425033966 1.87520362953 1.6595187965.212502726 4.2085305302 4.0366395135 3.5223634929 4.1076404377 3.6596360079 3.6576378259 3.29355992562 2.96290974995 2.6121940842.137197251 1.7044625038 1.6246972614 1.4134965198 1.6456146754 1.4650374809 1.4636443802 1.31769020745 1.18528324407 1.0449301778

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20 21 22 23 24 25 Total Rocks Fines212 150 106 75 53 38

0 0 0 0 0 00.0084403224 0.0076694083 0.0069021046 0.0062427028 0.0053915107 0.0465269478 1.0000 0.7231 0.27690.0086927741 0.0074622722 0.0063608799 0.0054616043 0.0044907412 0.027804609 1.0000 0.3949 0.6051

20 21 22 23 24 251.6380766044 1.4884595223 1.3395431448 1.2115681008 1.0463708791 9.0298333128 194.0775 140.3318 53.74572.4068500871 2.1613819923 1.9118180441 1.6999244768 1.441890893 10.967721687 194.0775 125.9444 68.1331

0.962764272 0.8645636661 0.7647320307 0.6799719279 0.5767572891 4.3870886748 130.4390 102.7966 27.64241.4440858151 1.2968183262 1.1470860134 1.0199525489 0.865133604 6.5806330122 63.6385 23.1478 40.49071.4440858151 1.2968183262 1.1470860134 1.0199525489 0.865133604 6.5806330122 63.6385 23.1478 40.49070.1444106172 0.1296824777 0.1147088035 0.1019953183 0.0865133802 0.6580633012 28.5786 23.1478 5.43081.2996751979 1.1671358485 1.0323772099 0.9179572306 0.7786202237 5.922569711 35.0599 0.0000 35.0599

20 21 22 23 24 250.3063975718 0.278412122 0.2505577369 0.2266203688 0.1957206981 1.6890046496 36.3016 26.2487 10.05300.2484276532 0.2132615837 0.1817852904 0.1560852177 0.1283392707 0.7946178844 28.5786 11.2866 17.2920

1.517589497 1.3562373718 1.197075058 1.0626775144 0.9008172579 6.8707112087 195.3193 140.3318 54.98742.3522152175 2.0820998792 1.8121589411 1.5857862674 1.3231074437 8.9035089864 195.3193 125.3620 69.9573

0.940909774 0.8328504222 0.7248681386 0.6343165006 0.5292438326 3.5614035946 133.7666 105.2787 28.48781.4113054435 1.2492494571 1.0872908025 0.9514697668 0.7938636111 5.3421053919 61.5527 20.0832 41.46941.4113054435 1.2492494571 1.0872908025 0.9514697668 0.7938636111 5.3421053919 61.5527 20.0832 41.46940.1411325338 0.1249255672 0.1087292718 0.0951470358 0.0793863793 0.5342105392 26.0694 20.0832 5.98621.2701729097 1.1243238899 0.9785615307 0.8563227309 0.7144772318 4.8078948527 35.4833 0.0000 35.4833

Deficit -0.8184

20 21 22 23 24 250.2889908308 0.2625952613 0.2363233107 0.2137458475 0.1846016168 1.5930506693 34.2393 24.7575 9.48190.2266154369 0.1945369863 0.1658243456 0.142380767 0.1170709441 0.7248495759 26.0694 10.2956 15.77381.4565160417 1.2899826698 1.1270157949 0.9904431151 0.8309163935 5.8793038398 194.0753 140.3318 53.74342.2702827571 1.9970450796 1.7264231113 1.5005590863 1.2428988486 7.857743897 194.0753 126.0767 67.99860.9081359648 0.7988280746 0.6905735909 0.600225521 0.4971603427 3.1430975588 136.3033 108.5867 27.7166

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Mill Discharge, tons 0 0 0 0 8.2551367325 2.33043274949 6.9044618497 4.2239631501 3.8294964309 Actual 0 0 0 0 8.2551367325 2.33043274949 6.9044618497 4.2239631501 3.8294964309To the Crusher, tons 0 0 0 0 8.2551367325 2.33043274949 6.9044618497 1.67031963824 0.8319498066SAG Product, tons 0 0 0 0 0 0 0 2.55364351186 2.9975466243

Iteration 4 Cummulative Energy, KWH/ton 2 Cummulative Time, min 2.32824056311 2 3 4 5 6 7 8 9

Make-up Feed, tons 1.4065229642 1.8806308131 2.9333060232 5.6917795324 7.2705342897 1.69768680096 1.6199645246 0.83273784317 0.8016458375Crushed Pebbles, tons 0 0 0 0 0 0 9.2447485435 3.80705075236 2.6192558456Internal Feed, tons 10.480387147 16.444561218 24.761808588 45.969297446 21.278067109 4.45880621856 16.938904743 7.94601669783 6.1912368913To the Grate, tons 9.414844955 15.809430733 23.520795198 42.839525837 19.113669417 4.29322101759 12.032164884 7.09656625115 6.2627399996Internal Recycle, tons 9.414844955 15.809430733 23.520795198 42.839525837 12.026201576 2.32818903287 5.6312217312 3.11583942332 2.6288381385Mill Discharge, tons 0 0 0 0 7.087467841 1.96503198472 6.4009431528 3.98072682783 3.6339018611 Actual 0 0 0 0 7.087467841 1.96503198472 6.4009431528 3.98072682783 3.6339018611To the Crusher, tons 0 0 0 0 7.087467841 1.96503198472 6.4009431528 1.57413451745 0.7894573098SAG Product, tons 0 0 0 0 0 0 0 2.40659231038 2.8444445512

Iteration 5 Cummulative Energy, KWH/ton 2.5 Cummulative Time, min 2.89022228181 2 3 4 5 6 7 8 9

Make-up Feed, tons 1.2789897343 1.7101089461 2.6673352563 5.1756905341 6.6112953404 1.54375296084 1.4730779729 0.75723125742 0.7289584478Crushed Pebbles, tons 0 0 0 0 0 0 8.3013726607 3.41856210419 2.3519751528Internal Feed, tons 10.693834689 17.519539679 26.188130455 48.015216371 18.637496917 3.8719419937 15.405672365 7.29163278493 5.7097717391To the Grate, tons 9.6065912605 16.819531186 24.875949227 44.757381736 17.102202952 3.79349631251 10.935536574 6.50551008498 5.7824799872Internal Recycle, tons 9.6065912605 16.819531186 24.875949227 44.757381736 10.760599423 2.05719120325 5.1179843189 2.85632855021 2.4272449322Mill Discharge, tons 0 0 0 0 6.3416035293 1.73630510925 5.8175522553 3.64918153477 3.355235055 Actual 0 0 0 0 6.3416035293 1.73630510925 5.8175522553 3.64918153477 3.355235055To the Crusher, tons 0 0 0 0 6.3416035293 1.73630510925 5.8175522553 1.44302858819 0.7289175497SAG Product, tons 0 0 0 0 0 0 0 2.20615294659 2.6263175053

Iteration 6 Cummulative Energy, KWH/ton 3 Cummulative Time, min 3.44081613751 2 3 4 5 6 7 8 9

Make-up Feed, tons 1.1763949134 1.5729316754 2.4533735838 4.7605198499 6.0809668767 1.41992002131 1.354914264 0.69648956177 0.6704846701Crushed Pebbles, tons 0 0 0 0 0 0 7.5175829292 3.09579212587 2.1299089899Internal Feed, tons 10.782986174 18.392462862 27.329322811 49.517901586 16.8415663 3.47711122456 13.990481512 6.64861023784 5.2276385922To the Grate, tons 9.6866787032 17.635601983 25.959976166 46.169069796 15.740911213 3.45704937737 9.9556378714 5.94589061747 5.3161225227Internal Recycle, tons 9.6866787032 17.635601983 25.959976166 46.169069796 9.904083152 1.87473796795 4.659377998 2.61062036723 2.231487438

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3.075305475 2.5040680264 2.4119422521 2.1088669731 2.4620257623 2.194598527 2.1939934457 1.97586971818 1.77762650588 1.56726390623.075305475 2.5040680264 2.4119422521 2.1088669731 2.4620257623 2.194598527 2.1939934457 1.97586971818 1.77762650588 1.56726390620.441822738 0.2893861413 0.2543955051 0.2152092271 0.24789150022 0.2200226954 0.2195972713 0.19765032295 0.17778269709 0.15673262782.633482737 2.2146818852 2.157546747 1.893657746 2.21413426209 1.9745758316 1.9743961745 1.77821939522 1.59984380879 1.4105312785

10 11 12 13 14 15 16 17 18 190.662580206 0.5922792871 0.5370223091 0.4616015165 0.47291806741 0.3911250595 0.3823800214 0.34686496011 0.32000137256 0.2903467231.570877217 1.0934804898 0.8221930131 0.6164838403 0.56609366634 0.4269366797 0.3858508142 0.32531083493 0.28048943775 0.23881934464.370654673 3.3902222807 2.9839125836 2.4915818766 2.68462640915 2.28309922 2.2318752158 1.98986600248 1.78577405439 1.57409624544.996628548 4.0297508434 3.7793805662 3.244621579 3.8263421551 3.441598431 3.45738072 3.11953330842 2.80472370664 2.46670736152.048685892 1.6320564061 1.5211537308 1.3020408936 1.53292015186 1.3777519635 1.3835092762 1.248065493 1.12200245511 0.98673256232.947942656 2.3976944372 2.2582268355 1.9425806854 2.29342200324 2.0638464675 2.0738714439 1.87146781542 1.68272125153 1.47997479922.947942656 2.3976944372 2.2582268355 1.9425806854 2.29342200324 2.0638464675 2.0738714439 1.87146781542 1.68272125153 1.47997479920.423524787 0.2770929279 0.2381826331 0.1982397625 0.23091546389 0.2069139558 0.2075742345 0.1872067853 0.1682911014 0.14800336972.524417869 2.1206015093 2.0200442024 1.7443409229 2.06250653935 1.8569325117 1.8662972093 1.68426103011 1.51443015013 1.3319714295

10 11 12 13 14 15 16 17 18 190.602502272 0.538575727 0.4883290482 0.4197468623 0.430037311 0.3556606956 0.3477085937 0.31541377884 0.29098598521 0.26402020271.410577813 0.9818968034 0.7382927257 0.5535750457 0.50832691263 0.3833701332 0.346476855 0.29211464851 0.25186702907 0.21444914044.061765976 3.1525289365 2.7477755047 2.2753628016 2.47128437548 2.1167827923 2.0776947249 1.85559392035 1.6648554694 1.46520190544.674567178 3.7848289085 3.5138026161 2.9900155604 3.53121050844 3.1860636604 3.2084115418 2.89961058938 2.60797509498 2.29161427141.916636335 1.5328625779 1.4142619048 1.1998695187 1.41468366639 1.2754554466 1.2838814957 1.16007862778 1.04329508554 0.91669180432.757930843 2.2519663305 2.0995407113 1.7901460417 2.11652684205 1.9106082137 1.9245300462 1.7395319616 1.56468000944 1.37492246712.757930843 2.2519663305 2.0995407113 1.7901460417 2.11652684205 1.9106082137 1.9245300462 1.7395319616 1.56468000944 1.37492246710.396226185 0.2602516544 0.2214454842 0.1826838539 0.21310459954 0.1915508298 0.1926266222 0.17400896974 0.15648564602 0.13749771842.361704657 1.9917146761 1.8780952271 1.6074621878 1.90342224251 1.7190573839 1.731903424 1.56552299186 1.40819436341 1.2374247487

10 11 12 13 14 15 16 17 18 190.554172241 0.4953735974 0.4491574819 0.3860766513 0.39554164642 0.3271311896 0.3198169696 0.29011269998 0.26764439441 0.24284168611.277395452 0.8891891677 0.6685854278 0.5013082154 0.46033226998 0.3471735202 0.3137635903 0.26453409391 0.22808652925 0.1942015213.748204029 2.9174253431 2.5320048145 2.0872543854 2.27055758279 1.9497601564 1.9174620556 1.71472542167 1.53902600921 1.35373501134.352177073 3.5405986644 3.2742932727 2.7736319964 3.26554110874 2.9446578757 2.9663904923 2.6830260694 2.41410633127 2.12054429911.784451992 1.4339488858 1.3178623693 1.1130365115 1.30825043067 1.1788150917 1.187034086 1.07342731203 0.96573977115 0.8482603743

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1.3621467923 1.198217005 1.0358495205 0.9003335653 0.7457385059 4.7146463382 57.7720 17.4900 40.28201.3621467923 1.198217005 1.0358495205 0.9003335653 0.7457385059 4.7146463382 57.7720 17.4900 40.28200.1362165994 0.1198222966 0.1035851346 0.0900334125 0.0745738677 0.4714646338 23.4085 17.4900 5.91851.2259301929 1.0783947084 0.9322643859 0.8103001527 0.6711646382 4.2431817044 34.3635 0.0000 34.3635

Deficit 0.1242

20 21 22 23 24 250.2626447546 0.2386555579 0.2147787103 0.1942595393 0.1677722653 1.4478189529 31.1179 22.5004 8.61740.2034846931 0.174680505 0.1488985769 0.1278478954 0.105121458 0.6508638401 23.4085 9.2447 14.16371.3742654124 1.2121641375 1.0542508781 0.9223329557 0.7700540661 5.2417803519 190.8296 140.3318 50.49782.1360364306 1.8739317047 1.6155513714 1.4003765234 1.1563877604 7.0977331185 190.8296 127.0237 63.80600.8544360823 0.7495821055 0.6462246158 0.5601523699 0.4625558515 2.8390932474 137.5818 111.5702 26.01161.2816003483 1.1243495992 0.9693267556 0.8402241535 0.6938319089 4.2586398711 53.2478 15.4534 37.79431.2816003483 1.1243495992 0.9693267556 0.8402241535 0.6938319089 4.2586398711 53.2478 15.4534 37.79430.1281618414 0.1124355192 0.0969328464 0.0840224676 0.0693832068 0.4258639871 21.0198 15.4534 5.56631.1534385069 1.01191408 0.8723939093 0.7562016859 0.6244487021 3.832775884 32.2280 0.0000 32.2280

Deficit 1.1102

20 21 22 23 24 250.2388300464 0.2170160149 0.1953041455 0.176645503 0.1525599016 1.3165413044 28.2963 20.4603 7.83610.1827201962 0.1568553176 0.1337042938 0.1148017189 0.0943943898 0.5844467551 21.0198 8.3014 12.7184

1.275986325 1.123453438 0.9752330551 0.8515995919 0.7095101429 4.7400813069 186.8979 140.3318 46.56611.9810042546 1.7357538992 1.494613776 1.2940428057 1.0671661398 6.4585871343 186.8979 127.8907 59.00730.7924216507 0.6943102884 0.5978492731 0.5176187491 0.4268671456 2.5834348537 138.0490 113.9952 24.05381.1885826039 1.0414436107 0.8967645028 0.7764240565 0.6402989942 3.8751522806 48.8489 13.8955 34.95351.1885826039 1.0414436107 0.8967645028 0.7764240565 0.6402989942 3.8751522806 48.8489 13.8955 34.95350.1188599359 0.1041448791 0.0896766083 0.0776424539 0.0640299141 0.3875152281 19.0352 13.8955 5.1397

1.069722668 0.9372987316 0.8070878945 0.6987816026 0.5762690801 3.4876370525 29.8138 0.0000 29.8138Deficit 1.5175

20 21 22 23 24 250.2196721711 0.1996079634 0.1796377228 0.1624757929 0.1403222305 1.210934265 26.0265 18.8190 7.20750.1654683248 0.1420455274 0.1210803511 0.1039624985 0.0854819657 0.5292651142 19.0352 7.5176 11.51761.1775621467 1.0359637792 0.8985673471 0.7840570405 0.6526713418 4.3236342329 183.1107 140.3318 42.77891.8315681718 1.6037098587 1.3800126524 1.1940970309 0.9840940455 5.9153048036 183.1107 128.6049 54.50580.7326457128 0.6414920082 0.5520085352 0.4776403136 0.3936382542 2.3661219214 138.1060 115.8895 22.2165

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Mill Discharge, tons 0 0 0 0 5.8368280615 1.58231140942 5.2962598734 3.33527025024 3.0846350847 Actual 0 0 0 0 5.8368280615 1.58231140942 5.2962598734 3.33527025024 3.0846350847To the Crusher, tons 0 0 0 0 5.8368280615 1.58231140942 5.2962598734 1.3188958331 0.6701302921SAG Product, tons 0 0 0 0 0 0 0 2.01637441714 2.4145047925

Iteration 7 Cummulative Energy, KWH/ton 3.5 Cummulative Time, min 3.98154416741 2 3 4 5 6 7 8 9

Make-up Feed, tons 1.097054314 1.466847111 2.2879086293 4.4394520738 5.6708430723 1.32415515155 1.2635336326 0.64951562579 0.6252646041Crushed Pebbles, tons 0 0 0 0 0 0 6.8925127186 2.83838393306 1.95281182Internal Feed, tons 10.783733017 19.102449094 28.247884795 50.60852187 15.574926224 3.1988931195 12.815424349 6.09851992608 4.8095638621To the Grate, tons 9.6873496148 18.295793451 26.832249853 47.196554913 14.783653404 3.21996053363 9.1528967094 5.474584175 4.9176308218Internal Recycle, tons 9.6873496148 18.295793451 26.832249853 47.196554913 9.3017825094 1.7461660534 4.2836838881 2.40368716293 2.0642171727Mill Discharge, tons 0 0 0 0 5.481870895 1.47379448023 4.8692128213 3.07089701207 2.8534136491 Actual 0 0 0 0 5.481870895 1.47379448023 4.8692128213 3.07089701207 2.8534136491To the Crusher, tons 0 0 0 0 5.481870895 1.47379448023 4.8692128213 1.21435235205 0.619897936SAG Product, tons 0 0 0 0 0 0 0 1.85654466003 2.2335157131

Iteration 8 Cummulative Energy, KWH/ton 4 Cummulative Time, min 4.51419664411 2 3 4 5 6 7 8 9

Make-up Feed, tons 1.0366127607 1.3860320441 2.1618576676 4.1948631091 5.3584113548 1.25120161307 1.1939200006 0.6137309497 0.5908160236Crushed Pebbles, tons 0 0 0 0 0 0 6.4053536365 2.63776848728 1.8147881336Internal Feed, tons 10.723962376 19.681825495 28.994107521 51.391418022 14.660193864 2.99736766648 11.882957525 5.6551865999 4.4698213299To the Grate, tons 9.6336558614 18.831544938 27.540558361 47.93688324 14.093360596 3.04815081136 8.5199758109 5.09764596337 4.5963627724Internal Recycle, tons 9.6336558614 18.831544938 27.540558361 47.93688324 8.8674545801 1.65299463048 3.9874680407 2.23818755391 1.929362189Mill Discharge, tons 0 0 0 0 5.225906016 1.39515618088 4.5325077702 2.85945840946 2.6670005835 Actual 0 0 0 0 5.225906016 1.39515618088 4.5325077702 2.85945840946 2.6670005835To the Crusher, tons 0 0 0 0 5.225906016 1.39515618088 4.5325077702 1.13074128877 0.5794001012SAG Product, tons 0 0 0 0 0 0 0 1.72871712069 2.0876004823

Iteration 9 Cummulative Energy, KWH/ton 4.5 Cummulative Time, min 5.04045014611 2 3 4 5 6 7 8 9

Make-up Feed, tons 0.9908368269 1.3248260532 2.0663918801 4.0096215382 5.1217884875 1.19594961883 1.1411975134 0.58662911531 0.5647260928Crushed Pebbles, tons 0 0 0 0 0 0 6.0306609 2.48346745274 1.7086288222Internal Feed, tons 10.624492688 20.156370992 29.606950241 51.946504778 13.989243068 2.84894424931 11.159326454 5.30828412195 4.2027171039To the Grate, tons 9.5442992688 19.267857103 28.121932566 48.464404119 13.58722477 2.92145536411 8.0303439152 4.80385810151 4.3449403102Internal Recycle, tons 9.5442992688 19.267857103 28.121932566 48.464404119 8.5489970756 1.58428841909 3.758313454 2.10919618404 1.8238254818

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2.56772508 2.1066497786 1.9564309034 1.660595485 1.95729067807 1.765842784 1.7793564063 1.60959875737 1.44836656012 1.27228392482.56772508 2.1066497786 1.9564309034 1.660595485 1.95729067807 1.765842784 1.7793564063 1.60959875737 1.44836656012 1.2722839248

0.368899719 0.2434579428 0.2063512207 0.1694632594 0.19707174879 0.1770371593 0.1780961617 0.16101148335 0.14485298941 0.12723345572.198825361 1.8631918358 1.7500796827 1.4911322256 1.76021892928 1.5888056247 1.6012602447 1.44858727403 1.30351357071 1.1450504691

10 11 12 13 14 15 16 17 18 190.516796733 0.4619636959 0.4188645731 0.3600381564 0.36886479583 0.3050682034 0.2982472826 0.27054638321 0.24959342662 0.22646350841.171182877 0.8152550767 0.6129940445 0.4596255582 0.42205667107 0.3183068183 0.2876748494 0.24253867552 0.20912164437 0.17805409883.472431602 2.7111676584 2.3497209868 1.9327002261 2.09917189758 1.8021901134 1.7729562179 1.58651237076 1.42445484213 1.25277798144.071305116 3.3265686739 3.0735665078 2.5979135529 3.04393329189 2.73817461 2.7559301951 2.49290826882 2.2433855229 1.97023534891.669290657 1.3472663511 1.2370723398 1.0425220944 1.21946927246 1.096155034 1.1028160617 0.99736482349 0.89744457128 0.78813377072.402014459 1.9793023228 1.836494168 1.5553914585 1.82446401944 1.6420195759 1.6531141334 1.49554344533 1.34594095162 1.18210157812.402014459 1.9793023228 1.836494168 1.5553914585 1.82446401944 1.6420195759 1.6531141334 1.49554344533 1.34594095162 1.18210157810.345092419 0.2287408551 0.1937010976 0.1587272208 0.18369796522 0.1646230819 0.1654605457 0.14960229525 0.1346092735 0.1182148621

2.05692204 1.7505614677 1.6427930704 1.3966642378 1.64076605421 1.4773964941 1.4876535877 1.34594115007 1.21133167813 1.063886716

10 11 12 13 14 15 16 17 18 190.488324125 0.4365120816 0.3957874792 0.3402020689 0.34854240986 0.2882606527 0.2818155264 0.25564079155 0.23584222561 0.21398663641.088404303 0.7576332875 0.569667956 0.4271394716 0.39222593316 0.295809064 0.2673421461 0.22539617272 0.19434103931 0.16546933113.246019085 2.5414117203 2.202527775 1.8098636349 1.96023761547 1.6802247507 1.6519737342 1.47840178777 1.3276278362 1.16758973823.842035442 3.1507929047 2.9123006969 2.4591632198 2.86661456012 2.57062104 2.5834098817 2.33603280425 2.10206735235 1.84584241031.575286962 1.2760768455 1.1721648541 0.9868426867 1.14843133434 1.0290794398 1.0337801431 0.93460195653 0.84091161085 0.7383740931

2.26674848 1.8747160592 1.7401358427 1.4723205331 1.71818322578 1.5415416002 1.5496297386 1.40143084772 1.2611557415 1.10746831712.26674848 1.8747160592 1.7401358427 1.4723205331 1.71818322578 1.5415416002 1.5496297386 1.40143084772 1.2611557415 1.1074683171

0.325659037 0.2166541965 0.1835378672 0.1502498583 0.17299697834 0.154549515 0.1551027706 0.14018801802 0.12612979635 0.1107512391.941089443 1.6580618626 1.5565979755 1.3220706748 1.54518624744 1.3869920852 1.394526968 1.2612428297 1.13502594515 0.9967170781

10 11 12 13 14 15 16 17 18 190.466760149 0.417236081 0.3783098423 0.3251790362 0.33315107483 0.2755313086 0.2693707936 0.24435191261 0.22542763443 0.20453716941.024736126 0.7133141592 0.5363441994 0.4021531763 0.36928196838 0.2785051782 0.2517034842 0.21221121627 0.18297270901 0.15578990353.066783237 2.4066270858 2.0868188958 1.7141748992 1.85086437754 1.5831159265 1.5548544208 1.39116508541 1.24931195429 1.09870116613.661155901 3.0114607798 2.785928794 2.3514833036 2.72806191358 2.4386290057 2.4466458181 2.21110707154 1.98924042382 1.74648932371.501123882 1.2196470821 1.121301733 0.9436315908 1.0929239763 0.976239956 0.9790524848 0.88462156499 0.79577629485 0.69863086

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1.098922459 0.9622178505 0.8280041172 0.7164567173 0.5904557913 3.5491828822 45.0047 12.7154 32.28931.098922459 0.9622178505 0.8280041172 0.7164567173 0.5904557913 3.5491828822 45.0047 12.7154 32.28930.109893795 0.0962222637 0.0828005576 0.0716457163 0.0590455927 0.3549182882 17.4524 12.7154 4.7370

0.9890286641 0.8659955867 0.7452035596 0.644811001 0.5314101987 3.1942645939 27.5523 0.0000 27.5523Deficit 1.5257

20 21 22 23 24 250.2048566347 0.1861456343 0.1675222636 0.1515178003 0.1308583593 1.1292641988 24.2712 17.5498 6.72140.1517100036 0.1302347594 0.1110127907 0.0953182492 0.0783743314 0.4852579034 17.4524 6.8925 10.55991.0892123511 0.9578724019 0.8305435894 0.7244763631 0.602870945 3.9806440236 179.8296 140.3318 39.49781.7009731674 1.4886570828 1.2804221776 1.1074516781 0.912308038 5.4652131203 179.8296 129.1685 50.66120.6804063959 0.5954703193 0.5121720945 0.4429820635 0.3649238048 2.1860852481 137.9911 117.3436 20.64751.0205667715 0.8931867635 0.768250083 0.6644696146 0.5473842332 3.2791278722 41.8386 11.8249 30.01371.0205667715 0.8931867635 0.768250083 0.6644696146 0.5473842332 3.2791278722 41.8386 11.8249 30.01370.1020581158 0.0893191207 0.0768251437 0.0664470028 0.0547384359 0.3279127872 16.2189 11.8249 4.39400.9185086557 0.8038676428 0.6914249394 0.5980226118 0.4926457973 2.951215085 25.6197 0.0000 25.6197

Deficit 1.3485

20 21 22 23 24 250.1935701805 0.1758900516 0.1582927243 0.1431700174 0.1236487961 1.0670480611 22.9340 16.5829 6.35110.1409872224 0.1210298368 0.1031664665 0.0885812067 0.0728348759 0.4509601365 16.2189 6.4054 9.81351.0149637989 0.8923902077 0.7736312854 0.6747332877 0.5614074768 3.7040934457 177.1439 140.3318 36.81211.5931458945 1.3937590923 1.198338059 1.0360742681 0.85323046 5.1023711394 177.1439 129.6041 47.53980.6372744009 0.5575106458 0.4793382405 0.4144310098 0.3412927354 2.0409484558 137.8245 118.4506 19.37390.9558714936 0.8362484464 0.7189998185 0.6216432583 0.5119377246 3.0614226837 39.3195 11.1536 28.16590.9558714936 0.8362484464 0.7189998185 0.6216432583 0.5119377246 3.0614226837 39.3195 11.1536 28.16590.0955884968 0.0836252606 0.0719001085 0.0621643645 0.0511937842 0.3061422684 15.2701 11.1536 4.11660.8602829968 0.7526231858 0.64709971 0.5594788938 0.4607439404 2.7552804153 24.0493 0.0000 24.0493

Deficit 1.1154

20 21 22 23 24 250.1850222868 0.1681228972 0.1513026529 0.1368477518 0.1181885709 1.0199281304 21.9212 15.8506 6.0706

0.13273992 0.1139499778 0.0971315576 0.083399489 0.0685742683 0.4245804083 15.2701 6.0307 9.23950.9550366077 0.8395835209 0.7277724509 0.6346782505 0.5280555746 3.4854569945 175.0158 140.3318 34.68401.5071110217 1.3180618061 1.132866701 0.9791366864 0.8061128488 4.8160272269 175.0158 129.9375 45.07830.6028595854 0.5272313507 0.4531495324 0.3916559055 0.3224456605 1.9264108907 137.6598 119.2901 18.3697

Page 69: SAGSim Recycle

Mill

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Mill Discharge, tons 0 0 0 0 5.0382276948 1.33716694503 4.2720304612 2.69466191747 2.5211148284 Actual 0 0 0 0 5.0382276948 1.33716694503 4.2720304612 2.69466191747 2.5211148284To the Crusher, tons 0 0 0 0 5.0382276948 1.33716694503 4.2720304612 1.06557433368 0.5477067368SAG Product, tons 0 0 0 0 0 0 0 1.62908758379 1.9734080916

Iteration 10 Cummulative Energy, KWH/ton 5 Cummulative Time, min 5.56172910951 2 3 4 5 6 7 8 9

Make-up Feed, tons 0.9562368905 1.2785632419 1.9942336541 3.8696059004 4.9429360759 1.15418716146 1.1013469948 0.56614407728 0.5450059064Crushed Pebbles, tons 0 0 0 0 0 0 5.7446305459 2.36567819438 1.6275896599Internal Feed, tons 10.500536159 20.546420344 30.11616622 52.334010019 13.491933151 2.73847558054 10.604290995 5.04101845571 3.9964210481To the Grate, tons 9.4329454147 19.624390887 28.604662428 48.835170246 13.211916318 2.82695601815 7.6552879645 4.57796199139 4.1513049173Internal Recycle, tons 9.4329454147 19.624390887 28.604662428 48.835170246 8.3128553384 1.533041968 3.5827820147 2.01001356803 1.7425453862Mill Discharge, tons 0 0 0 0 4.8990609797 1.29391405015 4.0725059498 2.56794842336 2.4087595311 Actual 0 0 0 0 4.8990609797 1.29391405015 4.0725059498 2.56794842336 2.4087595311To the Crusher, tons 0 0 0 0 4.8990609797 1.29391405015 4.0725059498 1.01546688006 0.5232977918SAG Product, tons 0 0 0 0 0 0 0 1.5524815433 1.8854617393

Iteration 11 Cummulative Energy, KWH/ton 5.5 Cummulative Time, min 6.07918413031 2 3 4 5 6 7 8 9

Make-up Feed, tons 0.9300890524 1.2436015446 1.9397022935 3.7637933872 4.807773865 1.12262646833 1.0712311906 0.55066313963 0.5301029819Crushed Pebbles, tons 0 0 0 0 0 0 5.5271663708 2.27612495803 1.5659769174Internal Feed, tons 10.363034467 20.867992431 30.544364722 52.598963633 13.120629203 2.65566843633 10.181179576 4.83680166569 3.8386252855To the Grate, tons 9.3094235357 19.916582762 29.010253392 49.091107427 12.931412163 2.75590423994 7.3694393548 4.40550103126 4.003472372Internal Recycle, tons 9.3094235357 19.916582762 29.010253392 49.091107427 8.1363638739 1.49451099787 3.4490008607 1.93429234744 1.6804914237Mill Discharge, tons 0 0 0 0 4.7950482895 1.26139324207 3.9204384941 2.47120868382 2.3229809483 Actual 0 0 0 0 4.7950482895 1.26139324207 3.9204384941 2.47120868382 2.3229809483To the Crusher, tons 0 0 0 0 4.7950482895 1.26139324207 3.9204384941 0.97721221708 0.5046625804SAG Product, tons 0 0 0 0 0 0 0 1.49399646674 1.8183183679

Iteration 12 Cummulative Energy, KWH/ton 6 Cummulative Time, min 6.59371847271 2 3 4 5 6 7 8 9

Make-up Feed, tons 0.9103127739 1.2171591192 1.8984588313 3.6837646783 4.7055472294 1.09875630927 1.048453838 0.53895451071 0.518831519Crushed Pebbles, tons 0 0 0 0 0 0 5.3621368408 2.20816466756 1.5192201496Internal Feed, tons 10.21973631 21.133741881 30.908712223 52.774872105 12.841911103 2.59326730714 9.8595915396 4.68141152571 3.7185430923To the Grate, tons 9.1806945188 20.156582938 29.355040762 49.263428565 12.720533268 2.70215247611 7.1520603621 4.27428916044 3.8911280473Internal Recycle, tons 9.1806945188 20.156582938 29.355040762 49.263428565 8.0036801885 1.4653617259 3.3472644468 1.87668207432 1.6333339422

Page 70: SAGSim Recycle

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2.160032019 1.7918136978 1.664627061 1.4078517128 1.63513793728 1.4623890497 1.4675933333 1.32648550655 1.19346412897 1.04785846372.160032019 1.7918136978 1.664627061 1.4078517128 1.63513793728 1.4623890497 1.4675933333 1.32648550655 1.19346412897 1.04785846370.310327305 0.2070734686 0.1755737069 0.143670835 0.16463548129 0.1466139599 0.1468917293 0.13269108097 0.11935987173 0.10479001651.849704714 1.5847402292 1.4890533541 1.2641808778 1.47050245599 1.3157750898 1.320701604 1.19379442558 1.07410425724 0.9430684472

10 11 12 13 14 15 16 17 18 190.450460925 0.4026662331 0.3650992952 0.3138238123 0.32151746807 0.2659097791 0.2599643887 0.23581916493 0.21755572091 0.19739474910.976133553 0.679482129 0.5109057402 0.3830793107 0.35176716297 0.2652958574 0.2397653504 0.20214617525 0.17429443152 0.148400889

2.92771836 2.3017954442 1.9973067685 1.6405347138 1.76620860734 1.5074455924 1.4787822239 1.32258690517 1.18762644727 1.04442649813.52108753 2.9032024811 2.688348465 2.2687887457 2.62127348134 2.3364106891 2.340319264 2.11368892982 1.90108852023 1.6688242684

1.443693938 1.1758022746 1.0820268627 0.9104469208 1.05014208876 0.9353195845 0.9365047338 0.84564643344 0.76051198271 0.66756327572.077393592 1.7274002065 1.6063216023 1.3583418248 1.57113139258 1.4010911046 1.4038145302 1.26804249639 1.14057653752 1.00126099272.077393592 1.7274002065 1.6063216023 1.3583418248 1.57113139258 1.4010911046 1.4038145302 1.26804249639 1.14057653752 1.00126099270.298454814 0.1996294329 0.1694240379 0.1386183662 0.158190919 0.1404684445 0.1405080953 0.12684490613 0.11407051617 0.10013008391.778938777 1.5277707736 1.4368975644 1.2197234587 1.41294047358 1.2606226602 1.2633064349 1.14119759025 1.02650602136 0.9011309088

10 11 12 13 14 15 16 17 18 190.438143288 0.3916555185 0.3551158305 0.305242451 0.31272572746 0.258638604 0.2528557875 0.22937080322 0.21160676429 0.19199708460.939181816 0.6537601928 0.491565298 0.3685777643 0.33845094441 0.2552530279 0.2306889835 0.19449389006 0.16769647984 0.14278314272.821019042 2.2212179859 1.9287079912 1.5842671362 1.70131876063 1.4492112164 1.4200495048 1.26951112672 1.13981522684 1.00234350293.413728966 2.820031333 2.6136374568 2.2056674887 2.53960343345 2.2580184216 2.2585863676 2.03865549592 1.83310070689 1.60889678411.399675462 1.1421178086 1.05195661 0.8851168613 1.01742320029 0.903937335 0.903798408 0.8156269945 0.73331411887 0.64359107652.014053504 1.6779135244 1.5616808468 1.3205506274 1.52218023316 1.3540810865 1.3547879596 1.22302850142 1.09978658802 0.96530570762.014053504 1.6779135244 1.5616808468 1.3205506274 1.52218023316 1.3540810865 1.3547879596 1.22302850142 1.09978658802 0.96530570760.289354876 0.193910435 0.1647156301 0.1347617861 0.15326222307 0.1357553861 0.1356010154 0.12234206338 0.10999106122 0.09653441231.724698628 1.4840030894 1.3969652167 1.1857888414 1.36891801008 1.2183257004 1.2191869442 1.10068643805 0.9897955268 0.8687712953

10 11 12 13 14 15 16 17 18 190.428827143 0.3833278336 0.3475650809 0.2987521481 0.30607630927 0.2531392284 0.2474793706 0.22449374241 0.20710741632 0.18791469290.911139828 0.6342402923 0.476888195 0.3575728097 0.32834551306 0.2476317109 0.2238010971 0.18868671273 0.16268941665 0.13851993922.739642433 2.1596859346 1.8764098859 1.5414418191 1.65184502263 1.4047082743 1.3750788757 1.22880744964 1.10311095185 0.97002570863.331887654 2.7565241126 2.5566978422 2.1576397484 2.47739904259 2.1982170871 2.1961554561 1.98127066185 1.78105741952 1.56300733291.366119407 1.1163972691 1.0290391224 0.8658437102 0.99250269909 0.8799974688 0.8788159857 0.79266842213 0.71249470765 0.625234373

Page 71: SAGSim Recycle

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0.9042514363 0.7908304554 0.6797171686 0.5874807809 0.4836671883 2.8896163361 37.3560 10.6474 26.70860.9042514363 0.7908304554 0.6797171686 0.5874807809 0.4836671883 2.8896163361 37.3560 10.6474 26.70860.0904264183 0.0790834389 0.0679718366 0.0587481146 0.0483667299 0.2889616336 14.5459 10.6474 3.8985

0.813825018 0.7117470164 0.6117453319 0.5287326663 0.4353004584 2.6006547025 22.8101 0.0000 22.8101Deficit 0.8889

20 21 22 23 24 250.1785613245 0.1622520601 0.1460191773 0.1320690401 0.1140614362 0.9843123282 21.1557 15.2971 5.85860.1264441513 0.1085454039 0.0925246705 0.079443905 0.065321835 0.4044428336 14.5459 5.7446 8.80130.9078650612 0.7980288148 0.6916933803 0.6031688507 0.5018289317 3.3151660526 173.3615 140.3318 33.02961.4398853575 1.2589142933 1.0817024718 0.9346292497 0.7692777818 4.5934169109 173.3615 130.1913 43.17010.5759686428 0.5035720481 0.4326837119 0.3738528749 0.3077116099 1.8373667644 137.5172 119.9258 17.59140.8639167147 0.7553422451 0.6490187598 0.5607763748 0.4615661719 2.7560501465 35.8442 10.2655 25.57880.8639167147 0.7553422451 0.6490187598 0.5607763748 0.4615661719 2.7560501465 35.8442 10.2655 25.57880.0863928893 0.0755346003 0.0649019903 0.0560776724 0.0461566278 0.2756050147 13.9953 10.2655 3.72980.7775238254 0.6798076449 0.5841167695 0.5046987025 0.4154095442 2.4804451319 21.8490 0.0000 21.8490

Deficit 0.6932

20 21 22 23 24 250.1736786509 0.1578153556 0.1420263531 0.1284576757 0.110942481 0.9573967807 20.5773 14.8788 5.69840.1216575818 0.1044363952 0.08902213 0.0764365396 0.0628490634 0.3891325667 13.9953 5.5272 8.46810.8713048755 0.7658237989 0.6637321951 0.5787470902 0.4815031544 3.1838961118 172.0897 140.3318 31.75791.3880212931 1.2132790694 1.0422199816 0.9002743567 0.7408402457 4.4220704609 172.0897 130.3841 41.70560.5552224947 0.4853177291 0.4168906165 0.3601108745 0.2963365771 1.7688281844 137.4013 120.4072 16.99400.8327987983 0.7279613403 0.6253293651 0.5401634822 0.4445036686 2.6532422766 34.6884 9.9769 24.71160.8327987983 0.7279613403 0.6253293651 0.5401634822 0.4445036686 2.6532422766 34.6884 9.9769 24.71160.0832810538 0.0727964962 0.0625330467 0.0540163818 0.0444503771 0.2653242277 13.5774 9.9769 3.60050.7495177446 0.6551648441 0.5627963184 0.4861471004 0.4000532916 2.3879180489 21.1111 0.0000 21.1111

Deficit 0.5338

20 21 22 23 24 250.16998576 0.1544597625 0.1390064781 0.1257263085 0.1085835355 0.9370398641 20.1397 14.5625 5.5773

0.1180251431 0.1013181448 0.086364117 0.0741543058 0.060972523 0.377513889 13.5774 5.3621 8.21520.8432333978 0.7410956363 0.6422612115 0.5599914887 0.4658926356 3.0833819374 171.1184 140.3318 30.78661.3483082864 1.1783326859 1.0119808148 0.8739566928 0.7190521396 4.291002675 171.1184 130.5305 40.58790.5393368921 0.471339 0.4047948736 0.3495837758 0.2876213205 1.71640107 137.3103 120.7721 16.5382

Page 72: SAGSim Recycle

Mill

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Mill Discharge, tons 0 0 0 0 4.7168530799 1.23679075021 3.8047959154 2.39760708612 2.2577941051 Actual 0 0 0 0 4.7168530799 1.23679075021 3.8047959154 2.39760708612 2.2577941051To the Crusher, tons 0 0 0 0 4.7168530799 1.23679075021 3.8047959154 0.94810727708 0.4905008799SAG Product, tons 0 0 0 0 0 0 0 1.44949980904 1.7672932252

Iteration 13 Cummulative Energy, KWH/ton 6.5 Cummulative Time, min 7.10602946751 2 3 4 5 6 7 8 9

Make-up Feed, tons 0.8953339715 1.1971312931 1.8672205136 3.6231499262 4.628119488 1.08067675016 1.0312019843 0.5300862477 0.5102943711Crushed Pebbles, tons 0 0 0 0 0 0 5.2369453975 2.15660997398 1.4837504537Internal Feed, tons 10.07602849 21.353714231 31.222261275 52.886578491 12.631799677 2.54603847606 9.6154118286 4.563378296 3.627378767To the Grate, tons 9.0515974903 20.353998679 29.651450924 49.375291081 12.561256893 2.66127616771 6.9868204804 4.17458087878 3.8059354846Internal Recycle, tons 9.0515974903 20.353998679 29.651450924 49.375291081 7.9034644867 1.44319473926 3.2699298672 1.83290386049 1.5975736427Mill Discharge, tons 0 0 0 0 4.6577924065 1.21808142844 3.7168906132 2.34167701829 2.2083618418 Actual 0 0 0 0 4.6577924065 1.21808142844 3.7168906132 2.34167701829 2.2083618418To the Crusher, tons 0 0 0 0 4.6577924065 1.21808142844 3.7168906132 0.92599034866 0.4797618278SAG Product, tons 0 0 0 0 0 0 0 1.41568666963 1.7286000141

Iteration 14 Cummulative Energy, KWH/ton 7 Cummulative Time, min 7.6166501511 2 3 4 5 6 7 8 9

Make-up Feed, tons 0.8839669732 1.1819327305 1.8435146193 3.5771510693 4.5693617191 1.06695667337 1.0181100302 0.52335636846 0.503815766Crushed Pebbles, tons 0 0 0 0 0 0 5.1419113871 2.11747431774 1.4568250715Internal Feed, tons 9.9355644635 21.535931409 31.494965543 52.952442151 12.472826206 2.51015141264 9.4299512844 4.47373454669 3.5582144802To the Grate, tons 8.9254144576 20.516469822 29.908964861 49.443822424 12.440471823 2.63004122492 6.8611144487 4.09879142429 3.7413695595Internal Recycle, tons 8.9254144576 20.516469822 29.908964861 49.443822424 7.827467274 1.42625620968 3.2110976833 1.79962751784 1.570471549Mill Discharge, tons 0 0 0 0 4.6130045491 1.20378501525 3.6500167655 2.29916390645 2.1708980105 Actual 0 0 0 0 4.6130045491 1.20378501525 3.6500167655 2.29916390645 2.1708980105To the Crusher, tons 0 0 0 0 4.6130045491 1.20378501525 3.6500167655 0.90917900749 0.4716228915SAG Product, tons 0 0 0 0 0 0 0 1.38998489896 1.6992751189

Iteration 15 Cummulative Energy, KWH/ton 7.5 Cummulative Time, min 8.12598563111 2 3 4 5 6 7 8 9

Make-up Feed, tons 0.8753205156 1.1703717429 1.8254824174 3.5421614307 4.5246668454 1.05652031557 1.0081514622 0.51823719685 0.4988877293Crushed Pebbles, tons 0 0 0 0 0 0 5.069665008 2.08772276415 1.4363559641Internal Feed, tons 9.8007349732 21.686841565 31.734447278 52.985983855 12.352134119 2.48277652525 9.2889141535 4.40558747884 3.5057152425To the Grate, tons 8.8042930975 20.65011035 30.134846786 49.481648909 12.34853471 2.6060597665 6.7653218793 4.04110589148 3.6924121674Internal Recycle, tons 8.8042930975 20.65011035 30.134846786 49.481648909 7.7696210161 1.41325120289 3.1662654187 1.77429993674 1.5499212692

Page 73: SAGSim Recycle

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1.965768247 1.6401268435 1.5276587198 1.2917960382 1.4848963435 1.3182196183 1.3173394704 1.18860223972 1.06856271187 0.93777295991.965768247 1.6401268435 1.5276587198 1.2917960382 1.4848963435 1.3182196183 1.3173394704 1.18860223972 1.06856271187 0.93777295990.282417833 0.1895435641 0.1611272042 0.1318273891 0.14950825775 0.132160042 0.1318527882 0.11889833342 0.10686832149 0.0937810281.683350414 1.4505832794 1.3665315156 1.1599686491 1.33538808575 1.1860595763 1.1854866822 1.0697039063 0.96169439038 0.8439919319

10 11 12 13 14 15 16 17 18 190.421770979 0.3770203401 0.3418460481 0.2938363109 0.30103995619 0.248973932 0.2434072048 0.22079979512 0.2036995535 0.1848226380.889867168 0.6194324909 0.4657541409 0.3492244483 0.32067953028 0.2418501779 0.2185759446 0.18428138653 0.15889105725 0.1352858722.677757554 2.1128501001 1.8366393114 1.5089044694 1.61422218556 1.3708215787 1.3407991351 1.19774960378 1.07508531841 0.94534288293.269655868 2.7081750669 2.5133922294 2.1211412272 2.43010382134 2.1527121029 2.1486202973 1.93754565276 1.74137987712 1.52801306921.340603526 1.0968158178 1.0116091512 0.8511971433 0.97355515211 0.8617807644 0.8597942642 0.77517488395 0.69662209251 0.61123596361.929052343 1.6113592491 1.5017830782 1.269944084 1.45654866923 1.2909313385 1.2888260331 1.16237076881 1.04475778462 0.91677710561.929052343 1.6113592491 1.5017830782 1.269944084 1.45654866923 1.2909313385 1.2888260331 1.16237076881 1.04475778462 0.91677710560.277142936 0.1862189966 0.1583980149 0.1295974038 0.14665404411 0.1294242155 0.1289988721 0.11627434528 0.10448756032 0.0916813591.651909407 1.4251402525 1.3433850633 1.1403466801 1.30989462511 1.161507123 1.159827161 1.04609642353 0.9402702243 0.8250957466

10 11 12 13 14 15 16 17 18 190.41641625 0.372233758 0.3375060324 0.2901058182 0.29721800729 0.245813004 0.2403169509 0.21799656081 0.20111342077 0.1824761632

0.873718891 0.6081917486 0.457302175 0.3428871281 0.31486021014 0.2374613614 0.2146094819 0.18093726169 0.15600768665 0.13283086092.630738668 2.0772413244 1.8064173586 1.4841900896 1.58563336954 1.3450551297 1.314720697 1.17410870645 1.05374319993 0.92654298763.222366982 2.6714004569 2.4804691681 2.0934007233 2.39415107041 2.1181088174 2.1124679949 1.90427858158 1.71118231741 1.50137608221.321214437 1.081922034 0.998358028 0.8400650992 0.95915165807 0.8479282637 0.8453275191 0.76186536631 0.68454185228 0.6005806331.901152545 1.5894784229 1.4821111401 1.2533356241 1.43499941233 1.2701805537 1.2671404758 1.14241321527 1.02664046513 0.90079544921.901152545 1.5894784229 1.4821111401 1.2533356241 1.43499941233 1.2701805537 1.2671404758 1.14241321527 1.02664046513 0.9007954492

0.27313463 0.1836903081 0.1563231507 0.1279025156 0.14448433586 0.1273438151 0.1268283601 0.11427795004 0.10267562406 0.09008312981.628017915 1.4057881147 1.3257879894 1.1254331085 1.29051507648 1.1428367386 1.1403121157 1.02813526523 0.92396484107 0.8107123195

10 11 12 13 14 15 16 17 18 190.412343106 0.368592781 0.3342047421 0.2872681696 0.29431079133 0.2434086022 0.2379663084 0.21586424357 0.19914624472 0.18069128610.861442712 0.599646356 0.450876855 0.3380693956 0.31043626963 0.2341249127 0.2115941133 0.17839500434 0.15381570207 0.13096452212.595000255 2.050161171 1.7834396251 1.4654026644 1.56389871903 1.3254617787 1.2948879408 1.15612461423 1.03750379907 0.91223644123.186412397 2.6434173134 2.4554202931 2.0722932053 2.36679554111 2.0917795835 2.0849654076 1.87896765371 1.68820326272 1.48110524091.306472566 1.0705888101 0.9882761669 0.8315948197 0.94819240758 0.8373880585 0.8343220535 0.75173894914 0.67534930483 0.5924718887

Page 74: SAGSim Recycle

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0.8089713942 0.7069936859 0.6071859412 0.5243729169 0.431430819 2.574601605 33.8081 9.7584 24.04970.8089713942 0.7069936859 0.6071859412 0.5243729169 0.431430819 2.574601605 33.8081 9.7584 24.04970.0808982798 0.0706997203 0.0607187011 0.0524373243 0.0431430918 0.2574601605 13.2604 9.7584 3.50200.7280731145 0.6362939657 0.5464672401 0.4719355926 0.3882877273 2.3171414445 20.5478 0.0000 20.5478

Deficit 0.4080

20 21 22 23 24 250.167188718 0.151918194 0.1367191867 0.1236575365 0.1067968405 0.921621279 19.8083 14.3228 5.4855

0.1152695741 0.0989526392 0.0843477476 0.0724230026 0.0595489789 0.3686999571 13.2604 5.2369 8.02340.8217951842 0.7222098331 0.6258618079 0.5456643149 0.4539671399 3.0067223062 170.3790 140.3318 30.04711.3180242889 1.1516819189 0.9889174901 0.853881309 0.7024299804 4.1910999798 170.3790 130.6417 39.73730.5272229882 0.4606785591 0.3955694857 0.3415535971 0.2809724461 1.6764399919 137.2402 121.0489 16.19130.7908013007 0.6910033597 0.5933480044 0.5123277119 0.4214575343 2.5146599879 33.1388 9.5928 23.54600.7908013007 0.6910033597 0.5933480044 0.5123277119 0.4214575343 2.5146599879 33.1388 9.5928 23.54600.0790812448 0.0691006797 0.059334905 0.051232803 0.0421457631 0.2514659988 13.0198 9.5928 3.42700.7117200559 0.62190268 0.5340130994 0.4610949089 0.3793117712 2.2631939891 20.1190 0.0000 20.1190

Deficit 0.3107

20 21 22 23 24 250.1650661202 0.149989468 0.1349834246 0.1220876028 0.1054409671 0.9099205418 19.5569 14.1410 5.41590.1131777955 0.0971569614 0.0828171025 0.0711087539 0.0584683531 0.362009218 13.0198 5.1419 7.8778

0.805466904 0.7078249886 0.6133700128 0.5347499538 0.4448817663 2.9483697517 169.8168 140.3318 29.48501.2949727146 1.1313951979 0.9713605001 0.8385975585 0.6897742907 4.1150739024 169.8168 130.7263 39.09050.5180021263 0.4525637687 0.3885466455 0.3354400777 0.2759101621 1.646029561 137.1870 121.2595 15.92750.7769705883 0.6788314292 0.5828138546 0.5031574808 0.4138641287 2.4690443415 32.6298 9.4668 23.16300.7769705883 0.6788314292 0.5828138546 0.5031574808 0.4138641287 2.4690443415 32.6298 9.4668 23.16300.0776981541 0.0678834806 0.0582814882 0.0503157794 0.0413864224 0.2469044341 12.8368 9.4668 3.37000.6992724342 0.6109479486 0.5245323665 0.4528417015 0.3724777063 2.2221399073 19.7930 0.0000 19.7930

Deficit 0.2361

20 21 22 23 24 250.1634515382 0.1485223571 0.1336630942 0.1208934119 0.1044096041 0.9010202213 19.3656 14.0027 5.3629

0.111587592 0.0957918584 0.0816534816 0.070109641 0.057646844 0.3569228108 12.8368 5.0697 7.76720.7930412565 0.6968779843 0.6038632213 0.5264431306 0.4379666102 2.903972593 169.3894 140.3318 29.05761.2774305563 1.1159569918 0.9579993171 0.8269659248 0.6801423983 4.0572283505 169.3894 130.7908 38.59860.5109850864 0.4463884086 0.3832021386 0.3307874096 0.2720573989 1.6228913402 137.1470 121.4200 15.7269

Page 75: SAGSim Recycle

Mill

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Mill Discharge, tons 0 0 0 0 4.5789136943 1.19280856361 3.5990564605 2.26680595474 2.1424908982 Actual 0 0 0 0 4.5789136943 1.19280856361 3.5990564605 2.26680595474 2.1424908982To the Crusher, tons 0 0 0 0 4.5789136943 1.19280856361 3.5990564605 0.89638341239 0.4654515079SAG Product, tons 0 0 0 0 0 0 0 1.37042254235 1.6770393903

Iteration 16 Cummulative Energy, KWH/ton 8 Cummulative Time, min 8.63434282281 2 3 4 5 6 7 8 9

Make-up Feed, tons 0.8687252264 1.1615533273 1.8117279306 3.5154722596 4.4905747776 1.04855973782 1.0005553299 0.51433242811 0.4951287533Crushed Pebbles, tons 0 0 0 0 0 0 5.0146270993 2.06505777645 1.4207624233Internal Feed, tons 9.6730183239 21.811663677 31.946574717 52.997121169 12.260195794 2.46181094071 9.1814478479 4.35369014131 3.4658124458To the Grate, tons 8.6895614148 20.759846151 30.334692434 49.49804389 12.278299765 2.58755678064 6.6921482225 3.99710454424 3.6552428987Internal Recycle, tons 8.6895614148 20.759846151 30.334692434 49.49804389 7.7254296268 1.40321714022 3.1320191222 1.75498057473 1.534319154Mill Discharge, tons 0 0 0 0 4.5528701386 1.18433964043 3.5601291002 2.24212396951 2.1209237447 Actual 0 0 0 0 4.5528701386 1.18433964043 3.5601291002 2.24212396951 2.1209237447To the Crusher, tons 0 0 0 0 4.5528701386 1.18433964043 3.5601291002 0.88662319356 0.4607660905SAG Product, tons 0 0 0 0 0 0 0 1.35550077594 1.6601576542

Iteration 17 Cummulative Energy, KWH/ton 8.5 Cummulative Time, min 9.14195391861 2 3 4 5 6 7 8 9

Make-up Feed, tons 0.8636784848 1.1548054405 1.8012029424 3.4950495994 4.4644873914 1.04246827198 0.9947427392 0.5113444835 0.4922523698Crushed Pebbles, tons 0 0 0 0 0 0 4.9725878206 2.04774571364 1.4088517016Internal Feed, tons 9.5532398997 21.914651591 32.135895377 52.993093489 12.189917018 2.4456854122 9.099349682 4.31407077187 3.4354232254To the Grate, tons 8.5819608771 20.849673387 30.512840598 49.499787576 12.224444435 2.57320659955 6.6360830094 3.96344474398 3.6269701584Internal Recycle, tons 8.5819608771 20.849673387 30.512840598 49.499787576 7.6915441888 1.39543511965 3.1057798171 1.74020180301 1.5224514319Mill Discharge, tons 0 0 0 0 4.5329002461 1.1777714799 3.5303031923 2.22324294097 2.1045187266 Actual 0 0 0 0 4.5329002461 1.1777714799 3.5303031923 2.22324294097 2.1045187266To the Crusher, tons 0 0 0 0 4.5329002461 1.1777714799 3.5303031923 0.87915689908 0.4572021359SAG Product, tons 0 0 0 0 0 0 0 1.34408604188 1.6473165907

Iteration 18 Cummulative Energy, KWH/ton 9 Cummulative Time, min 9.64899453861 2 3 4 5 6 7 8 9

Make-up Feed, tons 0.8598027972 1.1496233441 1.7931201894 3.4793658461 4.4444533641 1.03779027965 0.9902789113 0.50904986635 0.490043427Crushed Pebbles, tons 0 0 0 0 0 0 4.9403761749 2.03448073737 1.3997253808Internal Feed, tons 9.4417636743 21.999296731 32.305960787 52.979153422 12.135997553 2.4332253993 9.0364349033 4.28373240673 3.4122202397To the Grate, tons 8.4818184527 20.922856454 30.672681646 49.491809754 12.182989331 2.56201566465 6.5929717627 3.93760548697 3.6054126841Internal Recycle, tons 8.4818184527 20.922856454 30.672681646 49.491809754 7.6654608959 1.38936634011 3.0856031496 1.7288567422 1.5134024995

Page 76: SAGSim Recycle

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1.87993983 1.5728285033 1.4671441261 1.2406983856 1.41860313352 1.254391525 1.2506433542 1.12722870457 1.0128539579 0.88863335221.87993983 1.5728285033 1.4671441261 1.2406983856 1.41860313352 1.254391525 1.2506433542 1.12722870457 1.0128539579 0.8886333522

0.270087043 0.1817661368 0.1547445304 0.1266128893 0.1428334603 0.1257608629 0.1251771597 0.11275901212 0.10129681786 0.08886687171.609852787 1.3910623665 1.3123995958 1.1140854963 1.27576967322 1.1286306621 1.1254661945 1.01446969245 0.91155714004 0.7997664805

10 11 12 13 14 15 16 17 18 190.409236219 0.3658155401 0.3316866052 0.2851036863 0.29209324388 0.2415745882 0.2361733005 0.21423776837 0.19764573485 0.1793298290.852090614 0.5931364029 0.4459819913 0.3343992059 0.30706607395 0.2315831776 0.2092969798 0.17645829098 0.1521458295 0.12954272922.567799399 2.029540753 1.7659447634 1.4510977119 1.54735172541 1.3105458243 1.2797923337 1.14243500849 1.02514086917 0.9013444473.159035232 2.622093885 2.4363314 2.0562026135 2.34594507649 2.0717151638 2.0640161341 1.8596887573 1.67070003296 1.4656649121.295247555 1.0619527829 0.9805931246 0.8251377929 0.93983923474 0.8293558043 0.8259389691 0.74402583215 0.6683473079 0.58629544661.863787677 1.5601411021 1.4557382754 1.2310648206 1.40610584175 1.2423593595 1.238077165 1.11566292515 1.00235272506 0.87936946541.863787677 1.5601411021 1.4557382754 1.2310648206 1.40610584175 1.2423593595 1.238077165 1.11566292515 1.00235272506 0.87936946540.267766497 0.1802998994 0.1535415177 0.125629787 0.14157515811 0.1245545605 0.1239194071 0.11160206335 0.10024657615 0.0879404461

1.59602118 1.3798412027 1.3021967577 1.1054350337 1.26453068364 1.1178047991 1.1141577579 1.0040608618 0.9021061489 0.7914290193

10 11 12 13 14 15 16 17 18 190.406858816 0.3636903842 0.3297597167 0.283447415 0.29039636772 0.2401711933 0.2348012837 0.21299318306 0.19649753871 0.17828803670.844947256 0.5881639441 0.4422431767 0.3315958267 0.30449183743 0.2296417391 0.207542374 0.17497898272 0.15087034065 0.12845672972.547053628 2.0138071112 1.752596018 1.4401810346 1.53472743988 1.2991687367 1.2682826267 1.13199799793 1.01571518726 0.8930402129

3.13814395 2.605810156 2.4217509753 2.0439059776 2.33001448613 2.0563901826 2.0480256418 1.84497592409 1.65734319754 1.45388292331.286681845 1.0553578431 0.9747246848 0.8202032504 0.93345707601 0.8232208576 0.8195401961 0.73813950954 0.66300403573 0.58158241411.851462105 1.5504523129 1.4470262905 1.2237027271 1.39655741012 1.233169325 1.2284854457 1.10683641455 0.99433916181 0.87230050921.851462105 1.5504523129 1.4470262905 1.2237027271 1.39655741012 1.233169325 1.2284854457 1.10683641455 0.99433916181 0.87230050920.265995708 0.1791802009 0.1526226359 0.1248784876 0.14061376482 0.1236332001 0.1229593699 0.11071912929 0.09944512946 0.08723352241.585466397 1.371272112 1.2944036547 1.0988242396 1.2559436453 1.1095361249 1.1055260758 0.99611728525 0.89489403235 0.7850669869

10 11 12 13 14 15 16 17 18 190.40503307 0.3620583529 0.3282799466 0.2821754676 0.28909323743 0.2390934444 0.2337476318 0.21203739332 0.19561577184 0.17748798350.83947382 0.5843539101 0.4393783946 0.3294478008 0.30251938696 0.2281541559 0.2061979469 0.17384549626 0.14989302619 0.1276246071

2.531188735 2.0017701061 1.7423830259 1.4318265188 1.52506970039 1.2904684579 1.2594857749 1.12402239912 1.00851283376 0.88669500473.122158066 2.5933405803 2.4105823416 2.0344803645 2.31780666556 2.0446513896 2.0357870682 1.83371842739 1.64712465196 1.44487006181.280127414 1.0503076423 0.9702294485 0.8164208267 0.92856634397 0.8185215455 0.814642795 0.73363560085 0.6589162059 0.5779770882

Page 77: SAGSim Recycle

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0.7664454699 0.6695685831 0.5747971784 0.4961785152 0.4080849994 2.4343370103 32.2425 9.3708 22.87170.7664454699 0.6695685831 0.5747971784 0.4961785152 0.4080849994 2.4343370103 32.2425 9.3708 22.87170.0766456274 0.0669571914 0.0574798191 0.0496178824 0.0408085093 0.243433701 12.6975 9.3708 3.32670.6897998425 0.6026113917 0.5173173593 0.4465606328 0.3672764901 2.1909033093 19.5450 0.0000 19.5450

Deficit 0.1794

20 21 22 23 24 250.1622199777 0.1474032837 0.1326559811 0.1199825147 0.1036229076 0.8942312922 19.2196 13.8972 5.32250.1103761613 0.0947519113 0.0807670252 0.0693485083 0.0570210114 0.3530479423 12.6975 5.0146 7.68280.7835812253 0.6885436037 0.5966251449 0.5201184326 0.4327013179 2.8701705747 169.0641 140.3318 28.73221.2640689739 1.1041981834 0.9478225925 0.818106569 0.6728061564 4.013176407 169.0641 130.8401 38.22390.5056403188 0.4416848262 0.3791314232 0.3272436561 0.2691228974 1.6052705628 137.1169 121.5428 15.5741

0.758428655 0.6625133573 0.5686911693 0.4908629129 0.403683259 2.4079058442 31.9471 9.2973 22.64980.758428655 0.6625133573 0.5686911693 0.4908629129 0.403683259 2.4079058442 31.9471 9.2973 22.6498

0.0758439346 0.0662516653 0.0568692171 0.0490863218 0.0403683352 0.2407905844 12.5910 9.2973 3.29370.6825847204 0.596261692 0.5118219522 0.441776591 0.3633149239 2.1671152598 19.3561 0.0000 19.3561

Deficit 0.1365

20 21 22 23 24 250.1612775827 0.1465469643 0.1318853341 0.1192854925 0.1030209244 0.8890363765 19.1080 13.8164 5.29160.1094508414 0.0939575747 0.0800899285 0.0687671368 0.0565429854 0.3500882246 12.5910 4.9726 7.61840.7763687429 0.6821893652 0.5911066858 0.5152962854 0.4286868072 2.8443951639 168.8159 140.3318 28.48411.2538735853 1.0952261406 0.9400579406 0.8113472887 0.6672090858 3.9795706712 168.8159 130.8780 37.93790.5015620607 0.4380959639 0.3760255429 0.3245399355 0.2668840655 1.5918282685 137.0945 121.6370 15.45750.7523115246 0.6571301767 0.5640323977 0.4868073532 0.4003250203 2.3877424027 31.7214 9.2410 22.48040.7523115246 0.6571301767 0.5640323977 0.4868073532 0.4003250203 2.3877424027 31.7214 9.2410 22.48040.0752322129 0.0657133446 0.0564033392 0.0486807656 0.0400325112 0.2387742403 12.5095 9.2410 3.26850.6770793116 0.5914168322 0.5076290586 0.4381265876 0.3602925091 2.1489681624 19.2120 0.0000 19.2120

Deficit 0.1040

20 21 22 23 24 250.1605538625 0.1458893466 0.1312935093 0.1187502085 0.1025586263 0.8850468975 19.0222 13.7544 5.2678

0.108741836 0.0933489322 0.0795711185 0.068321674 0.0561767088 0.3478204078 12.5095 4.9404 7.56910.7708577592 0.6773342428 0.5868901707 0.511611818 0.4256194006 2.8246955738 168.6262 140.3318 28.29441.2460748263 1.0883635677 0.9341191922 0.8061778125 0.6629286679 3.9538717172 168.6262 130.9071 37.71910.4984424786 0.4353509002 0.3736500285 0.3224721385 0.2651718956 1.5815486869 137.0778 121.7096 15.3682

Page 78: SAGSim Recycle

Mill

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Mill Discharge, tons 0 0 0 0 4.5175284349 1.17264932455 3.507368613 2.20874874477 2.0920101846 Actual 0 0 0 0 4.5175284349 1.17264932455 3.507368613 2.20874874477 2.0920101846To the Crusher, tons 0 0 0 0 4.5175284349 1.17264932455 3.507368613 0.87342532906 0.4544846822SAG Product, tons 0 0 0 0 0 0 0 1.3353234157 1.6375255024

Iteration 19 Cummulative Energy, KWH/ton 9.5 Cummulative Time, min 10.1555975961 2 3 4 5 6 7 8 9

Make-up Feed, tons 0.8568144948 1.1456277509 1.7868880797 3.4672730762 4.4290063677 1.03418336978 0.9868371304 0.50728062933 0.4883402481Crushed Pebbles, tons 0 0 0 0 0 0 4.915605507 2.02428000672 1.3927072649Internal Feed, tons 9.3386329475 22.068484205 32.459569726 52.95908283 12.094467264 2.42354970989 8.9880457871 4.26041737825 3.3944500125To the Grate, tons 8.389173039 20.98208011 30.816888683 49.477669588 12.150950662 2.55323719624 6.5596850077 3.91768811204 3.5889280281Internal Recycle, tons 8.389173039 20.98208011 30.816888683 49.477669588 7.6453023653 1.38460582725 3.070024482 1.7201117605 1.5064829255Mill Discharge, tons 0 0 0 0 4.5056482967 1.168631369 3.4896605257 2.19757635154 2.0824451025 Actual 0 0 0 0 4.5056482967 1.168631369 3.4896605257 2.19757635154 2.0824451025To the Crusher, tons 0 0 0 0 4.5056482967 1.168631369 3.4896605257 0.86900732939 0.4524066888SAG Product, tons 0 0 0 0 0 0 0 1.32856902215 1.6300384137

Iteration 20 Cummulative Energy, KWH/ton 10 Cummulative Time, min 10.6618638141 2 3 4 5 6 7 8 9

Make-up Feed, tons 0.8545002428 1.1425334156 1.7820617031 3.4579079873 4.4170436415 1.03139004517 0.9841716878 0.50591046664 0.4870212433Crushed Pebbles, tons 0 0 0 0 0 0 4.8964796512 2.01640384834 1.3872884577Internal Feed, tons 9.2436732817 22.124613526 32.598950386 52.935577575 12.062346007 2.41599587242 8.950675821 4.24242607548 3.3807926266To the Grate, tons 8.3038679335 21.029566813 30.947590733 49.459913399 12.126085704 2.54630846272 6.5338655756 3.90226336759 3.5762804691Internal Recycle, tons 8.3038679335 21.029566813 30.947590733 49.459913399 7.6296574887 1.38084841496 3.057940626 1.71333932646 1.5011740056Mill Discharge, tons 0 0 0 0 4.4964282151 1.16546004776 3.4759249496 2.18892404113 2.0751064635 Actual 0 0 0 0 4.4964282151 1.16546004776 3.4759249496 2.18892404113 2.0751064635To the Crusher, tons 0 0 0 0 4.4964282151 1.16546004776 3.4759249496 0.86558586867 0.4508123854SAG Product, tons 0 0 0 0 0 0 0 1.32333817246 1.6242940781

Iteration 21 Cummulative Energy, KWH/ton 10.5 Cummulative Time, min 11.1678696631 2 3 4 5 6 7 8 9

Make-up Feed, tons 0.8526994322 1.1401255916 1.7783061097 3.4506206435 4.407734974 1.02921644948 0.9820976021 0.50484428919 0.4859948738Crushed Pebbles, tons 0 0 0 0 0 0 4.8816462578 2.01029535536 1.3830858067Internal Feed, tons 9.1565673658 22.169692405 32.725896843 52.910534043 12.037392463 2.41006486444 8.9216844859 4.22847897101 3.3702546861To the Grate, tons 8.2256180863 21.067167645 31.06650254 49.440341183 12.106704971 2.54080436095 6.5137371369 3.8902551884 3.5665404201Internal Recycle, tons 8.2256180863 21.067167645 31.06650254 49.440341183 7.6174632526 1.37786357227 3.0485202347 1.70806697969 1.4970855376

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1.842030652 1.543032938 1.4403528932 1.2180595378 1.38924032159 1.2261298441 1.2211442732 1.10008282654 0.98820844606 0.86689297361.842030652 1.543032938 1.4403528932 1.2180595378 1.38924032159 1.2261298441 1.2211442732 1.10008282654 0.98820844606 0.86689297360.264640711 0.1783227704 0.1519187707 0.1243026018 0.13987703652 0.1229274466 0.1222245904 0.11004355396 0.09883198875 0.08669274731.577389941 1.3647101676 1.2884341225 1.093756936 1.24936328506 1.1032023976 1.0989196828 0.99003927258 0.88937645731 0.7802002263

10 11 12 13 14 15 16 17 18 190.40362535 0.3607999948 0.3271389876 0.2811947478 0.28808847445 0.2382624591 0.2329352262 0.21130044311 0.19493589608 0.1768711121

0.835264763 0.5814240043 0.4371753849 0.3277959748 0.30100257791 0.2270102084 0.2051640862 0.17297384825 0.14914147404 0.12698470712.519017527 1.9925316414 1.734543821 1.4254115493 1.51765739633 1.283794213 1.2527421074 1.11790989221 1.00299357602 0.88183290743.109885808 2.583760306 2.4019984881 2.0272302302 2.30841913452 2.0356288299 2.0263894663 1.825077348 1.63928259132 1.4379541891.275095621 1.0464276138 0.9667745541 0.8135114054 0.9248054844 0.8149096048 0.8108822403 0.73017847059 0.65577906577 0.57521061.834790187 1.5373326922 1.4352239341 1.2137188249 1.38361365012 1.2207192251 1.215507226 1.09489887741 0.98350352555 0.8627435891.834790187 1.5373326922 1.4352239341 1.2137188249 1.38361365012 1.2207192251 1.215507226 1.09489887741 0.98350352555 0.8627435890.263600488 0.1776640135 0.1513778024 0.1238596334 0.13931050954 0.122384997 0.1216603771 0.10952499283 0.09836144364 0.08627779231.571189699 1.3596686787 1.2838461317 1.0898591915 1.24430314058 1.0983342281 1.0938468489 0.98537388458 0.88514208191 0.7764657967

10 11 12 13 14 15 16 17 18 190.40253516 0.3598254756 0.3262553866 0.280435242 0.28731034878 0.2376189133 0.2323060692 0.21072972157 0.1944093751 0.176393384

0.832014877 0.5791617741 0.4354744036 0.3265205716 0.29983142374 0.226126947 0.2043658247 0.17230083393 0.14856118778 0.12649062932.509645658 1.9854148635 1.7285043443 1.420467219 1.51194725693 1.2786554652 1.2475541342 1.11320902609 0.99874962865 0.87809461333.100429351 2.5763721826 2.3953762408 2.0216316272 2.3011719754 2.0286669109 2.0191461655 1.81842007816 1.63324237726 1.43262821931.271218344 1.0434354104 0.9641091818 0.8112647304 0.92190210676 0.8121225866 0.8079837531 0.72751502451 0.65336273685 0.5730801051.829211006 1.5329367722 1.431267059 1.2103668968 1.37926986864 1.2165443243 1.2111624125 1.09090505365 0.97987964041 0.85954811441.829211006 1.5329367722 1.431267059 1.2103668968 1.37926986864 1.2165443243 1.2111624125 1.09090505365 0.97987964041 0.85954811440.262798939 0.1771559928 0.1509604578 0.1235175702 0.1388731516 0.1219664362 0.1212255038 0.10912548241 0.09799901426 0.08595823211.566412068 1.3557807794 1.2803066013 1.0868493266 1.24039671704 1.0945778881 1.0899369086 0.98177957125 0.88188062615 0.7735898822

10 11 12 13 14 15 16 17 18 190.40168684 0.359067164 0.325567822 0.2798442408 0.28670485861 0.237118145 0.2318164974 0.2102856207 0.19399966844 0.176021645

0.829494372 0.5774072616 0.4341551776 0.3255314104 0.29892311455 0.2254419182 0.203746719 0.17177886586 0.14811113658 0.12610743872.502399556 1.979909836 1.7238321814 1.4166403815 1.50753007992 1.2746826497 1.2435469695 1.10957951107 0.99547354187 0.87520918873.093112401 2.5706508181 2.3902460159 2.0172897791 2.29555290724 2.0232716602 2.0135397545 1.81326985685 1.62857086106 1.42850988811.268218295 1.0411182474 0.96204433 0.8095223812 0.91965097958 0.8099627422 0.8057402855 0.72545451966 0.6514939422 0.5714326896

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0.7476323477 0.6530126674 0.5604691636 0.483705674 0.3977567723 2.3723230303 31.5484 9.1975 22.35080.7476323477 0.6530126674 0.5604691636 0.483705674 0.3977567723 2.3723230303 31.5484 9.1975 22.35080.0747642887 0.0653015916 0.0560470151 0.0483705975 0.0397756863 0.237232303 12.4467 9.1975 3.2492

0.672868059 0.5877110758 0.5044221485 0.4353350765 0.357981086 2.1350907273 19.1016 0.0000 19.1016Deficit 0.0794

20 21 22 23 24 250.1599958468 0.1453822984 0.1308371899 0.1183374842 0.1022021769 0.8819708575 18.9561 13.7066 5.24950.1081966127 0.0928808878 0.079172155 0.0679791144 0.0558950431 0.3460764629 12.4467 4.9156 7.53110.7666349381 0.6736140864 0.5836593735 0.5087887371 0.4232691155 2.8095960073 168.4807 140.3318 28.14891.2400909664 1.0830984315 0.9295631496 0.802212263 0.659645338 3.9341597827 168.4807 130.9297 37.55100.4960488744 0.4332448193 0.3718276001 0.3208859138 0.2638585615 1.5736639131 137.0654 121.7657 15.2997

0.744042092 0.6498536122 0.5577355496 0.4813263493 0.3957867765 2.3604958696 31.4153 9.1639 22.25130.744042092 0.6498536122 0.5577355496 0.4813263493 0.3957867765 2.3604958696 31.4153 9.1639 22.25130.074405258 0.0649856845 0.0557736532 0.0481326649 0.0395786867 0.236049587 12.3983 9.1639 3.23440.669636834 0.5848679277 0.5019618963 0.4331936844 0.3562080898 2.1244462827 19.0170 0.0000 19.0170

Deficit 0.0608

20 21 22 23 24 250.1595636987 0.1449896215 0.1304837993 0.1180178552 0.1019261293 0.8795886582 18.9049 13.6696 5.23530.1077756365 0.0925195027 0.0788641085 0.0677146183 0.0556775641 0.3447299333 12.3983 4.8965 7.50180.7633882097 0.6707539435 0.5811755078 0.5066183872 0.4214622549 2.7979825046 168.3687 140.3318 28.0368

1.23548311 1.0790443976 0.9260553894 0.799159438 0.6571179139 3.9189863536 168.3687 130.9472 37.42150.4942056854 0.4316231853 0.3704244871 0.3196647799 0.2628475903 1.5675945414 137.0563 121.8094 15.24690.7412774246 0.6474212122 0.5556309023 0.4794946581 0.3942703237 2.3513918121 31.3124 9.1378 22.17460.7412774246 0.6474212122 0.5556309023 0.4794946581 0.3942703237 2.3513918121 31.3124 9.1378 22.17460.0741287874 0.0647424433 0.0555631881 0.0479494956 0.0394270414 0.2351391812 12.3607 9.1378 3.22290.6671486372 0.5826787689 0.5000677141 0.4315451625 0.3548432823 2.1162526309 18.9517 0.0000 18.9517

Deficit 0.0467

20 21 22 23 24 250.1592274273 0.1446840641 0.1302088121 0.1177691393 0.1017113258 0.8777349753 18.8651 13.6408 5.22430.1074491411 0.0922392242 0.0786251976 0.0675094836 0.0555088946 0.3436856086 12.3607 4.8816 7.47910.7608822539 0.6685464736 0.5792584968 0.5049434028 0.4200678106 2.7890151253 168.2821 140.3318 27.95031.2319203896 1.0759102126 0.923343783 0.7967997817 0.6551645434 3.9072594016 168.2821 130.9609 37.32120.4927805614 0.4303694956 0.3693398378 0.3187209144 0.2620662408 1.5629037607 137.0494 121.8435 15.2060

Page 81: SAGSim Recycle

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Mill Discharge, tons 0 0 0 0 4.4892417185 1.16294078868 3.4652169022 2.18218820871 2.0694548825 Actual 0 0 0 0 4.4892417185 1.16294078868 3.4652169022 2.18218820871 2.0694548825To the Crusher, tons 0 0 0 0 4.4892417185 1.16294078868 3.4652169022 0.86292225804 0.4495845917SAG Product, tons 0 0 0 0 0 0 0 1.31926595067 1.6198702909

Iteration 22 Cummulative Energy, KWH/ton 11 Cummulative Time, min 11.6736733421 2 3 4 5 6 7 8 9

Make-up Feed, tons 0.8512909907 1.1382423954 1.7753688024 3.4449210999 4.4004545221 1.0275164469 0.9804754278 0.50401041542 0.4851921345Crushed Pebbles, tons 0 0 0 0 0 0 4.8700862706 2.00553487351 1.379810589Internal Feed, tons 9.076909077 22.20541004 32.841871343 52.885262283 12.017917775 2.40538001916 8.8990819332 4.21761226862 3.3620882611To the Grate, tons 8.1540586651 21.096433128 31.175021908 49.420204916 12.091532905 2.53640291753 6.4979597958 3.88085288684 3.5590083349Internal Recycle, tons 8.1540586651 21.096433128 31.175021908 49.420204916 7.607917083 1.37547669485 3.041136218 1.70393877729 1.493923881Mill Discharge, tons 0 0 0 0 4.4836158216 1.16092622268 3.4568235777 2.17691410955 2.0650844539 Actual 0 0 0 0 4.4836158216 1.16092622268 3.4568235777 2.17691410955 2.0650844539To the Crusher, tons 0 0 0 0 4.4836158216 1.16092622268 3.4568235777 0.8608366737 0.4486351255SAG Product, tons 0 0 0 0 0 0 0 1.31607743585 1.6164493284

Iteration 23 Cummulative Energy, KWH/ton 11.5 Cummulative Time, min 12.1793192681 2 3 4 5 6 7 8 9

Make-up Feed, tons 0.850183504 1.1367615994 1.773059137 3.440439431 4.3947297524 1.02617969975 0.9791998787 0.50335472326 0.484560924Crushed Pebbles, tons 0 0 0 0 0 0 4.8610308538 2.00180579084 1.3772449753Internal Feed, tons 9.004242169 22.233194727 32.948081045 52.860644347 12.002646835 2.4016563946 8.8813669505 4.20909929139 3.3557297803To the Grate, tons 8.0887798102 21.118668715 31.274302772 49.400355933 12.079604185 2.53285957439 6.4855214802 3.87344504754 3.5531573825Internal Recycle, tons 8.0887798102 21.118668715 31.274302772 49.400355933 7.6004116071 1.37355516027 3.0353149121 1.7006862694 1.4914678942Mill Discharge, tons 0 0 0 0 4.4791925781 1.15930441412 3.4502065681 2.17275877814 2.0616894883 Actual 0 0 0 0 4.4791925781 1.15930441412 3.4502065681 2.17275877814 2.0616894883To the Crusher, tons 0 0 0 0 4.4791925781 1.15930441412 3.4502065681 0.85919349372 0.4478975766SAG Product, tons 0 0 0 0 0 0 0 1.31356528442 1.6137919117

Iteration 24 Cummulative Energy, KWH/ton 12 Cummulative Time, min 12.6848414581 2 3 4 5 6 7 8 9

Make-up Feed, tons 0.8493078202 1.135590742 1.7712328971 3.4368957997 4.390203208 1.02512274102 0.9781913089 0.50283627101 0.4840618292Crushed Pebbles, tons 0 0 0 0 0 0 4.8538990425 1.99886886211 1.3752243645Internal Feed, tons 8.9380876304 22.254259457 33.045535669 52.837251733 11.990614815 2.39867790129 8.8674052634 4.20239140252 3.350754088To the Grate, tons 8.0293512113 21.134978536 31.365310126 49.381354283 12.070186383 2.52998798278 6.4756563907 3.86756986821 3.5485903652Internal Recycle, tons 8.0293512113 21.134978536 31.365310126 49.381354283 7.5944859847 1.37199791268 3.030697912 1.69810669574 1.48955085

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1.824894106 1.5295325707 1.428201686 1.2077673979 1.37590192766 1.2133089181 1.2077994691 1.08781533718 0.97707691885 0.85707719841.824894106 1.5295325707 1.428201686 1.2077673979 1.37590192766 1.2133089181 1.2077994691 1.08781533718 0.97707691885 0.85707719840.262178739 0.1767625815 0.1506371428 0.1232522921 0.13853404713 0.1216420658 0.1208889061 0.1088164117 0.0977187105 0.08571113071.562715367 1.3527699892 1.2775645432 1.0845151058 1.23736788052 1.0916668522 1.086910563 0.97899892549 0.87935820836 0.7713660677

10 11 12 13 14 15 16 17 18 190.401023356 0.3584740768 0.3250300672 0.2793820096 0.28623129545 0.2367264864 0.2314335958 0.20993828259 0.19367923056 0.17573090220.827530087 0.5760399318 0.433127076 0.3247605354 0.29821524938 0.2249080602 0.2032642363 0.17137208475 0.14776040186 0.12580880982.496771738 1.975632256 1.7202014732 1.4136649262 1.50409752441 1.2715972888 1.2404381176 1.106764887 0.99293357462 0.8729724017

3.0874253 2.5662000938 2.3862537556 2.0139070127 2.29117571037 2.0190707108 2.0091802466 1.80926731709 1.62494152324 1.4253110211.265886506 1.039315696 0.9604374948 0.8081649039 0.91789737444 0.8082810043 0.80399578 0.72385318021 0.65004206089 0.57015307851.821538794 1.5268843978 1.4258162608 1.2057421088 1.37327833593 1.2107897065 1.2051844666 1.08541413688 0.97489946235 0.85515794261.821538794 1.5268843978 1.4258162608 1.2057421088 1.37327833593 1.2107897065 1.2051844666 1.08541413688 0.97489946235 0.85515794260.261696688 0.1764565417 0.1503855441 0.123045612 0.1382698882 0.1213894986 0.1206271699 0.10857621468 0.09750094029 0.08551919751.559842106 1.3504278561 1.2754307167 1.0826964969 1.23500844773 1.0894002079 1.0845572967 0.9768379222 0.87739852206 0.7696387451

10 11 12 13 14 15 16 17 18 190.400501645 0.3580077201 0.3246072194 0.2790185477 0.28585892295 0.2364185172 0.2311325124 0.20966516346 0.19342726363 0.17550228520.825991381 0.5749688457 0.4323217214 0.3241566771 0.29766074926 0.2244898672 0.2028862877 0.17105343625 0.14748565682 0.12557488152.492379532 1.9722922617 1.7173664356 1.4113401287 1.50141704665 1.2691893886 1.23801458 1.10457177992 0.99095498134 0.87123024513.082983604 2.5627210768 2.3831322221 2.0112586086 2.28774888868 2.0157830964 2.0057734576 1.80614138332 1.62210806281 1.4228142408

1.26406535 1.0379066878 0.9591811163 0.8071021203 0.91652451132 0.8069648958 0.8026325155 0.72260255402 0.64890856259 0.56915431621.818918254 1.524814389 1.4239511058 1.2041564883 1.37122437736 1.2088182007 1.2031409421 1.0835388293 0.97319950022 0.85365992461.818918254 1.524814389 1.4239511058 1.2041564883 1.37122437736 1.2088182007 1.2031409421 1.0835388293 0.97319950022 0.85365992460.261320201 0.1762173182 0.15018882 0.1228837999 0.13806308335 0.1211918424 0.1204226331 0.10838862379 0.09733092491 0.08536938971.557598053 1.3485970708 1.2737622857 1.0812726884 1.23316129401 1.0876263583 1.0827183089 0.97515020551 0.87586857532 0.7682905349

10 11 12 13 14 15 16 17 18 190.400089131 0.3576389743 0.324272876 0.2787311603 0.28556449003 0.2361750076 0.2308944473 0.20944920964 0.19322803475 0.17532151890.824779536 0.5741252861 0.4316874451 0.323681094 0.29722403936 0.2241605092 0.2025886252 0.17080247697 0.14726927476 0.12539064562.488934017 1.9696709482 1.7151414374 1.4095143746 1.49931304071 1.2673004125 1.236115588 1.10285424062 0.9894058721 0.86986648073.079496934 2.5599878653 2.3806794096 2.0091746525 2.28505210843 2.0131965231 2.0030971911 1.80368733567 1.61988447738 1.42085539151.262635768 1.0367997322 0.9581938898 0.8062658453 0.91544411949 0.8059294302 0.8015615778 0.72162073658 0.64801903885 0.568370737

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0.7391398282 0.645540717 0.5540039453 0.4780788673 0.3930983026 2.344355641 31.2326 9.1174 22.11520.7391398282 0.645540717 0.5540039453 0.4780788673 0.3930983026 2.344355641 31.2326 9.1174 22.11520.0739150247 0.0645543928 0.0554004921 0.0478079165 0.0393098393 0.2344355641 12.3315 9.1174 3.21410.6652248034 0.5809863242 0.4986034531 0.4302709508 0.3537884633 2.1099200769 18.9012 0.0000 18.9012

Deficit 0.0361

20 21 22 23 24 250.1589644243 0.144445083 0.1299937404 0.1175746147 0.1015433246 0.8762851814 18.8339 13.6183 5.2157

0.107194696 0.092020797 0.0784390091 0.0673496177 0.0553774467 0.3428717435 12.3315 4.8701 7.46140.7589396817 0.6668353756 0.5777725873 0.5036451469 0.4189870121 2.7820606856 168.2148 140.3318 27.88301.2291533752 1.0734763084 0.9212382546 0.7949677705 0.6536481241 3.898155695 168.2148 130.9716 37.24320.4916737278 0.4293959216 0.3684976211 0.3179881076 0.2614596721 1.559262278 137.0444 121.8702 15.17420.7374796474 0.6440803867 0.5527406335 0.4769796628 0.392188452 2.338893417 31.1704 9.1014 22.06910.7374796474 0.6440803867 0.5527406335 0.4769796628 0.392188452 2.338893417 31.1704 9.1014 22.06910.0737490043 0.0644083591 0.0552741607 0.0476979959 0.0392188542 0.2338893417 12.3085 9.1014 3.20720.6637306431 0.5796720276 0.4974664727 0.4292816669 0.3529695978 2.1050040753 18.8619 0.0000 18.8619

Deficit 0.0280

20 21 22 23 24 250.1587576196 0.1442571672 0.1298246251 0.1174216561 0.1014112219 0.8751451785 18.8094 13.6006 5.20890.1069953787 0.0918496939 0.07829316 0.0672243881 0.0552744781 0.3422342093 12.3085 4.8610 7.44750.7574267261 0.6655027828 0.5766154061 0.5026341518 0.418145372 2.7766416658 168.1624 140.3318 27.8306

1.226993916 1.0715770607 0.9195954271 0.7935385482 0.6524652383 3.8910542937 168.1624 130.9801 37.18230.4908099224 0.428636213 0.367840486 0.3174164169 0.260986517 1.5564217175 137.0407 121.8914 15.14930.7361839937 0.6429408477 0.5517549412 0.4761221313 0.3914787213 2.3346325762 31.1217 9.0887 22.03300.7361839937 0.6429408477 0.5517549412 0.4761221313 0.3914787213 2.3346325762 31.1217 9.0887 22.03300.0736194371 0.0642944046 0.0551755913 0.0476122427 0.0391478811 0.2334632576 12.2905 9.0887 3.20180.6625645565 0.5786464431 0.4965793498 0.4285098886 0.3523308402 2.1011693186 18.8312 0.0000 18.8312

Deficit 0.0218

20 21 22 23 24 250.1585941003 0.1441085832 0.1296909065 0.1173007125 0.101306769 0.8742437844 18.7901 13.5865 5.20350.1068384015 0.0917149376 0.0781782929 0.0671257606 0.0551933827 0.3417321039 12.2905 4.8539 7.43660.7562424241 0.6644597339 0.5757096855 0.50184289 0.4174866686 2.7723976058 168.1212 140.3318 27.7894

1.225299929 1.0700874004 0.9183070338 0.7924178355 0.6515377962 3.8854863507 168.1212 130.9868 37.13440.4901323105 0.4280403414 0.3673251254 0.3169681304 0.2606155395 1.5541945403 137.0380 121.9082 15.1298

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Mill Discharge, tons 0 0 0 0 4.4757003983 1.1579900701 3.4449584787 2.16946317247 2.0590395151 Actual 0 0 0 0 4.4757003983 1.1579900701 3.4449584787 2.16946317247 2.0590395151To the Crusher, tons 0 0 0 0 4.4757003983 1.1579900701 3.4449584787 0.85789028281 0.4473218757SAG Product, tons 0 0 0 0 0 0 0 1.31157288966 1.6117176395

Iteration 25 Cummulative Energy, KWH/ton 12.5 Cummulative Time, min 13.1902660661 2 3 4 5 6 7 8 9

Make-up Feed, tons 0.8486115107 1.1346597219 1.7697807425 3.4340780426 4.3866038768 1.02428228874 0.9773893336 0.50242401805 0.4836649686Crushed Pebbles, tons 0 0 0 0 0 0 4.8482509879 1.99654295457 1.3736241371Internal Feed, tons 8.877962722 22.269638258 33.135090868 52.815432325 11.981089861 2.39628020142 8.8563382335 4.19707366835 3.3468399557To the Grate, tons 7.9753392094 21.146300136 31.448861385 49.363549733 12.062722156 2.52764563648 6.4677838221 3.8628779017 3.5450073898Internal Recycle, tons 7.9753392094 21.146300136 31.448861385 49.363549733 7.5897895395 1.37072767177 3.0270134396 1.69604662701 1.4880468658Mill Discharge, tons 0 0 0 0 4.4729326163 1.15691796471 3.4407703825 2.16683127469 2.056960524 Actual 0 0 0 0 4.4729326163 1.15691796471 3.4407703825 2.16683127469 2.056960524To the Crusher, tons 0 0 0 0 4.4729326163 1.15691796471 3.4407703825 0.85684952786 0.4468702193SAG Product, tons 0 0 0 0 0 0 0 1.30998174683 1.6100903047

Iteration 26 Cummulative Energy, KWH/ton 13 Cummulative Time, min 13.6956132851 2 3 4 5 6 7 8 9

Make-up Feed, tons 0.8480547212 1.133915251 1.768619557 3.4318248813 4.3837257459 1.02361023843 0.9767480506 0.50209436848 0.4833476272Crushed Pebbles, tons 0 0 0 0 0 0 4.8437529094 1.99469061502 1.3723497251Internal Feed, tons 8.8233939306 22.280215387 33.217480942 52.795374614 11.973515285 2.3943379102 8.8475143995 4.1928316105 3.343744218To the Grate, tons 7.9263184334 21.153432257 31.525657614 49.347141647 12.056786 2.52572311161 6.4614622886 3.85910412155 3.5421816279Internal Recycle, tons 7.9263184334 21.153432257 31.525657614 49.347141647 7.5860545475 1.36968509761 3.0240548734 1.6943896999 1.4868607283Mill Discharge, tons 0 0 0 0 4.4707314528 1.15603801401 3.4374074152 2.16471442165 2.0553208996 Actual 0 0 0 0 4.4707314528 1.15603801401 3.4374074152 2.16471442165 2.0553208996To the Crusher, tons 0 0 0 0 4.4707314528 1.15603801401 3.4374074152 0.85601244168 0.4465140145SAG Product, tons 0 0 0 0 0 0 0 1.30870197997 1.6088068851

Iteration 27 Cummulative Energy, KWH/ton 13.5 Cummulative Time, min 14.2008987881 2 3 4 5 6 7 8 9

Make-up Feed, tons 0.8476070634 1.1333166975 1.7676859658 3.4300133433 4.3814117333 1.02306991108 0.9762324601 0.50182933076 0.4830924852Crushed Pebbles, tons 0 0 0 0 0 0 4.8401508244 1.99320725177 1.3713291693Internal Feed, tons 8.7739254968 22.286748955 33.29334358 52.77715499 11.967466281 2.39275500868 8.8404381579 4.18942628243 3.3412823827To the Grate, tons 7.8818794611 21.157057228 31.596307164 49.33222311 12.052051856 2.52413599896 6.4563551276 3.85604698358 3.5399411479Internal Recycle, tons 7.8818794611 21.157057228 31.596307164 49.33222311 7.5830758534 1.36882441556 3.0216646505 1.69304742384 1.4859202678

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1.816861166 1.5231881331 1.4224855198 1.2029088072 1.36960798894 1.2072670929 1.2015356133 1.08206659909 0.97186543853 0.85248465441.816861166 1.5231881331 1.4224855198 1.2029088072 1.36960798894 1.2072670929 1.2015356133 1.08206659909 0.97186543853 0.85248465440.261024663 0.1760293776 0.1500342399 0.1227564744 0.13790033568 0.1210363338 0.1202619554 0.10824135357 0.09719750369 0.0852518581.555836503 1.3471587555 1.27245128 1.0801523328 1.23170765325 1.0862307591 1.0812736579 0.97382524552 0.87466793484 0.7672327964

10 11 12 13 14 15 16 17 18 190.399761116 0.3573457621 0.3240070192 0.2785026411 0.28533036848 0.2359813782 0.2307051473 0.2092774916 0.19306961573 0.17517778060.823819813 0.5734572271 0.4311851284 0.3233044548 0.29687818594 0.2238996733 0.2023528907 0.17060372918 0.14709791048 0.12524473962.486216697 1.9676027214 1.7133860374 1.4080729412 1.49765267391 1.2658104818 1.2346196157 1.10150195736 0.98818656506 0.86879325723.076745578 2.5578294411 2.3787423335 2.0075264162 2.28291850995 2.0111502977 2.0009833409 1.80175031709 1.61813007989 1.41931031581.261507674 1.0359255665 0.9574142407 0.8056044211 0.91458935116 0.8051102786 0.8007156972 0.72084577257 0.64731720919 0.56775267571.815237904 1.5219038746 1.4213280928 1.2019219951 1.36832915879 1.2060400191 1.2002676437 1.08090454452 0.9708128707 0.85155764011.815237904 1.5219038746 1.4213280928 1.2019219951 1.36832915879 1.2060400191 1.2002676437 1.08090454452 0.9708128707 0.85155764010.260791452 0.1758809605 0.1499121622 0.1226557705 0.13777157541 0.1209133117 0.1201350441 0.10812511085 0.09709223504 0.08515915291.554446452 1.3460229141 1.2714159306 1.0792662245 1.23055758338 1.0851267074 1.0801325997 0.97277943367 0.87372063566 0.7663984872

10 11 12 13 14 15 16 17 18 190.399498825 0.357111301 0.3237944323 0.2783199104 0.28514315801 0.2358265465 0.2305537774 0.20914018082 0.19294293923 0.17506284330.823055495 0.5729251887 0.4307850863 0.3230045015 0.29660275024 0.2236919452 0.202165153 0.17044544757 0.14696143695 0.12512854082.484061994 1.9659620562 1.7119937593 1.406928833 1.49633525941 1.2646287703 1.2334346276 1.10043140095 0.98722158536 0.86794405983.074562937 2.5561160499 2.3772048691 2.0062161415 2.28122143891 2.009522518 1.9993044585 1.80021295066 1.61673824629 1.4180849241.260612762 1.0352316399 0.9567954304 0.8050786183 0.9139094657 0.8044586405 0.8000438737 0.72023070172 0.64676041969 0.56726249431.813950176 1.52088441 1.4204094387 1.2011375232 1.36731197321 1.2050638775 1.1992605848 1.07998224893 0.9699778266 0.85082242971.813950176 1.52088441 1.4204094387 1.2011375232 1.36731197321 1.2050638775 1.1992605848 1.07998224893 0.9699778266 0.85082242970.260606447 0.1757631446 0.1498152687 0.1225757154 0.13766915907 0.1208154472 0.1200342474 0.10803285172 0.09700872121 0.08508562891.553343729 1.3451212653 1.27059417 1.0785618077 1.22964281414 1.0842484303 1.0792263374 0.97194939721 0.87296910539 0.7657368008

10 11 12 13 14 15 16 17 18 190.399287944 0.3569227947 0.3236235127 0.2781729952 0.2849926411 0.2357020621 0.2304320763 0.20902978317 0.19284109153 0.17497043390.822443425 0.5724991295 0.4304647305 0.3227642973 0.29638217989 0.2235255953 0.2020148117 0.17031869482 0.14685214822 0.12503548822.482344131 1.9646535642 1.7108836736 1.4060159109 1.49528428669 1.2636862979 1.2324907618 1.09957917971 0.98645365944 0.86726841643.072822368 2.5547489864 2.3759786303 2.0051693809 2.27986449618 2.0082204655 1.9979636772 1.79898604983 1.6156279726 1.41710774061.259899104 1.0346779767 0.9563018845 0.8046585616 0.91336584342 0.8039373986 0.7995073452 0.71973984221 0.64631626549 0.5668716013

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0.7351676185 0.642047059 0.5509819084 0.4754497051 0.3909222566 2.3312918104 31.0833 9.0786 22.00460.7351676185 0.642047059 0.5509819084 0.4754497051 0.3909222566 2.3312918104 31.0833 9.0786 22.00460.0735177982 0.0642050253 0.0550982879 0.0475450001 0.0390922346 0.233129181 12.2762 9.0786 3.19750.6616498203 0.5778420337 0.4958836205 0.427904705 0.351830022 2.0981626294 18.8071 0.0000 18.8071

Deficit 0.0170

20 21 22 23 24 250.158464076 0.1439904351 0.1295845788 0.1172045429 0.1012237121 0.873527031 18.7746 13.5754 5.1992

0.1067140831 0.091608217 0.0780873238 0.0670476522 0.055129159 0.3413344604 12.2762 4.8483 7.42790.7553104696 0.6636389935 0.5749970279 0.5012203256 0.4169684106 2.7690560317 168.0888 140.3318 27.75691.2239639541 1.0689127385 0.9172911961 0.7915343352 0.6508067456 3.8810973308 168.0888 130.9922 37.09660.4895979071 0.4275704707 0.3669187878 0.3166147292 0.2603231188 1.5524389323 137.0359 121.9216 15.1143

0.734366047 0.6413422677 0.5503724083 0.474919606 0.3904836267 2.3286583985 31.0529 9.0706 21.98220.734366047 0.6413422677 0.5503724083 0.474919606 0.3904836267 2.3286583985 31.0529 9.0706 21.9822

0.0734376399 0.0641345458 0.0550373378 0.0474919901 0.0390483716 0.2328658398 12.2648 9.0706 3.19420.6609284071 0.5772077219 0.4953350705 0.4274276159 0.3514352551 2.0957925586 18.7881 0.0000 18.7881

Deficit 0.0134

20 21 22 23 24 250.1583601049 0.1438959603 0.129499556 0.1171276429 0.1011572973 0.872953894 18.7623 13.5665 5.19580.1066150766 0.0915232254 0.0780148764 0.0669854472 0.0550780117 0.3410177794 12.2648 4.8438 7.42100.7545730885 0.6629896564 0.5744332201 0.5007278193 0.4165584278 2.7664106056 168.0630 140.3318 27.73121.2229045575 1.0679813982 0.9164858718 0.7908340262 0.6502273452 3.8776186269 168.0630 130.9965 37.06650.4891741377 0.42719793 0.366596656 0.3163346047 0.2600913583 1.5510474508 137.0344 121.9323 15.10210.7337304197 0.6407834683 0.5498892158 0.4744994215 0.3901359869 2.3265711761 31.0286 9.0642 21.96440.7337304197 0.6407834683 0.5498892158 0.4744994215 0.3901359869 2.3265711761 31.0286 9.0642 21.96440.0733740763 0.0640786656 0.0549890185 0.0474499717 0.0390136076 0.2326571176 12.2557 9.0642 3.19150.6603563434 0.5767048027 0.4949001973 0.4270494498 0.3511223793 2.0939140585 18.7729 0.0000 18.7729

Deficit 0.0106

20 21 22 23 24 250.1582765122 0.1438200028 0.1294311978 0.1170658154 0.1011039 0.8724930927 18.7524 13.5593 5.19310.1065357917 0.0914551636 0.0779568602 0.0669356331 0.0550370526 0.3407641795 12.2557 4.8402 7.41550.7539864416 0.6624730963 0.573984714 0.5003360532 0.4162323109 2.764304723 168.0425 140.3318 27.71071.2220598805 1.0672389359 0.9158439384 0.7902758807 0.6497656174 3.8748462574 168.0425 131.0000 37.04250.4888362584 0.4269009413 0.366339881 0.3161113458 0.2599066669 1.549938503 137.0333 121.9410 15.0923

Page 87: SAGSim Recycle

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Mill Discharge, tons 0 0 0 0 4.4689760026 1.15531158341 3.4346904771 2.16299955974 2.05402088 Actual 0 0 0 0 4.4689760026 1.15531158341 3.4346904771 2.16299955974 2.05402088To the Crusher, tons 0 0 0 0 4.4689760026 1.15531158341 3.4346904771 0.85533431845 0.4462315881SAG Product, tons 0 0 0 0 0 0 0 1.30766524129 1.607789292

Iteration 28 Cummulative Energy, KWH/ton 14 Cummulative Time, min 14.7061348011 2 3 4 5 6 7 8 9

Make-up Feed, tons 0.8472452847 1.1328329713 1.7669314758 3.4285493329 4.3795416437 1.02263324075 0.9758157811 0.50161513819 0.4828862899Crushed Pebbles, tons 0 0 0 0 0 0 4.8372508563 1.99201302503 1.3705075397Internal Feed, tons 8.7291247458 22.289890199 33.36323864 52.760772443 11.962617497 2.39145765631 8.8347312878 4.18667558705 3.3393140975To the Grate, tons 7.8416336077 21.157759149 31.661343636 49.318813356 12.048268817 2.52281884836 6.4522047054 3.85355273167 3.5381552998Internal Recycle, tons 7.8416336077 21.157759149 31.661343636 49.318813356 7.580695589 1.36811013237 3.0197221947 1.6919522902 1.485170643Mill Discharge, tons 0 0 0 0 4.4675732281 1.15470871599 3.4324825107 2.16160044147 2.0529846568 Actual 0 0 0 0 4.4675732281 1.15470871599 3.4324825107 2.16160044147 2.0529846568To the Crusher, tons 0 0 0 0 4.4675732281 1.15470871599 3.4324825107 0.85478105256 0.4460064708SAG Product, tons 0 0 0 0 0 0 0 1.30681938891 1.606978186

Iteration 29 Cummulative Energy, KWH/ton 14.5 Cummulative Time, min 15.2113309171 2 3 4 5 6 7 8 9

Make-up Feed, tons 0.8469515212 1.1324401866 1.7663188316 3.4273605595 4.3780231349 1.02227866539 0.9754774387 0.50144121428 0.4827188598Crushed Pebbles, tons 0 0 0 0 0 0 4.8349044662 1.99104676552 1.3698427519Internal Feed, tons 8.688585129 22.290199336 33.427662468 52.746173916 11.958718724 2.39038879776 8.8301040996 4.18444027 3.3377322548To the Grate, tons 7.8052156585 21.15603878 31.721239605 49.306881478 12.045242903 2.52172061832 6.4488130666 3.85150363177 3.5367245106Internal Recycle, tons 7.8052156585 21.15603878 31.721239605 49.306881478 7.5787917027 1.36751456854 3.0181348603 1.69105260632 1.4845700571Mill Discharge, tons 0 0 0 0 4.4664512003 1.15420604977 3.4306782063 2.16045102545 2.0521544535 Actual 0 0 0 0 4.4664512003 1.15420604977 3.4306782063 2.16045102545 2.0521544535To the Crusher, tons 0 0 0 0 4.4664512003 1.15420604977 3.4306782063 0.85432652867 0.4458261109SAG Product, tons 0 0 0 0 0 0 0 1.30612449678 1.6063283425

Iteration 30 Cummulative Energy, KWH/ton 15 Cummulative Time, min 15.7164947131 2 3 4 5 6 7 8 9

Make-up Feed, tons 0.8467119858 1.1321199091 1.7658192801 3.4263912311 4.3767849394 1.02198954384 0.9752015535 0.50129939633 0.482582337Crushed Pebbles, tons 0 0 0 0 0 0 4.8329973742 1.99026141198 1.3693024277Internal Feed, tons 8.6519276443 22.288158689 33.487058885 52.733272709 11.955576642 2.38950411239 8.8263337879 4.18261341463 3.3364548217To the Grate, tons 7.7722851446 21.152325822 31.776417148 49.296363683 12.042823362 2.5208012524 6.4460274098 3.84980914735 3.5355726329Internal Recycle, tons 7.7722851446 21.152325822 31.776417148 49.296363683 7.5772693427 1.3670160017 3.0168311338 1.69030862097 1.4840865467

Page 88: SAGSim Recycle

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1.812923263 1.5200710096 1.4196767458 1.2005108193 1.36649865276 1.204283067 1.198456332 1.07924620761 0.96931170711 0.85023613931.812923263 1.5200710096 1.4196767458 1.2005108193 1.36649865276 1.204283067 1.198456332 1.07924620761 0.96931170711 0.85023613930.260458913 0.1756691429 0.1497379892 0.1225117605 0.13758726909 0.1207371659 0.1199537495 0.10795922399 0.09694210175 0.0850269976

1.55246435 1.3444018668 1.2699387566 1.0779990588 1.22891138367 1.0835459011 1.0785025825 0.97128698362 0.87236960535 0.7652091417

10 11 12 13 14 15 16 17 18 190.399117518 0.3567704517 0.3234853826 0.2780542645 0.28487099954 0.2356014589 0.2303337225 0.20894056434 0.19275878241 0.17489575240.821950659 0.5721561177 0.4302068183 0.3225709137 0.29620460301 0.2233916704 0.2018937749 0.17021664866 0.14676416201 0.12496057342.480967282 1.963604546 1.7099940854 1.4052837397 1.49444144596 1.2629305278 1.2317348426 1.09889705521 0.9858392099 0.86672792713.071427307 2.5536529323 2.3749961306 2.0043292534 2.27877407637 2.0071734016 1.9968871558 1.79800165118 1.61473754208 1.41632431451.259327111 1.0342340728 0.9559064406 0.8043214251 0.91292899631 0.8035182345 0.7990765632 0.71934600318 0.64596005742 0.56655821511.812100197 1.5194188595 1.4190896901 1.2000078283 1.36584508006 1.2036551671 1.1978105926 1.078655648 0.96877748467 0.84976609941.812100197 1.5194188595 1.4190896901 1.2000078283 1.36584508006 1.2036551671 1.1978105926 1.078655648 0.96877748467 0.84976609940.260340664 0.1755937762 0.1496760705 0.1224604304 0.13752146348 0.1206742149 0.1198891173 0.10790014909 0.09688867348 0.08497999171.551759532 1.3438250832 1.2694136196 1.0775473979 1.22832361658 1.0829809522 1.0779214753 0.9707554989 0.87188881118 0.7647861077

10 11 12 13 14 15 16 17 18 190.398979133 0.3566467494 0.3233732212 0.2779578553 0.28477222685 0.2355197693 0.2302538594 0.20886811884 0.19269194758 0.17483511110.821551958 0.5718785837 0.4299981392 0.3224144452 0.29606092397 0.2232833105 0.2017958429 0.17013408221 0.14669297158 0.12489995922.479858202 1.9627594059 1.709277801 1.4046937256 1.49376214712 1.2623213143 1.2311262655 1.09834820422 0.98534497658 0.86629328543.070303878 2.5527702098 2.374205652 2.0036521358 2.27789377123 2.0063271635 1.996018412 1.7972077889 1.61401977549 1.4156930261.258866489 1.0338765686 0.9555882827 0.8040497031 0.91257632594 0.8031794657 0.7987289257 0.71902839409 0.64567292187 0.5663056871.811437388 1.5188936412 1.4186173693 1.1996024326 1.36531744528 1.2031476978 1.1972894863 1.0781793948 0.96834685362 0.8493873391.811437388 1.5188936412 1.4186173693 1.1996024326 1.36531744528 1.2031476978 1.1972894863 1.0781793948 0.96834685362 0.849387339

0.26024544 0.1755330786 0.1496262533 0.1224190599 0.13746833805 0.1206233378 0.1198369597 0.10785250851 0.09684560552 0.08494211421.551191948 1.3433605625 1.268991116 1.0771833727 1.22784910723 1.08252436 1.0774525266 0.9703268863 0.8715012481 0.7644452248

10 11 12 13 14 15 16 17 18 190.398866294 0.3565458824 0.3232817646 0.2778792431 0.28469168737 0.2354531595 0.2301887388 0.20880904661 0.19263745032 0.17478566420.821227903 0.5716530105 0.4298285297 0.3222872712 0.29594414495 0.223195238 0.2017162461 0.17006697409 0.14663510963 0.12485069342.478960686 1.9620754614 1.708698577 1.4042162175 1.49321215826 1.2618278632 1.2306339106 1.0979044148 0.98494548181 0.8659420445

3.06939533 2.5520564693 2.3735673949 2.0031044289 2.27718017003 2.0056401106 1.9953140704 1.79656457452 1.61343846755 1.41518194091.258493972 1.0335875024 0.9553313922 0.8038299127 0.91229044099 0.8029044224 0.7984470756 0.71877105635 0.64544037528 0.5661012427

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0.733223622 0.6403379946 0.5495040573 0.4741645349 0.3898589505 2.3249077545 31.0092 9.0590 21.95020.733223622 0.6403379946 0.5495040573 0.4741645349 0.3898589505 2.3249077545 31.0092 9.0590 21.9502

0.0733233958 0.064034118 0.0549505026 0.047416483 0.038985904 0.2324907754 12.2483 9.0590 3.18940.6599002262 0.5763038766 0.4945535548 0.4267480519 0.3508730465 2.092416979 18.7609 0.0000 18.7609

Deficit 0.0085

20 21 22 23 24 250.1582089561 0.143758617 0.1293759535 0.1170158489 0.1010607465 0.8721206921 18.7444 13.5535 5.19090.1064719609 0.0914003684 0.0779101525 0.0668955287 0.0550040772 0.3405600112 12.2483 4.8373 7.41110.7535171755 0.6620599266 0.573625987 0.5000227235 0.4159714906 2.7626192063 168.0261 140.3318 27.69421.2213828006 1.0666438801 0.9153295037 0.7898286521 0.6493956864 3.8726248857 168.0261 131.0028 37.02320.4885654197 0.426662916 0.3661341059 0.3159324538 0.2597586942 1.5490499543 137.0325 121.9481 15.08440.7328173809 0.6399809641 0.5491953979 0.4738961983 0.3896369921 2.3235749314 30.9936 9.0548 21.93880.7328173809 0.6399809641 0.5491953979 0.4738961983 0.3896369921 2.3235749314 30.9936 9.0548 21.93880.0732827711 0.0639984148 0.0549196366 0.0473896493 0.0389637081 0.2323574931 12.2424 9.0548 3.18760.6595346098 0.5759825493 0.4942757613 0.426506549 0.350673284 2.0912174383 18.7512 0.0000 18.7512

Deficit 0.0068

20 21 22 23 24 250.1581541006 0.1437087719 0.1293310952 0.1169752763 0.1010257059 0.8718183036 18.7379 13.5489 5.18910.1064203149 0.0913560331 0.0778723608 0.0668630799 0.0549773966 0.3403948169 12.2424 4.8349 7.40750.7531398352 0.661727721 0.573337562 0.49977081 0.4157617967 2.7612630748 168.0128 140.3318 27.68101.2208373018 1.0661645368 0.9149151401 0.7894684647 0.649097782 3.8708358329 168.0128 131.0052 37.00760.4883472147 0.4264711762 0.3659683594 0.3157883784 0.2596395323 1.5483343332 137.0319 121.9538 15.07800.7324900871 0.6396933605 0.5489467807 0.4736800863 0.3894582497 2.3225014997 30.9809 9.0513 21.92960.7324900871 0.6396933605 0.5489467807 0.4736800863 0.3894582497 2.3225014997 30.9809 9.0513 21.92960.0732500413 0.0639696543 0.0548947748 0.0473680381 0.0389458339 0.23225015 12.2376 9.0513 3.18620.6592400459 0.5757237063 0.4940520059 0.4263120482 0.3505124158 2.0902513498 18.7434 0.0000 18.7434

Deficit 0.0054

20 21 22 23 24 250.1581093714 0.1436681281 0.1292945177 0.1169421932 0.1009971338 0.8715717354 18.7326 13.5450 5.18760.1063783382 0.0913199984 0.0778416447 0.0668367063 0.0549557111 0.3402605507 12.2376 4.8330 7.40460.7528349243 0.6614593027 0.5731045218 0.4995672779 0.4155923772 2.7601666192 168.0020 140.3318 27.67021.2203957513 1.0657765913 0.9145798079 0.789177006 0.6488567424 3.8693880858 168.0020 131.0070 36.9950

0.48817059 0.4263159961 0.3658342257 0.3156717946 0.2595431163 1.5477552343 137.0314 121.9585 15.0729

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Mill Discharge, tons 0 0 0 0 4.4655540195 1.1537852507 3.4291962759 2.15950052638 2.0514860862 Actual 0 0 0 0 4.4655540195 1.1537852507 3.4291962759 2.15950052638 2.0514860862To the Crusher, tons 0 0 0 0 4.4655540195 1.1537852507 3.4291962759 0.8539506643 0.4456809096SAG Product, tons 0 0 0 0 0 0 0 1.30554986208 1.6058051766

Iteration 31 Cummulative Energy, KWH/ton 15.5 Cummulative Time, min 16.2216322121 2 3 4 5 6 7 8 9

Make-up Feed, tons 0.8465159833 1.1318578385 1.7654105165 3.4255980673 4.3757717722 1.02175296693 0.9749758073 0.50118335222 0.4824706256Crushed Pebbles, tons 0 0 0 0 0 0 4.8314412411 1.98962058574 1.3688615384Internal Feed, tons 8.6188011279 22.284183661 33.541827665 52.72196175 11.953041115 2.38876896863 8.8232481823 4.18111255893 3.3354187107To the Grate, tons 7.742526605 21.14698913 31.827256 49.287175758 12.040892369 2.52002909957 6.4437291765 3.84839931731 3.5346412069Internal Recycle, tons 7.742526605 21.14698913 31.827256 49.287175758 7.5760543741 1.36659726766 3.0157555285 1.68968961681 1.4836955727Mill Discharge, tons 0 0 0 0 4.4648379953 1.1534318319 3.427973648 2.1587097005 2.0509456341 Actual 0 0 0 0 4.4648379953 1.1534318319 3.427973648 2.1587097005 2.0509456341To the Crusher, tons 0 0 0 0 4.4648379953 1.1534318319 3.427973648 0.85363794093 0.4455634975SAG Product, tons 0 0 0 0 0 0 0 1.30507175957 1.6053821366

Iteration 32 Cummulative Energy, KWH/ton 16 Cummulative Time, min 16.7267482321 2 3 4 5 6 7 8 9

Make-up Feed, tons 0.8463551699 1.1316428184 1.7650751398 3.4249473032 4.3749405027 1.02155886355 0.9747905903 0.50108814195 0.4823789702Crushed Pebbles, tons 0 0 0 0 0 0 4.8301674187 1.98909601694 1.3685006344Internal Feed, tons 8.5888817749 22.278631949 33.592331139 52.712123061 11.950994877 2.38815613122 8.8207135375 4.1798737757 3.3345751773To the Grate, tons 7.7156491561 21.140345258 31.874099899 49.279221993 12.039357266 2.51937896722 6.4418258487 3.84721978296 3.5338851525Internal Recycle, tons 7.7156491561 21.140345258 31.874099899 49.279221993 7.5750884964 1.36624470464 3.0148647444 1.68917172696 1.4833782125Mill Discharge, tons 0 0 0 0 4.4642687693 1.15313426258 3.4269611043 2.158048056 2.05050694 Actual 0 0 0 0 4.4642687693 1.15313426258 3.4269611043 2.158048056 2.05050694To the Crusher, tons 0 0 0 0 4.4642687693 1.15313426258 3.4269611043 0.85337630091 0.4454681922SAG Product, tons 0 0 0 0 0 0 0 1.30467175509 1.6050387478

Iteration 33 Cummulative Energy, KWH/ton 16.5 Cummulative Time, min 17.2318466551 2 3 4 5 6 7 8 9

Make-up Feed, tons 0.8462229956 1.131466091 1.76479949 3.4244124331 4.3742572732 1.02139932786 0.9746383583 0.50100988758 0.4823036376Crushed Pebbles, tons 0 0 0 0 0 0 4.8291222485 1.98866560867 1.368204513Internal Feed, tons 8.5618721516 22.271811349 33.638899389 52.703634426 11.94934577 2.3876440325 8.8186253512 4.17884722321 3.3338863631To the Grate, tons 7.6913856044 21.132665668 31.917261597 49.272401495 12.038144703 2.51883064887 6.440244773 3.84622804993 3.5332695348Internal Recycle, tons 7.6913856044 21.132665668 31.917261597 49.272401495 7.5743255595 1.36594735476 3.0141247788 1.68873629371 1.4831198018

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1.810901358 1.5184689669 1.4182360027 1.1992745162 1.36488972904 1.2027356882 1.1968669948 1.07779351817 0.96799809227 0.84908069821.810901358 1.5184689669 1.4182360027 1.1992745162 1.36488972904 1.2027356882 1.1968669948 1.07779351817 0.96799809227 0.8490806982

0.26016843 0.1754840006 0.1495860293 0.1223855961 0.13742527302 0.1205820312 0.1197946724 0.10781390847 0.09681072546 0.08491144891.550732928 1.3429849663 1.2686499734 1.07688892 1.22746445602 1.082153657 1.0770723224 0.9699796097 0.87118736682 0.7641692494

10 11 12 13 14 15 16 17 18 190.398773961 0.3564633468 0.3232069292 0.2778149178 0.28462578505 0.2353986552 0.2301354532 0.20876071011 0.19259285732 0.17474520360.820963484 0.5714689491 0.4296901331 0.3221835009 0.29584885657 0.2231233734 0.2016512973 0.17001221577 0.14658789592 0.12481049382.478231417 1.9615197982 1.7082284544 1.4038283314 1.49276508261 1.2614264511 1.2302338261 1.09754398222 0.98462112852 0.86565694013.068657876 2.5514774517 2.3730505872 2.0026601295 2.27659970612 2.0050800807 1.9947406719 1.7960412544 1.61296571236 1.41476644961.258191606 1.0333529992 0.9551233835 0.8036516189 0.91205789387 0.8026802294 0.7982176239 0.718561686 0.64525125416 0.5659350378

1.81046627 1.5181244525 1.4179272037 1.1990085106 1.36454181224 1.2023998513 1.196523048 1.0774795684 0.9677144582 0.84883141181.81046627 1.5181244525 1.4179272037 1.1990085106 1.36454181224 1.2023998513 1.196523048 1.0774795684 0.9677144582 0.8488314118

0.260105922 0.1754441863 0.1495534592 0.1223584504 0.13739024267 0.1205483613 0.1197602467 0.10778250343 0.09678235885 0.08488651921.550360348 1.3426802662 1.2683737444 1.0766500602 1.22715156957 1.0818514899 1.0767628013 0.96969706497 0.87093209935 0.7639448926

10 11 12 13 14 15 16 17 18 190.398698206 0.3563956291 0.3231455292 0.277762141 0.28457171442 0.2353539363 0.2300917341 0.20872105164 0.19255627027 0.17471200710.820747034 0.5713182798 0.4295768441 0.3220985563 0.29577085523 0.2230645463 0.2015981314 0.16996739159 0.14654924763 0.12477758722.477636846 1.9610669081 1.7078457569 1.4035123162 1.49240046352 1.2610987121 1.2299074894 1.09725012923 0.98435677206 0.86542463213.068057558 2.5510065559 2.3726313114 2.0022990047 2.27612628713 2.0046221033 1.9942722758 1.79561399961 1.61257989446 1.41442749341.257945467 1.0331622856 0.9549546302 0.8035067024 0.9118682314 0.8024968904 0.79803019 0.71839074954 0.64509691146 0.5657994485

1.81011209 1.5178442703 1.4176766812 1.1987923023 1.36425805573 1.2021252129 1.1962420858 1.07722325006 0.967482983 0.84862804491.81011209 1.5178442703 1.4176766812 1.1987923023 1.36425805573 1.2021252129 1.1962420858 1.07722325006 0.967482983 0.8486280449

0.260055037 0.1754118066 0.1495270358 0.1223363864 0.13736167236 0.1205208271 0.1197321251 0.10775686338 0.09675920872 0.08486618171.550057053 1.3424324637 1.2681496454 1.0764559159 1.22689638336 1.0816043858 1.0765099607 0.96946638669 0.87072377428 0.7637618632

10 11 12 13 14 15 16 17 18 190.398635942 0.3563399712 0.323095064 0.2777187632 0.28452727318 0.2353171814 0.230055801 0.20868845591 0.19252619898 0.17468472250.820569438 0.5711946557 0.4294838906 0.3220288594 0.29570685519 0.2230162788 0.2015545088 0.16993061339 0.14651753673 0.12475058732.477150847 1.9606969124 1.7075335848 1.403254325 1.49210235977 1.2608303505 1.2296404997 1.09700981884 0.98414064717 0.86523475833.067567895 2.5506230085 2.3722908701 2.0020052187 2.27573951223 2.0042466799 1.9938886582 1.79526424442 1.6122641788 1.41415023181.257744699 1.0330069482 0.9548176068 0.8033888084 0.91171328053 0.8023465997 0.7978766811 0.7182508192 0.64497061248 0.5656885383

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0.7322251613 0.6394605952 0.5487455823 0.4735052115 0.3893136261 2.3216328515 30.9707 9.0485 21.92210.7322251613 0.6394605952 0.5487455823 0.4735052115 0.3893136261 2.3216328515 30.9707 9.0485 21.92210.0732235483 0.0639463776 0.0548746549 0.0473505506 0.0389313715 0.2321632851 12.2336 9.0485 3.1851

0.659001613 0.5755142176 0.4938709274 0.4261546609 0.3503822546 2.0894695663 18.7370 0.0000 18.7370Deficit 0.0044

20 21 22 23 24 250.1580727712 0.1436348708 0.1292645878 0.1169151227 0.1009737543 0.8713699782 18.7283 13.5419 5.18640.1063440864 0.0912905951 0.0778165811 0.0668151861 0.0549380164 0.3401509933 12.2336 4.8314 7.40220.7525874476 0.661241462 0.5729153946 0.4994021034 0.415454887 2.7592762058 167.9933 140.3318 27.6615

1.220036856 1.0654613095 0.9143072983 0.7889401698 0.6486608894 3.868211547 167.9933 131.0086 36.98470.4880270283 0.4261898818 0.3657252211 0.3155770598 0.259464775 1.5472846188 137.0310 121.9624 15.06870.7320098277 0.6392714277 0.5485820772 0.47336311 0.3891961144 2.3209269282 30.9623 9.0462 21.91600.7320098277 0.6392714277 0.5485820772 0.47336311 0.3891961144 2.3209269282 30.9623 9.0462 21.91600.0732020146 0.0639274608 0.0548583044 0.0473363404 0.0389196204 0.2320926928 12.2304 9.0462 3.18420.6588078131 0.5753439669 0.4937237728 0.4260267696 0.3502764941 2.0888342354 18.7319 0.0000 18.7319

Deficit 0.0036

20 21 22 23 24 250.1580427419 0.1436075844 0.1292400313 0.1168929122 0.1009545722 0.8712044432 18.7247 13.5393 5.18540.1063160485 0.0912665261 0.0777960646 0.0667975701 0.0549235319 0.3400613115 12.2304 4.8302 7.40020.7523858187 0.6610639922 0.572761317 0.4992675421 0.4153428791 2.7585503735 167.9862 140.3318 27.65431.2197441272 1.065204186 0.9140850626 0.7887470371 0.6485011846 3.8672519663 167.9862 131.0099 36.97630.4879099338 0.4260870311 0.3656363263 0.3154998065 0.2594008929 1.5469007865 137.0308 121.9655 15.06520.7318341934 0.6391171549 0.5484487363 0.4732472307 0.3891002916 2.3203511798 30.9554 9.0444 21.91100.7318341934 0.6391171549 0.5484487363 0.4732472307 0.3891002916 2.3203511798 30.9554 9.0444 21.9110

0.073184451 0.0639120334 0.0548449703 0.0473247525 0.0389100381 0.232035118 12.2277 9.0444 3.18340.6586497424 0.5752051215 0.493603766 0.4259224782 0.3501902536 2.0883160618 18.7277 0.0000 18.7277

Deficit 0.0029

20 21 22 23 24 250.1580180606 0.1435851573 0.129219848 0.1168746572 0.1009388062 0.8710683882 18.7218 13.5372 5.18460.1062930434 0.0912467775 0.0777792308 0.0667831162 0.0549116473 0.3399877278 12.2277 4.8291 7.39860.7522210378 0.6609189659 0.5726354051 0.4991575798 0.4152513465 2.7579569025 167.9803 140.3318 27.64851.2195047267 1.0649939284 0.9139033331 0.7885891101 0.6483705947 3.8664671309 167.9803 131.0109 36.96940.4878141712 0.426002927 0.365563634 0.3154366355 0.2593486569 1.5465868524 137.0305 121.9681 15.0624

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Mill Discharge, tons 0 0 0 0 4.4638191434 1.15288329412 3.4261199942 2.15749175621 2.050149733 Actual 0 0 0 0 4.4638191434 1.15288329412 3.4261199942 2.15749175621 2.050149733To the Crusher, tons 0 0 0 0 4.4638191434 1.15288329412 3.4261199942 0.85315631829 0.4453905898SAG Product, tons 0 0 0 0 0 0 0 1.30433543792 1.6047591433

Iteration 34 Cummulative Energy, KWH/ton 17 Cummulative Time, min 17.7369306321 2 3 4 5 6 7 8 9

Make-up Feed, tons 0.846114284 1.1313207352 1.7645727719 3.4239725099 4.3736953265 1.021268112 0.9745131497 0.50094552447 0.4822416776Crushed Pebbles, tons 0 0 0 0 0 0 4.8282635214 1.98831197899 1.3679612153Internal Feed, tons 8.5374998885 22.263986404 33.681834369 52.696374005 11.948020886 2.38721546676 8.8169014499 4.17799379716 3.3333226947To the Grate, tons 7.6694912721 21.124182845 31.957026839 49.266612579 12.037196217 2.51836780808 6.4389285067 3.84539067516 3.5327671313Internal Recycle, tons 7.6694912721 21.124182845 31.957026839 49.266612579 7.5737287781 1.36569635886 3.0135087477 1.68836863346 1.4829089137Mill Discharge, tons 0 0 0 0 4.463467439 1.15267144922 3.4254197589 2.15702204169 2.0498582177 Actual 0 0 0 0 4.463467439 1.15267144922 3.4254197589 2.15702204169 2.0498582177To the Crusher, tons 0 0 0 0 4.463467439 1.15267144922 3.4254197589 0.85297057487 0.4453272587SAG Product, tons 0 0 0 0 0 0 0 1.30405146683 1.604530959

Iteration 35 Cummulative Energy, KWH/ton 17.5 Cummulative Time, min 18.2420027361 2 3 4 5 6 7 8 9

Make-up Feed, tons 0.8460249154 1.1312012424 1.7643863935 3.4236108616 4.3732333662 1.02116024318 0.9744102192 0.50089261338 0.4821907421Crushed Pebbles, tons 0 0 0 0 0 0 4.8275578078 1.98802136131 1.3677612699Internal Feed, tons 8.5155161875 22.255384088 33.721413232 52.690223441 11.946962144 2.38685660204 8.8154767748 4.17728260815 3.3328609257To the Grate, tons 7.6497426566 21.115095511 31.993657571 49.261755754 12.036464876 2.51797713026 6.437831303 3.84468114717 3.5323566015Internal Recycle, tons 7.6497426566 21.115095511 31.993657571 49.261755754 7.5732686225 1.36548449653 3.012995241 1.688057106 1.4827365903Mill Discharge, tons 0 0 0 0 4.463196253 1.15249263373 3.4248360619 2.15662404117 2.0496200112 Actual 0 0 0 0 4.463196253 1.15249263373 3.4248360619 2.15662404117 2.0496200112To the Crusher, tons 0 0 0 0 4.463196253 1.15249263373 3.4248360619 0.85281318995 0.4452755088SAG Product, tons 0 0 0 0 0 0 0 1.30381085122 1.6043445024

Iteration 36 Cummulative Energy, KWH/ton 18 Cummulative Time, min 18.7470650811 2 3 4 5 6 7 8 9

Make-up Feed, tons 0.845951586 1.1311031952 1.7642334648 3.4233141193 4.3728543151 1.02107173385 0.974325762 0.50084919839 0.4821489481Crushed Pebbles, tons 0 0 0 0 0 0 4.8269784397 1.98778277356 1.3675971212Internal Feed, tons 8.4956942426 22.246198706 33.757891036 52.685069873 11.946122938 2.38655623038 8.8142994428 4.17668907794 3.3324826596To the Grate, tons 7.6319360111 21.105573101 32.027394569 49.257735686 12.035912729 2.51764767594 6.4369164521 3.84407828602 3.5320211064Internal Recycle, tons 7.6319360111 21.105573101 32.027394569 49.257735686 7.5729212155 1.36530583535 3.012567078 1.68779241199 1.4825957634

Page 94: SAGSim Recycle

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1.809823196 1.5176160603 1.4174732633 1.1986164103 1.36402623169 1.2019000802 1.1960119771 1.07701342523 0.96729356632 0.84846169351.809823196 1.5176160603 1.4174732633 1.1986164103 1.36402623169 1.2019000802 1.1960119771 1.07701342523 0.96729356632 0.84846169350.260013532 0.1753854332 0.1495055806 0.1223184366 0.13733833093 0.1204982561 0.1197090935 0.10773587416 0.09674026492 0.08484954591.549809664 1.3422306271 1.2679676826 1.0762979736 1.22668790076 1.0814018242 1.0763028835 0.96927755106 0.87055330141 0.7636121476

10 11 12 13 14 15 16 17 18 190.39858473 0.3562941933 0.323053557 0.2776830856 0.28449072088 0.2352869509 0.2300262465 0.20866164638 0.19250146576 0.1746622813

0.820423522 0.5710930844 0.4294075187 0.3219715954 0.29565427183 0.2229766214 0.2015186678 0.16990039589 0.14649148261 0.12472840392.476752952 1.9603942259 1.7072786825 1.4030434893 1.49185827325 1.2606101721 1.2294215954 1.09681286147 0.98396356085 0.86507922353.067168111 2.5503104865 2.3720145548 2.0017662977 2.2754233293 2.0039384895 1.9935739548 1.79497743583 1.61200537416 1.41392303931.257580782 1.0328803762 0.9547063933 0.8032929313 0.91158661042 0.8022232239 0.7977507491 0.71813607258 0.6448670802 0.56559765671.809587329 1.5174301103 1.4173081614 1.1984733664 1.36383671887 1.2017152656 1.1958232058 1.07684136326 0.96713829396 0.84832538261.809587329 1.5174301103 1.4173081614 1.1984733664 1.36383671887 1.2017152656 1.1958232058 1.07684136326 0.96713829396 0.84832538260.259979646 0.1753639436 0.1494881668 0.1223038391 0.13731924965 0.1204797272 0.1196901994 0.10771866245 0.09672473593 0.08483591431.549607683 1.3420661667 1.2678199946 1.0761695273 1.22651746923 1.0812355384 1.0761330064 0.96912270081 0.87041355803 0.7634894683

10 11 12 13 14 15 16 17 18 190.398542631 0.3562565607 0.3230194353 0.277653756 0.28446067228 0.2352620994 0.2300019505 0.20863960703 0.19248113329 0.17464383310.820303607 0.5710096117 0.4293447552 0.321924535 0.29561105811 0.2229440305 0.2014892133 0.16987556273 0.14647007097 0.12471017322.476427019 1.9601465486 1.7070705838 1.4028712223 1.49165834081 1.2604293537 1.2292419129 1.09665124234 0.98381828446 0.8649516633.066841793 2.5500560777 2.3717907167 2.0015723491 2.27516502193 2.0036854115 1.9933156392 1.79474209118 1.61179307682 1.41373674931.257446987 1.0327773402 0.9546163013 0.8032151013 0.91148312658 0.8021219109 0.7976473812 0.71804191569 0.64478215271 0.5655231371.809394806 1.5172787375 1.4171744154 1.1983572479 1.36368189534 1.2015635006 1.195668258 1.07670017549 0.96701092411 0.84821361231.809394806 1.5172787375 1.4171744154 1.1983572479 1.36368189534 1.2015635006 1.195668258 1.07670017549 0.96701092411 0.84821361230.259951987 0.17534645 0.1494740602 0.1222919892 0.13730366109 0.1204645118 0.1196746906 0.10770453915 0.09671199751 0.08482473681.549442819 1.3419322875 1.2677003552 1.0760652587 1.22637823426 1.0810989888 1.0759935674 0.96899563634 0.8702989266 0.7633888755

10 11 12 13 14 15 16 17 18 190.398508087 0.356225682 0.3229914375 0.2776296903 0.28443601658 0.2352417079 0.2299820151 0.20862152314 0.19246444994 0.1746286958

0.82020516 0.5709410833 0.4292932284 0.3218859 0.29557558104 0.2229172744 0.201465032 0.16985517551 0.1464524927 0.12469520642.476160234 1.9599441055 1.7069009671 1.4027306916 1.4914947242 1.2602808932 1.2290944282 1.09651861434 0.98369909535 0.86484703913.066575891 2.5498494957 2.3716100649 2.0014154711 2.27495444387 2.0034777889 1.9931037498 1.79454908679 1.61161902413 1.41358408361.257337964 1.0326936741 0.9545435912 0.8031521474 0.9113987642 0.8020387947 0.7975625913 0.71796469833 0.64471252462 0.5654620676

Page 95: SAGSim Recycle

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Page 95

0.7316905555 0.6389910014 0.5483396991 0.4731524747 0.3890219378 2.3198802786 30.9498 9.0428 21.90700.7316905555 0.6389910014 0.5483396991 0.4731524747 0.3890219378 2.3198802786 30.9498 9.0428 21.9070

0.073170087 0.063899418 0.0548340665 0.0473152769 0.0389022027 0.2319880279 12.2256 9.0428 3.18280.6585204685 0.5750915834 0.4935056325 0.4258371978 0.3501197351 2.0878922507 18.7242 0.0000 18.7242

Deficit 0.0024

20 21 22 23 24 250.1579977605 0.1435667114 0.1292032475 0.1168596427 0.100925839 0.8709564849 18.7194 13.5355 5.18390.1062741421 0.0912305517 0.0777653999 0.0667712407 0.0549018828 0.3399272703 12.2256 4.8283 7.39730.7520860739 0.6608001901 0.5725322814 0.4990675188 0.4151763786 2.7574706075 167.9755 140.3318 27.64371.2193085988 1.0648216927 0.9137544612 0.7884597358 0.6482636141 3.8658239987 167.9755 131.0118 36.96370.4877357181 0.4259340319 0.3655040849 0.3153848856 0.2593058646 1.5463295995 137.0303 121.9702 15.06010.7315728808 0.6388876608 0.5482503763 0.4730748502 0.3889577495 2.3194943992 30.9452 9.0416 21.90360.7315728808 0.6388876608 0.5482503763 0.4730748502 0.3889577495 2.3194943992 30.9452 9.0416 21.90360.0731583193 0.0638890839 0.0548251342 0.0473075144 0.0388957839 0.2319494399 12.2238 9.0416 3.18220.6584145614 0.5749985769 0.4934252421 0.4257673358 0.3500619656 2.0875449593 18.7214 0.0000 18.7214

Deficit 0.0020

20 21 22 23 24 250.1579810724 0.1435515476 0.1291896008 0.1168472997 0.1009151789 0.8708644923 18.7174 13.5340 5.18340.1062586088 0.0912172172 0.0777540335 0.0667614812 0.0548938582 0.3398775855 12.2238 4.8276 7.39620.7519753993 0.6607027966 0.5724477191 0.4989936664 0.4151149017 2.7570716773 167.9715 140.3318 27.63971.2191478155 1.0646805078 0.9136324189 0.7883536717 0.6481759052 3.8652965387 167.9715 131.0125 36.95900.4876714031 0.4258775572 0.3654552677 0.3153424598 0.259270781 1.5461186155 137.0302 121.9720 15.05820.7314764124 0.6388029506 0.5481771512 0.4730112119 0.3889051242 2.3191779232 30.9414 9.0405 21.90080.7314764124 0.6388029506 0.5481771512 0.4730112119 0.3889051242 2.3191779232 30.9414 9.0405 21.90080.0731486724 0.0638806128 0.0548178117 0.0473011506 0.0388905213 0.2319177923 12.2223 9.0405 3.1818

0.65832774 0.5749223378 0.4933593395 0.4257100613 0.3500146029 2.0872601309 18.7190 0.0000 18.7190Deficit 0.0016

20 21 22 23 24 250.1579673794 0.1435391052 0.1291784032 0.1168371719 0.1009064321 0.8707890099 18.7158 13.5329 5.18290.1062458564 0.09120627 0.077744702 0.0667534689 0.0548872702 0.3398367958 12.2223 4.8270 7.39530.7518846389 0.6606229323 0.5723783729 0.4989331006 0.4150644833 2.7567444212 167.9683 140.3318 27.6365

1.219016083 1.0645648402 0.9135324221 0.7882667582 0.648104027 3.8648641011 167.9683 131.0131 36.95520.4876187088 0.4258312896 0.3654152687 0.3153076943 0.2592420297 1.5459456404 137.0300 121.9734 15.0566

Page 96: SAGSim Recycle

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Page 96

Mill Discharge, tons 0 0 0 0 4.4629915137 1.15234184059 3.4243493741 2.15628587402 2.049425343 Actual 0 0 0 0 4.4629915137 1.15234184059 3.4243493741 2.15628587402 2.049425343To the Crusher, tons 0 0 0 0 4.4629915137 1.15234184059 3.4243493741 0.85267946548 0.4452332176SAG Product, tons 0 0 0 0 0 0 0 1.30360640854 1.6041921254

Iteration 37 Cummulative Energy, KWH/ton 18.5 Cummulative Time, min 19.2521194171 2 3 4 5 6 7 8 9

Make-up Feed, tons 0.8458916263 1.1310230245 1.7641084189 3.4230714804 4.3725443743 1.02099936196 0.9742567034 0.50081369901 0.4821147742Crushed Pebbles, tons 0 0 0 0 0 0 4.8265039829 1.98758738898 1.3674626964Internal Feed, tons 8.4778276374 22.236596126 33.791502988 52.680807167 11.94546559 2.38630519731 8.8133277643 4.17619349999 3.3321732339To the Grate, tons 7.6158859059 21.095759616 32.058459605 49.25446242 12.035508872 2.51737038581 6.4361542647 3.84356503317 3.5317472671Internal Recycle, tons 7.6158859059 21.095759616 32.058459605 49.25446242 7.5726671109 1.36515546251 3.0122103636 1.68756706168 1.482480817Mill Discharge, tons 0 0 0 0 4.4628417608 1.1522149233 3.4239439011 2.15599797149 2.0492664501 Actual 0 0 0 0 4.4628417608 1.1522149233 3.4239439011 2.15599797149 2.0492664501To the Crusher, tons 0 0 0 0 4.4628417608 1.1522149233 3.4239439011 0.8525656176 0.4451986985SAG Product, tons 0 0 0 0 0 0 0 1.30343235389 1.6040677517

Iteration 38 Cummulative Energy, KWH/ton 19 Cummulative Time, min 19.7571671971 2 3 4 5 6 7 8 9

Make-up Feed, tons 0.8458428627 1.1309578237 1.7640067222 3.4228741484 4.3722923075 1.02094050378 0.9742005398 0.5007848283 0.4820869814Crushed Pebbles, tons 0 0 0 0 0 0 4.8261170772 1.98742805858 1.3673530769Internal Feed, tons 8.4617287685 22.226717439 33.822466327 52.677336569 11.944959418 2.38609596628 8.8125279806 4.17577994856 3.3319208753To the Grate, tons 7.6014238108 21.085776954 32.087057275 49.251852069 12.035227955 2.51713770037 6.4355205387 3.84312753413 3.5315243763Internal Recycle, tons 7.6014238108 21.085776954 32.087057275 49.251852069 7.57249036 1.36502927853 3.011913771 1.68737497205 1.4823872567Mill Discharge, tons 0 0 0 0 4.4627375952 1.15210842184 3.4236067677 2.15575256208 2.0491371196 Actual 0 0 0 0 4.4627375952 1.15210842184 3.4236067677 2.15575256208 2.0491371196To the Crusher, tons 0 0 0 0 4.4627375952 1.15210842184 3.4236067677 0.85246857316 0.4451706017SAG Product, tons 0 0 0 0 0 0 0 1.30328398892 1.6039665179

Iteration 39 Cummulative Energy, KWH/ton 19.5 Cummulative Time, min 20.2622096361 2 3 4 5 6 7 8 9

Make-up Feed, tons 0.8458035113 1.1309052079 1.763924655 3.4227149054 4.3720888946 1.02089300637 0.9741552169 0.50076153019 0.4820645532Crushed Pebbles, tons 0 0 0 0 0 0 4.8258035538 1.98729894748 1.3672642483Internal Feed, tons 8.4472273222 22.216682162 33.85098193 52.674566974 11.944579255 2.3859222849 8.8118725417 4.17543544973 3.3317160582To the Grate, tons 7.5883967282 21.075727808 32.113376553 49.249827125 12.03504905 2.5169432662 6.4349953893 3.84275444102 3.5313438006Internal Recycle, tons 7.5883967282 21.075727808 32.113376553 49.249827125 7.5723777941 1.364923838 3.0116679937 1.68721116068 1.4823114585

Page 97: SAGSim Recycle

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1.809237927 1.5171558216 1.4170664737 1.1982633238 1.36355567967 1.2014389942 1.1955411585 1.07658438845 0.96690649951 0.8481220161.809237927 1.5171558216 1.4170664737 1.1982633238 1.36355567967 1.2014389942 1.1955411585 1.07658438845 0.96690649951 0.8481220160.259929448 0.1753322451 0.1494626752 0.1222824043 0.13729095294 0.1204520292 0.1196619692 0.10769295673 0.09670155387 0.08481557681.549308479 1.3418235765 1.2676037985 1.0759809195 1.22626472673 1.080986965 1.0758791893 0.96889143172 0.87020494564 0.7633064392

10 11 12 13 14 15 16 17 18 190.398479841 0.3562004334 0.3229685444 0.2776100124 0.28441585622 0.2352250344 0.2299657143 0.20860673639 0.19245080837 0.1746163184

0.82012454 0.570884964 0.429251032 0.321854261 0.29554652811 0.2228953633 0.2014452295 0.16983847998 0.14643809749 0.12468294972.475942345 1.9597790714 1.7067631675 1.4026164207 1.49136114853 1.2601591924 1.2289735351 1.0964099147 0.98360143049 0.86476133583.066359947 2.5496824856 2.3714651345 2.0012893049 2.27478343912 2.0033078698 1.9929303067 1.79439111992 1.61147660572 1.41345922151.257249424 1.0326260347 0.9544852585 0.8031015179 0.91133025579 0.8019707721 0.7974931861 0.71790149882 0.64465555152 0.56541212021.809110523 1.5170564509 1.416979876 1.1981877871 1.36345318333 1.2013370976 1.1954371206 1.0764896211 0.9668210542 0.84804710121.809110523 1.5170564509 1.416979876 1.1981877871 1.36345318333 1.2013370976 1.1954371206 1.0764896211 0.9668210542 0.84804710120.259911144 0.1753207612 0.1494535414 0.1222746958 0.13728063299 0.1204418134 0.119651556 0.10768347696 0.09669300837 0.0848080851.549199379 1.3417356897 1.2675263345 1.0759130913 1.22617255034 1.0808952842 1.0757855646 0.96880614414 0.87012804582 0.7632390162

10 11 12 13 14 15 16 17 18 190.39845687 0.3561798992 0.322949926 0.2775940088 0.28439946032 0.2352114742 0.2299524573 0.20859471071 0.19243971404 0.1746062522

0.820058796 0.5708392003 0.429216622 0.3218284603 0.2955228363 0.2228774954 0.2014290811 0.16982486527 0.14642635861 0.12467295482.47576509 1.9596451342 1.7066518066 1.402523987 1.49125255241 1.2600597417 1.2288747245 1.09632107479 0.98352162418 0.8646913272

3.066185521 2.5495483725 2.3713498826 2.0011886951 2.27464540168 2.0031693837 1.9927888686 1.79426230094 1.61136049296 1.41335747191.257177907 1.0325717187 0.954438871 0.8030611439 0.91127495483 0.8019153329 0.7974365881 0.71784996081 0.64460910174 0.56537141841.809007614 1.5169766538 1.4169110116 1.1981275511 1.36337044685 1.2012540507 1.1953522805 1.07641234013 0.96675139122 0.84798605351.809007614 1.5169766538 1.4169110116 1.1981275511 1.36337044685 1.2012540507 1.1953522805 1.07641234013 0.96675139122 0.8479860535

0.25989636 0.1753115393 0.1494462781 0.1222685487 0.13727230259 0.1204334874 0.1196430643 0.10767574638 0.09668604129 0.084801981.549111255 1.3416651145 1.2674647335 1.0758590024 1.22609814426 1.0808205633 1.0757092162 0.96873659375 0.87006534993 0.7631840735

10 11 12 13 14 15 16 17 18 190.398438332 0.3561633286 0.3229349014 0.2775810942 0.28438622915 0.2352005314 0.2299417592 0.20858500622 0.19243076113 0.17459812890.820005522 0.5708021163 0.4291887385 0.321807553 0.29550363798 0.2228630164 0.2014159954 0.16981383278 0.14641684619 0.12466485562.475621761 1.9595371636 1.7065625109 1.4024497912 1.49116482196 1.2599788807 1.2287943428 1.09624879981 0.98345670906 0.86463440293.066045747 2.5494417187 2.371259381 2.0011094301 2.27453494017 2.0030572194 1.9926741958 1.7941578433 1.6112663574 1.41327502561.257120598 1.0325285237 0.9544024453 0.8030293355 0.91123070143 0.8018704309 0.7973907005 0.71780816931 0.64457144373 0.5653384382

Page 98: SAGSim Recycle

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0.7313973742 0.6387335506 0.5481171534 0.4729590639 0.3888619973 2.3189184607 30.9383 9.0397 21.89860.7313973742 0.6387335506 0.5481171534 0.4729590639 0.3888619973 2.3189184607 30.9383 9.0397 21.89860.0731407684 0.0638736728 0.0548118119 0.0472959358 0.0388862086 0.2318918461 12.2211 9.0397 3.18140.6582566058 0.5748598778 0.4933053415 0.4256631281 0.3499757887 2.0870266146 18.7171 0.0000 18.7171

Deficit 0.0013

20 21 22 23 24 250.1579561829 0.1435289314 0.1291692473 0.1168288907 0.10089928 0.8707272898 18.7145 13.5319 5.18260.1062354132 0.0911973051 0.0777370602 0.0667469076 0.0548818752 0.3398033924 12.2211 4.8265 7.39460.7518103049 0.660557526 0.5723215762 0.4988834925 0.4150231848 2.7564763226 167.9656 140.3318 27.63381.2189083683 1.0644702657 0.9134506466 0.7881956709 0.6480452298 3.8645101859 167.9656 131.0136 36.95200.4875756218 0.4257934593 0.3653825583 0.3152792593 0.2592185107 1.5458040744 137.0299 121.9746 15.05530.7313327464 0.6386768064 0.5480680883 0.4729164116 0.388826719 2.3187061116 30.9357 9.0390 21.89670.7313327464 0.6386768064 0.5480680883 0.4729164116 0.388826719 2.3187061116 30.9357 9.0390 21.89670.0731343056 0.0638679984 0.0548069054 0.0472916706 0.0388826808 0.2318706112 12.2201 9.0390 3.18110.6581984409 0.5748088081 0.4932611829 0.4256247411 0.3499440382 2.0868355004 18.7156 0.0000 18.7156

Deficit 0.0011

20 21 22 23 24 250.1579470771 0.1435206573 0.129161801 0.1168221558 0.1008934634 0.8706770945 18.7134 13.5311 5.18230.1062268971 0.0911899944 0.0777308286 0.066741557 0.0548774757 0.3397761528 12.2201 4.8261 7.3940

0.751749596 0.660504111 0.5722751879 0.498842972 0.4149894498 2.7562573216 167.9635 140.3318 27.63161.2188206159 1.0643932203 0.913384012 0.7881377327 0.6479972996 3.8642215092 167.9635 131.0140 36.9495

0.48754052 0.4257626407 0.3653559043 0.3152560839 0.2591993386 1.5456886037 137.0298 121.9755 15.05430.7312800959 0.6386305795 0.5480281077 0.4728816488 0.388797961 2.3185329055 30.9336 9.0385 21.89520.7312800959 0.6386305795 0.5480281077 0.4728816488 0.388797961 2.3185329055 30.9336 9.0385 21.89520.0731290404 0.0638633756 0.0548029073 0.0472881943 0.038879805 0.2318532906 12.2193 9.0385 3.18090.6581510554 0.5747672039 0.4932252004 0.4255934545 0.349918156 2.086679615 18.7143 0.0000 18.7143

Deficit 0.0009

20 21 22 23 24 250.1579397289 0.1435139802 0.129155792 0.1168167208 0.1008887695 0.8706365878 18.7125 13.5305 5.18200.1062199962 0.0911840704 0.0777257789 0.0667372212 0.0548739107 0.3397540796 12.2193 4.8258 7.39350.7517002451 0.6604606913 0.5722374752 0.4988100259 0.4149620188 2.7560792711 167.9617 140.3318 27.62991.2187495332 1.0643308106 0.9133300184 0.7880907713 0.6479584404 3.8639872939 167.9617 131.0143 36.94740.4875120862 0.4257376765 0.3653343067 0.3152372993 0.2591837949 1.5455949175 137.0297 121.9763 15.0534

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Mill Discharge, tons 0 0 0 0 4.4626712562 1.1520194282 3.4233273956 2.15554328033 2.0490323421 Actual 0 0 0 0 4.4626712562 1.1520194282 3.4233273956 2.15554328033 2.0490323421To the Crusher, tons 0 0 0 0 4.4626712562 1.1520194282 3.4233273956 0.852385815 0.445147839SAG Product, tons 0 0 0 0 0 0 0 1.30315746534 1.6038845031

Iteration 40 Cummulative Energy, KWH/ton 20 Cummulative Time, min 20.7672477551 2 3 4 5 6 7 8 9

Make-up Feed, tons 0.8457720978 1.1308632055 1.763859142 3.4225877841 4.371926513 1.0208550899 0.9741190363 0.50074293166 0.4820466491Crushed Pebbles, tons 0 0 0 0 0 0 4.8255517601 1.98719525712 1.3671929092Internal Feed, tons 8.434168826 22.206591014 33.877235695 52.672414909 11.944304307 2.3857789279 8.8113387901 4.17514934946 3.3315510168To the Grate, tons 7.5766658909 21.065698178 32.137592138 49.248316515 12.034954767 2.51678170785 6.4345623526 3.84243638064 3.5311985259Internal Recycle, tons 7.5766658909 21.065698178 32.137592138 49.248316515 7.5723184717 1.36483622584 3.0114653265 1.68707151215 1.4822504782Mill Discharge, tons 0 0 0 0 4.4626362953 1.15194548201 3.4230970261 2.15536486849 2.0489480476 Actual 0 0 0 0 4.4626362953 1.15194548201 3.4230970261 2.15536486849 2.0489480476To the Crusher, tons 0 0 0 0 4.4626362953 1.15194548201 3.4230970261 0.852315264 0.4451295262SAG Product, tons 0 0 0 0 0 0 0 1.30304960449 1.6038185214

Iteration 41 Cummulative Energy, KWH/ton 20.5 Cummulative Time, min 21.272282411 2 3 4 5 6 7 8 9

Make-up Feed, tons 0.8457473942 1.130830175 1.7638076226 3.4224878161 4.3717988165 1.02082527246 0.9740905839 0.50072830581 0.4820325693Crushed Pebbles, tons 0 0 0 0 0 0 4.8253520427 1.98711301214 1.3671363245Internal Feed, tons 8.4224132852 22.196528353 33.90139976 52.670804331 11.944117288 2.3856614983 8.8109079531 4.1749128301 3.3314193721To the Grate, tons 7.5661055373 21.055759567 32.159865625 49.247255467 12.034930573 2.51664844965 6.4342076972 3.84216554724 3.531082811Internal Recycle, tons 7.5661055373 21.055759567 32.159865625 49.247255467 7.572303249 1.36476396068 3.0112993428 1.68695259924 1.4822019059Mill Discharge, tons 0 0 0 0 4.4626273241 1.15188448896 3.4229083544 2.15521294801 2.048880905 Actual 0 0 0 0 4.4626273241 1.15188448896 3.4229083544 2.15521294801 2.048880905To the Crusher, tons 0 0 0 0 4.4626273241 1.15188448896 3.4229083544 0.85225518872 0.4451149396SAG Product, tons 0 0 0 0 0 0 0 1.30295775928 1.6037659654

Iteration 42 Cummulative Energy, KWH/ton 21 Cummulative Time, min 21.7773143281 2 3 4 5 6 7 8 9

Make-up Feed, tons 0.8457283716 1.1308047402 1.7637679509 3.4224108372 4.3717004856 1.02080231195 0.9740686746 0.50071704338 0.4820217274Crushed Pebbles, tons 0 0 0 0 0 0 4.8251963485 1.98704889621 1.3670922127Internal Feed, tons 8.4118339089 22.186564307 33.923633576 52.669666304 11.944003735 2.38556627264 8.8105643659 4.17471853882 3.331315846To the Grate, tons 7.5566017674 21.045970901 32.180346552 49.246585263 12.034964261 2.51653957554 6.4339198909 3.84193538935 3.5309919219Internal Recycle, tons 7.5566017674 21.045970901 32.180346552 49.246585263 7.5723244455 1.36470491888 3.0111646454 1.68685154543 1.4821637545

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1.80892515 1.516913195 1.4168569357 1.1980800946 1.36330423875 1.2011867884 1.1952834953 1.07634967399 0.96669491367 0.84793658741.80892515 1.516913195 1.4168569357 1.1980800946 1.36330423875 1.2011867884 1.1952834953 1.07634967399 0.96669491367 0.8479365874

0.259884512 0.1753042056 0.1494405745 0.1222637058 0.13726563636 0.1204267439 0.1196361796 0.10766947776 0.0966803929 0.08479703321.549040638 1.3416089894 1.2674163612 1.0758163888 1.22603860239 1.0807600445 1.0756473157 0.96868019623 0.87001452077 0.7631395542

10 11 12 13 14 15 16 17 18 190.398423534 0.3561501005 0.3229229074 0.2775707848 0.28437566691 0.235191796 0.2299332191 0.20857725927 0.19242361416 0.17459164430.819962737 0.5707723338 0.4291663449 0.3217907622 0.29548821962 0.2228513881 0.2014054863 0.16980497249 0.14640920666 0.1246583512.475506869 1.9594509581 1.7064916975 1.4023908825 1.49109458796 1.2599136151 1.2287294058 1.09619040107 0.98340426455 0.86458843353.065934999 2.5493580609 2.3711895805 2.0010480446 2.27444762156 2.0029671788 1.9925819937 1.79407382709 1.61119065607 1.41320876591.257075189 1.0324946421 0.9543743515 0.803004702 0.91119571959 0.8018343856 0.7973538048 0.71777455604 0.64454116015 0.565311933

1.80885981 1.5168634188 1.4168152291 1.1980433426 1.36325190197 1.2011327932 1.1952281889 1.07629927106 0.96664949592 0.84789683291.80885981 1.5168634188 1.4168152291 1.1980433426 1.36325190197 1.2011327932 1.1952281889 1.07629927106 0.96664949592 0.8478968329

0.259875125 0.1752984531 0.1494361756 0.1222599553 0.13726036678 0.1204213306 0.119630644 0.10766443585 0.09667585061 0.08479305761.548984685 1.3415649657 1.2673790535 1.0757833873 1.22599153519 1.0807114626 1.0755975449 0.96863483521 0.86997364531 0.7631037753

10 11 12 13 14 15 16 17 18 190.398411897 0.356139698 0.3229134754 0.2775626774 0.28436736078 0.2351849264 0.2299265031 0.20857116708 0.19241799379 0.17458654470.819928801 0.570748711 0.4291485828 0.3217774441 0.29547599011 0.2228421649 0.2013971506 0.16979794469 0.14640314716 0.12465319172.475415887 1.9593830512 1.7064364096 1.4023448235 1.49103907049 1.2598614769 1.2286774585 1.09614366781 0.9833623011 0.86455166943.065848631 2.5492937093 2.3711371313 2.0010016667 2.27437977445 2.0028957882 1.9925087158 1.79400701813 1.61113046723 1.4131561231.257039777 1.0324685796 0.9543532413 0.8029860909 0.91116853849 0.8018058063 0.7973244818 0.71774782705 0.64451708218 0.56529087481.808808854 1.5168251297 1.41678389 1.1980155757 1.36321123596 1.2010899819 1.195184234 1.07625919108 0.96661338504 0.84786524821.808808854 1.5168251297 1.41678389 1.1980155757 1.36321123596 1.2010899819 1.195184234 1.07625919108 0.96661338504 0.84786524820.259867804 0.1752940282 0.1494328702 0.1222571217 0.13725627228 0.1204170385 0.1196262445 0.10766042657 0.09667223912 0.084789899

1.54894105 1.3415311015 1.2673510198 1.0757584541 1.22595496368 1.0806729435 1.0755579894 0.96859876451 0.86994114593 0.7630753492

10 11 12 13 14 15 16 17 18 190.398402936 0.3561316877 0.3229062124 0.2775564344 0.28436096476 0.2351796366 0.2299213316 0.20856647587 0.19241366591 0.17458261790.819902345 0.5707302953 0.4291347359 0.3217670617 0.29546645632 0.2228349747 0.2013906523 0.16979246601 0.14639842333 0.12464916972.475345058 1.9593305626 1.7063941896 1.402309587 1.49099595957 1.2598204176 1.2286364658 1.09610676894 0.98332917142 0.86452266243.065782784 2.5492455927 2.3710992427 2.0009679006 2.27432833747 2.0028401533 1.9924514127 1.79395472886 1.61108336411 1.41311496341.257012779 1.0324490923 0.9543379916 0.8029725409 0.91114793166 0.8017835343 0.7973015514 0.71772690712 0.64449823904 0.5652744101

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0.731237447 0.638593134 0.5479957117 0.472853472 0.3887746455 2.3183923763 30.9320 9.0380 21.89400.731237447 0.638593134 0.5479957117 0.472853472 0.3887746455 2.3183923763 30.9320 9.0380 21.8940

0.0731247755 0.0638596311 0.0547996677 0.0472853766 0.0388774735 0.2318392376 12.2187 9.0380 3.18070.6581126715 0.574733503 0.493196044 0.4255680954 0.349897172 2.0865531387 18.7133 0.0000 18.7133

Deficit 0.0007

20 21 22 23 24 250.1579338629 0.1435086501 0.129150995 0.1168123822 0.1008850224 0.8706042519 18.7118 13.5300 5.1818

0.106214454 0.0911793127 0.0777217235 0.066733739 0.0548710475 0.3397363524 12.2187 4.8256 7.39320.7516604031 0.6604256393 0.5722070252 0.4987834206 0.4149398649 2.7559355219 167.9602 140.3318 27.62841.2186924264 1.06428067 0.9132866211 0.7880530105 0.6479271839 3.8637987298 167.9602 131.0146 36.94570.4874892429 0.4257176201 0.3653169477 0.3152221949 0.2591712923 1.5455194919 137.0296 121.9769 15.05270.7312031835 0.63856305 0.5479696734 0.4728308155 0.3887558916 2.3182792379 30.9306 9.0377 21.89300.7312031835 0.63856305 0.5479696734 0.4728308155 0.3887558916 2.3182792379 30.9306 9.0377 21.89300.0731213491 0.0638566227 0.0547970639 0.047283111 0.0388755981 0.2318279238 12.2182 9.0377 3.18050.6580818344 0.5747064273 0.4931726095 0.4255477046 0.3498802935 2.0864513141 18.7124 0.0000 18.7124

Deficit 0.0006

20 21 22 23 24 250.15792925 0.1435044584 0.1291472228 0.1168089703 0.1008820758 0.8705788231 18.7113 13.5296 5.1817

0.106210058 0.091175539 0.0777185068 0.0667309771 0.0548687766 0.3397222916 12.2182 4.8254 7.39280.7516285509 0.6603976175 0.5721826772 0.4987621423 0.4149221446 2.7558206066 167.9591 140.3318 27.62731.2186470751 1.0642408482 0.9132521353 0.7880229869 0.6479023205 3.8636485604 167.9591 131.0148 36.94430.4874711019 0.4257016911 0.3653031533 0.3152101855 0.2591613469 1.5454594242 137.0295 121.9774 15.05220.7311759732 0.638539157 0.547948982 0.4728128014 0.3887409736 2.3181891362 30.9296 9.0374 21.89220.7311759732 0.638539157 0.547948982 0.4728128014 0.3887409736 2.3181891362 30.9296 9.0374 21.8922

0.073118628 0.0638542333 0.0547949948 0.0472813095 0.0388741063 0.2318189136 12.2178 9.0374 3.18040.6580573451 0.5746849237 0.4931539873 0.4255314919 0.3498668673 2.0863702226 18.7118 0.0000 18.7118

Deficit 0.0005

20 21 22 23 24 250.1579256978 0.1435012307 0.129144318 0.116806343 0.1008798067 0.8705592419 18.7109 13.5293 5.18160.1062066311 0.0911725972 0.0777159991 0.066728824 0.0548670062 0.3397113302 12.2178 4.8252 7.39260.7516034308 0.660375519 0.5721634704 0.4987453524 0.4149081598 2.7557299962 167.9582 140.3318 27.62641.2186116357 1.064209726 0.9132251628 0.7879994863 0.6478828468 3.8635307656 167.9582 131.0149 36.94330.4874569258 0.4256892421 0.3652923642 0.3152007852 0.2591535574 1.5454123062 137.0294 121.9777 15.0517

Page 102: SAGSim Recycle

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Mill Discharge, tons 0 0 0 0 4.4626398159 1.15183465666 3.4227552455 2.15508384392 2.0488281674 Actual 0 0 0 0 4.4626398159 1.15183465666 3.4227552455 2.15508384392 2.0488281674To the Crusher, tons 0 0 0 0 4.4626398159 1.15183465666 3.4227552455 0.85220413594 0.4451034825SAG Product, tons 0 0 0 0 0 0 0 1.30287970798 1.6037246849

Iteration 43 Cummulative Energy, KWH/ton 21.5 Cummulative Time, min 22.2823441211 2 3 4 5 6 7 8 9

Make-up Feed, tons 0.8457141621 1.130785741 1.7637383169 3.4223533355 4.3716270343 1.02078516092 0.9740523087 0.50070863057 0.4820136287Crushed Pebbles, tons 0 0 0 0 0 0 4.8250779159 1.98700012482 1.3670586579Internal Feed, tons 8.4023159295 22.176756642 33.944084869 52.668938599 11.94395148 2.38549007981 8.81029487 4.17456030082 3.331236041To the Grate, tons 7.5480514821 21.036380209 32.199173325 49.24625292 12.035045532 2.51645171801 6.4336891867 3.84174036765 3.5309219277Internal Recycle, tons 7.5480514821 21.036380209 32.199173325 49.24625292 7.5723755806 1.36465727425 3.0110566726 1.68676591862 1.4821343738Mill Discharge, tons 0 0 0 0 4.4626699516 1.15179444376 3.4226325141 2.15497444903 2.0487875539 Actual 0 0 0 0 4.4626699516 1.15179444376 3.4226325141 2.15497444903 2.0487875539To the Crusher, tons 0 0 0 0 4.4626699516 1.15179444376 3.4226325141 0.85216087693 0.4450946593SAG Product, tons 0 0 0 0 0 0 0 1.30281357209 1.6036928946

Iteration 44 Cummulative Energy, KWH/ton 22 Cummulative Time, min 22.7873723071 2 3 4 5 6 7 8 9

Make-up Feed, tons 0.8457040298 1.1307721933 1.7637171861 3.4223123332 4.3715746591 1.02077293118 0.9740406389 0.50070263172 0.4820078538Crushed Pebbles, tons 0 0 0 0 0 0 4.8249910339 1.98696434622 1.3670340422Internal Feed, tons 8.3937555119 22.167152402 33.962890511 52.668565254 11.94395024 2.38543020543 8.8100883453 4.17443289656 3.3311762698To the Grate, tons 7.5403614032 21.027026089 32.21647406 49.246210822 12.035165663 2.51638196936 6.4335072991 3.84157576685 3.5308695429Internal Recycle, tons 7.5403614032 21.027026089 32.21647406 49.246210822 7.5724511663 1.36461944996 3.0109715466 1.68669364851 1.4821123849Mill Discharge, tons 0 0 0 0 4.462714497 1.1517625194 3.4225357524 2.15488211834 2.0487571581 Actual 0 0 0 0 4.462714497 1.1517625194 3.4225357524 2.15488211834 2.0487571581To the Crusher, tons 0 0 0 0 4.462714497 1.1517625194 3.4225357524 0.85212436578 0.4450880559SAG Product, tons 0 0 0 0 0 0 0 1.30275775256 1.6036691022

Iteration 45 Cummulative Energy, KWH/ton 22.5 Cummulative Time, min 23.2923993261 2 3 4 5 6 7 8 9

Make-up Feed, tons 0.8456973478 1.130763259 1.7637032508 3.4222852933 4.3715401189 1.02076486597 0.9740329429 0.50069867563 0.4820040454Crushed Pebbles, tons 0 0 0 0 0 0 4.8249308538 1.98693956365 1.3670169917Internal Feed, tons 8.3860587511 22.157789348 33.980177311 52.668496115 11.943991285 2.38538431593 8.8099353433 4.17433188778 3.331133422To the Grate, tons 7.5334471729 21.017939 32.232367348 49.246416333 12.035317246 2.51632781029 6.4333671487 3.84143754844 3.530832005Internal Recycle, tons 7.5334471729 21.017939 32.232367348 49.246416333 7.572546541 1.36459007981 3.0109059543 1.68663296192 1.482096628

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1.808770005 1.5167965004 1.4167612511 1.1979953597 1.36318040581 1.2010566189 1.1951498614 1.07622782175 0.96658512507 0.84784055331.808770005 1.5167965004 1.4167612511 1.1979953597 1.36318040581 1.2010566189 1.1951498614 1.07622782175 0.96658512507 0.84784055330.259862223 0.1752907196 0.1494304824 0.1222550586 0.13725316812 0.1204136936 0.1196228042 0.10765728863 0.0966694128 0.08478742941.548907782 1.3415057808 1.2673307688 1.0757403011 1.22592723769 1.0806429253 1.0755270572 0.96857053312 0.86991571227 0.7630531239

10 11 12 13 14 15 16 17 18 190.398396242 0.3561257041 0.3229007871 0.277551771 0.28435618706 0.2351756853 0.2299174685 0.20856297164 0.19241043307 0.17457968470.819882221 0.570716287 0.429124203 0.321759164 0.29545920421 0.2228295053 0.2013857093 0.16978829852 0.14639483004 0.12464611022.475291242 1.9592910833 1.7063629816 1.402283476 1.49096332293 1.2597887249 1.2286047292 1.09607817728 0.98330350214 0.8645002053.065734226 2.5492111382 2.3710735763 2.0009447357 2.27429074177 2.0027978462 1.9924076152 1.79391471096 1.61104731746 1.41308350341.256992869 1.0324351381 0.9543276612 0.802963245 0.91113286997 0.8017665978 0.7972840253 0.71771089672 0.64448381893 0.56526182551.808741356 1.516776 1.4167459151 1.1979814907 1.36315787181 1.2010312484 1.1951235899 1.07620381424 0.96656349853 0.8478216781.808741356 1.516776 1.4167459151 1.1979814907 1.36315787181 1.2010312484 1.1951235899 1.07620381424 0.96656349853 0.8478216780.259858107 0.1752883505 0.1494288648 0.1222536433 0.13725089926 0.12041115 0.1196201747 0.10765488711 0.0966672499 0.08478554181.548883249 1.3414876496 1.2673170503 1.0757278475 1.22590697255 1.0806200983 1.0755034152 0.96854892713 0.86989624863 0.7630361361

10 11 12 13 14 15 16 17 18 190.398391469 0.3561214375 0.3228969185 0.2775484458 0.28435278027 0.2351728677 0.229914714 0.20856047291 0.19240812785 0.17457759310.819867458 0.5707060104 0.429116476 0.3217533703 0.29545388407 0.2228254929 0.2013820831 0.16978524125 0.146392194 0.12464386582.475251796 1.9592625861 1.7063410557 1.4022650611 1.49093953431 1.2597649585 1.2285808223 1.09605661088 0.98328414078 0.86448328433.065700238 2.5491881784 2.3710581613 2.0009304752 2.27426481941 2.0027668188 1.9923752431 1.79388507188 1.6110206199 1.4130602431.256978934 1.0324258394 0.9543214568 0.8029575224 0.91112248487 0.8017541768 0.7972710713 0.71769903869 0.64447313883 0.56525252081.808721304 1.516762339 1.4167367045 1.1979729529 1.36314233454 1.201012642 1.1951041719 1.07618603319 0.96654748107 0.84780772211.808721304 1.516762339 1.4167367045 1.1979729529 1.36314233454 1.201012642 1.1951041719 1.07618603319 0.96654748107 0.84780772210.259855226 0.1752867717 0.1494278933 0.122252772 0.13724933487 0.1204092846 0.1196182311 0.10765310843 0.09666564798 0.08478414621.548866078 1.3414755673 1.2673088111 1.0757201809 1.22589299966 1.0806033573 1.0754859408 0.96853292475 0.86988183309 0.763023576

10 11 12 13 14 15 16 17 18 190.398388321 0.3561186237 0.3228943672 0.2775462528 0.28435053358 0.2351710096 0.2299128974 0.20855882505 0.19240660762 0.17457621370.819857232 0.5706988923 0.4291111238 0.3217493572 0.295450199 0.2228227137 0.2013795713 0.16978312359 0.14639036811 0.12464231112.475224487 1.9592433554 1.7063269479 1.4022531324 1.49092321745 1.2597479001 1.22856354 1.09604098734 0.98327011456 0.8644710457

3.06567852 2.5491748779 2.3710513287 2.0009236801 2.27424873145 2.0027453335 1.9923525348 1.79386420967 1.61100182674 1.41304391291.256970029 1.0324204527 0.9543187068 0.8029547955 0.91111603967 0.8017455758 0.7972619843 0.71769069212 0.64446562081 0.5652459885

Page 104: SAGSim Recycle

Mill

Page 104

0.7311547099 0.6385204839 0.5479327986 0.4727987011 0.3887292894 2.3181184593 30.9288 9.0372 21.89150.7311547099 0.6385204839 0.5479327986 0.4727987011 0.3887292894 2.3181184593 30.9288 9.0372 21.89150.0731165017 0.063852366 0.0547933764 0.0472798995 0.0388729378 0.2318118459 12.2175 9.0372 3.18030.6580382082 0.5746681179 0.4931394222 0.4255188016 0.3498563515 2.0863066134 18.7113 0.0000 18.7113

Deficit 0.0004

20 21 22 23 24 250.1579230444 0.1434988197 0.1291421482 0.1168043805 0.1008781118 0.8705446152 18.7105 13.5291 5.18150.1062040243 0.0911703594 0.0777140916 0.0667271861 0.0548656595 0.3397029921 12.2175 4.8251 7.39240.7515839945 0.6603584211 0.5721486039 0.4987323518 0.4148973287 2.7556599135 167.9575 140.3318 27.62561.2185845675 1.0641859507 0.9132045353 0.7879814945 0.6478679248 3.8634403167 167.9575 131.0150 36.94240.4874460983 0.4256797319 0.3652841131 0.3151935885 0.2591475886 1.5453761267 137.0293 121.9779 15.05140.7311384692 0.6385062188 0.5479204221 0.4727879061 0.3887203362 2.31806419 30.9281 9.0371 21.89100.7311384692 0.6385062188 0.5479204221 0.4727879061 0.3887203362 2.31806419 30.9281 9.0371 21.89100.0731148776 0.0638509395 0.0547921388 0.04727882 0.0388720425 0.231806419 12.2173 9.0371 3.18020.6580235917 0.5746552793 0.4931282834 0.4255090861 0.3498482937 2.086257771 18.7109 0.0000 18.7109

Deficit 0.0003

20 21 22 23 24 250.1579211524 0.1434971004 0.1291406009 0.1168029811 0.1008769032 0.8705341854 18.7103 13.5289 5.18140.1062021119 0.0911687177 0.0777126923 0.0667259846 0.0548646715 0.3396968753 12.2173 4.8250 7.39230.7515693626 0.66034555 0.5721374063 0.4987225542 0.4148891634 2.7556071874 167.9569 140.3318 27.62511.2185645746 1.0641683845 0.9131892704 0.7879681587 0.64785685 3.8633729869 167.9569 131.0151 36.94180.4874381009 0.4256727053 0.3652780072 0.3151882541 0.2591431587 1.5453491948 137.0292 121.9781 15.05110.7311264737 0.6384956792 0.5479112633 0.4727799046 0.3887136913 2.3180237921 30.9277 9.0370 21.89070.7311264737 0.6384956792 0.5479112633 0.4727799046 0.3887136913 2.3180237921 30.9277 9.0370 21.8907

0.073113678 0.0638498855 0.0547912229 0.0472780199 0.038871378 0.2318023792 12.2171 9.0370 3.18010.6580127957 0.5746457937 0.4931200404 0.4255018847 0.3498423133 2.0862214129 18.7106 0.0000 18.7106

Deficit 0.0002

20 21 22 23 24 250.1579199046 0.1434959667 0.1291395806 0.1168020582 0.1008761061 0.8705273073 18.7102 13.5288 5.18140.1062007873 0.0911675806 0.077711723 0.0667251524 0.0548639872 0.3396926384 12.2171 4.8249 7.39220.7515587929 0.6603362526 0.5721293107 0.4987154647 0.4148832521 2.7555691404 167.9566 140.3318 27.62471.2185505611 1.0641560653 0.9131785377 0.787958758 0.6478490269 3.8633252031 167.9566 131.0152 36.94140.4874324954 0.4256677776 0.365273714 0.3151844938 0.2591400294 1.5453300813 137.0292 121.9782 15.0509

Page 105: SAGSim Recycle

Mill

Page 105

Mill Discharge, tons 0 0 0 0 4.4627707046 1.15173773048 3.4224611944 2.15480458652 2.048735377 Actual 0 0 0 0 4.4627707046 1.15173773048 3.4224611944 2.15480458652 2.048735377To the Crusher, tons 0 0 0 0 4.4627707046 1.15173773048 3.4224611944 0.85209370668 0.445083324SAG Product, tons 0 0 0 0 0 0 0 1.30271087984 1.603652053

Iteration 46 Cummulative Energy, KWH/ton 23 Cummulative Time, min 23.7974255511 2 3 4 5 6 7 8 9

Make-up Feed, tons 0.8456935797 1.1307582208 1.7636953924 3.4222700448 4.371520641 1.02076031782 0.974028603 0.5006964447 0.4820018978Crushed Pebbles, tons 0 0 0 0 0 0 4.82489324 1.98692407404 1.3670063349Internal Feed, tons 8.3791407526 22.148697221 33.99606274 52.668686378 11.944067182 2.38535039763 8.8098277973 4.17425348067 3.3311048606To the Grate, tons 7.5272325282 21.009142394 32.246962947 49.246831417 12.035493972 2.51628705184 6.4332626603 3.84132223472 3.5308069782Internal Recycle, tons 7.5272325282 21.009142394 32.246962947 49.246831417 7.5726577361 1.36456797674 3.0108570523 1.68658233194 1.4820861228Mill Discharge, tons 0 0 0 0 4.4628362359 1.15171907511 3.422405608 2.15473990278 2.0487208554 Actual 0 0 0 0 4.4628362359 1.15171907511 3.422405608 2.15473990278 2.0487208554To the Crusher, tons 0 0 0 0 4.4628362359 1.15171907511 3.422405608 0.85206812821 0.4450801692SAG Product, tons 0 0 0 0 0 0 0 1.30267177457 1.6036406862

Iteration 47 Cummulative Energy, KWH/ton 23.5 Cummulative Time, min 24.3024512961 2 3 4 5 6 7 8 9

Make-up Feed, tons 0.845692265 1.1307564628 1.7636926505 3.4222647244 4.3715138448 1.02075873091 0.9740270887 0.5006956663 0.4820011484Crushed Pebbles, tons 0 0 0 0 0 0 4.8248746515 1.98691641915 1.3670010683Internal Feed, tons 8.3729247932 22.139898857 34.010655597 52.669096141 11.944171581 2.38532670764 8.8097587924 4.17419441738 3.3310883395To the Grate, tons 7.5216485461 21.000653702 32.260362426 49.247422242 12.035690466 2.51625778784 6.4331886002 3.8412268166 3.5307924784Internal Recycle, tons 7.5216485461 21.000653702 32.260362426 49.247422242 7.5727813686 1.36455210704 3.0108223911 1.68654043738 1.4820800364Mill Discharge, tons 0 0 0 0 4.4629090969 1.15170568081 3.4223662091 2.15468637922 2.0487124421 Actual 0 0 0 0 4.4629090969 1.15170568081 3.4223662091 2.15468637922 2.0487124421To the Crusher, tons 0 0 0 0 4.4629090969 1.15170568081 3.4223662091 0.85204696291 0.4450783414SAG Product, tons 0 0 0 0 0 0 0 1.30263941632 1.6036341007

Iteration 48 Cummulative Energy, KWH/ton 24 Cummulative Time, min 24.8074768251 2 3 4 5 6 7 8 9

Make-up Feed, tons 0.8456930071 1.1307574552 1.7636941983 3.4222677278 4.3715176813 1.02075962673 0.9740279435 0.50069610571 0.4820015715Crushed Pebbles, tons 0 0 0 0 0 0 4.8248720464 1.98691534637 1.3670003302Internal Feed, tons 8.3673415533 22.131411157 34.024056625 52.66968997 11.94429905 2.38531173376 8.809722381 4.17415188946 3.3310819381To the Grate, tons 7.5166329548 20.992485206 32.272659757 49.248158823 12.03590214 2.51623835557 6.4331404463 3.84114867993 3.5307868135Internal Recycle, tons 7.5166329548 20.992485206 32.272659757 49.248158823 7.5729145527 1.36454156903 3.0107998544 1.68650613046 1.4820776585

Page 106: SAGSim Recycle

Mill

Page 106

1.808708491 1.5167544252 1.4167326219 1.1979688846 1.36313269178 1.2009997577 1.1950905505 1.07617351755 0.96653620593 0.84779792441.808708491 1.5167544252 1.4167326219 1.1979688846 1.36313269178 1.2009997577 1.1950905505 1.07617351755 0.96653620593 0.84779792440.259853385 0.1752858571 0.1494274627 0.1222523568 0.13724836398 0.1204079929 0.1196168677 0.10765185647 0.09666452034 0.08478316641.548855106 1.3414685681 1.2673051591 1.0757165278 1.2258843278 1.0805917648 1.0754736828 0.96852166108 0.8698716856 0.763014758

10 11 12 13 14 15 16 17 18 190.398386546 0.356117037 0.3228929285 0.2775450162 0.28434926662 0.2351699617 0.229911873 0.20855789579 0.19240575033 0.1745754359

0.81985084 0.5706944433 0.4291077786 0.321746849 0.29544789575 0.2228209767 0.2013780014 0.16978180001 0.1463892269 0.12464133952.475207416 1.9592319329 1.7063194139 1.4022466607 1.49091320204 1.2597365142 1.2285518587 1.09603038793 0.98326059803 0.86446276383.065667116 2.5491696752 2.3710516588 2.0009231252 2.2742409112 2.0027319094 1.9923379906 1.79385076169 1.61098970958 1.41303343441.256965354 1.0324183456 0.9543188397 0.8029545728 0.9111129067 0.8017402018 0.7972561643 0.71768531184 0.64446077346 0.56524179691.808701762 1.5167513296 1.4167328192 1.1979685523 1.3631280045 1.2009917076 1.1950818263 1.07616544984 0.96652893613 0.84779163751.808701762 1.5167513296 1.4167328192 1.1979685523 1.3631280045 1.2009917076 1.1950818263 1.07616544984 0.96652893613 0.84779163750.259852418 0.1752854994 0.1494274835 0.1222523229 0.13724789204 0.1204071858 0.1196159945 0.10765104944 0.09666379327 0.08478253771.548849344 1.3414658302 1.2673053356 1.0757162294 1.22588011246 1.0805845218 1.0754658318 0.96851440041 0.86986514285 0.7630090999

10 11 12 13 14 15 16 17 18 190.398385927 0.3561164834 0.3228924266 0.2775445847 0.28434882455 0.2351695961 0.2299115156 0.20855757156 0.1924054512 0.17457516450.819847682 0.5706922446 0.4291061254 0.3217456094 0.2954467575 0.2228201182 0.2013772256 0.1697811459 0.14638866291 0.12464085932.475198962 1.9592270735 1.7063173916 1.402244767 1.49090848875 1.2597299162 1.2285449054 1.09602402931 0.98325488757 0.86445782063.065664355 2.5491712373 2.3710579404 2.0009277634 2.27424001893 2.0027252797 1.9923303291 1.79384356395 1.61098321945 1.41302788661.256964222 1.0324189782 0.9543213679 0.8029564341 0.91111254923 0.8017375478 0.7972530984 0.71768243217 0.64445817714 0.56523957761.808700134 1.5167522591 1.4167365725 1.1979713293 1.3631274697 1.2009877319 1.1950772307 1.07616113178 0.96652504231 0.8477883091.808700134 1.5167522591 1.4167365725 1.1979713293 1.3631274697 1.2009877319 1.1950772307 1.07616113178 0.96652504231 0.8477883090.259852184 0.1752856068 0.1494278794 0.1222526063 0.13724783819 0.1204067872 0.1196155345 0.10765061749 0.09666340385 0.08478220481.548847949 1.3414666523 1.2673086931 1.075718723 1.2258796315 1.0805809447 1.0754616961 0.96851051429 0.86986163846 0.7630061042

10 11 12 13 14 15 16 17 18 190.398386277 0.3561167959 0.3228927099 0.2775448283 0.2843490741 0.2351698025 0.2299117173 0.20855775459 0.19240562006 0.17457531770.819847239 0.5706919365 0.4291058937 0.3217454357 0.29544659798 0.2228199979 0.2013771168 0.16978105423 0.14638858387 0.1246407922.475197738 1.9592277106 1.7063199716 1.4022466981 1.49090822132 1.2597273482 1.2285419326 1.09602124099 0.98325238107 0.8644556873

3.06566881 2.5491784227 2.3710691365 2.0009366979 2.27424490559 2.0027243566 1.9923284513 1.79384161868 1.6109814574 1.41302648041.256966048 1.0324218883 0.9543258742 0.8029600195 0.91111450694 0.8017371782 0.797252347 0.7176816539 0.64445747225 0.5652390151

Page 107: SAGSim Recycle

Mill

Page 107

0.7311180657 0.6384882878 0.5479048237 0.4727742642 0.3887089974 2.3179951219 30.9274 9.0370 21.89040.7311180657 0.6384882878 0.5479048237 0.4727742642 0.3887089974 2.3179951219 30.9274 9.0370 21.89040.0731128372 0.0638491464 0.0547905789 0.0472774558 0.0388709087 0.2317995122 12.2170 9.0370 3.18010.6580052286 0.5746391414 0.4931142447 0.4254968084 0.3498380888 2.0861956097 18.7104 0.0000 18.7104

Deficit 0.0002

20 21 22 23 24 250.157919201 0.1434953273 0.1291390052 0.1168015378 0.1008756567 0.8705234285 18.7101 13.5287 5.1814

0.1061999594 0.0911668699 0.0777111172 0.0667246322 0.0548635595 0.3396899902 12.2170 4.8249 7.39210.7515516558 0.6603299747 0.5721238364 0.4987106638 0.4148792457 2.7555435 167.9563 140.3318 27.62451.2185415954 1.0641481756 0.9131716312 0.7879526799 0.6478439494 3.8632939295 167.9563 131.0152 36.9411

0.487428909 0.4256646216 0.3652709514 0.3151820626 0.2591379985 1.5453175718 137.0291 121.9783 15.05080.7311126864 0.6384835539 0.5479006798 0.4727706173 0.388705951 2.3179763577 30.9272 9.0370 21.89030.7311126864 0.6384835539 0.5479006798 0.4727706173 0.388705951 2.3179763577 30.9272 9.0370 21.89030.0731122992 0.063848673 0.0547901645 0.0472770911 0.038870604 0.2317976358 12.2170 9.0370 3.18000.6580003871 0.5746348809 0.4931105153 0.4254935262 0.349835347 2.0861787219 18.7102 0.0000 18.7102

Deficit 0.0001

20 21 22 23 24 250.1579189555 0.1434951042 0.1291388044 0.1168013562 0.1008754999 0.8705220752 18.7101 13.5287 5.18140.1061995503 0.0911665187 0.0777108178 0.0667243751 0.0548633482 0.3396886815 12.2170 4.8249 7.39210.7515474147 0.6603262445 0.5721205736 0.4987077939 0.4148768465 2.7555283285 167.9561 140.3318 27.62431.2185368822 1.0641440173 0.9131679487 0.7879494017 0.647841186 3.8632765752 167.9561 131.0152 36.94090.4874270237 0.4256629583 0.3652694784 0.3151807513 0.2591368931 1.5453106301 137.0290 121.9782 15.05080.7311098585 0.638481059 0.5478984703 0.4727686504 0.3887042929 2.3179659451 30.9271 9.0370 21.89020.7311098585 0.638481059 0.5478984703 0.4727686504 0.3887042929 2.3179659451 30.9271 9.0370 21.89020.0731120165 0.0638484235 0.0547899436 0.0472768944 0.0388704382 0.2317965945 12.2170 9.0370 3.18000.6579978421 0.5746326355 0.4931085267 0.425491756 0.3498338547 2.0861693506 18.7102 0.0000 18.7102

Deficit 0.0001

20 21 22 23 24 250.1579190941 0.1434952301 0.1291389178 0.1168014587 0.1008755884 0.8705228392 18.7101 13.5287 5.18140.1061994929 0.0911664694 0.0777107758 0.0667243391 0.0548633185 0.3396884981 12.2170 4.8249 7.39210.7515456106 0.6603246579 0.572119172 0.4987065491 0.4148758 2.7555219674 167.9561 140.3318 27.62421.2185357404 1.0641429929 0.9131669741 0.7879484756 0.6478403668 3.8632709216 167.9561 131.0152 36.94080.4874265669 0.4256625485 0.3652690886 0.3151803809 0.2591365654 1.5453083686 137.0289 121.9782 15.0507

Page 108: SAGSim Recycle

Mill

Page 108

Mill Discharge, tons 0 0 0 0 4.462987587 1.15169678654 3.4223405919 2.15464254947 2.048709155 Actual 0 0 0 0 4.462987587 1.15169678654 3.4223405919 2.15464254947 2.048709155To the Crusher, tons 0 0 0 0 4.462987587 1.15169678654 3.4223405919 0.85202963092 0.4450776273SAG Product, tons 0 0 0 0 0 0 0 1.30261291856 1.6036315277

Iteration 49 Cummulative Energy, KWH/ton 24.5 Cummulative Time, min 25.3125023611 2 3 4 5 6 7 8 9

Make-up Feed, tons 0.8456954643 1.1307607406 1.7636993227 3.4222776711 4.3715303826 1.02076259252 0.9740307735 0.50069756047 0.4820029719Crushed Pebbles, tons 0 0 0 0 0 0 4.8248828056 1.98691977706 1.3670033785Internal Feed, tons 8.3623284191 22.123245946 34.036359079 52.670436494 11.944444935 2.38530416155 8.8097134335 4.17412346799 3.3310840089To the Grate, tons 7.5121295066 20.984644801 32.283941855 49.249014664 12.036125082 2.516227303 6.4331142814 3.84108554589 3.5307885349Internal Recycle, tons 7.5121295066 20.984644801 32.283941855 49.249014664 7.5730548268 1.36453557528 3.0107876089 1.68647841064 1.4820783811Mill Discharge, tons 0 0 0 0 4.4630702555 1.15169172772 3.4223266725 2.15460713525 2.0487101539 Actual 0 0 0 0 4.4630702555 1.15169172772 3.4223266725 2.15460713525 2.0487101539To the Crusher, tons 0 0 0 0 4.4630702555 1.15169172772 3.4223266725 0.85201562675 0.4450778443SAG Product, tons 0 0 0 0 0 0 0 1.3025915085 1.6036323096

Iteration 50 Cummulative Energy, KWH/ton 25 Cummulative Time, min 25.8175280891 2 3 4 5 6 7 8 9

Make-up Feed, tons 0.845699341 1.130765924 1.7637074075 3.4222933589 4.3715504217 1.0207672717 0.9740352385 0.50069985567 0.4820051814Crushed Pebbles, tons 0 0 0 0 0 0 4.8249046692 1.98692878064 1.367009573Internal Feed, tons 8.3578288476 22.115410725 34.047649263 52.671308023 11.944605249 2.38530284698 8.8097275165 4.17410704695 3.3310931355To the Grate, tons 7.5080874071 20.977136658 32.294289092 49.24996643 12.03635596 2.51622336117 6.4331067063 3.8410354224 3.5307964Internal Recycle, tons 7.5080874071 20.977136658 32.294289092 49.24996643 7.5732000935 1.36453343765 3.0107840636 1.68645640327 1.4820816825Mill Discharge, tons 0 0 0 0 4.4631558664 1.15168992352 3.4223226427 2.15457901913 2.0487147175 Actual 0 0 0 0 4.4631558664 1.15168992352 3.4223226427 2.15457901913 2.0487147175To the Crusher, tons 0 0 0 0 4.4631558664 1.15168992352 3.4223226427 0.85200450854 0.4450788357SAG Product, tons 0 0 0 0 0 0 0 1.30257451059 1.6036358818

Iteration 51 Cummulative Energy, KWH/ton 25.5 Cummulative Time, min 26.3225541641 2 3 4 5 6 7 8 9

Make-up Feed, tons 0.8457043817 1.1307726639 1.76371792 3.4223137574 4.3715764784 1.02077335598 0.9740410442 0.50070284009 0.4820080544Crushed Pebbles, tons 0 0 0 0 0 0 4.8249356854 1.98694155335 1.3670183607Internal Feed, tons 8.3537917888 22.107909322 34.058007012 52.672280188 11.944776572 2.38530679363 8.8097607933 4.17410079671 3.3311080976To the Grate, tons 7.5044607965 20.969961813 32.303775761 49.250993642 12.036591937 2.51622542088 6.4331147675 3.84099656425 3.5308093402Internal Recycle, tons 7.5044607965 20.969961813 32.303775761 49.250993642 7.5733485688 1.36453455462 3.0107878364 1.6864393421 1.4820871142

Page 109: SAGSim Recycle

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1.808702762 1.5167565344 1.4167432623 1.1979766784 1.36313039865 1.2009871783 1.1950761043 1.07615996478 0.96652398515 0.84778746531.808702762 1.5167565344 1.4167432623 1.1979766784 1.36313039865 1.2009871783 1.1950761043 1.07615996478 0.96652398515 0.84778746530.259852562 0.1752861009 0.149428585 0.1222531522 0.1372481331 0.1204067317 0.1196154218 0.10765050076 0.09666329812 0.0847821204

1.5488502 1.3414704335 1.2673146773 1.0757235262 1.22588226555 1.0805804466 1.0754606825 0.96850946402 0.86986068703 0.7630053449

10 11 12 13 14 15 16 17 18 190.398387434 0.3561178306 0.3228936481 0.2775456347 0.28434990027 0.2351704858 0.2299123853 0.20855836055 0.19240617909 0.17457582490.819849067 0.5706932091 0.4291068506 0.3217461532 0.29544725681 0.2228204948 0.2013775659 0.16978143284 0.14638891031 0.1246410699

2.47520255 1.959232928 1.7063263729 1.4022518073 1.49091166402 1.2597281588 1.2285422982 1.09602144729 0.98325256165 0.86445590993.065679251 2.5491902514 2.371084358 2.0009491585 2.27425458339 2.0027282039 1.9923314119 1.79384406813 1.61098365086 1.41302853781.256970329 1.0324266789 0.9543320007 0.8029650198 0.91111838409 0.8017387184 0.7972535317 0.71768263388 0.64445834972 0.56523983811.808708922 1.5167635724 1.4167523573 1.1979841387 1.3631361993 1.2009894855 1.1950778802 1.07616143425 0.96652530113 0.84778869971.808708922 1.5167635724 1.4167523573 1.1979841387 1.3631361993 1.2009894855 1.1950778802 1.07616143425 0.96652530113 0.84778869970.259853447 0.1752869142 0.1494295443 0.1222539135 0.13724871714 0.120406963 0.1196155996 0.10765064775 0.09666342973 0.08478224391.548855475 1.3414766582 1.267322813 1.0757302252 1.22588748216 1.0805825225 1.0754622806 0.9685107865 0.8698618714 0.7630064558

10 11 12 13 14 15 16 17 18 190.39838926 0.356119463 0.3228951282 0.277546907 0.28435120373 0.2351715638 0.2299134392 0.20855931658 0.19240706108 0.1745766252

0.819852783 0.5706957951 0.429108795 0.3217476111 0.29544859561 0.2228215045 0.2013784784 0.16978220219 0.14638957366 0.12464163472.475212372 1.9592419371 1.706335924 1.4022595379 1.49091818343 1.2597317867 1.2285454494 1.09602415265 0.98325498446 0.8644580983.065694624 2.5492058808 2.3711028411 2.0009644834 2.2742682018 2.0027360145 1.9923383965 1.79385017338 1.61098913441 1.41303347491.256976632 1.0324330089 0.9543394399 0.8029711696 0.91112383994 0.8017418451 0.7972563267 0.71768507647 0.64446054337 0.56524181311.808717991 1.5167728719 1.4167634012 1.1979933138 1.36314436186 1.2009941693 1.1950820698 1.07616509691 0.96652859105 0.84779166191.808717991 1.5167728719 1.4167634012 1.1979933138 1.36314436186 1.2009941693 1.1950820698 1.07616509691 0.96652859105 0.8477916619

0.25985475 0.175287989 0.1494307091 0.1222548498 0.137249539 0.1204074326 0.1196160189 0.10765101413 0.09666375876 0.08478254011.548863241 1.3414848829 1.2673326921 1.075738464 1.22589482287 1.0805867367 1.0754660509 0.96851408277 0.86986483229 0.7630091218

10 11 12 13 14 15 16 17 18 190.398391635 0.3561215857 0.3228970529 0.2775485613 0.28435289861 0.2351729655 0.2299148096 0.2085605597 0.19240820792 0.17457766570.819858053 0.5706994638 0.4291115535 0.3217496794 0.29545049486 0.2228229369 0.201379773 0.16978329361 0.14639051471 0.124642436

2.47522632 1.9592540583 1.7063480463 1.4022694103 1.4909272334 1.2597377476 1.2285509093 1.09602892978 0.98325926599 0.86446191483.065714019 2.5492245858 2.3711239297 2.0009821031 2.27428502775 2.0027470913 1.9923487022 1.79385929688 1.61099733409 1.41304078831.256984584 1.0324405845 0.9543479278 0.8029782402 0.9111305808 0.8017462795 0.7972604506 0.71768872661 0.64446382357 0.5652447386

Page 110: SAGSim Recycle

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0.7311091735 0.6384804444 0.5478978855 0.4727680948 0.3887038014 2.3179625529 30.9271 9.0370 21.89010.7311091735 0.6384804444 0.5478978855 0.4727680948 0.3887038014 2.3179625529 30.9271 9.0370 21.8901

0.073111948 0.0638483621 0.0547898851 0.0472768389 0.038870389 0.2317962553 12.2170 9.0370 3.18000.6579972255 0.5746320823 0.4931080004 0.4254912559 0.3498334124 2.0861662976 18.7101 0.0000 18.7101

Deficit 0.0001

20 21 22 23 24 250.1579195529 0.1434956471 0.129139293 0.1168017981 0.1008758815 0.8705253684 18.7101 13.5288 5.18140.1061997297 0.0911666727 0.0777109491 0.0667244879 0.0548634409 0.3396892556 12.2170 4.8249 7.39210.7515458496 0.6603248683 0.5721193306 0.4987066669 0.4148758878 2.7555229927 167.9561 140.3318 27.62421.2185375847 1.0641445886 0.9131682642 0.7879495172 0.6478411744 3.8632750624 167.9561 131.0152 36.94090.4874273047 0.4256631868 0.3652696046 0.3151807975 0.2591368884 1.545310025 137.0288 121.9781 15.0507

0.73111028 0.6384814018 0.5478986596 0.4727687197 0.3887042859 2.3179650374 30.9272 9.0371 21.89010.73111028 0.6384814018 0.5478986596 0.4727687197 0.3887042859 2.3179650374 30.9272 9.0371 21.8901

0.0731120586 0.0638484578 0.0547899625 0.0472769014 0.0388704375 0.2317965037 12.2171 9.0371 3.18000.6579982214 0.574632944 0.4931086971 0.4254918183 0.3498338484 2.0861685337 18.7102 0.0000 18.7102

Deficit 0.0000

20 21 22 23 24 250.1579202768 0.1434963048 0.1291398849 0.1168023335 0.1008763439 0.8705293589 18.7102 13.5288 5.1814

0.106200211 0.0911670859 0.0777113012 0.0667247903 0.0548636895 0.3396907949 12.2171 4.8249 7.39220.7515477925 0.6603265775 0.5721207908 0.4987079212 0.4148769218 2.7555301788 167.9561 140.3318 27.62431.2185419112 1.0641483625 0.9131714374 0.7879521952 0.6478433352 3.8632873567 167.9561 131.0152 36.94100.4874290353 0.4256646964 0.3652708739 0.3151818687 0.2591377528 1.5453149427 137.0288 121.9780 15.05080.7311128759 0.6384836661 0.5479005635 0.4727703265 0.3887055824 2.317972414 30.9274 9.0372 21.89020.7311128759 0.6384836661 0.5479005635 0.4727703265 0.3887055824 2.317972414 30.9274 9.0372 21.89020.0731123182 0.0638486842 0.0547901529 0.0472770621 0.0388705672 0.2317972414 12.2171 9.0372 3.18000.6580005577 0.5746349819 0.4931104106 0.4254932645 0.3498350153 2.0861751726 18.7102 0.0000 18.7102

Deficit 0.0000

20 21 22 23 24 250.1579212181 0.1434971602 0.1291406547 0.1168030297 0.1008769452 0.8705345477 18.7103 13.5289 5.18140.1062008937 0.0911676719 0.0777118008 0.0667252192 0.0548640422 0.3396929785 12.2171 4.8249 7.39220.7515511471 0.6603295285 0.5721233294 0.4987101176 0.4148787401 2.7555424689 167.9562 140.3318 27.62441.2185482854 1.0641539333 0.9131761646 0.7879562244 0.6478466136 3.8633063891 167.9562 131.0151 36.9411

0.487431585 0.4256669247 0.3652727648 0.3151834804 0.2591390641 1.5453225557 137.0287 121.9779 15.0508

Page 111: SAGSim Recycle

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Mill Discharge, tons 0 0 0 0 4.4632433682 1.15169086626 3.4223269311 2.15455722215 2.0487222259 Actual 0 0 0 0 4.4632433682 1.15169086626 3.4223269311 2.15455722215 2.0487222259To the Crusher, tons 0 0 0 0 4.4632433682 1.15169086626 3.4223269311 0.85199588917 0.4450804669SAG Product, tons 0 0 0 0 0 0 0 1.30256133299 1.603641759

Iteration 52 Cummulative Energy, KWH/ton 26 Cummulative Time, min 26.8275807121 2 3 4 5 6 7 8 9

Make-up Feed, tons 0.8457103658 1.130780665 1.7637303998 3.4223379731 4.3716074108 1.02078057877 0.9740479364 0.50070638297 0.482011465Crushed Pebbles, tons 0 0 0 0 0 0 4.8249741674 1.9869574005 1.3670292635Internal Feed, tons 8.3501711623 22.100742478 34.06750616 52.673331615 11.94495598 2.38531513339 8.8098099401 4.17410312556 3.3311278427To the Grate, tons 7.5012082795 20.963118668 32.312470516 49.252078391 12.036830608 2.51623251269 6.4331358968 3.84096743988 3.5308264353Internal Recycle, tons 7.5012082795 20.963118668 32.312470516 49.252078391 7.5734987394 1.36453840047 3.0107977252 1.68642655467 1.4820942901Mill Discharge, tons 0 0 0 0 4.463331869 1.15169411222 3.4223381716 2.15454088522 2.0487321452 Actual 0 0 0 0 4.463331869 1.15169411222 3.4223381716 2.15454088522 2.0487321452To the Crusher, tons 0 0 0 0 4.463331869 1.15169411222 3.4223381716 0.85198942891 0.4450826219SAG Product, tons 0 0 0 0 0 0 0 1.30255145631 1.6036495233

Iteration 53 Cummulative Energy, KWH/ton 26.5 Cummulative Time, min 27.3326078371 2 3 4 5 6 7 8 9

Make-up Feed, tons 0.8457171021 1.1307896721 1.7637444484 3.4223652331 4.371642232 1.02078870962 0.974055695 0.50071037125 0.4820153044Crushed Pebbles, tons 0 0 0 0 0 0 4.8250186572 1.98697572171 1.3670418685Internal Feed, tons 8.3469253817 22.09390834 34.076214965 52.674443624 11.945140971 2.38532711009 8.8098720774 4.17411264763 3.331151463To the Grate, tons 7.4982924978 20.956603444 32.32043678 49.253205073 12.037069941 2.51624378983 6.4331678606 3.84094670367 3.5308468927Internal Recycle, tons 7.4982924978 20.956603444 32.32043678 49.253205073 7.573649326 1.364544516 3.0108126847 1.68641745016 1.4821028772Mill Discharge, tons 0 0 0 0 4.4634206151 1.15169927384 3.4223551759 2.15452925351 2.0487440154 Actual 0 0 0 0 4.4634206151 1.15169927384 3.4223551759 2.15452925351 2.0487440154To the Crusher, tons 0 0 0 0 4.4634206151 1.15169927384 3.4223551759 0.85198482927 0.4450852007SAG Product, tons 0 0 0 0 0 0 0 1.30254442423 1.6036588148

Iteration 54 Cummulative Energy, KWH/ton 27 Cummulative Time, min 27.8376356221 2 3 4 5 6 7 8 9

Make-up Feed, tons 0.8457244259 1.1307994646 1.7637597222 3.4223948703 4.3716800898 1.02079754951 0.9740641301 0.50071470734 0.4820194785Crushed Pebbles, tons 0 0 0 0 0 0 4.8250678957 1.98699599842 1.3670558189Internal Feed, tons 8.3440169238 22.087402908 34.084196502 52.675599943 11.945329416 2.3853420655 8.8099447105 4.17412815592 3.3311781747To the Grate, tons 7.4956797431 20.950410561 32.327733119 49.254360154 12.037308226 2.51625851334 6.433208717 3.84093317245 3.5308700293Internal Recycle, tons 7.4956797431 20.950410561 32.327733119 49.254360154 7.5737992531 1.36455250047 3.010831806 1.6864115091 1.482112589

Page 112: SAGSim Recycle

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1.808729434 1.5167840013 1.4167760019 1.1980038629 1.36315444695 1.2010008118 1.1950882516 1.07617057027 0.96653351052 0.84779604981.808729434 1.5167840013 1.4167760019 1.1980038629 1.36315444695 1.2010008118 1.1950882516 1.07617057027 0.96653351052 0.84779604980.259856394 0.1752892751 0.1494320382 0.1222559264 0.13725055442 0.1204080986 0.1196166376 0.10765156164 0.09666425076 0.0847829789

1.54887304 1.3414947262 1.2673439638 1.0757479365 1.22590389253 1.0805927133 1.075471614 0.96851900862 0.86986925976 0.7630130709

10 11 12 13 14 15 16 17 18 190.398394454 0.3561241055 0.3228993376 0.2775505252 0.28435491063 0.2351746296 0.2299164365 0.20856203543 0.19240956936 0.1745789010.819864592 0.5707040155 0.429114976 0.3217522456 0.29545285127 0.222824714 0.2013813791 0.16978464774 0.14639168227 0.1246434301

2.47524363 1.9592687054 1.7063622414 1.402281011 1.49093834269 1.2597456231 1.2285582662 1.09603540978 0.9832650752 0.86446706973.065736653 2.5492457423 2.3711470598 2.001001528 2.27430442922 2.0027608321 1.992361722 1.79387088811 1.61100775431 1.41305004341.256993865 1.0324491529 0.9543572374 0.8029860353 0.91113835347 0.8017517802 0.7972656606 0.71769336404 0.64446799207 0.56524844081.808742788 1.5167965894 1.4167898224 1.1980154927 1.36316607575 1.2010090519 1.1950960613 1.07617752407 0.96653976223 0.84780160261.808742788 1.5167965894 1.4167898224 1.1980154927 1.36316607575 1.2010090519 1.1950960613 1.07617752407 0.96653976223 0.84780160260.259858313 0.1752907299 0.1494334959 0.1222571132 0.13725172528 0.1204089247 0.1196174193 0.10765225725 0.09666487601 0.08478353421.548884476 1.3415058595 1.2673563266 1.0757583795 1.22591435047 1.0806001272 1.075478642 0.96852526683 0.86987488623 0.7630180684

10 11 12 13 14 15 16 17 18 190.398397627 0.3561269422 0.3229019096 0.2775527359 0.28435717561 0.2351765028 0.2299182678 0.2085636967 0.19241110197 0.17458029160.819872152 0.5707092778 0.4291189327 0.3217552124 0.29545557556 0.2228267686 0.201383236 0.16978621328 0.1463930321 0.12464457942.475263643 1.9592853728 1.7063780797 1.4022939836 1.49095110464 1.2597550517 1.2285671644 1.09604327402 0.98327212615 0.86447331173.065761851 2.5492688129 2.371171747 2.0010223369 2.27432586148 2.0027767166 1.9923769313 1.79388447159 1.61101996712 1.41306086481.257004196 1.0324584965 0.9543671737 0.8029943857 0.91114693972 0.8017581392 0.7972717468 0.71769879853 0.64447287769 0.56525276961.808757655 1.5168103164 1.4168045733 1.1980279512 1.36317892176 1.2010185775 1.1951051845 1.07618567306 0.96654708943 0.84780809521.808757655 1.5168103164 1.4168045733 1.1980279512 1.36317892176 1.2010185775 1.1951051845 1.07618567306 0.96654708943 0.84780809520.259860448 0.1752923163 0.1494350517 0.1222583846 0.13725301869 0.1204098797 0.1196183324 0.10765307241 0.09666560881 0.08478418351.548897207 1.3415180001 1.2673695216 1.0757695666 1.22592590306 1.0806086978 1.075486852 0.96853260065 0.86988148062 0.7630239117

10 11 12 13 14 15 16 17 18 190.398401077 0.3561300262 0.3229047059 0.2775551395 0.2843596381 0.2351785394 0.2299202589 0.20856550283 0.19241276822 0.17458180340.819880518 0.5707151018 0.4291233118 0.3217584959 0.29545859063 0.2228290425 0.2013852911 0.16978794592 0.14639452602 0.12464585132.475285792 1.9593036245 1.7063951914 1.4023080211 1.49096516845 1.2597657211 1.2285772968 1.09605224728 0.98328017193 0.86448042433.065789033 2.5492933359 2.3711975759 2.0010441686 2.27434885544 2.0027942955 1.9923938773 1.79389963675 1.61103360304 1.41307292861.257015341 1.0324684284 0.9543775695 0.8030031466 0.91115615163 0.8017651764 0.797278528 0.71770486582 0.64447833261 0.5652575953

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Mill

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0.7311167003 0.6384870086 0.5479033998 0.472772744 0.3887075495 2.3179838335 30.9275 9.0373 21.89030.7311167003 0.6384870086 0.5479033998 0.472772744 0.3887075495 2.3179838335 30.9275 9.0373 21.89030.0731127006 0.0638490185 0.0547904365 0.0472773038 0.0388707639 0.2317983833 12.2172 9.0373 3.18000.6580039997 0.5746379901 0.4931129633 0.4254954402 0.3498367856 2.0861854501 18.7103 0.0000 18.7103

Deficit 0.0000

20 21 22 23 24 250.1579223355 0.1434981755 0.1291415685 0.1168038562 0.100877659 0.8705407074 18.7105 13.5290 5.18150.1062017407 0.091168399 0.0777124206 0.0667257514 0.0548644798 0.3396956878 12.2172 4.8250 7.39230.7515556612 0.6603334993 0.5721267539 0.4987130879 0.4148812028 2.7555589509 167.9564 140.3318 27.62461.2185563321 1.0641609719 0.913182162 0.7879613582 0.6478508061 3.8633309381 167.9564 131.0151 36.94130.4874348038 0.4256697402 0.3652751638 0.3151855339 0.2591407411 1.5453323752 137.0286 121.9777 15.05090.7311215283 0.6384912317 0.5479069982 0.4727758243 0.388710065 2.3179985628 30.9278 9.0374 21.89040.7311215283 0.6384912317 0.5479069982 0.4727758243 0.388710065 2.3179985628 30.9278 9.0374 21.89040.0731131835 0.0638494408 0.0547907964 0.0472776118 0.0388710154 0.2317998563 12.2174 9.0374 3.18000.6580083448 0.5746417909 0.4931162019 0.4254982125 0.3498390496 2.0861987066 18.7104 0.0000 18.7104

Deficit 0.0000

20 21 22 23 24 250.1579235934 0.1434993185 0.1291425971 0.1168047866 0.1008784625 0.8705476416 18.7106 13.5291 5.1815

0.10620272 0.0911692397 0.0777131372 0.0667263666 0.0548649856 0.33969882 12.2174 4.8250 7.39230.7515611172 0.6603382984 0.572130898 0.4987166871 0.4148841893 2.7555788369 167.9566 140.3318 27.62481.2185657276 1.0641691942 0.9131891842 0.787967384 0.647855737 3.8633599485 167.9566 131.0150 36.94160.4874385621 0.4256730292 0.3652779727 0.3151879442 0.2591427135 1.5453439794 137.0286 121.9775 15.05100.7311271655 0.638496165 0.5479112115 0.4727794397 0.3887130235 2.3180159691 30.9280 9.0375 21.89060.7311271655 0.638496165 0.5479112115 0.4727794397 0.3887130235 2.3180159691 30.9280 9.0375 21.89060.0731137472 0.0638499341 0.0547912177 0.0472779734 0.0388713113 0.2318015969 12.2175 9.0375 3.18000.6580134183 0.5746462309 0.4931199938 0.4255014664 0.3498417122 2.0862143722 18.7106 0.0000 18.7106

Deficit -0.0001

20 21 22 23 24 250.157924961 0.1435005612 0.1291437155 0.1168057981 0.1008793361 0.8705551804 18.7108 13.5292 5.1816

0.1062038037 0.09117017 0.0777139302 0.0667270476 0.0548655455 0.3397022866 12.2175 4.8251 7.39240.7515673268 0.6603437604 0.5721356184 0.4987207899 0.4148875951 2.7556014464 167.9568 140.3318 27.62501.2185761923 1.0641783552 0.9131970197 0.7879741181 0.6478612547 3.8633925096 167.9568 131.0150 36.94180.4874427481 0.4256766936 0.3652811069 0.3151906379 0.2591449206 1.5453570039 137.0285 121.9774 15.0511

Page 114: SAGSim Recycle

Mill

Page 114

Mill Discharge, tons 0 0 0 0 4.4635089724 1.15170601287 3.4223769109 2.15452166334 2.0487574403 Actual 0 0 0 0 4.4635089724 1.15170601287 3.4223769109 2.15452166334 2.0487574403To the Crusher, tons 0 0 0 0 4.4635089724 1.15170601287 3.4223769109 0.85198182783 0.4450881172SAG Product, tons 0 0 0 0 0 0 0 1.30253983551 1.6036693231

Iteration 55 Cummulative Energy, KWH/ton 27.5 Cummulative Time, min 28.342664131 2 3 4 5 6 7 8 9

Make-up Feed, tons 0.845732195 1.1308098524 1.7637759246 3.4224263093 4.3717202493 1.02080692683 0.9740730782 0.50071930703 0.4820239065Crushed Pebbles, tons 0 0 0 0 0 0 4.8251207963 1.98701778326 1.3670708069Internal Feed, tons 8.3414119381 22.081220413 34.091509044 52.676786464 11.945519502 2.3853594273 8.8100256805 4.1741485994 3.3312073025To the Grate, tons 7.4933396067 20.944532979 32.3344136 49.25553195 12.037544033 2.51627603922 6.4332567788 3.84092580554 3.5308952572Internal Recycle, tons 7.4933396067 20.944532979 32.3344136 49.25553195 7.5739476214 1.36456200465 3.0108542996 1.68640827457 1.4821231786Mill Discharge, tons 0 0 0 0 4.4635964111 1.15171403456 3.4224024791 2.15451753097 2.0487720785 Actual 0 0 0 0 4.4635964111 1.15171403456 3.4224024791 2.15451753097 2.0487720785To the Crusher, tons 0 0 0 0 4.4635964111 1.15171403456 3.4224024791 0.85198019373 0.4450912973SAG Product, tons 0 0 0 0 0 0 0 1.30253733724 1.6036807812

Iteration 56 Cummulative Energy, KWH/ton 28 Cummulative Time, min 28.8476934131 2 3 4 5 6 7 8 9

Make-up Feed, tons 0.845740287 1.130820672 1.7637928004 3.4224590551 4.3717620779 1.02081669392 0.9740823981 0.50072409792 0.4820285185Crushed Pebbles, tons 0 0 0 0 0 0 4.8251764235 1.98704069095 1.3670865675Internal Feed, tons 8.3390798937 22.075353651 34.098206401 52.677991005 11.945709699 2.38537869857 8.8101131213 4.17417306344 3.3312382646To the Grate, tons 7.4912446615 20.938962487 32.340528116 49.256710421 12.037776177 2.51629580715 6.4333105821 3.84092368764 3.5309220703Internal Recycle, tons 7.4912446615 20.938962487 32.340528116 49.256710421 7.574093685 1.36457272469 3.0108794803 1.68640734468 1.4821344337Mill Discharge, tons 0 0 0 0 4.4636824916 1.15172308246 3.4224311017 2.15451634296 2.0487876366 Actual 0 0 0 0 4.4636824916 1.15172308246 3.4224311017 2.15451634296 2.0487876366To the Crusher, tons 0 0 0 0 4.4636824916 1.15172308246 3.4224311017 0.85197972394 0.4450946773SAG Product, tons 0 0 0 0 0 0 0 1.30253661902 1.6036929594

Iteration 57 Cummulative Energy, KWH/ton 28.5 Cummulative Time, min 29.3527235081 2 3 4 5 6 7 8 9

Make-up Feed, tons 0.8457485969 1.130831783 1.7638101308 3.422492683 4.3718050333 1.02082672409 0.9740919691 0.50072901785 0.4820332547Crushed Pebbles, tons 0 0 0 0 0 0 4.8252339737 1.9870643905 1.3671028728Internal Feed, tons 8.3369932584 22.06979427 34.104338247 52.679203104 11.945898718 2.38539944877 8.8102054231 4.17420075303 3.3312705612To the Grate, tons 7.4893701747 20.933689957 32.346122691 49.257886998 12.038003684 2.51631733069 6.4333688587 3.84092601401 3.5309500346Internal Recycle, tons 7.4893701747 20.933689957 32.346122691 49.257886998 7.5742368315 1.36458439678 3.0109067546 1.6864083661 1.4821461719

Page 115: SAGSim Recycle

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1.808773692 1.5168249076 1.4168200064 1.198041022 1.36319270381 1.2010291191 1.1951153494 1.07619477093 0.96655527043 0.84781533331.808773692 1.5168249076 1.4168200064 1.198041022 1.36319270381 1.2010291191 1.1951153494 1.07619477093 0.96655527043 0.84781533330.259862752 0.1752940025 0.1494366795 0.1222597184 0.13725440635 0.1204109366 0.1196193499 0.10765398249 0.096666427 0.08478490731.548910939 1.341530905 1.2673833269 1.0757813036 1.22593829746 1.0806181825 1.0754959995 0.96854078844 0.86988884343 0.763030426

10 11 12 13 14 15 16 17 18 190.398404737 0.3561332977 0.3229076722 0.2775576892 0.28436225031 0.2351806998 0.229922371 0.20856741877 0.19241453578 0.17458340720.819889507 0.5707213589 0.4291280166 0.3217620235 0.29546182995 0.2228314856 0.201387499 0.16978980742 0.14639613104 0.12464721792.475309585 1.959323085 1.7064132582 1.4023228593 1.49098023189 1.2597773618 1.2285883979 1.09606209201 0.98328899943 0.86448822053.065817699 2.5493189149 2.3712241909 2.0010667135 2.27437300782 2.0028131811 1.9924121694 1.79391602946 1.61104834343 1.41308595561.257027095 1.0324787879 0.9543882817 0.8030121937 0.91116582763 0.8017727367 0.7972858478 0.71771142423 0.64448422936 0.56526280641.808790604 1.516840127 1.4168359092 1.1980545198 1.3632071802 1.2010404444 1.1951263217 1.07620460523 0.96656411407 0.84782314921.808790604 1.516840127 1.4168359092 1.1980545198 1.3632071802 1.2010404444 1.1951263217 1.07620460523 0.96656411407 0.84782314920.259865182 0.1752957614 0.1494383568 0.1222610959 0.13725586392 0.120412072 0.1196204481 0.10765496623 0.09666731146 0.08478568891.548925422 1.3415443656 1.2673975524 1.0757934239 1.22595131628 1.0806283724 1.0755058736 0.968549639 0.86989680261 0.7630374602

10 11 12 13 14 15 16 17 18 190.398408549 0.3561367052 0.3229107618 0.2775603449 0.28436497109 0.23518295 0.2299245709 0.20856941434 0.1924163768 0.17458507760.819898959 0.5707279386 0.4291329639 0.321765733 0.29546523624 0.2228340545 0.2013898207 0.16979176488 0.1463978188 0.12464865492.475334603 1.9593434317 1.7064320073 1.4023382716 1.49099603495 1.2597897413 1.2286002394 1.09607260345 0.98329842496 0.8644965389

3.06584742 2.5493452105 2.3712512886 2.0010897072 2.27439797266 2.0028330397 1.9924314712 1.79393334471 1.61106391384 1.41309970511.257039281 1.0324894377 0.9543991882 0.8030214209 0.91117582911 0.8017806866 0.7972935716 0.71771835173 0.64449045815 0.56526830651.808808139 1.5168557728 1.4168521004 1.1980682863 1.36322214355 1.2010523531 1.1951378997 1.07621499298 0.96657345569 0.84783139861.808808139 1.5168557728 1.4168521004 1.1980682863 1.36322214355 1.2010523531 1.1951378997 1.07621499298 0.96657345569 0.84783139860.259867701 0.1752975695 0.1494400645 0.1222625008 0.13725737052 0.1204132659 0.1196216069 0.10765600534 0.09666824573 0.08478651391.548940438 1.3415582033 1.2674120359 1.0758057856 1.22596477303 1.0806390872 1.0755162927 0.96855898764 0.86990520996 0.7630448847

10 11 12 13 14 15 16 17 18 190.398412464 0.3561402044 0.3229139346 0.2775630721 0.28436776515 0.2351852609 0.2299268301 0.20857146367 0.19241826741 0.1745867930.819908738 0.5707347457 0.4291380821 0.3217695707 0.29546876027 0.2228367123 0.2013922227 0.16979378999 0.14639956489 0.12465014162.475360483 1.9593643878 1.7064512049 1.4023540637 1.49101235453 1.2598026597 1.2286126243 1.09608360539 0.98330829046 0.8645052411

3.06587783 2.5493719328 2.371278611 2.0011129245 2.27442345403 2.0028535845 1.9924514936 1.79395132039 1.61108007848 1.41311397071.257051749 1.0325002603 0.9544101851 0.8030307378 0.91118603753 0.8017889112 0.7973015837 0.71772554345 0.64449692466 0.565274013

Page 116: SAGSim Recycle

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0.7311334442 0.6385016616 0.5479159128 0.4727834802 0.3887163341 2.3180355058 30.9283 9.0376 21.89070.7311334442 0.6385016616 0.5479159128 0.4727834802 0.3887163341 2.3180355058 30.9283 9.0376 21.89070.0731143751 0.0638504838 0.0547916878 0.0472783774 0.0388716423 0.2318035506 12.2176 9.0376 3.18000.6580190692 0.5746511778 0.493124225 0.4255051028 0.3498446918 2.0862319552 18.7107 0.0000 18.7107

Deficit -0.0001

20 21 22 23 24 250.1579264117 0.1435018794 0.1291449018 0.1168068711 0.1008802628 0.8705631776 18.7109 13.5293 5.18160.1062049681 0.0911711696 0.0777147822 0.0667277791 0.0548661471 0.339706011 12.2176 4.8251 7.3925

0.751574128 0.6603497427 0.572140791 0.4987252881 0.4148913304 2.7556261924 167.9570 140.3318 27.62521.2185874854 1.0641882434 0.913205486 0.7879814022 0.6478672284 3.8634278359 167.9570 131.0149 36.94220.4874472655 0.425680649 0.3652844934 0.3151935515 0.2591473101 1.5453711343 137.0284 121.9772 15.0512

0.73114022 0.6385075945 0.5479209926 0.4727878506 0.3887199184 2.3180567015 30.9286 9.0377 21.89090.73114022 0.6385075945 0.5479209926 0.4727878506 0.3887199184 2.3180567015 30.9286 9.0377 21.8909

0.0731150526 0.0638510771 0.0547921958 0.0472788145 0.0388720007 0.2318056702 12.2178 9.0377 3.18000.6580251673 0.5746565174 0.4931287968 0.4255090362 0.3498479176 2.0862510314 18.7109 0.0000 18.7109

Deficit -0.0001

20 21 22 23 24 250.1579279228 0.1435032525 0.1291461375 0.1168079887 0.100881228 0.8705715071 18.7111 13.5295 5.18170.1062061925 0.0911722207 0.0777156782 0.0667285484 0.0548667796 0.3397099274 12.2178 4.8252 7.39260.7515813808 0.6603561221 0.5721463091 0.4987300886 0.4148953177 2.7556525688 167.9573 140.3318 27.62551.2185993994 1.0641986769 0.913214426 0.7879890999 0.6478735456 3.8634652504 167.9573 131.0148 36.94250.4874520312 0.4256848224 0.3652880695 0.3151966306 0.2591498369 1.5453861002 137.0284 121.9770 15.05140.7311473682 0.6385138545 0.5479263566 0.4727924693 0.3887237086 2.3180791503 30.9289 9.0378 21.89110.7311473682 0.6385138545 0.5479263566 0.4727924693 0.3887237086 2.3180791503 30.9289 9.0378 21.89110.0731157675 0.0638517031 0.0547927322 0.0472792763 0.0388723798 0.231807915 12.2179 9.0378 3.18010.6580316007 0.5746621514 0.4931336244 0.425513193 0.3498513289 2.0862712352 18.7110 0.0000 18.7110

Deficit -0.0001

20 21 22 23 24 250.1579294745 0.1435046625 0.1291474064 0.1168091364 0.1008822192 0.870580061 18.7113 13.5296 5.18170.1062074592 0.0911733081 0.0777166051 0.0667293443 0.054867434 0.3397139791 12.2179 4.8252 7.39270.7515889649 0.660362793 0.572152081 0.4987351113 0.4148994902 2.7556801403 167.9576 140.3318 27.6257

1.218611756 1.0642094993 0.9132237047 0.7879970942 0.6478801093 3.8635041717 167.9576 131.0148 36.94280.4874569739 0.4256891514 0.365291781 0.3151998283 0.2591524625 1.5454016687 137.0283 121.9768 15.0515

Page 117: SAGSim Recycle

Mill

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Mill Discharge, tons 0 0 0 0 4.4637668529 1.15173293391 3.4224621041 2.15451764791 2.0488038627 Actual 0 0 0 0 4.4637668529 1.15173293391 3.4224621041 2.15451764791 2.0488038627To the Crusher, tons 0 0 0 0 4.4637668529 1.15173293391 3.4224621041 0.85198023997 0.4450982023SAG Product, tons 0 0 0 0 0 0 0 1.30253740794 1.6037056603

Iteration 58 Cummulative Energy, KWH/ton 29 Cummulative Time, min 29.8577544391 2 3 4 5 6 7 8 9

Make-up Feed, tons 0.845757035 1.1308430655 1.7638277285 3.4225268296 4.3718486513 1.020836909 0.9741016877 0.50073401369 0.4820380641Crushed Pebbles, tons 0 0 0 0 0 0 4.8252927583 1.9870885984 1.3671195278Internal Feed, tons 8.3351272097 22.064533023 34.10995042 52.680413828 11.946085483 2.38542130578 8.8103012006 4.17423097818 3.3313037638To the Grate, tons 7.4876938474 20.928705561 32.351239769 49.259054415 12.038225767 2.51634018856 6.4334305126 3.84093207764 3.5309787781Internal Recycle, tons 7.4876938474 20.928705561 32.351239769 49.259054415 7.5743765642 1.36459679247 3.0109356095 1.68641102841 1.4821582372Mill Discharge, tons 0 0 0 0 4.4638492024 1.15174339609 3.4224949031 2.15452104923 2.0488205408 Actual 0 0 0 0 4.4638492024 1.15174339609 3.4224949031 2.15452104923 2.0488205408To the Crusher, tons 0 0 0 0 4.4638492024 1.15174339609 3.4224949031 0.85198158498 0.4451018256SAG Product, tons 0 0 0 0 0 0 0 1.30253946424 1.6037187152

Iteration 59 Cummulative Energy, KWH/ton 29.5 Cummulative Time, min 30.3627862231 2 3 4 5 6 7 8 9

Make-up Feed, tons 0.8457655249 1.1308544171 1.7638454343 3.4225611858 4.371892537 1.02084715641 0.974111466 0.50073904018 0.4820429029Crushed Pebbles, tons 0 0 0 0 0 0 4.8253521899 1.98711307276 1.3671363662Internal Feed, tons 8.3334593723 22.059559978 34.115085203 52.6816156 11.946269101 2.38544394888 8.8103992654 4.17426314136 3.3313375063To the Grate, tons 7.4861955792 20.923998956 32.355918474 49.260206557 12.038441794 2.51636401704 6.4334945989 3.840941258 3.5310079834Internal Recycle, tons 7.4861955792 20.923998956 32.355918474 49.260206557 7.5745124871 1.36460971452 3.0109656028 1.68641505917 1.4821704964Mill Discharge, tons 0 0 0 0 4.4639293065 1.15175430252 3.4225289961 2.15452619883 2.048837487 Actual 0 0 0 0 4.4639293065 1.15175430252 3.4225289961 2.15452619883 2.048837487To the Crusher, tons 0 0 0 0 4.4639293065 1.15175430252 3.4225289961 0.85198362134 0.4451055071SAG Product, tons 0 0 0 0 0 0 0 1.30254257749 1.6037319799

Iteration 60 Cummulative Energy, KWH/ton 30 Cummulative Time, min 30.8678188681 2 3 4 5 6 7 8 9

Make-up Feed, tons 0.8457740019 1.1308657515 1.763863113 3.4225954896 4.3719363558 1.0208573882 0.9741212294 0.50074405901 0.4820477343Crushed Pebbles, tons 0 0 0 0 0 0 4.8254117698 1.98713760817 1.3671532466Internal Feed, tons 8.3319695811 22.054864707 34.119781587 52.682802047 11.946448843 2.38546710272 8.810498602 4.17429672635 3.3313714774To the Grate, tons 7.4848572553 20.919559447 32.360194859 49.261338334 12.038651274 2.51638850316 6.433560306 3.84095301122 3.5310373808Internal Recycle, tons 7.4848572553 20.919559447 32.360194859 49.261338334 7.5746442911 1.3646229932 3.0109963546 1.68642021957 1.4821828362

Page 118: SAGSim Recycle

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1.808826081 1.5168716725 1.4168684259 1.1980821867 1.3632374165 1.2010646734 1.1951499098 1.07622577694 0.96658315382 0.84783995771.808826081 1.5168716725 1.4168684259 1.1980821867 1.3632374165 1.2010646734 1.1951499098 1.07622577694 0.96658315382 0.84783995770.259870279 0.175299407 0.1494417864 0.1222639193 0.13725890829 0.1204145011 0.119622809 0.10765708408 0.09666921565 0.08478736991.548955802 1.3415722655 1.2674266395 1.0758182674 1.22597850821 1.0806501722 1.0755271008 0.96856869286 0.86991393817 0.7630525878

10 11 12 13 14 15 16 17 18 190.398416439 0.3561437577 0.3229171563 0.2775658414 0.28437060232 0.2351876073 0.2299291241 0.20857354461 0.19242018719 0.17458853490.819918727 0.5707416988 0.4291433102 0.3217734908 0.29547235989 0.222839427 0.2013946762 0.16979585855 0.14640134844 0.12465166022.475386915 1.9593857167 1.7064706516 1.4023700699 1.49102899974 1.2598159456 1.228625384 1.09609494661 0.98331846029 0.86451420813.065908615 2.5493988356 2.3713059397 2.0011361747 2.27444919976 2.00287457 1.9924719887 1.79396973191 1.61109663527 1.41312857521.257064372 1.0325111559 0.9544211846 0.8030400679 0.91119635186 0.8017973122 0.7973097851 0.71773290955 0.64450354804 0.56527985511.808844244 1.5168876797 1.4168847551 1.1980961068 1.3632528479 1.2010772579 1.1951622036 1.07623682236 0.96659308723 0.84784872011.808844244 1.5168876797 1.4168847551 1.1980961068 1.3632528479 1.2010772579 1.1951622036 1.07623682236 0.96659308723 0.84784872010.259872888 0.1753012569 0.1494435087 0.1222653398 0.13726046202 0.1204157628 0.1196240395 0.10765818898 0.09667020911 0.08478824611.548971355 1.3415864228 1.2674412464 1.075830767 1.22599238588 1.0806614951 1.0755381641 0.96857863338 0.86992287812 0.763060474

10 11 12 13 14 15 16 17 18 190.398420438 0.3561473327 0.3229203978 0.2775686276 0.28437345691 0.2351899682 0.2299314321 0.20857563832 0.19242211876 0.17459028740.819928826 0.5707487284 0.4291485959 0.3217774539 0.29547599913 0.2228421717 0.2013971567 0.16979794987 0.14640315162 0.12465319552.475413635 1.9594072171 1.7064901783 1.4023861495 1.49104580789 1.2598294521 1.228638374 1.09610649774 0.98332881842 0.86452333813.065939512 2.5494257104 2.3713330909 2.0011592972 2.27447499594 2.0028957867 1.9924927452 1.79398838746 1.61111341169 1.4131433676

1.25707704 1.0325220403 0.9544321126 0.8030493468 0.9112066864 0.8018058057 0.797318091 0.71774037328 0.64451025928 0.56528577241.808862472 1.5169036701 1.4169009783 1.1981099504 1.36326830954 1.201089981 1.1951746542 1.07624801418 0.96660315241 0.84785759531.808862472 1.5169036701 1.4169009783 1.1981099504 1.36326830954 1.201089981 1.1951746542 1.07624801418 0.96660315241 0.84785759530.259875507 0.1753031048 0.1494452198 0.1222667526 0.13726201879 0.1204170384 0.1196252857 0.10765930852 0.09667121574 0.08478913371.548986965 1.3416005653 1.2674557585 1.0758431978 1.22600629075 1.0806729427 1.0755493685 0.96858870566 0.86993193667 0.7630684616

10 11 12 13 14 15 16 17 18 190.398424431 0.3561509024 0.3229236344 0.2775714097 0.28437630714 0.2351923255 0.2299337367 0.20857772885 0.19242404737 0.1745920373

0.81993895 0.5707557756 0.4291538947 0.321781427 0.29547964745 0.2228449232 0.2013996434 0.16980004641 0.1464049593 0.12465473462.47544042 1.9594287183 1.7065096417 1.4024021835 1.49106264098 1.2598430544 1.2286514712 1.09611814853 0.98333926596 0.8645325443

3.065970294 2.549452382 2.3713599111 2.0011821573 2.27450066213 2.0029170566 1.9925135832 1.79400712401 1.61113026108 1.41315821951.257089661 1.0325328423 0.9544429074 0.8030585204 0.91121696886 0.8018143205 0.7973264296 0.71774786941 0.64451699972 0.5652917134

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0.731154782 0.6385203479 0.5479319238 0.4727972658 0.3887276469 2.318102503 30.9293 9.0380 21.89130.731154782 0.6385203479 0.5479319238 0.4727972658 0.3887276469 2.318102503 30.9293 9.0380 21.8913

0.0731165089 0.0638523524 0.0547932889 0.047279756 0.0388727736 0.2318102503 12.2181 9.0380 3.18010.6580382732 0.5746679954 0.4931386348 0.4255175098 0.3498548733 2.0862922527 18.7112 0.0000 18.7112

Deficit -0.0001

20 21 22 23 24 250.1579310502 0.1435060942 0.1291486949 0.1168103018 0.1008832257 0.8705887469 18.7115 13.5297 5.18180.1062087531 0.0911744188 0.0777175519 0.0667301572 0.0548681024 0.3397181177 12.2181 4.8253 7.39280.7515967773 0.6603696645 0.5721580278 0.4987402874 0.4149037906 2.7557085333 167.9579 140.3318 27.62601.2186244025 1.0642205767 0.9132332065 0.7880052846 0.6478868369 3.863544101 167.9579 131.0147 36.94320.4874620327 0.4256935824 0.3652955817 0.3152031045 0.2591551535 1.5454176404 137.0283 121.9766 15.05170.7311623699 0.6385269943 0.5479376248 0.4728021801 0.3887316834 2.3181264606 30.9296 9.0381 21.89150.7311623699 0.6385269943 0.5479376248 0.4728021801 0.3887316834 2.3181264606 30.9296 9.0381 21.89150.0731172677 0.0638530171 0.054793859 0.0472802474 0.0388731772 0.2318126461 12.2182 9.0381 3.18010.6580451022 0.5746739772 0.4931437658 0.4255219327 0.3498585061 2.0863138146 18.7114 0.0000 18.7114

Deficit -0.0001

20 21 22 23 24 250.1579326356 0.1435075348 0.1291499914 0.1168114744 0.1008842384 0.8705974861 18.7117 13.5299 5.18180.1062100613 0.0911755418 0.0777185091 0.0667309791 0.0548687782 0.339722302 12.2182 4.8254 7.39280.7516047295 0.660376659 0.5721640822 0.498745558 0.4149081701 2.7557374285 167.9581 140.3318 27.62631.2186372088 1.0642317948 0.9132428326 0.7880135854 0.6478936573 3.8635846125 167.9581 131.0146 36.94350.4874671553 0.4256980697 0.3652994322 0.3152064249 0.2591578816 1.545433845 137.0282 121.9764 15.05180.7311700535 0.6385337251 0.5479434004 0.4728071605 0.3887357756 2.3181507675 30.9299 9.0382 21.89170.7311700535 0.6385337251 0.5479434004 0.4728071605 0.3887357756 2.3181507675 30.9299 9.0382 21.8917

0.073118036 0.0638536902 0.0547944366 0.0472807455 0.0388735865 0.2318150768 12.2184 9.0382 3.18010.6580520175 0.5746800349 0.4931489639 0.4255264151 0.3498621892 2.0863356908 18.7116 0.0000 18.7116

Deficit -0.0001

20 21 22 23 24 250.1579342185 0.1435089731 0.1291512858 0.1168126452 0.1008852496 0.870606212 18.7119 13.5300 5.18190.1062113727 0.0911766676 0.0777194687 0.0667318031 0.0548694557 0.3397264966 12.2184 4.8254 7.39290.7516127465 0.6603837105 0.5721701867 0.4987508731 0.4149125869 2.7557665536 167.9584 140.3318 27.62661.2186500641 1.0642430566 0.9132524992 0.7880219238 0.6479005104 3.8636253438 167.9584 131.0145 36.94390.4874722976 0.4257025745 0.3653032988 0.3152097602 0.2591606229 1.5454501375 137.0282 121.9762 15.0519

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Mill Discharge, tons 0 0 0 0 4.4640069833 1.15176550996 3.4225639514 2.15453279164 2.0488545446 Actual 0 0 0 0 4.4640069833 1.15176550996 3.4225639514 2.15453279164 2.0488545446To the Crusher, tons 0 0 0 0 4.4640069833 1.15176550996 3.4225639514 0.85198622839 0.4451092129SAG Product, tons 0 0 0 0 0 0 0 1.30254656325 1.6037453317

Iteration 61 Cummulative Energy, KWH/ton 30.5 Cummulative Time, min 31.3728523741 2 3 4 5 6 7 8 9

Make-up Feed, tons 0.8457824115 1.1308769958 1.7638806512 3.4226295205 4.3719798261 1.02086753862 0.9741309151 0.50074903792 0.4820525273Crushed Pebbles, tons 0 0 0 0 0 0 4.8254710767 1.98716203115 1.3671700497Internal Feed, tons 8.3306396667 22.050436442 34.124075511 52.683967854 11.946624117 2.38549053182 8.8105983464 4.17433128865 3.3314054132To the Grate, tons 7.4836625534 20.915376121 32.364102138 49.262445552 12.038853838 2.51641337876 6.4336269392 3.84096686138 3.5310667421Internal Recycle, tons 7.4836625534 20.915376121 32.364102138 49.262445552 7.5747717427 1.3646364831 3.0110275399 1.68642630067 1.4821951609Mill Discharge, tons 0 0 0 0 4.4640820951 1.15177689567 3.4225993993 2.15454056071 2.0488715812 Actual 0 0 0 0 4.4640820951 1.15177689567 3.4225993993 2.15454056071 2.0488715812To the Crusher, tons 0 0 0 0 4.4640820951 1.15177689567 3.4225993993 0.85198930058 0.445112914SAG Product, tons 0 0 0 0 0 0 0 1.30255126013 1.6037586672

Iteration 62 Cummulative Energy, KWH/ton 31 Cummulative Time, min 31.8778867361 2 3 4 5 6 7 8 9

Make-up Feed, tons 0.8457907081 1.130888089 1.7638979538 3.4226630946 4.3720227127 1.02087755275 0.9741404707 0.50075394999 0.482057256Crushed Pebbles, tons 0 0 0 0 0 0 4.8255297573 1.98718619623 1.3671866753Internal Feed, tons 8.3294532615 22.04626421 34.128000092 52.685108647 11.946794455 2.38551403585 8.810697768 4.17436644688 3.3314390922To the Grate, tons 7.4825967702 20.911437966 32.367670892 49.263524811 12.039049216 2.51643841518 6.433693907 3.84098239288 3.5310958755Internal Recycle, tons 7.4825967702 20.911437966 32.367670892 49.263524811 7.5748946733 1.3646500602 3.0110588818 1.68643311997 1.4822073899Mill Discharge, tons 0 0 0 0 4.4641545425 1.15178835498 3.4226350252 2.15454927291 2.0488884856 Actual 0 0 0 0 4.4641545425 1.15178835498 3.4226350252 2.15454927291 2.0488884856To the Crusher, tons 0 0 0 0 4.4641545425 1.15178835498 3.4226350252 0.85199274573 0.4451165865SAG Product, tons 0 0 0 0 0 0 0 1.30255652718 1.6037718991

Iteration 63 Cummulative Energy, KWH/ton 31.5 Cummulative Time, min 32.3829219451 2 3 4 5 6 7 8 9

Make-up Feed, tons 0.8457988542 1.130898981 1.7639149425 3.4226960594 4.3720648211 1.02088738516 0.974149853 0.50075877291 0.4820618988Crushed Pebbles, tons 0 0 0 0 0 0 4.8255875179 1.98720998243 1.3672030402Internal Feed, tons 8.3283956244 22.042336947 34.131585835 52.68622087 11.946959494 2.38553744536 8.8107962527 4.17440187531 3.3314723289To the Grate, tons 7.4816466631 20.907733964 32.370929276 49.264573403 12.03923723 2.51646341851 6.4337607084 3.84099924363 3.531124621Internal Recycle, tons 7.4816466631 20.907733964 32.370929276 49.264573403 7.5750129705 1.36466361936 3.0110901458 1.68644051851 1.482219456

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1.808880633 1.5169195397 1.4169170037 1.1981236369 1.36328369327 1.2011027361 1.1951871536 1.0762592546 0.96661326136 0.84786650611.808880633 1.5169195397 1.4169170037 1.1981236369 1.36328369327 1.2011027361 1.1951871536 1.0762592546 0.96661326136 0.84786650610.259878116 0.1753049388 0.1494469101 0.1222681493 0.13726356772 0.1204183171 0.1196265368 0.10766043292 0.09667222675 0.08479002481.549002517 1.3416146009 1.2674700936 1.0758554877 1.22602012555 1.0806844189 1.0755606169 0.96859882168 0.86994103462 0.7630764813

10 11 12 13 14 15 16 17 18 190.398428393 0.3561544436 0.3229268453 0.2775741696 0.2843791347 0.235194664 0.229936023 0.20857980274 0.19242596065 0.17459377330.819949027 0.5707627905 0.4291591692 0.3217853819 0.29548327905 0.2228476621 0.2014021188 0.16980213334 0.1464067587 0.12465626672.475467081 1.9594500764 1.7065289218 1.4024180718 1.49107938261 1.2598566466 1.2286645713 1.0961298055 0.98334971907 0.86454175343.066000775 2.5494787041 2.371386273 2.0012046436 2.27452604719 2.0029382294 1.9925343509 1.7940258037 1.61114705945 1.41317302231.257102158 1.0325435028 0.9544535177 0.8030675439 0.91122713869 0.8018227965 0.79733474 0.7177553428 0.64452371974 0.56529763481.808898617 1.5169352013 1.4169327553 1.1981370996 1.36329890849 1.2011154329 1.1951996109 1.0762704609 0.96662333971 0.84787538751.808898617 1.5169352013 1.4169327553 1.1981370996 1.36329890849 1.2011154329 1.1951996109 1.0762704609 0.96662333971 0.8478753875

0.2598807 0.1753067488 0.1494485715 0.1222695231 0.13726509968 0.1204195901 0.1196277836 0.10766155391 0.0966732347 0.0847909131.549017917 1.3416284525 1.2674841838 1.0758675765 1.22603380882 1.0806958428 1.0755718273 0.96860890699 0.86995010501 0.7630844745

10 11 12 13 14 15 16 17 18 190.398432301 0.3561579373 0.322930013 0.2775768924 0.2843819243 0.2351969711 0.2299382785 0.20858184879 0.19242784824 0.1745954860.819958998 0.5707697313 0.429164388 0.321789295 0.29548687231 0.222850372 0.2014045679 0.16980419824 0.14640853909 0.12465778262.475493458 1.9594711714 1.7065479187 1.4024337313 1.4910959353 1.2598701397 1.2286775864 1.09614138983 0.98336010707 0.86455090343.066030798 2.5495045556 2.3714120724 2.0012266644 2.27455102556 2.0029591791 1.9925549205 1.79404431075 1.61116370263 1.41318768491.257114468 1.0325539727 0.9544639016 0.8030763807 0.9112371456 0.8018311832 0.7973429712 0.71776274711 0.64453037768 0.5653035001

1.80891633 1.5169505828 1.4169481707 1.1981502837 1.36331387996 1.201127996 1.1952119493 1.07628156363 0.96663332495 0.84788418471.80891633 1.5169505828 1.4169481707 1.1981502837 1.36331387996 1.201127996 1.1952119493 1.07628156363 0.96663332495 0.8478841847

0.259883245 0.1753085264 0.1494501974 0.1222708686 0.13726660709 0.1204208496 0.1196290186 0.10766266454 0.09667423333 0.08479179271.549033085 1.3416420565 1.2674979733 1.0758794151 1.22604727286 1.0807071464 1.0755829308 0.96861889909 0.86995909161 0.763092392

10 11 12 13 14 15 16 17 18 190.398436139 0.3561613675 0.3229331232 0.2775795658 0.28438466327 0.2351992364 0.2299404931 0.20858385771 0.19242970158 0.17459716760.819968813 0.5707765633 0.429169525 0.3217931467 0.29549040922 0.2228530395 0.2014069787 0.16980623076 0.14641029157 0.1246592747

2.47551942 1.9594919036 1.7065665499 1.4024490933 1.49111221809 1.259883459 1.228690443 1.09615283558 0.98337037083 0.86455994243.066060234 2.5495298375 2.3714372251 2.0012481456 2.27457549407 2.002979801 1.9925751859 1.79406254864 1.61118010383 1.41320213131.257126537 1.032564212 0.9544740253 0.8030850009 0.91124694824 0.8018394385 0.7973510806 0.71777004374 0.64453693883 0.565309279

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0.7311777665 0.6385404821 0.5479492004 0.4728121636 0.3887398875 2.3181752063 30.9303 9.0383 21.89190.7311777665 0.6385404821 0.5479492004 0.4728121636 0.3887398875 2.3181752063 30.9303 9.0383 21.89190.0731188074 0.0638543659 0.0547950166 0.0472812458 0.0388739977 0.2318175206 12.2185 9.0383 3.18020.6580589592 0.5746861162 0.4931541838 0.4255309178 0.3498658899 2.0863576856 18.7118 0.0000 18.7118

Deficit -0.0001

20 21 22 23 24 250.1579357888 0.1435104001 0.12915257 0.1168138066 0.1008862527 0.8706148684 18.7121 13.5301 5.18190.1062126781 0.0911777882 0.077720424 0.0667326233 0.0548701301 0.339730672 12.2185 4.8255 7.39300.7516207645 0.6603907627 0.5721762928 0.4987561901 0.4149170056 2.755795678 167.9587 140.3318 27.62691.2186628748 1.0642542799 0.9132621353 0.7880302382 0.6479073453 3.8636659883 167.9587 131.0145 36.9442

0.487477422 0.4257070639 0.3653071533 0.315213086 0.2591633569 1.5454663953 137.0281 121.9760 15.05210.7311854528 0.638547216 0.547954982 0.4728171522 0.3887439885 2.318199593 30.9306 9.0385 21.89210.7311854528 0.638547216 0.547954982 0.4728171522 0.3887439885 2.318199593 30.9306 9.0385 21.8921

0.073119576 0.0638550393 0.0547955948 0.0472817446 0.0388744078 0.2318199593 12.2187 9.0385 3.18020.6580658768 0.5746921768 0.4931593873 0.4255354076 0.3498695807 2.0863796337 18.7120 0.0000 18.7120

Deficit -0.0001

20 21 22 23 24 250.1579373381 0.1435118078 0.1291538369 0.1168149525 0.1008872423 0.8706234087 18.7122 13.5303 5.18200.1062139697 0.091178897 0.0777213691 0.0667334348 0.0548707973 0.3397348033 12.2187 4.8255 7.39310.7516287298 0.6603977687 0.5721823593 0.4987614733 0.4149213965 2.7558246073 167.9590 140.3318 27.62721.2186755624 1.0642653958 0.9132716814 0.7880384768 0.6479141193 3.8637062884 167.9590 131.0144 36.94460.4874824971 0.4257115103 0.3653109718 0.3152163815 0.2591660665 1.5454825154 137.0281 121.9758 15.05220.7311930652 0.6385538855 0.5479607096 0.4728220954 0.3887480528 2.318223773 30.9309 9.0386 21.89240.7311930652 0.6385538855 0.5479607096 0.4728220954 0.3887480528 2.318223773 30.9309 9.0386 21.89240.0731203372 0.0638557062 0.0547961675 0.0472822389 0.0388748142 0.2318223773 12.2188 9.0386 3.1802

0.658072728 0.5746981793 0.4931645421 0.4255398564 0.3498732386 2.0864013957 18.7121 0.0000 18.7121Deficit -0.0001

20 21 22 23 24 250.1579388592 0.14351319 0.1291550808 0.1168160776 0.100888214 0.8706317939 18.7124 13.5304 5.18200.1062152411 0.0911799884 0.0777222994 0.0667342335 0.0548714541 0.3397388699 12.2188 4.8256 7.39320.7516365974 0.6604046887 0.572188352 0.4987666926 0.4149257346 2.7558531792 167.9593 140.3318 27.62741.2186880614 1.064276347 0.9132810878 0.7880465966 0.6479207966 3.863746029 167.9593 131.0143 36.94490.4874874969 0.4257158908 0.3653147343 0.3152196294 0.2591687374 1.5454984116 137.0280 121.9757 15.0524

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Mill Discharge, tons 0 0 0 0 4.4642242592 1.15179979915 3.4226705626 2.15455872512 2.048905165 Actual 0 0 0 0 4.4642242592 1.15179979915 3.4226705626 2.15455872512 2.048905165To the Crusher, tons 0 0 0 0 4.4642242592 1.15179979915 3.4226705626 0.8519964835 0.44512021SAG Product, tons 0 0 0 0 0 0 0 1.30256224162 1.6037849549

Iteration 64 Cummulative Energy, KWH/ton 32 Cummulative Time, min 32.8879579861 2 3 4 5 6 7 8 9

Make-up Feed, tons 0.845806819 1.1309096305 1.763931553 3.4227282904 4.3721059921 1.02089699869 0.9741590264 0.50076348848 0.4820664383Crushed Pebbles, tons 0 0 0 0 0 0 4.8256441167 1.98723329019 1.367219076Internal Feed, tons 8.3274534821 22.038643594 34.134860829 52.687301694 11.947118963 2.38556061806 8.8108932889 4.17443729718 3.3315049704To the Grate, tons 7.4808003086 20.904253175 32.373903197 49.265589229 12.039417777 2.51648822546 6.433826922 3.84101709899 3.5311528464Internal Recycle, tons 7.4808003086 20.904253175 32.373903197 49.265589229 7.5751265694 1.36467707203 3.0111211346 1.68644835814 1.4822313039Mill Discharge, tons 0 0 0 0 4.4642912071 1.15181115343 3.4227057873 2.15456874085 2.0489215425 Actual 0 0 0 0 4.4642912071 1.15181115343 3.4227057873 2.15456874085 2.0489215425To the Crusher, tons 0 0 0 0 4.4642912071 1.15181115343 3.4227057873 0.85200044411 0.445123768SAG Product, tons 0 0 0 0 0 0 0 1.30256829674 1.6037977745

Iteration 65 Cummulative Energy, KWH/ton 32.5 Cummulative Time, min 33.3929948421 2 3 4 5 6 7 8 9

Make-up Feed, tons 0.8458145776 1.1309200044 1.7639477337 3.4227596872 4.3721460977 1.02090636344 0.9741679624 0.50076808201 0.4820708604Crushed Pebbles, tons 0 0 0 0 0 0 4.8256993574 1.98725603868 1.367234727Internal Feed, tons 8.3266148862 22.035173179 34.13785093 52.688348916 11.947272667 2.38558343547 8.8109884544 4.17447247883 3.3315368912To the Grate, tons 7.4800469728 20.900984804 32.376616486 49.266570716 12.039590819 2.5165126996 6.4338921961 3.84103568645 3.5311804437Internal Recycle, tons 7.4800469728 20.900984804 32.376616486 49.266570716 7.5752354466 1.36469034421 3.0111516838 1.68645651921 1.4822428881Mill Discharge, tons 0 0 0 0 4.4643553722 1.15182235539 3.4227405122 2.15457916725 2.0489375556 Actual 0 0 0 0 4.4643553722 1.15182235539 3.4227405122 2.15457916725 2.0489375556To the Crusher, tons 0 0 0 0 4.4643553722 1.15182235539 3.4227405122 0.85200456711 0.4451272468SAG Product, tons 0 0 0 0 0 0 0 1.30257460013 1.6038103088

Iteration 66 Cummulative Energy, KWH/ton 33 Cummulative Time, min 33.8980324921 2 3 4 5 6 7 8 9

Make-up Feed, tons 0.8458221106 1.1309300765 1.7639634437 3.4227901709 4.3721850367 1.02091545579 0.9741766385 0.50077254193 0.4820751538Crushed Pebbles, tons 0 0 0 0 0 0 4.8257530832 1.98727816336 1.3672499488Internal Feed, tons 8.3258690833 22.031914881 34.140579929 52.689360887 11.947420483 2.3856058 8.8110814056 4.17450722449 3.3315679906To the Grate, tons 7.4793769958 20.897918258 32.379091059 49.267516752 12.039756374 2.51653672807 6.4339562402 3.84105477082 3.5312073261Internal Recycle, tons 7.4793769958 20.897918258 32.379091059 49.267516752 7.5753396127 1.36470337471 3.0111816574 1.68646489844 1.4822541722

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1.808933697 1.5169656256 1.4169631998 1.1981631446 1.36332854582 1.2011403624 1.1952241053 1.0762925049 0.96664316501 0.84789285231.808933697 1.5169656256 1.4169631998 1.1981631446 1.36332854582 1.2011403624 1.1952241053 1.0762925049 0.96664316501 0.8478928523

0.25988574 0.1753102648 0.1494517825 0.122272181 0.13726808374 0.1204220894 0.1196302353 0.10766375902 0.09667521745 0.08479265951.549047957 1.3416553608 1.2675114172 1.0758909636 1.22606046208 1.080718273 1.07559387 0.96862874588 0.86996794756 0.7631001927

10 11 12 13 14 15 16 17 18 190.398439891 0.3561647214 0.3229361642 0.2775821798 0.28438734128 0.2352014512 0.2299426584 0.20858582191 0.19243151366 0.1745988117

0.81997843 0.5707832579 0.4291745587 0.321796921 0.29549387499 0.2228556533 0.201409341 0.1698082224 0.1464120088 0.12466073682.475544858 1.9595121913 1.7065847483 1.4024641017 1.49112816452 1.2598965431 1.22870308 1.09616408805 0.98338046128 0.86456882763.066088978 2.5495544703 2.3714616645 2.001269028 2.27459936904 2.0030000086 1.9925950594 1.79408043777 1.61119619146 1.4132162991.257138323 1.0325741883 0.9544838618 0.8030933809 0.9112565131 0.8018475281 0.7973590332 0.71777720084 0.64454337452 0.56531494641.808950655 1.516980282 1.4169778026 1.1981756471 1.36334285594 1.2011524804 1.1952360262 1.07630323693 0.96665281693 0.84790135261.808950655 1.516980282 1.4169778026 1.1981756471 1.36334285594 1.2011524804 1.1952360262 1.07630323693 0.96665281693 0.84790135260.259888176 0.1753119586 0.1494533228 0.1222734569 0.13726952457 0.1204233043 0.1196314284 0.10766483256 0.09667618275 0.08479350961.549062479 1.3416683234 1.2675244799 1.0759021902 1.22607333137 1.0807291761 1.0756045978 0.96863840436 0.86997663418 0.763107843

10 11 12 13 14 15 16 17 18 190.398443546 0.3561679886 0.3229391266 0.277584726 0.28438994998 0.2352036087 0.2299447677 0.20858773528 0.19243327884 0.17460041330.819987817 0.5707897918 0.4291794716 0.3218006047 0.29549725761 0.2228582044 0.2014116466 0.16981016625 0.14641368482 0.12466216392.475569685 1.9595319687 1.70660246 1.4024787117 1.49114372069 1.2599093413 1.2287154475 1.09617510237 0.98339033819 0.86457752363.066116947 2.5495783909 2.3714853388 2.001289266 2.27462258379 2.003019732 1.9926144696 1.79409791327 1.61121190715 1.4132301371.257149791 1.0325838762 0.9544933905 0.8031015023 0.91126581347 0.8018554239 0.7973668004 0.71778419246 0.64454966143 0.56532048181.808967157 1.5169945147 1.4169919483 1.1981877638 1.36335677033 1.2011643081 1.1952476692 1.07631372082 0.96666224571 0.84790965511.808967157 1.5169945147 1.4169919483 1.1981877638 1.36335677033 1.2011643081 1.1952476692 1.07631372082 0.96666224571 0.84790965510.259890547 0.1753136034 0.1494548147 0.1222746934 0.13727092555 0.1204244901 0.1196325938 0.10766588129 0.09667712573 0.0847943399

1.54907661 1.3416809113 1.2675371336 1.0759130704 1.22608584478 1.080739818 1.0756150754 0.96864783953 0.86998511998 0.7631153152

10 11 12 13 14 15 16 17 18 190.398447094 0.3561711606 0.3229420027 0.2775871983 0.2843924828 0.2352057035 0.2299468156 0.208589593 0.19243499268 0.17460196830.819996946 0.5707961466 0.4291842498 0.3218041874 0.29550054746 0.2228606856 0.2014138889 0.16981205679 0.14641531489 0.12466355182.475593831 1.9595511834 1.706619643 1.4024928879 1.49115884373 1.2599218129 1.228727505 1.09618584224 0.983399969 0.8645860023.066144074 2.5496015508 2.3715082096 2.001308825 2.27464508641 2.0030389151 1.9926333593 1.79411492312 1.61122720412 1.41324360441.257160913 1.032593256 0.9545025957 0.8031093511 0.91127482853 0.8018631033 0.7973743593 0.71779099777 0.64455578084 0.5653258691

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0.7312005646 0.6385604562 0.5479663535 0.4728269672 0.3887520592 2.3182476174 30.9313 9.0387 21.89260.7312005646 0.6385604562 0.5479663535 0.4728269672 0.3887520592 2.3182476174 30.9313 9.0387 21.89260.0731210872 0.0638563633 0.0547967319 0.0472827261 0.0388752148 0.2318247617 12.2189 9.0387 3.18020.6580794774 0.5747040929 0.4931696216 0.4255442411 0.3498768444 2.0864228556 18.7123 0.0000 18.7123

Deficit -0.0001

20 21 22 23 24 250.1579403465 0.1435145415 0.129156297 0.1168171776 0.100889164 0.8706399925 18.7126 13.5305 5.18210.1062164868 0.0911810578 0.077723211 0.0667350163 0.0548720977 0.3397428547 12.2189 4.8256 7.39330.7516443302 0.6604114901 0.5721942424 0.4987718233 0.4149299991 2.7558812588 167.9596 140.3318 27.6277

1.218700318 1.0642870861 0.9132903136 0.7880545618 0.6479273478 3.8637850323 167.9596 131.0143 36.94530.4874923996 0.4257201865 0.3653184247 0.3152228155 0.2591713579 1.5455140129 137.0280 121.9755 15.05250.7312079184 0.6385668996 0.5479718889 0.4728317463 0.3887559899 2.3182710194 30.9316 9.0388 21.89280.7312079184 0.6385668996 0.5479718889 0.4728317463 0.3887559899 2.3182710194 30.9316 9.0388 21.89280.0731218226 0.0638570076 0.0547972855 0.047283204 0.0388756079 0.2318271019 12.2191 9.0388 3.18030.6580860958 0.574709892 0.4931746035 0.4255485423 0.349880382 2.0864439175 18.7125 0.0000 18.7125

Deficit -0.0001

20 21 22 23 24 250.1579417953 0.1435158579 0.1291574818 0.1168182492 0.1008900895 0.870647979 18.7128 13.5307 5.18210.1062177027 0.0911821016 0.0777241007 0.0667357802 0.0548727258 0.3397467438 12.2191 4.8257 7.39340.7516518977 0.660418146 0.5722000072 0.4987768449 0.4149341732 2.7559087357 167.9598 140.3318 27.62801.2187122883 1.0642975746 0.9132993256 0.7880623436 0.6479337489 3.8638231535 167.9598 131.0142 36.94560.4874971878 0.425724382 0.3653220295 0.3152259282 0.2591739183 1.5455292614 137.0279 121.9753 15.05260.7312151004 0.6385731926 0.5479772961 0.4728364154 0.3887598306 2.3182938921 30.9319 9.0389 21.89300.7312151004 0.6385731926 0.5479772961 0.4728364154 0.3887598306 2.3182938921 30.9319 9.0389 21.89300.0731225408 0.0638576369 0.0547978262 0.0472836709 0.038875992 0.2318293892 12.2192 9.0389 3.18030.6580925596 0.5747155557 0.4931794699 0.4255527444 0.3498838386 2.0864645029 18.7127 0.0000 18.7127

Deficit -0.0001

20 21 22 23 24 250.157943202 0.1435171361 0.1291586321 0.1168192896 0.100890988 0.8706557331 18.7129 13.5308 5.1822

0.1062188853 0.0911831167 0.077724966 0.0667365232 0.0548733368 0.3397505263 12.2192 4.8258 7.39350.7516592751 0.6604246348 0.5722056276 0.498781741 0.4149382431 2.7559355208 167.9601 140.3318 27.6283

1.218723937 1.0643077817 0.9133080968 0.7880699185 0.6479399806 3.8638602759 167.9601 131.0142 36.94590.4875018475 0.4257284649 0.365325538 0.3152289582 0.259176411 1.5455441104 137.0279 121.9751 15.0528

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Mill Discharge, tons 0 0 0 0 4.4644167611 1.15183335335 3.4227745828 2.15458987237 2.0489531539 Actual 0 0 0 0 4.4644167611 1.15183335335 3.4227745828 2.15458987237 2.0489531539To the Crusher, tons 0 0 0 0 4.4644167611 1.15183335335 3.4227745828 0.85200880034 0.4451306355SAG Product, tons 0 0 0 0 0 0 0 1.30258107204 1.6038225184

Iteration 67 Cummulative Energy, KWH/ton 33.5 Cummulative Time, min 34.4030709151 2 3 4 5 6 7 8 9

Make-up Feed, tons 0.8458294028 1.1309398268 1.7639786516 3.4228196804 4.3722227314 1.02092425759 0.9741850374 0.50077685933 0.48207931Crushed Pebbles, tons 0 0 0 0 0 0 4.8258051719 1.98729961385 1.3672647067Internal Feed, tons 8.3252063986 22.028858085 34.14306971 52.690336432 11.947562344 2.3856276323 8.8111718667 4.17454137162 3.3315981889To the Grate, tons 7.4787816863 20.895043189 32.381347062 49.26842662 12.039914506 2.51656021862 6.4340188175 3.84107414994 3.5312334251Internal Recycle, tons 7.4787816863 20.895043189 32.381347062 49.26842662 7.5754391082 1.3647161135 3.0112109444 1.6864734071 1.4822651275Mill Discharge, tons 0 0 0 0 4.4644753973 1.15184410511 3.4228078731 2.15460074284 2.0489682976 Actual 0 0 0 0 4.4644753973 1.15184410511 3.4228078731 2.15460074284 2.0489682976To the Crusher, tons 0 0 0 0 4.4644753973 1.15184410511 3.4228078731 0.85201309894 0.4451339255SAG Product, tons 0 0 0 0 0 0 0 1.3025876439 1.6038343721

Iteration 68 Cummulative Energy, KWH/ton 34 Cummulative Time, min 34.9081100871 2 3 4 5 6 7 8 9

Make-up Feed, tons 0.8458364432 1.1309492404 1.7639933344 3.4228481708 4.3722591244 1.02093275542 0.9741931462 0.50078102763 0.4820833226Crushed Pebbles, tons 0 0 0 0 0 0 4.8258555311 1.98732035209 1.3672789747Internal Feed, tons 8.3246181295 22.025992429 34.145340396 52.691274791 11.947698233 2.38564886893 8.8112596217 4.17457478682 3.3316274248To the Grate, tons 7.4782532265 20.892349529 32.38340301 49.269299946 12.040065317 2.51658309704 6.4340797376 3.84109365094 3.5312586881Internal Recycle, tons 7.4782532265 20.892349529 32.38340301 49.269299946 7.5755339977 1.36472852034 3.0112394559 1.68648196927 1.4822757318Mill Discharge, tons 0 0 0 0 4.4645313191 1.1518545767 3.4228402817 2.15461168167 2.0489829562 Actual 0 0 0 0 4.4645313191 1.1518545767 3.4228402817 2.15461168167 2.0489829562To the Crusher, tons 0 0 0 0 4.4645313191 1.1518545767 3.4228402817 0.85201742458 0.44513711SAG Product, tons 0 0 0 0 0 0 0 1.30259425709 1.6038458462

Iteration 69 Cummulative Energy, KWH/ton 34.5 Cummulative Time, min 35.4131499821 2 3 4 5 6 7 8 9

Make-up Feed, tons 0.845843224 1.1309583069 1.7640074759 3.4228756109 4.3722941756 1.02094093998 0.974200956 0.50078504226 0.4820871874Crushed Pebbles, tons 0 0 0 0 0 0 4.825904094 1.98734035063 1.3672927337Internal Feed, tons 8.3240964506 22.023307836 34.147410486 52.692175557 11.947828173 2.38566946031 8.8113445059 4.17460736216 3.3316556529To the Grate, tons 7.4777845868 20.889827522 32.38527591 49.270136647 12.040208943 2.51660530479 6.4341388509 3.84111312677 3.5312830762Internal Recycle, tons 7.4777845868 20.889827522 32.38527591 49.270136647 7.5756243661 1.36474056348 3.0112671217 1.68649052038 1.482285969

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1.808983161 1.5170082948 1.4170056139 1.1981994739 1.36337025788 1.2011758118 1.195259 1.07632392535 0.96667142328 0.84791773531.808983161 1.5170082948 1.4170056139 1.1981994739 1.36337025788 1.2011758118 1.195259 1.07632392535 0.96667142328 0.84791773530.259892846 0.1753151959 0.1494562561 0.1222758884 0.13727228356 0.1204256435 0.1196337279 0.10766690207 0.0966780436 0.08479514791.549090315 1.3416930989 1.2675493578 1.0759235855 1.22609797432 1.0807501683 1.0756252721 0.96865702328 0.86999337969 0.7631225874

10 11 12 13 14 15 16 17 18 190.398450529 0.3561742314 0.3229447869 0.2775895915 0.28439493468 0.2352077313 0.2299487981 0.20859139135 0.19243665176 0.17460347370.820005797 0.5708023077 0.4291888824 0.3218076609 0.29550373707 0.2228630911 0.201416063 0.16981388972 0.14641689528 0.12466489742.475617239 1.9595697951 1.706636265 1.4025066035 1.49117350028 1.2599339257 1.2287392204 1.09619627884 0.98340932788 0.86459424013.066170311 2.5496239142 2.3715302496 2.0013276804 2.27466683775 2.0030575144 1.9926516838 1.79413142648 1.61124204565 1.4132566692

1.25717167 1.0326023132 0.9545114665 0.8031169176 0.91128354261 0.8018705491 0.7973816921 0.71779760045 0.64456171805 0.56533109531.80899864 1.517021601 1.4170187831 1.1982107628 1.36338329514 1.2011869654 1.1952699917 1.07633382603 0.9666803276 0.84792557391.80899864 1.517021601 1.4170187831 1.1982107628 1.36338329514 1.2011869654 1.1952699917 1.07633382603 0.9666803276 0.84792557390.25989507 0.1753167337 0.1494576451 0.1222770404 0.13727359623 0.1204267617 0.119634828 0.10766789246 0.09667893413 0.08479593181.54910357 1.3417048674 1.267561138 1.0759337223 1.22610969891 1.0807602037 1.0756351637 0.96866593358 0.87000139347 0.7631296421

10 11 12 13 14 15 16 17 18 190.398453846 0.356177196 0.322947475 0.277591902 0.28439730189 0.2352096891 0.2299507121 0.20859312759 0.19243825353 0.1746049270.820014354 0.5708082643 0.4291933611 0.3218110191 0.29550682076 0.2228654168 0.2014181648 0.1698156618 0.1464184232 0.1246661983

2.47563987 1.9595877735 1.7066523026 1.4025198388 1.49118766527 1.2599456549 1.228750569 1.09620638984 0.98341839478 0.86460222063.06619562 2.5496454561 2.3715514413 2.0013458161 2.27468780975 2.0030754968 1.9926694089 1.79414739222 1.61125640372 1.4132693071

1.257182047 1.0326110377 0.9545199959 0.8031241953 0.91129194448 0.8018777478 0.797388785 0.71780398803 0.64456746185 0.56533615071.809013572 1.5170344184 1.4170314454 1.1982216207 1.36339586528 1.201197749 1.1952806239 1.07634340418 0.96668894186 0.84793315641.809013572 1.5170344184 1.4170314454 1.1982216207 1.36339586528 1.201197749 1.1952806239 1.07634340418 0.96668894186 0.84793315640.259897216 0.1753182149 0.1494589806 0.1222781485 0.13727486187 0.1204278428 0.1196358922 0.10766885058 0.09667979565 0.08479669011.549116357 1.3417162035 1.2675724648 1.0759434722 1.22612100341 1.0807699062 1.0756447317 0.96867455361 0.87000914621 0.7631364663

10 11 12 13 14 15 16 17 18 190.39845704 0.3561800514 0.322950064 0.2775941274 0.28439958183 0.2352115747 0.2299525556 0.20859479983 0.19243979626 0.1746063268

0.820022606 0.5708140083 0.4291976801 0.3218142575 0.29550979447 0.2228676595 0.2014201917 0.16981737066 0.14641989662 0.12466745282.475661693 1.9596050975 1.70666774 1.4025325803 1.49120132077 1.259956982 1.2287615323 1.09621615853 0.98342715473 0.86460993033.066219977 2.5496661607 2.3715717755 2.0013632231 2.27470798385 2.0030928385 1.9926865097 1.79416279758 1.61127025787 1.41328150011.257192034 1.0326194231 0.9545281802 0.8031311807 0.91130002668 0.8018846901 0.797395628 0.71781015142 0.64457300407 0.5653410281

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0.7312220895 0.6385793168 0.5479825588 0.4728409604 0.3887635696 2.3183161656 30.9322 9.0390 21.89320.7312220895 0.6385793168 0.5479825588 0.4728409604 0.3887635696 2.3183161656 30.9322 9.0390 21.89320.0731232397 0.0638582493 0.0547983524 0.0472841254 0.0388763659 0.2318316166 12.2193 9.0390 3.18030.6580988498 0.5747210675 0.4931842064 0.4255568349 0.3498872037 2.086484549 18.7128 0.0000 18.7128

Deficit -0.0001

20 21 22 23 24 250.1579445637 0.1435183734 0.1291597456 0.1168202968 0.1008918579 0.8706632394 18.7131 13.5309 5.18220.1062200318 0.0911841009 0.077725805 0.0667372435 0.0548739291 0.3397541935 12.2193 4.8258 7.3935

0.751666443 0.6604309392 0.5722110886 0.4987864985 0.4149421979 2.7559615433 167.9603 140.3318 27.62851.2187352367 1.0643176831 0.9133166065 0.7880772685 0.6479460278 3.8638963077 167.9603 131.0141 36.94630.4875063674 0.4257324255 0.3653289419 0.3152318982 0.2591788299 1.5455585231 137.0279 121.9750 15.05290.7312288692 0.6385852576 0.5479876646 0.4728453703 0.3887671979 2.3183377846 30.9325 9.0391 21.89340.7312288692 0.6385852576 0.5479876646 0.4728453703 0.3887671979 2.3183377846 30.9325 9.0391 21.89340.0731239177 0.0638588434 0.054798863 0.0472845664 0.0388767287 0.2318337785 12.2195 9.0391 3.18030.6581049515 0.5747264142 0.4931888016 0.4255608039 0.3498904692 2.0865040062 18.7130 0.0000 18.7130

Deficit -0.0001

20 21 22 23 24 250.1579458784 0.143519568 0.1291608207 0.1168212691 0.1008926977 0.8706704865 18.7133 13.5310 5.18220.1062211403 0.0911850525 0.0777266161 0.06673794 0.0548745017 0.339757739 12.2195 4.8259 7.39360.7516733861 0.660437046 0.5722163787 0.4987911073 0.4149460292 2.7559867486 167.9606 140.3318 27.62881.2187461663 1.0643272605 0.9133248385 0.7880843795 0.6479518789 3.8639311787 167.9606 131.0140 36.94660.4875107394 0.4257362565 0.3653322347 0.3152347426 0.2591811703 1.5455724715 137.0278 121.9748 15.05300.7312354269 0.638591004 0.5479926038 0.4728496369 0.3887707086 2.3183587072 30.9328 9.0392 21.89350.7312354269 0.638591004 0.5479926038 0.4728496369 0.3887707086 2.3183587072 30.9328 9.0392 21.89350.0731245735 0.0638594181 0.0547993569 0.0472849931 0.0388770798 0.2318358707 12.2196 9.0392 3.18040.6581108534 0.5747315859 0.4931932468 0.4255646438 0.3498936288 2.0865228365 18.7132 0.0000 18.7132

Deficit -0.0001

20 21 22 23 24 250.1579471446 0.1435207186 0.1291618562 0.1168222057 0.1008935065 0.8706774665 18.7134 13.5311 5.18230.1062222092 0.0911859701 0.0777273983 0.0667386116 0.0548750539 0.339761158 12.2196 4.8259 7.39370.7516800932 0.6604429452 0.5722214892 0.4987955598 0.4149497307 2.7560110959 167.9608 140.3318 27.62901.2187567107 1.0643365005 0.9133327813 0.7880912412 0.6479575255 3.863964837 167.9608 131.0140 36.94690.4875149573 0.4257399525 0.3653354119 0.3152374873 0.259183429 1.5455859348 137.0278 121.9747 15.0531

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Mill Discharge, tons 0 0 0 0 4.4645845764 1.15186474132 3.4228717291 2.15462260639 2.0489971073 Actual 0 0 0 0 4.4645845764 1.15186474132 3.4228717291 2.15462260639 2.0489971073To the Crusher, tons 0 0 0 0 4.4645845764 1.15186474132 3.4228717291 0.85202174464 0.4451401843SAG Product, tons 0 0 0 0 0 0 0 1.30260086175 1.603856923

Iteration 70 Cummulative Energy, KWH/ton 35 Cummulative Time, min 35.9181905731 2 3 4 5 6 7 8 9

Make-up Feed, tons 0.8458497405 1.1309670199 1.764021066 3.4229019811 4.3723278603 1.02094880544 0.9742084614 0.50078890037 0.4820909014Crushed Pebbles, tons 0 0 0 0 0 0 4.8259508163 1.98735959119 1.3673059712Internal Feed, tons 8.3236343274 22.020794542 34.149296976 52.693038629 11.947952226 2.38568936891 8.8114263994 4.17463901194 3.3316828416To the Grate, tons 7.4773694477 20.887467741 32.386981382 49.270936889 12.040345544 2.51662679699 6.4341960431 3.84113245322 3.5313065626Internal Recycle, tons 7.4773694477 20.887467741 32.386981382 49.270936889 7.575710315 1.36475221857 3.0112938885 1.68649900591 1.4822958276Mill Discharge, tons 0 0 0 0 4.4646352291 1.15187457842 3.4229021546 2.15463344731 2.049010735 Actual 0 0 0 0 4.4646352291 1.15187457842 3.4229021546 2.15463344731 2.049010735To the Crusher, tons 0 0 0 0 4.4646352291 1.15187457842 3.4229021546 0.85202603156 0.4451431449SAG Product, tons 0 0 0 0 0 0 0 1.30260741574 1.6038675901

Iteration 71 Cummulative Energy, KWH/ton 35.5 Cummulative Time, min 36.4232318361 2 3 4 5 6 7 8 9

Make-up Feed, tons 0.8458559903 1.1309753764 1.7640341 3.4229272722 4.3723601665 1.020956349 0.9742156596 0.50079260059 0.4820944635Crushed Pebbles, tons 0 0 0 0 0 0 4.8259956726 1.98737806332 1.3673186801Internal Feed, tons 8.3232254381 22.018443118 34.151015482 52.693864162 11.948070482 2.38570856757 8.8115052207 4.17466966982 3.3317089712To the Grate, tons 7.4770021302 20.885261105 32.388533765 49.271701048 12.040475304 2.51664754053 6.4342512305 3.84115152617 3.5313291305Internal Recycle, tons 7.4770021302 20.885261105 32.388533765 49.271701048 7.5757919592 1.36476346767 3.0113197169 1.68650738014 1.4823053006Mill Discharge, tons 0 0 0 0 4.4646833449 1.15188407286 3.4229315135 2.15464414603 2.0490238299 Actual 0 0 0 0 4.4646833449 1.15188407286 3.4229315135 2.15464414603 2.0490238299To the Crusher, tons 0 0 0 0 4.4646833449 1.15188407286 3.4229315135 0.85203026226 0.4451459897SAG Product, tons 0 0 0 0 0 0 0 1.30261388378 1.6038778401

Iteration 72 Cummulative Energy, KWH/ton 36 Cummulative Time, min 36.9282737411 2 3 4 5 6 7 8 9

Make-up Feed, tons 0.8458619732 1.130983376 1.7640465774 3.4229514833 4.3723910931 1.02096357044 0.9742225504 0.5007961428 0.4820978734Crushed Pebbles, tons 0 0 0 0 0 0 4.8260386539 1.98739576331 1.3673308577Internal Feed, tons 8.3228641035 22.016244481 34.152580342 52.694652531 11.948183052 2.38572703811 8.8115809212 4.17469928624 3.3317340318To the Grate, tons 7.4766775326 20.883198888 32.389946218 49.272429673 12.040598422 2.51666751251 6.4343043556 3.84117025919 3.5313507719Internal Recycle, tons 7.4766775326 20.883198888 32.389946218 49.272429673 7.5758694241 1.36477429836 3.0113445803 1.68651560511 1.4823143848

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1.809027943 1.5170467376 1.4170435953 1.1982320425 1.36340795717 1.2012081484 1.1952908816 1.07635264615 0.9666972538 0.8479404721.809027943 1.5170467376 1.4170435953 1.1982320425 1.36340795717 1.2012081484 1.1952908816 1.07635264615 0.9666972538 0.847940472

0.25989928 0.1753196386 0.1494602621 0.122279212 0.13727607935 0.1204288854 0.1196369189 0.10766977507 0.09668062694 0.08479742171.549128663 1.341727099 1.2675833332 1.0759528304 1.22613187782 1.080779263 1.0756539627 0.96868287108 0.87001662686 0.7631430503

10 11 12 13 14 15 16 17 18 190.39846011 0.3561827955 0.3229525521 0.277596266 0.28440177288 0.2352133868 0.2299543272 0.20859640687 0.19244127884 0.174607672

0.820030545 0.5708195347 0.4292018354 0.3218173732 0.29551265546 0.2228698172 0.2014221418 0.16981901476 0.14642131419 0.12466865982.475682689 1.9596217533 1.7066825677 1.4025448199 1.49121445503 1.2599678941 1.228772097 1.09622557305 0.98343559711 0.86461735993.066243368 2.5496860203 2.3715912502 2.0013798989 2.27472734964 2.0031095235 1.9927029694 1.79417762706 1.61128359417 1.41329323631.257201625 1.0326274663 0.9545360185 0.8031378725 0.91130778506 0.8018913695 0.7974022146 0.71781608441 0.64457833913 0.56534572291.809041743 1.5170585541 1.4170552317 1.1982420264 1.36341956458 1.201218154 1.1953007548 1.07636154264 0.96670525504 0.84794751351.809041743 1.5170585541 1.4170552317 1.1982420264 1.36341956458 1.201218154 1.1953007548 1.07636154264 0.96670525504 0.84794751350.259901263 0.1753210042 0.1494614895 0.1222802309 0.13727724805 0.1204298885 0.1196379071 0.10767066501 0.09668142715 0.0847981259

1.54914048 1.3417375498 1.2675937422 1.0759617955 1.22614231653 1.0807882655 1.0756628477 0.96869087764 0.87002382789 0.7631493876

10 11 12 13 14 15 16 17 18 190.398463054 0.3561854272 0.3229549383 0.2775983171 0.28440387427 0.2352151248 0.2299560262 0.20859794814 0.19244270075 0.17460896210.820038167 0.5708248404 0.4292058248 0.3218203644 0.2955154022 0.2228718887 0.201424014 0.1698205932 0.14642267515 0.12466981862.475702846 1.9596377339 1.7066967815 1.4025565541 1.49122706152 1.259978383 1.2287822548 1.09623462575 0.98344371503 0.86462450353.066265787 2.5497050339 2.3716098691 2.0013958459 2.2747459037 2.0031255429 1.9927187779 1.79419187137 1.61129640425 1.41330450861.257210817 1.0326351668 0.9545435124 0.8031442719 0.91131521824 0.8018977824 0.7974085405 0.71782178329 0.64458346368 0.565350232

1.80905497 1.5170698671 1.4170663567 1.198251574 1.36343068546 1.2012277605 1.1953102374 1.07637008808 0.96671294057 0.84795427661.80905497 1.5170698671 1.4170663567 1.198251574 1.36343068546 1.2012277605 1.1953102374 1.07637008808 0.96671294057 0.8479542766

0.259903163 0.1753223116 0.1494626629 0.1222812052 0.13727836777 0.1204308516 0.1196388562 0.10767151982 0.09668219579 0.08479880221.549151807 1.3417475555 1.2676036939 1.0759703688 1.22615231769 1.0807969088 1.0756713811 0.96869856826 0.87003074478 0.7631554744

10 11 12 13 14 15 16 17 18 190.398465873 0.3561879466 0.3229572226 0.2776002806 0.28440588591 0.2352167885 0.2299576528 0.2085994236 0.19244406194 0.1746101971

0.82004547 0.5708299243 0.4292096474 0.3218232306 0.29551803412 0.2228738736 0.2014258079 0.16982210565 0.14642397922 0.12467092892.47572216 1.9596530377 1.7067103824 1.4025677832 1.49123913827 1.2599884446 1.2287920012 1.09624331254 0.98345150483 0.864631358

3.066287236 2.5497232063 2.3716276413 2.0014110712 2.27476364848 2.0031408932 1.9927339311 1.79420552653 1.61130868452 1.41331531371.257219612 1.0326425267 0.9545506655 0.8031503817 0.9113223272 0.8019039275 0.7974146043 0.71782724646 0.64458837628 0.5653545543

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0.7312417534 0.6385965479 0.5479973694 0.4728537539 0.3887740965 2.3183789022 30.9330 9.0393 21.89370.7312417534 0.6385965479 0.5479973694 0.4728537539 0.3887740965 2.3183789022 30.9330 9.0393 21.89370.0731252061 0.0638599725 0.0547998335 0.0472854048 0.0388774186 0.2318378902 12.2197 9.0393 3.18040.6581165473 0.5747365755 0.4931975359 0.4255683491 0.349896678 2.086541012 18.7133 0.0000 18.7133

Deficit -0.0001

20 21 22 23 24 250.1579483614 0.1435218243 0.1291628512 0.1168231057 0.1008942838 0.8706841743 18.7135 13.5312 5.18230.1062232376 0.0911868529 0.0777281508 0.0667392577 0.0548755852 0.3397644474 12.2197 4.8260 7.39380.7516865563 0.6604486297 0.5722264139 0.4987998507 0.4149532979 2.7560345565 167.9611 140.3318 27.62921.2187668595 1.0643453939 0.9133404269 0.7880978469 0.6479629616 3.863997247 167.9611 131.0139 36.94710.4875190169 0.4257435099 0.3653384701 0.3152401295 0.2591856034 1.5455988988 137.0278 121.9745 15.05330.7312478426 0.638601884 0.5480019568 0.4728577173 0.3887773582 2.3183983482 30.9333 9.0394 21.89390.7312478426 0.638601884 0.5480019568 0.4728577173 0.3887773582 2.3183983482 30.9333 9.0394 21.89390.0731258151 0.0638605061 0.0548002922 0.0472858011 0.0388777447 0.2318398348 12.2198 9.0394 3.18040.6581220275 0.5747413779 0.4932016645 0.4255719162 0.3498996135 2.0865585134 18.7135 0.0000 18.7135

Deficit -0.0001

20 21 22 23 24 250.1579495285 0.1435228847 0.1291638056 0.1168239689 0.1008950293 0.8706906076 18.7137 13.5313 5.18240.1062242249 0.0911877005 0.0777288733 0.066739878 0.0548760952 0.3397676055 12.2198 4.8260 7.39380.7516927702 0.6604540952 0.572231149 0.4988039764 0.4149567279 2.7560571119 167.9613 140.3318 27.62951.2187766065 1.0643539354 0.9133477705 0.7881041921 0.6479681839 3.8640283869 167.9613 131.0139 36.94740.4875229158 0.4257469266 0.3653414076 0.3152426677 0.2591876923 1.5456113548 137.0277 121.9744 15.05340.7312536907 0.6386070088 0.5480063629 0.4728615245 0.3887804916 2.3184170321 30.9335 9.0395 21.89400.7312536907 0.6386070088 0.5480063629 0.4728615245 0.3887804916 2.3184170321 30.9335 9.0395 21.89400.0731263999 0.0638610186 0.0548007329 0.0472861819 0.0388780581 0.2318417032 12.2199 9.0395 3.18040.6581272908 0.5747459903 0.4932056301 0.4255753426 0.3499024335 2.0865753289 18.7136 0.0000 18.7136

Deficit -0.0001

20 21 22 23 24 250.1579506457 0.1435238999 0.1291647192 0.1168247952 0.1008957429 0.8706967661 18.7138 13.5314 5.18240.1062251709 0.0911885126 0.0777295655 0.0667404724 0.054876584 0.3397706315 12.2199 4.8260 7.39390.7516987324 0.6604593391 0.5722356923 0.4988079353 0.4149600192 2.7560787524 167.9615 140.3318 27.62971.2187859492 1.0643621228 0.9133548102 0.7881102753 0.6479731907 3.8640582465 167.9615 131.0138 36.9477

0.487526653 0.4257502016 0.3653442235 0.3152451009 0.2591896951 1.5456232986 137.0277 121.9742 15.0535

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Mill Discharge, tons 0 0 0 0 4.4647289978 1.15189321415 3.4229597754 2.15465465408 2.0490363871 Actual 0 0 0 0 4.4647289978 1.15189321415 3.4229597754 2.15465465408 2.0490363871To the Crusher, tons 0 0 0 0 4.4647289978 1.15189321415 3.4229597754 0.85203441755 0.4451487178SAG Product, tons 0 0 0 0 0 0 0 1.30262023653 1.6038876694

Iteration 73 Cummulative Energy, KWH/ton 36.5 Cummulative Time, min 37.4333162641 2 3 4 5 6 7 8 9

Make-up Feed, tons 0.8458676909 1.1309910209 1.7640585015 3.4229746208 4.3724206484 1.02097047166 0.9742291357 0.50079952794 0.4821011322Crushed Pebbles, tons 0 0 0 0 0 0 4.8260797649 1.9874126931 1.3673425054Internal Feed, tons 8.3225452235 22.014189909 34.154004719 52.695404294 11.948290073 2.38574477003 8.8116534809 4.17472782615 3.3317580224To the Grate, tons 7.4763910731 20.881272727 32.391230814 49.273123463 12.04071511 2.51668669877 6.4343553839 3.84118858138 3.5313714862Internal Recycle, tons 7.4763910731 20.881272727 32.391230814 49.273123463 7.5759428434 1.36478470296 3.0113684622 1.68652364971 1.4823230798Mill Discharge, tons 0 0 0 0 4.4647722663 1.15190199581 3.4229869217 2.15466493167 2.0490484064 Actual 0 0 0 0 4.4647722663 1.15190199581 3.4229869217 2.15466493167 2.0490484064To the Crusher, tons 0 0 0 0 4.4647722663 1.15190199581 3.4229869217 0.85203848171 0.4451513289SAG Product, tons 0 0 0 0 0 0 0 1.30262644996 1.6038970775

Iteration 74 Cummulative Energy, KWH/ton 37 Cummulative Time, min 37.9383593751 2 3 4 5 6 7 8 9

Make-up Feed, tons 0.8458731463 1.1309983153 1.7640698788 3.4229966973 4.3724488484 1.02097705643 0.974235419 0.50080275786 0.4821042415Crushed Pebbles, tons 0 0 0 0 0 0 4.826119022 1.98742885946 1.3673536279Internal Feed, tons 8.3222642194 22.012271042 34.155300693 52.69612016 11.948391692 2.38576175939 8.8117229033 4.17475526702 3.3317809492To the Grate, tons 7.4761386388 20.879474622 32.392398627 49.273783231 12.040825589 2.51670509264 6.4344043 3.84120643545 3.5313912791Internal Recycle, tons 7.4761386388 20.879474622 32.392398627 49.273783231 7.5760123565 1.36479467785 3.0113913556 1.68653148877 1.482331388Mill Discharge, tons 0 0 0 0 4.4648132329 1.15191041479 3.4230129443 2.15467494668 2.0490598911 Actual 0 0 0 0 4.4648132329 1.15191041479 3.4230129443 2.15467494668 2.0490598911To the Crusher, tons 0 0 0 0 4.4648132329 1.15191041479 3.4230129443 0.85204244203 0.4451538239SAG Product, tons 0 0 0 0 0 0 0 1.30263250465 1.6039060671

Iteration 75 Cummulative Energy, KWH/ton 37.5 Cummulative Time, min 38.4434030491 2 3 4 5 6 7 8 9

Make-up Feed, tons 0.8458783439 1.1310052649 1.7640807184 3.4230177305 4.3724757156 1.02098332999 0.9742414054 0.50080583512 0.4821072039Crushed Pebbles, tons 0 0 0 0 0 0 4.8261564514 1.98744427314 1.3673642325Internal Feed, tons 8.3220169828 22.010479887 34.156479346 52.696800962 11.948488072 2.38577800784 8.8117892124 4.17478159703 3.3318028244To the Grate, tons 7.4759165387 20.877796937 32.393459807 49.27440989 12.040930089 2.51672269379 6.4344511048 3.84122377596 3.5314101614Internal Recycle, tons 7.4759165387 20.877796937 32.393459807 49.27440989 7.5760781072 1.36480422285 3.0114132609 1.68653910234 1.482339314

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1.809067625 1.5170806797 1.4170769759 1.1982606895 1.36344132127 1.2012369657 1.1953193269 1.07637828007 0.96672030824 0.84796075951.809067625 1.5170806797 1.4170769759 1.1982606895 1.36344132127 1.2012369657 1.1953193269 1.07637828007 0.96672030824 0.84796075950.259904981 0.1753235612 0.1494637829 0.1222821354 0.13727943865 0.1204317745 0.119639766 0.10767233928 0.09668293264 0.08479945051.549162644 1.3417571185 1.267613193 1.0759785541 1.22616188263 1.0808051912 1.0756795609 0.96870594079 0.8700373756 0.7631613089

10 11 12 13 14 15 16 17 18 190.398468566 0.3561903543 0.3229594056 0.2776021571 0.28440780836 0.2352183785 0.2299592072 0.20860083363 0.19244536277 0.17461137740.820052456 0.5708347869 0.4292133036 0.3218259721 0.29552055151 0.2228757722 0.2014275237 0.1698235523 0.14642522654 0.12467199092.475740633 1.9596676679 1.7067233747 1.4025785109 1.49125068707 1.2599980782 1.2288013352 1.09625163239 0.98345896559 0.86463792263.066307723 2.5497405471 2.3716445799 2.0014255855 2.27478059142 2.0031555763 1.9927484299 1.79421859307 1.61132043547 1.41332565241.257228011 1.0326495497 0.9545574831 0.8031562062 0.91132911493 0.8019098055 0.7974204061 0.71783247413 0.64459307713 0.565358691.809079712 1.5170909974 1.4170870969 1.1982693793 1.36345147649 1.2012457708 1.1953280238 1.07638611894 0.96672735833 0.84796696251.809079712 1.5170909974 1.4170870969 1.1982693793 1.36345147649 1.2012457708 1.1953280238 1.07638611894 0.96672735833 0.84796696250.259906718 0.1753247536 0.1494648504 0.1222830222 0.13728046114 0.1204326573 0.1196406365 0.10767312342 0.09668363773 0.08480007091.549172994 1.3417662438 1.2676222465 1.0759863571 1.22617101535 1.0808131135 1.0756873873 0.96871299552 0.8700437206 0.7631668916

10 11 12 13 14 15 16 17 18 190.398471136 0.3561926515 0.3229614886 0.2776039475 0.28440964265 0.2352198955 0.2299606903 0.20860217901 0.19244660395 0.17461250360.820059127 0.5708394303 0.429216795 0.32182859 0.29552295538 0.2228775852 0.2014291622 0.16982493371 0.14642641762 0.12467300512.475758274 1.9596816316 1.7067357666 1.4025887436 1.49126171297 1.2600072862 1.2288102586 1.09625958684 0.9834660987 0.8646441986

3.06632726 2.5497570699 2.3716607016 2.0014394023 2.27479674412 2.0031695978 1.9927622793 1.79423107533 1.61133166099 1.41333552831.257236022 1.0326562415 0.9545639718 0.8031617508 0.91133558607 0.8019154186 0.7974259481 0.71783746805 0.64459756779 0.56536264051.809091238 1.5171008284 1.4170967298 1.1982776516 1.36346115805 1.2012541791 1.1953363312 1.07639360729 0.9667340932 0.84797288781.809091238 1.5171008284 1.4170967298 1.1982776516 1.36346115805 1.2012541791 1.1953363312 1.07639360729 0.9667340932 0.84797288780.259908374 0.1753258897 0.1494658664 0.1222838664 0.13728143593 0.1204335003 0.119641468 0.1076738725 0.09668431129 0.08480066341.549182865 1.3417749387 1.2676308634 1.0759937851 1.22617972211 1.0808206789 1.0756948632 0.96871973479 0.8700497819 0.7631722244

10 11 12 13 14 15 16 17 18 190.398473584 0.3561948402 0.3229634731 0.2776056533 0.28441139026 0.2352213408 0.2299621033 0.2086034608 0.19244778647 0.17461357650.820065487 0.5708438575 0.4292201238 0.3218310859 0.29552524734 0.2228793137 0.2014307244 0.1698262508 0.14642755324 0.1246739722.475775093 1.9596949392 1.7067475687 1.40259849 1.49127222367 1.2600160732 1.2288187758 1.09626717964 0.9834729075 0.8646501893.066345865 2.5497727916 2.3716760257 2.001452538 2.2748121216 2.003182967 1.9927754877 1.79424298086 1.61134236787 1.4133449472

1.25724365 1.0326626088 0.9545701396 0.803167022 0.91134174665 0.8019207707 0.7974312336 0.71784223122 0.64460185098 0.5653664082

Page 134: SAGSim Recycle

Mill

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0.7312592963 0.6386119212 0.5480105867 0.4728651743 0.3887834957 2.3184349479 30.9338 9.0396 21.89420.7312592963 0.6386119212 0.5480105867 0.4728651743 0.3887834957 2.3184349479 30.9338 9.0396 21.89420.0731269604 0.0638615098 0.0548011552 0.0472865468 0.0388783585 0.2318434948 12.2200 9.0396 3.18050.6581323358 0.5747504114 0.4932094315 0.4255786275 0.3499051372 2.0865914531 18.7137 0.0000 18.7137

Deficit -0.0001

20 21 22 23 24 250.1579517133 0.1435248701 0.1291655923 0.1168255849 0.1008964249 0.8707026516 18.7139 13.5315 5.18240.1062260758 0.0911892894 0.0777302277 0.066741041 0.0548770514 0.3397735259 12.2200 4.8261 7.39400.7517044422 0.6604643611 0.5722400434 0.4988117267 0.4149631714 2.7560994761 167.9617 140.3318 27.62991.2187948883 1.0643699565 0.9133615463 0.7881160964 0.6479779822 3.8640868259 167.9617 131.0138 36.94790.4875302287 0.4257533351 0.3653469179 0.3152474294 0.2591916117 1.5456347303 137.0277 121.9741 15.05360.7312646596 0.6386166214 0.5480146283 0.472868667 0.3887863706 2.3184520955 30.9340 9.0397 21.89430.7312646596 0.6386166214 0.5480146283 0.472868667 0.3887863706 2.3184520955 30.9340 9.0397 21.89430.0731274968 0.0638619798 0.0548015594 0.0472868961 0.038878646 0.2318452096 12.2201 9.0397 3.18050.6581371628 0.5747546416 0.4932130689 0.4255817709 0.3499077246 2.086606886 18.7139 0.0000 18.7139

Deficit -0.0001

20 21 22 23 24 250.1579527321 0.1435257957 0.1291664253 0.1168263383 0.1008970757 0.8707082673 18.7141 13.5316 5.18250.1062269399 0.0911900312 0.07773086 0.0667415839 0.0548774978 0.3397762897 12.2201 4.8261 7.39400.7517099007 0.660469162 0.5722442032 0.4988153516 0.4149661852 2.7561192873 167.9619 140.3318 27.63011.2188034268 1.0643774392 0.913367981 0.7881216575 0.6479825599 3.8641141333 167.9619 131.0137 36.94820.4875336442 0.4257563282 0.3653494918 0.3152496538 0.2591934427 1.5456456533 137.0277 121.9740 15.05370.7312697826 0.638621111 0.5480184891 0.4728720037 0.3887891172 2.31846848 30.9342 9.0397 21.89450.7312697826 0.638621111 0.5480184891 0.4728720037 0.3887891172 2.31846848 30.9342 9.0397 21.89450.0731280091 0.0638624288 0.0548019455 0.0472872298 0.0388789206 0.231846848 12.2202 9.0397 3.18050.6581417735 0.5747586822 0.4932165437 0.4255847739 0.3499101965 2.086621632 18.7140 0.0000 18.7140

Deficit -0.0001

20 21 22 23 24 250.1579537026 0.1435266776 0.129167219 0.1168270562 0.1008976956 0.8707136175 18.7142 13.5317 5.18250.1062277638 0.0911907384 0.0777314628 0.0667421015 0.0548779234 0.3397789249 12.2202 4.8262 7.39410.7517151106 0.6604737443 0.5722481737 0.4988188115 0.4149690618 2.7561381957 167.9621 140.3318 27.6303

1.21881157 1.0643845757 0.9133741182 0.7881269619 0.6479869264 3.8641401844 167.9621 131.0137 36.94840.4875369015 0.4257591828 0.3653519467 0.3152517756 0.2591951894 1.5456560738 137.0277 121.9739 15.0538

Page 135: SAGSim Recycle

Mill

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Mill Discharge, tons 0 0 0 0 4.4648519821 1.15191847093 3.4230378439 2.15468467362 2.0490708473 Actual 0 0 0 0 4.4648519821 1.15191847093 3.4230378439 2.15468467362 2.0490708473To the Crusher, tons 0 0 0 0 4.4648519821 1.15191847093 3.4230378439 0.85204628844 0.4451562042SAG Product, tons 0 0 0 0 0 0 0 1.30263838517 1.6039146432

Iteration 76 Cummulative Energy, KWH/ton 38 Cummulative Time, min 38.9484472591 2 3 4 5 6 7 8 9

Make-up Feed, tons 0.8458832891 1.131011877 1.7640910316 3.4230377421 4.3725012779 1.02098929885 0.974247101 0.50080876293 0.4821100224Crushed Pebbles, tons 0 0 0 0 0 0 4.8261920873 1.98745894823 1.367374329Internal Feed, tons 8.3217998278 22.008808814 34.157550839 52.697447632 11.948579385 2.38579352171 8.8118524492 4.1748068135 3.3318236654To the Grate, tons 7.475721462 20.876232397 32.39442366 49.275004425 12.041028842 2.51673950727 6.4344958135 3.84124056786 3.5314281484Internal Recycle, tons 7.475721462 20.876232397 32.39442366 49.275004425 7.5761402417 1.36481334071 3.0114341852 1.68654647505 1.4823468642Mill Discharge, tons 0 0 0 0 4.4648886001 1.15192616656 3.4230616282 2.15469409282 2.0490812842 Actual 0 0 0 0 4.4648886001 1.15192616656 3.4230616282 2.15469409282 2.0490812842To the Crusher, tons 0 0 0 0 4.4648886001 1.15192616656 3.4230616282 0.85205001316 0.4451584716SAG Product, tons 0 0 0 0 0 0 0 1.30264407965 1.6039228126

Iteration 77 Cummulative Energy, KWH/ton 38.5 Cummulative Time, min 39.453491981 2 3 4 5 6 7 8 9

Make-up Feed, tons 0.845887988 1.1310181598 1.7641008312 3.4230567574 4.3725255675 1.02099497053 0.974252513 0.50081154496 0.4821127005Crushed Pebbles, tons 0 0 0 0 0 0 4.8262259704 1.98747290153 1.3673839289Internal Feed, tons 8.32160945 22.007250557 34.158524491 52.698061182 11.948665809 2.38580831123 8.8119126686 4.17483092153 3.3318434937To the Grate, tons 7.4755504399 20.874774081 32.395298709 49.275567879 12.041122082 2.51675554264 6.4345384526 3.84125678507 3.531445259Internal Recycle, tons 7.4755504399 20.874774081 32.395298709 49.275567879 7.5761989075 1.3648220366 3.0114541409 1.68655359542 1.4823540466Mill Discharge, tons 0 0 0 0 4.464923174 1.15193350604 3.4230843116 2.15470318965 2.0490912125 Actual 0 0 0 0 4.464923174 1.15193350604 3.4230843116 2.15470318965 2.0490912125To the Crusher, tons 0 0 0 0 4.464923174 1.15193350604 3.4230843116 0.8520536104 0.4451606285SAG Product, tons 0 0 0 0 0 0 0 1.30264957925 1.603930584

Iteration 78 Cummulative Energy, KWH/ton 39 Cummulative Time, min 39.9585371851 2 3 4 5 6 7 8 9

Make-up Feed, tons 0.8458924476 1.1310241227 1.7641101318 3.4230748041 4.37254862 1.02100035333 0.9742576494 0.50081418529 0.4821152423Crushed Pebbles, tons 0 0 0 0 0 0 4.8262581468 1.98748615201 1.3673930452Internal Feed, tons 8.3214428875 22.005798203 34.159408841 52.698642683 11.948747527 2.38582238993 8.8119699371 4.17485393272 3.3318623341To the Grate, tons 7.4754008118 20.873415414 32.396092763 49.276101339 12.041210043 2.51677081319 6.4345790584 3.84127240929 3.531461515Internal Recycle, tons 7.4754008118 20.873415414 32.396092763 49.276101339 7.5762542523 1.36483031773 3.011473145 1.68656045544 1.4823608702

Page 136: SAGSim Recycle

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1.809102215 1.5171101828 1.4171058861 1.198285516 1.36347037496 1.2012621964 1.1953442541 1.07640074964 0.96674051689 0.8479785391.809102215 1.5171101828 1.4171058861 1.198285516 1.36347037496 1.2012621964 1.1953442541 1.07640074964 0.96674051689 0.8479785390.259909951 0.1753269708 0.1494668321 0.122284669 0.13728236395 0.1204343041 0.119642261 0.10767458696 0.09668495374 0.08480122851.549192264 1.341783212 1.2676390539 1.076000847 1.22618801101 1.0808278923 1.0757019931 0.96872616268 0.87005556316 0.7631773104

10 11 12 13 14 15 16 17 18 190.398475914 0.3561969226 0.3229653612 0.2776072762 0.28441305298 0.235222716 0.2299634477 0.20860468033 0.19244891155 0.17461459730.820071542 0.5708480726 0.4292232932 0.3218334623 0.29552742947 0.2228809594 0.2014322118 0.16982750478 0.14642863445 0.12467489262.475791106 1.9597076039 1.7067587939 1.4026077605 1.49128222909 1.2600244461 1.2288268931 1.09627441633 0.98347939698 0.86465589823.066363558 2.5497877318 2.3716905739 2.0014650108 2.27482674171 2.0031956962 1.9927880667 1.79425431984 1.61135256527 1.41335391751.257250904 1.0326686596 0.9545759951 0.8031720272 0.91134760379 0.8019258664 0.7974362672 0.71784676773 0.64460593035 0.56536999651.809112654 1.5171190722 1.4171145789 1.1982929835 1.36347913791 1.2012698298 1.1953517995 1.07640755212 0.96674663492 0.84798392091.809112654 1.5171190722 1.4171145789 1.1982929835 1.36347913791 1.2012698298 1.1953517995 1.07640755212 0.96674663492 0.8479839209

0.25991145 0.1753279981 0.149467749 0.122285431 0.13728324625 0.1204350694 0.1196430162 0.10767526743 0.09668556561 0.08480176681.549201203 1.3417910741 1.2676468299 1.0760075525 1.22619589166 1.0808347604 1.0757087833 0.96873228469 0.87006106931 0.7631821542

10 11 12 13 14 15 16 17 18 190.398478127 0.3561989013 0.3229671553 0.2776088183 0.28441463292 0.2352240227 0.2299647252 0.20860583915 0.19244998062 0.17461556730.820077299 0.5708520803 0.4292263066 0.3218357218 0.29552950427 0.2228825242 0.201433626 0.16982869708 0.14642966248 0.12467576792.475806331 1.9597196412 1.7067694569 1.4026165674 1.49129174098 1.2600324133 1.2288346184 1.09628130396 0.98348557344 0.86466133173.066380363 2.5498019122 2.3717043699 2.0014768404 2.27484062451 2.0032077999 1.9928000302 1.79426510464 1.61136226429 1.41336244891.257257795 1.0326744027 0.9545815478 0.8031767744 0.91135316556 0.8019307118 0.7974410545 0.71785108252 0.64460981035 0.56537340931.809122568 1.5171275095 1.4171228221 1.198300066 1.36348745895 1.201277088 1.1953589756 1.07641402212 0.96675245394 0.84798903961.809122568 1.5171275095 1.4171228221 1.198300066 1.36348745895 1.201277088 1.1953589756 1.07641402212 0.96675245394 0.84798903960.259912875 0.1753289731 0.1494686184 0.1222861538 0.13728408407 0.1204357971 0.1196437345 0.10767591464 0.09668614758 0.08480227871.549209694 1.3417985364 1.2676542037 1.0760139122 1.22620337488 1.080841291 1.0757152412 0.96873810749 0.87006630637 0.763186761

10 11 12 13 14 15 16 17 18 190.398480228 0.3562007792 0.322968858 0.2776102819 0.28441613238 0.2352252628 0.2299659376 0.20860693894 0.19245099524 0.17461648790.820082767 0.5708558862 0.4292291682 0.3218378675 0.29553147456 0.2228840102 0.2014349689 0.16982982933 0.14643063872 0.1246765991

2.47582079 1.9597310681 1.706779574 1.4026249237 1.49130077251 1.2600399848 1.228841961 1.09628785079 0.98349144431 0.86466649633.066396306 2.5498153563 2.3717174383 2.0014880477 2.27485379188 2.0032192943 1.9928113938 1.79427534936 1.61137147764 1.41337055271.257264331 1.0326798476 0.9545868076 0.8031812718 0.91135844071 0.8019353133 0.7974456018 0.71785518123 0.64461349606 0.565376651

Page 137: SAGSim Recycle

Mill

Page 137

0.7312746685 0.6386253928 0.5480221715 0.4728751863 0.3887917371 2.3184841107 30.9344 9.0398 21.89460.7312746685 0.6386253928 0.5480221715 0.4728751863 0.3887917371 2.3184841107 30.9344 9.0398 21.89460.0731284977 0.063862857 0.0548023137 0.047287548 0.0388791826 0.2318484111 12.2203 9.0398 3.18050.6581461708 0.5747625359 0.4932198578 0.4255876383 0.3499125545 2.0866356996 18.7141 0.0000 18.7141

Deficit -0.0001

20 21 22 23 24 250.1579546261 0.1435275167 0.1291679742 0.1168277392 0.1008982855 0.8707187078 18.7143 13.5318 5.18250.1062285481 0.0911914118 0.0777320368 0.0667425943 0.0548783286 0.3397814338 12.2203 4.8262 7.39410.7517200757 0.6604781113 0.5722519577 0.4988221091 0.4149718035 2.7561562154 167.9623 140.3318 27.6304

1.218819325 1.064391372 0.9133799633 0.788132014 0.6479910855 3.8641650006 167.9623 131.0136 36.94860.4875400036 0.4257619014 0.3653542848 0.3152537964 0.259196853 1.5456660002 137.0276 121.9738 15.05390.7312793214 0.6386294706 0.5480256785 0.4728782176 0.3887942325 2.3184990004 30.9346 9.0399 21.89480.7312793214 0.6386294706 0.5480256785 0.4728782176 0.3887942325 2.3184990004 30.9346 9.0399 21.8948

0.073128963 0.0638632647 0.0548026644 0.0472878512 0.0388794322 0.2318499 12.2204 9.0399 3.18050.6581503584 0.5747662058 0.4932230141 0.4255903664 0.3499148004 2.0866491003 18.7142 0.0000 18.7142

Deficit -0.0001

20 21 22 23 24 250.1579555035 0.143528314 0.1291686917 0.1168283882 0.100898846 0.8707235447 18.7144 13.5318 5.18260.1062292939 0.091192052 0.0777325825 0.0667430629 0.0548787139 0.3397838193 12.2204 4.8262 7.39420.7517248011 0.6604822674 0.572255559 0.4988252475 0.4149744129 2.7561733642 167.9624 140.3318 27.63061.2188267005 1.0643978357 0.9133855226 0.7881368194 0.6479950417 3.8641886082 167.9624 131.0136 36.94880.4875429539 0.4257644869 0.3653565085 0.3152557186 0.2591984355 1.5456754433 137.0276 121.9737 15.05400.7312837466 0.6386333488 0.5480290141 0.4728811008 0.3887966062 2.3185131649 30.9348 9.0399 21.89490.7312837466 0.6386333488 0.5480290141 0.4728811008 0.3887966062 2.3185131649 30.9348 9.0399 21.89490.0731294055 0.0638636526 0.054802998 0.0472881395 0.0388796695 0.2318513165 12.2205 9.0399 3.18060.6581543411 0.5747696962 0.4932260161 0.4255929613 0.3499169367 2.0866618484 18.7143 0.0000 18.7143

Deficit -0.0001

20 21 22 23 24 250.1579563363 0.1435290707 0.1291693727 0.1168290041 0.100899378 0.8707281353 18.7145 13.5319 5.18260.1062300022 0.09119266 0.0777331007 0.0667435078 0.0548790798 0.3397860846 12.2205 4.8263 7.39420.7517292923 0.6604862176 0.572258982 0.4988282305 0.4149768932 2.7561896632 167.9626 140.3318 27.63081.2188337061 1.0644039753 0.9133908034 0.7881413842 0.6479988 3.8642110374 167.9626 131.0136 36.94900.4875457562 0.4257669428 0.3653586209 0.3152575445 0.2591999388 1.5456844149 137.0276 121.9736 15.0540

Page 138: SAGSim Recycle

Mill

Page 138

Mill Discharge, tons 0 0 0 0 4.4649557907 1.15194049546 3.4231059134 2.15471195385 2.0491006449 Actual 0 0 0 0 4.4649557907 1.15194049546 3.4231059134 2.15471195385 2.0491006449To the Crusher, tons 0 0 0 0 4.4649557907 1.15194049546 3.4231059134 0.85205707611 0.4451626776SAG Product, tons 0 0 0 0 0 0 0 1.30265487774 1.6039379672

Iteration 79 Cummulative Energy, KWH/ton 39.5 Cummulative Time, min 40.4635828521 2 3 4 5 6 7 8 9

Make-up Feed, tons 0.8458966753 1.1310297754 1.7641189486 3.4230919123 4.3725704736 1.0210054562 0.9742625186 0.50081668832 0.4821176519Crushed Pebbles, tons 0 0 0 0 0 0 4.8262886668 1.98749872036 1.3674016923Internal Feed, tons 8.3212974871 22.004445189 34.160211711 52.699193251 11.948824726 2.38583577393 8.8120243305 4.17487586412 3.3318802143To the Grate, tons 7.4752701943 20.872150162 32.39681297 49.276605919 12.041292959 2.51678533528 6.4346176751 3.84128742892 3.5314769405Internal Recycle, tons 7.4752701943 20.872150162 32.39681297 49.276605919 7.5763064227 1.36483819297 3.0114912182 1.68656705 1.4823673451Mill Discharge, tons 0 0 0 0 4.4649865366 1.15194714231 3.4231264569 2.15472037892 2.0491095953 Actual 0 0 0 0 4.4649865366 1.15194714231 3.4231264569 2.15472037892 2.0491095953To the Crusher, tons 0 0 0 0 4.4649865366 1.15194714231 3.4231264569 0.85206040771 0.4451646221SAG Product, tons 0 0 0 0 0 0 0 1.30265997121 1.6039449732

Iteration 80 Cummulative Energy, KWH/ton 40 Cummulative Time, min 40.9686289551 2 3 4 5 6 7 8 9

Make-up Feed, tons 0.8459006789 1.1310351285 1.7641272981 3.4231081136 4.3725911687 1.02101028855 0.9742671297 0.50081905865 0.4821199337Crushed Pebbles, tons 0 0 0 0 0 0 4.8263175839 1.98751062861 1.3674098852Internal Feed, tons 8.3211708732 22.003185291 34.160940268 52.699714032 11.948897591 2.38584848152 8.8120759318 4.17489673727 3.331897164To the Grate, tons 7.4751564533 20.870972421 32.397465875 49.277082749 12.041371061 2.51679912773 6.4346543534 3.84130183813 3.5314915612Internal Recycle, tons 7.4751564533 20.870972421 32.397465875 49.277082749 7.5763555638 1.36484567254 3.0115083841 1.68657337655 1.4823734823Mill Discharge, tons 0 0 0 0 4.4650154971 1.15195345519 3.4231459693 2.15472846158 2.0491180789 Actual 0 0 0 0 4.4650154971 1.15195345519 3.4231459693 2.15472846158 2.0491180789To the Crusher, tons 0 0 0 0 4.4650154971 1.15195345519 3.4231459693 0.85206360391 0.4451664651SAG Product, tons 0 0 0 0 0 0 0 1.30266485767 1.6039516138

Iteration 81 Cummulative Energy, KWH/ton 40.5 Cummulative Time, min 41.4736754721 2 3 4 5 6 7 8 9

Make-up Feed, tons 0.8459044664 1.1310401927 1.764135197 3.4231234406 4.372610747 1.02101486013 0.974271492 0.50082130107 0.4821220924Crushed Pebbles, tons 0 0 0 0 0 0 4.8263449539 1.98752189974 1.3674176397Internal Feed, tons 8.3210609197 22.002012614 34.161601072 52.70020619 11.948966311 2.38586053267 8.81212483 4.17491657736 3.3319132144To the Grate, tons 7.4750576787 20.869876606 32.398057464 49.27753297 12.041444574 2.51681221135 6.4346891489 3.84131563597 3.5315054045Internal Recycle, tons 7.4750576787 20.869876606 32.398057464 49.27753297 7.576401818 1.36485276771 3.0115246689 1.68657943467 1.4823792931

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1.809131974 1.5171355087 1.4171306307 1.1983067759 1.36349535117 1.201283981 1.195365792 1.07642016813 0.96675798158 0.84799390181.809131974 1.5171355087 1.4171306307 1.1983067759 1.36349535117 1.201283981 1.195365792 1.07642016813 0.96675798158 0.84799390180.259914226 0.1753298976 0.149469442 0.1222868385 0.1372848787 0.1204364881 0.1196444167 0.10767652943 0.0966867004 0.08480276491.549217748 1.3418056111 1.2676611886 1.0760199374 1.22621047247 1.0808474929 1.0757213753 0.96874363869 0.87007128118 0.7631911369

10 11 12 13 14 15 16 17 18 190.39848222 0.3562025595 0.3229704722 0.2776116694 0.28441755387 0.2352264384 0.2299670869 0.20860798154 0.19245195709 0.1746173607

0.820087953 0.5708594961 0.4292318826 0.3218399027 0.29553334343 0.2228854196 0.2014362428 0.16983090329 0.14643156471 0.12467738752.475834504 1.9597419032 1.7067891624 1.4026328439 1.49130933801 1.2600471714 1.2288489315 1.09629406606 0.98349701786 0.86467139913.066411414 2.5498280887 2.371729805 2.0014986547 2.27486626704 2.0032301975 1.992822175 1.79428506952 1.61138021925 1.41337824131.257270526 1.0326850042 0.9545917851 0.8031855283 0.91136343854 0.8019396781 0.797449916 0.71785907008 0.64461699305 0.56537972661.809140888 1.5171430844 1.4171380199 1.1983131264 1.36350282849 1.2012905194 1.1953722589 1.07642599943 0.9667632262 0.84799851481.809140888 1.5171430844 1.4171380199 1.1983131264 1.36350282849 1.2012905194 1.1953722589 1.07642599943 0.9667632262 0.84799851480.259915507 0.1753307731 0.1494702214 0.1222874866 0.13728563156 0.1204371436 0.119645064 0.10767711275 0.09668722492 0.08480322621.549225381 1.3418123114 1.2676677985 1.0760256398 1.22621719693 1.0808533758 1.075727195 0.96874888668 0.87007600127 0.7631952885

10 11 12 13 14 15 16 17 18 190.398484106 0.3562042454 0.3229720008 0.2776129833 0.2844189 0.2352275517 0.2299681754 0.20860896887 0.19245286795 0.17461818710.820092866 0.5708629165 0.4292344543 0.321841831 0.29553511414 0.2228867551 0.2014374497 0.16983192084 0.14643244207 0.12467813452.475847498 1.959752166 1.7067982402 1.4026403426 1.49131745268 1.2600539849 1.228855541 1.09629995979 0.98350230308 0.86467604823.066425716 2.5498401348 2.3717414964 2.0015086838 2.27487807418 2.0032405286 1.9928323921 1.7942942817 1.61138850404 1.4133855278

1.25727639 1.0326898829 0.9545964907 0.8031895529 0.91136816876 0.8019438139 0.7974540045 0.7178627557 0.6446203073 0.56538264131.809149326 1.5171502519 1.4171450057 1.1983191309 1.36350990543 1.2012967147 1.1953783876 1.076431526 0.96676819674 0.84800288651.809149326 1.5171502519 1.4171450057 1.1983191309 1.36350990543 1.2012967147 1.1953783876 1.076431526 0.96676819674 0.84800288650.259916719 0.1753316014 0.1494709582 0.1222880994 0.13728634411 0.1204377648 0.1196456774 0.10767766558 0.09668772203 0.08480366341.549232607 1.3418186505 1.2676740475 1.0760310315 1.22622356132 1.0808589499 1.0757327102 0.96875386041 0.87008047471 0.7631992231

10 11 12 13 14 15 16 17 18 190.39848589 0.3562058403 0.3229734469 0.2776142263 0.28442017348 0.235228605 0.229969205 0.20860990292 0.19245372966 0.174618969

0.820097517 0.5708661538 0.4292368885 0.3218436562 0.29553679011 0.2228880191 0.201438592 0.16983288396 0.14643327248 0.12467884162.475859797 1.959761877 1.7068068261 1.4026474354 1.49132513236 1.2600604379 1.2288618016 1.09630554257 0.98350730945 0.86468045183.066439241 2.549851521 2.3717525394 2.0015181577 2.27488923822 2.0032503073 1.9928420647 1.79430300328 1.61139634765 1.4133924261.257281936 1.0326944943 0.9546009354 0.8031933547 0.91137264132 0.8019477285 0.7974578751 0.71786624504 0.64462344506 0.5653854007

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0.7312879499 0.6386370325 0.5480321826 0.4728838397 0.3887988612 2.3185266224 30.9350 9.0400 21.89500.7312879499 0.6386370325 0.5480321826 0.4728838397 0.3887988612 2.3185266224 30.9350 9.0400 21.89500.0731298258 0.0638640209 0.0548033148 0.0472884134 0.038879895 0.2318526622 12.2206 9.0400 3.1806

0.658158124 0.5747730116 0.4932288677 0.4255954263 0.3499189662 2.0866739602 18.7144 0.0000 18.7144Deficit -0.0001

20 21 22 23 24 250.1579571257 0.1435297881 0.1291700183 0.116829588 0.1008998822 0.8707324871 18.7146 13.5320 5.18260.1062306739 0.0911932366 0.0777335923 0.0667439299 0.0548794268 0.3397882333 12.2206 4.8263 7.39430.7517335558 0.6604899675 0.5722622315 0.4988310625 0.4149792479 2.7562051354 167.9628 140.3318 27.63091.2188403525 1.0644098003 0.9133958138 0.7881457155 0.6480023661 3.8642323215 167.9628 131.0135 36.94920.4875484148 0.4257692728 0.365360625 0.3152592771 0.2592013652 1.5456929286 137.0276 121.9735 15.05410.7312919376 0.6386405274 0.5480351888 0.4728864384 0.3888010009 2.3185393929 30.9352 9.0401 21.89510.7312919376 0.6386405274 0.5480351888 0.4728864384 0.3888010009 2.3185393929 30.9352 9.0401 21.89510.0731302246 0.0638643704 0.0548036154 0.0472886732 0.038880109 0.2318539393 12.2206 9.0401 3.1806

0.658161713 0.574776157 0.4932315733 0.4255977652 0.3499208919 2.0866854536 18.7145 0.0000 18.7145Deficit -0.0001

20 21 22 23 24 250.1579578733 0.1435304674 0.1291706296 0.116830141 0.1009003598 0.8707366082 18.7147 13.5320 5.18260.1062313104 0.091193783 0.0777340581 0.0667443298 0.0548797557 0.3397902692 12.2206 4.8263 7.39430.7517375986 0.6604935232 0.5722653127 0.4988337478 0.4149814807 2.756219806 167.9629 140.3318 27.63111.2188466511 1.0644153204 0.9134005623 0.7881498205 0.648005746 3.8642524963 167.9629 131.0135 36.94940.4875509343 0.4257714809 0.3653625244 0.3152609191 0.2592027172 1.5457009985 137.0276 121.9734 15.05420.7312957168 0.6386438395 0.5480380378 0.4728889015 0.3888030288 2.3185514978 30.9353 9.0401 21.89520.7312957168 0.6386438395 0.5480380378 0.4728889015 0.3888030288 2.3185514978 30.9353 9.0401 21.89520.0731306025 0.0638647017 0.0548039004 0.0472889196 0.0388803118 0.2318551498 12.2207 9.0401 3.18060.6581651142 0.5747791379 0.4932341375 0.4255999819 0.349922717 2.086696348 18.7146 0.0000 18.7146

Deficit -0.0001

20 21 22 23 24 250.1579585806 0.1435311101 0.129171208 0.1168306641 0.1009008116 0.870740507 18.7148 13.5321 5.18270.1062319129 0.0911943002 0.0777344989 0.0667447083 0.0548800669 0.3397921961 12.2207 4.8263 7.39440.7517414278 0.6604968912 0.5722682313 0.4988362915 0.4149835957 2.7562337016 167.9630 140.3318 27.6312

1.218852614 1.0644205464 0.9134050578 0.7881537071 0.6480089462 3.8642715995 167.9630 131.0135 36.94960.4875533196 0.4257735713 0.3653643226 0.3152624737 0.2592039973 1.5457086398 137.0276 121.9733 15.0542

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Mill Discharge, tons 0 0 0 0 4.4650427564 1.15195944364 3.42316448 2.1547362013 2.0491261113 Actual 0 0 0 0 4.4650427564 1.15195944364 3.42316448 2.1547362013 2.0491261113To the Crusher, tons 0 0 0 0 4.4650427564 1.15195944364 3.42316448 0.8520666645 0.4451682102SAG Product, tons 0 0 0 0 0 0 0 1.3026695368 1.6039579012

Iteration 82 Cummulative Energy, KWH/ton 41 Cummulative Time, min 41.9787223811 2 3 4 5 6 7 8 9

Make-up Feed, tons 0.8459080462 1.1310449791 1.7641426625 3.4231379267 4.3726292512 1.0210191809 0.974275615 0.50082342047 0.4821241326Crushed Pebbles, tons 0 0 0 0 0 0 4.8263708341 1.9875325574 1.3674249722Internal Feed, tons 8.3209657249 22.000921585 34.162200127 52.700670897 11.949031069 2.38587194862 8.812171118 4.17493541254 3.331928398To the Grate, tons 7.4749721624 20.868857438 32.398593215 49.277957718 12.041513722 2.51682460847 6.4347221211 3.84132882566 3.5315184984Internal Recycle, tons 7.4749721624 20.868857438 32.398593215 49.277957718 7.576445325 1.3648594906 3.0115401004 1.68658522578 1.4823847894Mill Discharge, tons 0 0 0 0 4.4650683966 1.15196511787 3.4231820207 2.15474359988 2.049133709 Actual 0 0 0 0 4.4650683966 1.15196511787 3.4231820207 2.15474359988 2.049133709To the Crusher, tons 0 0 0 0 4.4650683966 1.15196511787 3.4231820207 0.85206959018 0.4451698607SAG Product, tons 0 0 0 0 0 0 0 1.3026740097 1.6039638483

Iteration 83 Cummulative Energy, KWH/ton 41.5 Cummulative Time, min 42.483769661 2 3 4 5 6 7 8 9

Make-up Feed, tons 0.8459114265 1.1310494989 1.7641497122 3.4231516058 4.3726467245 1.02102326096 0.9742795082 0.50082542179 0.4821260592Crushed Pebbles, tons 0 0 0 0 0 0 4.8263952831 1.98754262565 1.3674318992Internal Feed, tons 8.3208835889 21.999906937 34.162742927 52.701109324 11.94909205 2.38588275156 8.8122148917 4.17495327322 3.3319427478To the Grate, tons 7.4748983771 20.867909936 32.399078135 49.278358122 12.041578719 2.51683634254 6.4347533327 3.84134141392 3.5315308719Internal Recycle, tons 7.4748983771 20.867909936 32.399078135 49.278358122 7.5764862211 1.36486585392 3.0115547078 1.68659075282 1.4823899833Mill Discharge, tons 0 0 0 0 4.4650924981 1.15197048862 3.4231986248 2.1547506611 2.0491408886 Actual 0 0 0 0 4.4650924981 1.15197048862 3.4231986248 2.1547506611 2.0491408886To the Crusher, tons 0 0 0 0 4.4650924981 1.15197048862 3.4231986248 0.85207238247 0.4451714205SAG Product, tons 0 0 0 0 0 0 0 1.30267827864 1.6039694681

Iteration 84 Cummulative Energy, KWH/ton 42 Cummulative Time, min 42.9888172891 2 3 4 5 6 7 8 9

Make-up Feed, tons 0.8459146157 1.1310537631 1.7641563634 3.4231645118 4.3726632103 1.02102711043 0.9742831815 0.50082731001 0.482127877Crushed Pebbles, tons 0 0 0 0 0 0 4.8264183596 1.98755212874 1.3674384373Internal Feed, tons 8.3208129929 21.9989637 34.163234498 52.701522634 11.949149431 2.38589296435 8.8122562489 4.17497019156 3.3319562976To the Grate, tons 7.4748349586 20.867029406 32.399516801 49.278735297 12.041639777 2.51684743783 6.434782848 3.84135341039 3.5315425539Internal Recycle, tons 7.4748349586 20.867029406 32.399516801 49.278735297 7.5765246385 1.36487187083 3.0115685214 1.68659602002 1.4823948869

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1.809157306 1.5171570266 1.417151604 1.198324803 1.36351659689 1.2013025788 1.1953841896 1.07643675824 0.96677290258 0.84800702531.809157306 1.5171570266 1.417151604 1.198324803 1.36351659689 1.2013025788 1.1953841896 1.07643675824 0.96677290258 0.84800702530.259917865 0.1753323843 0.1494716542 0.1222886782 0.13728701785 0.1204383527 0.1196462581 0.10767818898 0.09668819267 0.0848040773

1.54923944 1.3418246423 1.2676799498 1.0760361248 1.22622957904 1.0808642261 1.0757379315 0.96875856927 0.87008470991 0.763202948

10 11 12 13 14 15 16 17 18 190.398487576 0.3562073477 0.3229748136 0.2776154011 0.28442137711 0.2352296004 0.2299701782 0.20861078572 0.1924545441 0.17461970790.820101915 0.570869215 0.4292391902 0.321845382 0.29553837487 0.2228892142 0.2014396722 0.16983379465 0.1464340577 0.12467951012.475871427 1.959771057 1.7068149393 1.4026541378 1.4913323933 1.2600665432 1.2288677255 1.09631082541 0.98351204686 0.86468461873.066452021 2.5498622735 2.3717629609 2.0015270994 2.27489978444 2.0032595542 1.9928512127 1.79431125222 1.6114037662 1.41339895011.257287175 1.0326988492 0.9546051299 0.8031969429 0.91137686638 0.8019514303 0.7974615358 0.71786954528 0.64462641278 0.56538801051.809164845 1.5171634244 1.417157831 1.1983301565 1.36352291806 1.2013081239 1.1953896769 1.07644170694 0.96677735342 0.84801093961.809164845 1.5171634244 1.417157831 1.1983301565 1.36352291806 1.2013081239 1.1953896769 1.07644170694 0.96677735342 0.84801093960.259918949 0.1753331237 0.1494723109 0.1222892245 0.1372876543 0.1204389086 0.1196468074 0.107678684 0.0966886378 0.08480446871.549245897 1.3418303007 1.26768552 1.076040932 1.22623526376 1.0808692153 1.0757428695 0.96876302293 0.87008871561 0.7632064709

10 11 12 13 14 15 16 17 18 190.398489169 0.3562087711 0.3229761043 0.2776165105 0.28442251367 0.2352305404 0.2299710972 0.20861161934 0.19245531316 0.17462040570.820106069 0.5708721068 0.4292413646 0.3218470124 0.29553987198 0.2228903433 0.2014406926 0.16983465498 0.14643479949 0.12468014172.475882413 1.9597797271 1.7068225988 1.4026604658 1.49133925203 1.260072314 1.2288733256 1.0963158196 0.98351652543 0.86468855793.066464085 2.5498724191 2.3717727878 2.0015355319 2.27490973833 2.00326829 1.9928598563 1.7943190468 1.61141077615 1.41340511471.257292122 1.0327029581 0.9546090851 0.8032003268 0.91138085414 0.8019549274 0.7974649946 0.71787266374 0.64462921704 0.56539047641.809171963 1.517169461 1.4171637027 1.1983352051 1.36352888419 1.2013133626 1.1953948617 1.07644638306 0.96678155911 0.84801463821.809171963 1.517169461 1.4171637027 1.1983352051 1.36352888419 1.2013133626 1.1953948617 1.07644638306 0.96678155911 0.84801463820.259919971 0.1753338213 0.1494729302 0.1222897397 0.13728825501 0.1204394338 0.1196473263 0.10767915177 0.09668905842 0.08480483861.549251992 1.3418356397 1.2676907724 1.0760454654 1.22624062919 1.0808739288 1.0757475354 0.96876723129 0.87009250069 0.7632097996

10 11 12 13 14 15 16 17 18 190.398490671 0.3562101141 0.322977322 0.2776175572 0.284423586 0.2352314273 0.2299719643 0.20861240585 0.19245603875 0.1746210641

0.82010999 0.5708748363 0.429243417 0.3218485512 0.29554128505 0.222891409 0.2014416558 0.16983546701 0.14643549965 0.12468073782.475892783 1.9597879085 1.7068298241 1.4026664352 1.49134572519 1.2600777638 1.2288786147 1.09632053661 0.98352075544 0.86469227843.066475463 2.5498819842 2.3717820469 2.0015434778 2.27491912537 2.0032765359 1.9928680163 1.79432640552 1.61141739413 1.41341093431.257296787 1.032706832 0.9546128118 0.8032035154 0.9113846148 0.8019582284 0.7974682599 0.71787560782 0.6446318645 0.5653928044

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0.7312992944 0.6386469751 0.5480407351 0.4728912334 0.3888049489 2.3185629597 30.9355 9.0402 21.89530.7312992944 0.6386469751 0.5480407351 0.4728912334 0.3888049489 2.3185629597 30.9355 9.0402 21.89530.0731309603 0.0638650152 0.0548041701 0.0472891527 0.0388805038 0.231856296 12.2208 9.0402 3.18060.6581683341 0.5747819599 0.4932365651 0.4256020806 0.3499244451 2.0867066637 18.7147 0.0000 18.7147

Deficit -0.0001

20 21 22 23 24 250.157959249 0.1435317175 0.1291717546 0.1168311585 0.1009012386 0.8707441918 18.7148 13.5322 5.1827

0.1062324825 0.0911947892 0.0777349157 0.0667450662 0.0548803612 0.3397940182 12.2208 4.8264 7.39440.7517450511 0.660500078 0.572270993 0.4988386984 0.414985597 2.7562468498 167.9632 140.3318 27.63131.2188582534 1.0644254889 0.9134093096 0.7881573831 0.6480119731 3.8642896699 167.9632 131.0134 36.94970.4875555754 0.4257755483 0.3653660234 0.3152639441 0.259205208 1.5457158679 137.0275 121.9732 15.0543

0.731302678 0.6386499405 0.5480432862 0.472893439 0.3888067651 2.3185738019 30.9356 9.0402 21.89540.731302678 0.6386499405 0.5480432862 0.472893439 0.3888067651 2.3185738019 30.9356 9.0402 21.8954

0.0731312987 0.0638653118 0.0548044252 0.0472893733 0.0388806854 0.2318573802 12.2208 9.0402 3.18060.6581713793 0.5747846288 0.493238861 0.4256040657 0.3499260796 2.0867164217 18.7148 0.0000 18.7148

Deficit 0.0000

20 21 22 23 24 250.1579598802 0.143532291 0.1291722708 0.1168316253 0.1009016418 0.8707476713 18.7149 13.5322 5.18270.1062330206 0.0911952512 0.0777353095 0.0667454043 0.0548806392 0.3397957395 12.2208 4.8264 7.39440.7517484763 0.6605030905 0.5722736037 0.4988409738 0.414987489 2.7562592788 167.9633 140.3318 27.63151.2188635819 1.0644301589 0.9134133272 0.7881608567 0.6480148335 3.8643067471 167.9633 131.0134 36.94990.4875577068 0.4257774164 0.3653676304 0.3152653336 0.2592063522 1.5457226988 137.0275 121.9732 15.05440.7313058751 0.6386527425 0.5480456968 0.4728955232 0.3888084813 2.3185840483 30.9358 9.0403 21.89550.7313058751 0.6386527425 0.5480456968 0.4728955232 0.3888084813 2.3185840483 30.9358 9.0403 21.89550.0731316184 0.063865592 0.0548046662 0.0472895817 0.038880857 0.2318584048 12.2209 9.0403 3.18060.6581742567 0.5747871506 0.4932410305 0.4256059414 0.3499276242 2.0867256434 18.7149 0.0000 18.7149

Deficit 0.0000

20 21 22 23 24 250.1579604758 0.1435328322 0.1291727578 0.1168320658 0.1009020222 0.8707509542 18.7150 13.5323 5.18270.1062335286 0.0911956872 0.0777356812 0.0667457235 0.0548809016 0.3397973642 12.2209 4.8264 7.39450.7517517112 0.6605059357 0.5722760694 0.4988431228 0.414989276 2.7562710172 167.9634 140.3318 27.63161.2188686122 1.0644345676 0.9134171202 0.7881641362 0.648017534 3.8643228713 167.9634 131.0134 36.9500

0.487559719 0.4257791799 0.3653691476 0.3152666454 0.2592074324 1.5457291485 137.0275 121.9731 15.0544

Page 144: SAGSim Recycle

Mill

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Mill Discharge, tons 0 0 0 0 4.4651151389 1.151975567 3.4232143266 2.15475739037 2.049147667 Actual 0 0 0 0 4.4651151389 1.151975567 3.4232143266 2.15475739037 2.049147667To the Crusher, tons 0 0 0 0 4.4651151389 1.151975567 3.4232143266 0.85207504348 0.4451728931SAG Product, tons 0 0 0 0 0 0 0 1.30268234689 1.6039747739

Iteration 85 Cummulative Energy, KWH/ton 42.5 Cummulative Time, min 43.4938652481 2 3 4 5 6 7 8 9

Make-up Feed, tons 0.8459176223 1.1310577832 1.7641626336 3.4231766785 4.3726787517 1.02103073939 0.9742866443 0.50082909006 0.4821295906Crushed Pebbles, tons 0 0 0 0 0 0 4.8264401227 1.98756109092 1.3674446033Internal Feed, tons 8.3207525809 21.998087189 34.163679435 52.701911976 11.94920339 2.38590261022 8.8122952884 4.174986201 3.3319690808To the Grate, tons 7.4747806888 20.866211423 32.399913396 49.279090338 12.0416971 2.51685791911 6.4348107331 3.8413648271 3.5315535738Internal Recycle, tons 7.4747806888 20.866211423 32.399913396 49.279090338 7.5765607056 1.36487755477 3.011581572 1.68660103268 1.4823995126Mill Discharge, tons 0 0 0 0 4.4651363945 1.15198036434 3.4232291611 2.15476379443 2.0491540612 Actual 0 0 0 0 4.4651363945 1.15198036434 3.4232291611 2.15476379443 2.0491540612To the Crusher, tons 0 0 0 0 4.4651363945 1.15198036434 3.4232291611 0.85207757589 0.4451742822SAG Product, tons 0 0 0 0 0 0 0 1.30268621853 1.603979779

Iteration 86 Cummulative Energy, KWH/ton 43 Cummulative Time, min 43.9989135181 2 3 4 5 6 7 8 9

Make-up Feed, tons 0.8459204545 1.13106157 1.76416854 3.4231881394 4.3726933916 1.02103415783 0.9742899062 0.50083076685 0.4821312047Crushed Pebbles, tons 0 0 0 0 0 0 4.8264606307 1.98756953627 1.3674504137Internal Feed, tons 8.3207011433 21.997272993 34.164081936 52.702278478 11.949254097 2.3859117126 8.812332109 4.17500133579 3.3319811311To the Grate, tons 7.4747344808 20.865451825 32.400271741 49.279424318 12.041750885 2.51686781143 6.4348370543 3.84137567806 3.5315639606Internal Recycle, tons 7.4747344808 20.865451825 32.400271741 49.279424318 7.5765945466 1.36488291931 3.0115938907 1.68660579693 1.4824038726Mill Discharge, tons 0 0 0 0 4.4651563382 1.15198489211 3.4232431636 2.15476988113 2.0491600881 Actual 0 0 0 0 4.4651563382 1.15198489211 3.4232431636 2.15476988113 2.0491600881To the Crusher, tons 0 0 0 0 4.4651563382 1.15198489211 3.4232431636 0.85207998281 0.4451755915SAG Product, tons 0 0 0 0 0 0 0 1.30268989832 1.6039844965

Iteration 87 Cummulative Energy, KWH/ton 43.5 Cummulative Time, min 44.5039620821 2 3 4 5 6 7 8 9

Make-up Feed, tons 0.8459231204 1.1310651345 1.7641740998 3.4231989274 4.372707172 1.02103737559 0.9742929767 0.50083234521 0.4821327242Crushed Pebbles, tons 0 0 0 0 0 0 4.8264799415 1.98757748858 1.3674558849Internal Feed, tons 8.3206576011 21.99651696 34.164445841 52.702623245 11.949301719 2.38592029491 8.8123668089 4.17501563072 3.3319924817To the Grate, tons 7.4746953656 20.864746699 32.400595323 49.27973828 12.041801321 2.51687713988 6.4348618784 3.84138597884 3.5315737432Internal Recycle, tons 7.4746953656 20.864746699 32.400595323 49.27973828 7.5766262808 1.36488797808 3.0116055087 1.68661031962 1.4824079789

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1.809178676 1.5171751522 1.4171692351 1.1983399624 1.36353451057 1.2013183074 1.1953997564 1.07645079769 0.96678552963 0.84801812991.809178676 1.5171751522 1.4171692351 1.1983399624 1.36353451057 1.2013183074 1.1953997564 1.07645079769 0.96678552963 0.84801812990.259920936 0.175334479 0.1494735138 0.1222902252 0.1372888215 0.1204399296 0.1196478162 0.10767959337 0.09668945552 0.08480518781.549257741 1.3418406732 1.2676957213 1.0760497372 1.22624568907 1.0808783779 1.0757519402 0.96877120432 0.87009607411 0.7632129421

10 11 12 13 14 15 16 17 18 190.398492087 0.3562113801 0.3229784699 0.2776185439 0.28442459691 0.2352322634 0.2299727816 0.20861314731 0.19245672279 0.17462168470.820113688 0.5708774105 0.4292453525 0.3218500025 0.29554261769 0.2228924141 0.2014425641 0.16983623283 0.14643615995 0.12468132.475902563 1.9597956226 1.7068366342 1.4026720618 1.4913518294 1.2600829059 1.2288836057 1.09632498796 0.98352474723 0.86469578923.066486187 2.549890995 2.3717907644 2.0015509597 2.27492797084 2.0032843127 1.9928757132 1.79433334688 1.61142363678 1.41341642381.257301184 1.0327104814 0.9546163205 0.8032065178 0.9113881585 0.8019613417 0.7974713399 0.71787838493 0.64463436181 0.56539500031.809185003 1.5171805136 1.4171744439 1.1983444418 1.36353981234 1.201322971 1.1954043733 1.07645496195 0.96678927496 0.84802142351.809185003 1.5171805136 1.4171744439 1.1983444418 1.36353981234 1.201322971 1.1954043733 1.07645496195 0.96678927496 0.84802142350.259921845 0.1753350986 0.1494740632 0.1222906823 0.13728935532 0.1204403971 0.1196482783 0.10768000993 0.09668983009 0.08480551721.549263159 1.341845415 1.2677003808 1.0760537595 1.22625045702 1.0808825739 1.0757560949 0.96877495202 0.87009944487 0.7632159063

10 11 12 13 14 15 16 17 18 190.398493422 0.3562125727 0.3229795512 0.2776194734 0.28442554917 0.2352330509 0.2299735516 0.20861384575 0.19245736714 0.17462226930.820117173 0.5708798362 0.4292471764 0.3218513701 0.29554387348 0.2228933612 0.2014434201 0.16983695448 0.14643678217 0.12468182982.475911779 1.9598028903 1.7068430481 1.4026773613 1.49135758115 1.2600877538 1.2288883116 1.09632918516 0.98352851112 0.86469909953.066496287 2.5498994773 2.3717989662 2.0015579995 2.27493629971 2.0032916414 1.9928829674 1.79433988931 1.61142952066 1.41342159761.257305325 1.0327139168 0.9546196216 0.8032093429 0.91139149524 0.8019642755 0.7974742428 0.71788100243 0.6446367156 0.565397071.809190962 1.5171855606 1.4171793446 1.1983486566 1.36354480448 1.2013273659 1.1954087246 1.07645888688 0.96679280506 0.84802452771.809190962 1.5171855606 1.4171793446 1.1983486566 1.36354480448 1.2013273659 1.1954087246 1.07645888688 0.96679280506 0.84802452770.259922701 0.1753356819 0.1494745801 0.1222911125 0.13728985796 0.1204408377 0.1196487138 0.10768040255 0.09669018314 0.08480582761.549268261 1.3418498787 1.2677047645 1.0760575442 1.22625494652 1.0808865281 1.0757600108 0.96877848433 0.87010262192 0.7632187001

10 11 12 13 14 15 16 17 18 190.398494677 0.3562136953 0.3229805691 0.2776203483 0.28442644553 0.2352337922 0.2299742763 0.20861450319 0.19245797366 0.17462281970.820120454 0.5708821203 0.4292488938 0.3218526578 0.29554505596 0.222894253 0.201444226 0.169837634 0.14643736807 0.12468232872.475920457 1.9598097324 1.7068490845 1.4026823489 1.49136299673 1.2600923208 1.2288927452 1.09633313962 0.98353205733 0.86470221833.066505791 2.5499074566 2.3718066776 2.0015646189 2.27494413653 2.0032985426 1.9928897992 1.79434605102 1.61143506216 1.41342647031.257309222 1.0327171484 0.9546227253 0.8032119992 0.91139463484 0.8019670382 0.7974769766 0.71788346761 0.64463893243 0.5653990191

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Mill

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0.7313088932 0.6386553877 0.5480479725 0.4728974908 0.3888101016 2.3185937228 30.9359 9.0403 21.89560.7313088932 0.6386553877 0.5480479725 0.4728974908 0.3888101016 2.3185937228 30.9359 9.0403 21.89560.0731319202 0.0638658565 0.0548048938 0.0472897785 0.0388810191 0.2318593723 12.2210 9.0403 3.1807

0.658176973 0.5747895313 0.4932430787 0.4256077123 0.3499290825 2.0867343505 18.7149 0.0000 18.7149Deficit 0.0000

20 21 22 23 24 250.1579610372 0.1435333423 0.1291732169 0.1168324811 0.1009023808 0.8707540491 18.7150 13.5323 5.18270.1062340076 0.0911960984 0.0777360317 0.0667460244 0.054881149 0.3397988964 12.2210 4.8264 7.39450.7517547638 0.6605086206 0.5722783962 0.4988451509 0.4149909623 2.756282094 167.9635 140.3318 27.6317

1.218873357 1.0644387261 0.9134206979 0.7881672298 0.6480200815 3.8643380829 167.9635 131.0134 36.95020.487561617 0.4257808433 0.3653705787 0.3152678828 0.2592084514 1.5457352332 137.0275 121.9730 15.0545

0.73131174 0.6386578828 0.5480501192 0.472899347 0.3888116301 2.3186028497 30.9360 9.0403 21.89570.73131174 0.6386578828 0.5480501192 0.472899347 0.3888116301 2.3186028497 30.9360 9.0403 21.8957

0.0731322049 0.063866106 0.0548051085 0.0472899641 0.0388811719 0.231860285 12.2210 9.0403 3.18070.6581795351 0.5747917768 0.4932450107 0.4256093829 0.3499304582 2.0867425648 18.7150 0.0000 18.7150

Deficit 0.0000

20 21 22 23 24 250.1579615661 0.1435338229 0.1291736494 0.1168328722 0.1009027187 0.8707569644 18.7151 13.5324 5.1828

0.106234459 0.0911964859 0.077736362 0.066746308 0.0548813822 0.3398003402 12.2210 4.8265 7.39450.751757642 0.6605111521 0.5722805901 0.498847063 0.4149925523 2.7562925378 167.9636 140.3318 27.6318

1.2188778289 1.0644426454 0.9134240701 0.7881701456 0.6480224828 3.8643524218 167.9636 131.0133 36.95030.4875634058 0.425782411 0.3653719276 0.3152690491 0.2592094119 1.5457409687 137.0275 121.9730 15.05450.7313144231 0.6386602344 0.5480521425 0.4729010965 0.3888130709 2.3186114531 30.9361 9.0404 21.89570.7313144231 0.6386602344 0.5480521425 0.4729010965 0.3888130709 2.3186114531 30.9361 9.0404 21.89570.0731324732 0.0638663411 0.0548053108 0.0472901391 0.038881316 0.2318611453 12.2211 9.0404 3.18070.6581819499 0.5747938933 0.4932468316 0.4256109574 0.3499317549 2.0867503078 18.7151 0.0000 18.7151

Deficit 0.0000

20 21 22 23 24 250.1579620639 0.1435342752 0.1291740565 0.1168332404 0.1009030367 0.8707597086 18.7152 13.5324 5.1828

0.106234884 0.0911968508 0.077736673 0.0667465751 0.0548816018 0.3398016998 12.2211 4.8265 7.39460.7517603537 0.6605135371 0.5722826571 0.4988488646 0.4149940504 2.756302377 167.9637 140.3318 27.63191.2188820403 1.0644463366 0.9134272459 0.7881728918 0.6480247444 3.8643659277 167.9637 131.0133 36.95040.4875650904 0.4257838875 0.365373198 0.3152701476 0.2592103166 1.5457463711 137.0275 121.9729 15.0546

Page 147: SAGSim Recycle

Mill

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Mill Discharge, tons 0 0 0 0 4.4651750403 1.1519891618 3.4232563697 2.15477565922 2.0491657643 Actual 0 0 0 0 4.4651750403 1.1519891618 3.4232563697 2.15477565922 2.0491657643To the Crusher, tons 0 0 0 0 4.4651750403 1.1519891618 3.4232563697 0.85208226769 0.4451768247SAG Product, tons 0 0 0 0 0 0 0 1.30269339152 1.6039889396

Iteration 88 Cummulative Energy, KWH/ton 44 Cummulative Time, min 45.0090109211 2 3 4 5 6 7 8 9

Make-up Feed, tons 0.845925628 1.1310684874 1.7641793294 3.4232090751 4.3727201343 1.02104040232 0.9742958649 0.50083382986 0.4821341534Crushed Pebbles, tons 0 0 0 0 0 0 4.8264981118 1.98758497124 1.367461033Internal Feed, tons 8.3206209936 21.995815187 34.164774653 52.702947355 11.949346415 2.38592838041 8.8123994854 4.17502912072 3.3320031653To the Grate, tons 7.47466248 20.864092368 32.400887328 49.28003324 12.041848592 2.51688592947 6.4348852716 3.84139574621 3.5315829498Internal Recycle, tons 7.47466248 20.864092368 32.400887328 49.28003324 7.5766560235 1.36489274462 3.0116164571 1.68661460811 1.4824118435Mill Discharge, tons 0 0 0 0 4.4651925687 1.15199318485 3.4232688145 2.1547811381 2.0491711064 Actual 0 0 0 0 4.4651925687 1.15199318485 3.4232688145 2.1547811381 2.0491711064To the Crusher, tons 0 0 0 0 4.4651925687 1.15199318485 3.4232688145 0.85208443426 0.4451779852SAG Product, tons 0 0 0 0 0 0 0 1.30269670384 1.6039931212

Iteration 89 Cummulative Energy, KWH/ton 44.5 Cummulative Time, min 45.5140600211 2 3 4 5 6 7 8 9

Make-up Feed, tons 0.8459279852 1.1310716391 1.7641842453 3.4232186138 4.3727323189 1.02104324745 0.9742985797 0.50083522543 0.4821354968Crushed Pebbles, tons 0 0 0 0 0 0 4.8265151972 1.98759200713 1.3674658737Internal Feed, tons 8.3205904651 21.995164008 34.165071574 52.703251854 11.949388342 2.38593599207 8.8124302341 4.17504184067 3.332013214To the Grate, tons 7.4746350553 20.863485382 32.401150662 49.280310183 12.041892874 2.5168942049 6.4349072994 3.8414049979 3.5315916084Internal Recycle, tons 7.4746350553 20.863485382 32.401150662 49.280310183 7.5766838851 1.36489723234 3.0116267664 1.68661867019 1.482415478Mill Discharge, tons 0 0 0 0 4.4652089885 1.15199697256 3.423280533 2.15478632771 2.0491761304 Actual 0 0 0 0 4.4652089885 1.15199697256 3.423280533 2.15478632771 2.0491761304To the Crusher, tons 0 0 0 0 4.4652089885 1.15199697256 3.423280533 0.85208648643 0.4451790767SAG Product, tons 0 0 0 0 0 0 0 1.30269984128 1.6039970537

Iteration 90 Cummulative Energy, KWH/ton 45 Cummulative Time, min 46.0191093641 2 3 4 5 6 7 8 9

Make-up Feed, tons 0.8459301995 1.1310745998 1.7641888633 3.4232275745 4.372743765 1.02104592014 0.9743011301 0.50083653642 0.4821367589Crushed Pebbles, tons 0 0 0 0 0 0 4.8265312519 1.98759861855 1.3674704224Internal Feed, tons 8.3205652548 21.994559981 34.165339525 52.703537757 11.94942765 2.38594315248 8.8124591484 4.17505382516 3.3320226592To the Grate, tons 7.4746124081 20.862922501 32.401387973 49.280570058 12.041934334 2.5169019905 6.4349280265 3.84141375228 3.531599746Internal Recycle, tons 7.4746124081 20.862922501 32.401387973 49.280570058 7.5767099714 1.36490145443 3.011636467 1.68662251391 1.4824188938

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Mill

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1.809196569 1.5171903083 1.4171839522 1.1983526197 1.36354950168 1.2013315043 1.1954128226 1.0764625834 0.96679612974 0.84802745121.809196569 1.5171903083 1.4171839522 1.1983526197 1.36354950168 1.2013315043 1.1954128226 1.0764625834 0.96679612974 0.84802745120.259923506 0.1753362306 0.149475066 0.1222915169 0.1372903309 0.1204412526 0.119649124 0.10768077232 0.09669051565 0.084806121.549273063 1.3418540777 1.2677088862 1.0760611028 1.22625917078 1.0808902517 1.0757636986 0.96878181108 0.87010561409 0.7632213312

10 11 12 13 14 15 16 17 18 190.398495859 0.3562147513 0.3229815265 0.2776211713 0.28442728868 0.2352344896 0.2299749581 0.2086151216 0.19245854418 0.17462333730.820123542 0.5708842695 0.4292505098 0.3218538695 0.2955461686 0.2228950921 0.2014449844 0.16983827339 0.14643791936 0.12468279812.475928623 1.9598161692 1.7068547617 1.4026870399 1.49136809212 1.2600966199 1.2288969191 1.0963368626 0.98353539597 0.86470515453.066514728 2.5499149576 2.3718139231 2.0015708389 2.27495150528 2.0033050364 1.9928962286 1.79435184993 1.6114402774 1.41343105591.257312886 1.0327201863 0.9546256416 0.8032144952 0.91139758693 0.8019696379 0.7974795494 0.71788578765 0.64464101873 0.56540085351.809201842 1.5171947713 1.4171882815 1.1983563437 1.36355391835 1.2013353985 1.1954166792 1.07646606228 0.96679925867 0.84803020241.809201842 1.5171947713 1.4171882815 1.1983563437 1.36355391835 1.2013353985 1.1954166792 1.07646606228 0.96679925867 0.84803020240.259924264 0.1753367464 0.1494755227 0.1222918969 0.1372907756 0.1204416431 0.11964951 0.10768112032 0.09669082858 0.08480639511.549277578 1.341858025 1.2677127589 1.0760644468 1.22626314275 1.0808937555 1.0757671692 0.96878494196 0.87010843009 0.7632238073

10 11 12 13 14 15 16 17 18 190.398496969 0.3562157439 0.3229824265 0.2776219448 0.28442808123 0.235235145 0.2299755989 0.20861570291 0.19245908046 0.17462382390.820126445 0.5708862904 0.4292520293 0.3218550088 0.29554721481 0.2228958812 0.2014456975 0.1698388746 0.14643843774 0.12468323942.475936301 1.9598222206 1.7068600974 1.4026914489 1.49137288297 1.2601006641 1.2289008458 1.09634036515 0.98353853693 0.86470791683.066523128 2.5499220045 2.3718207266 2.00157668 2.27495842938 2.0033111428 1.992902275 1.79435730361 1.61144518216 1.4134353684

1.25731633 1.0327230403 0.9546283799 0.8032168392 0.91140036089 0.8019720824 0.7974819689 0.71788796956 0.64464298083 0.56540257861.809206798 1.5171989642 1.4171923467 1.1983598408 1.36355806849 1.2013390604 1.1954203061 1.07646933405 0.96680220132 0.84803278991.809206798 1.5171989642 1.4171923467 1.1983598408 1.36355806849 1.2013390604 1.1954203061 1.07646933405 0.96680220132 0.84803278990.259924976 0.1753372309 0.1494759514 0.1222922538 0.13729119346 0.1204420102 0.119649873 0.1076814476 0.09669112287 0.08480665391.549281822 1.3418617333 1.2677163953 1.076067587 1.22626687504 1.0808970502 1.075770433 0.96878788645 0.87011107845 0.763226136

10 11 12 13 14 15 16 17 18 190.398498012 0.3562166763 0.322983272 0.2776226715 0.28442882575 0.2352357608 0.2299762009 0.20861624898 0.19245958424 0.1746242810.820129173 0.5708881894 0.4292534572 0.3218560794 0.2955481979 0.2228966226 0.2014463676 0.16983943955 0.14643892484 0.12468365422.475943516 1.959827906 1.706865109 1.4026955902 1.49137738454 1.2601044658 1.2289045374 1.09634365808 0.98354148992 0.86471051373.066531017 2.5499286205 2.3718271114 2.0015821618 2.27496493155 2.003316881 1.9929079574 1.79436242918 1.61144979185 1.41343942141.257319565 1.0327257198 0.9546309497 0.803219039 0.9114029658 0.8019743795 0.7974842428 0.7178900202 0.64464482489 0.5654041998

Page 149: SAGSim Recycle

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0.7313169499 0.6386624491 0.548054048 0.4729027442 0.3888144278 2.3186195566 30.9362 9.0404 21.89580.7313169499 0.6386624491 0.548054048 0.4729027442 0.3888144278 2.3186195566 30.9362 9.0404 21.89580.0731327259 0.0638665626 0.0548055014 0.0472903038 0.0388814517 0.2318619557 12.2211 9.0404 3.1807

0.658184224 0.5747958864 0.4932485466 0.4256124404 0.3499329761 2.0867576009 18.7151 0.0000 18.7151Deficit 0.0000

20 21 22 23 24 250.1579625321 0.1435347007 0.1291744394 0.1168335868 0.1009033358 0.8707622898 18.7152 13.5324 5.1828

0.106235284 0.0911971941 0.0777369657 0.0667468264 0.0548818084 0.339802979 12.2211 4.8265 7.39460.7517629065 0.6605157823 0.572284603 0.4988505607 0.4149954608 2.7563116399 167.9638 140.3318 27.63201.2188860037 1.0644498103 0.9134302348 0.7881754764 0.6480268729 3.8643786397 167.9638 131.0133 36.95050.4875666758 0.425785277 0.3653743935 0.3152711814 0.259211168 1.5457514559 137.0275 121.9728 15.05460.7313193279 0.6386645333 0.5480558413 0.4729042949 0.3888157049 2.3186271838 30.9363 9.0405 21.89590.7313193279 0.6386645333 0.5480558413 0.4729042949 0.3888157049 2.3186271838 30.9363 9.0405 21.89590.0731329637 0.063866771 0.0548056807 0.0472904589 0.0388815794 0.2318627184 12.2211 9.0405 3.18070.6581863642 0.5747977622 0.4932501606 0.425613836 0.3499341255 2.0867644654 18.7152 0.0000 18.7152

Deficit 0.0000

20 21 22 23 24 250.1579629723 0.1435351007 0.1291747993 0.1168339123 0.1009036169 0.8707647162 18.7153 13.5325 5.18280.1062356601 0.091197517 0.0777372409 0.0667470627 0.0548820027 0.3398041819 12.2211 4.8265 7.39460.7517653081 0.6605178946 0.5722864337 0.4988521564 0.4149967876 2.7563203539 167.9639 140.3318 27.63211.2188897309 1.064453077 0.9134330457 0.7881779071 0.6480288748 3.864390596 167.9639 131.0133 36.95060.4875681667 0.4257865837 0.3653755179 0.3152721538 0.2592119687 1.5457562384 137.0275 121.9728 15.05470.7313215642 0.6386664933 0.5480575278 0.4729057534 0.3888169061 2.3186343576 30.9364 9.0405 21.89590.7313215642 0.6386664933 0.5480575278 0.4729057534 0.3888169061 2.3186343576 30.9364 9.0405 21.89590.0731331873 0.063866967 0.0548058494 0.0472906047 0.0388816995 0.2318634358 12.2212 9.0405 3.18070.6581883769 0.5747995263 0.4932516785 0.4256151486 0.3499352066 2.0867709219 18.7152 0.0000 18.7152

Deficit 0.0000

20 21 22 23 24 250.1579633858 0.1435354764 0.1291751375 0.1168342181 0.1009038811 0.8707669955 18.7153 13.5325 5.18280.1062360134 0.0911978203 0.0777374994 0.0667472847 0.0548821853 0.3398053122 12.2212 4.8265 7.39470.7517675659 0.6605198804 0.5722881548 0.4988536566 0.4149980351 2.7563285461 167.9640 140.3318 27.63211.2188932338 1.0644561472 0.9134356875 0.7881801917 0.6480307564 3.8644018341 167.9640 131.0133 36.95070.4875695679 0.4257878118 0.3653765746 0.3152730676 0.2592127214 1.5457607337 137.0275 121.9727 15.0547

Page 150: SAGSim Recycle

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Mill Discharge, tons 0 0 0 0 4.4652243621 1.15200053607 3.4232915595 2.15479123837 2.0491808522 Actual 0 0 0 0 4.4652243621 1.15200053607 3.4232915595 2.15479123837 2.0491808522To the Crusher, tons 0 0 0 0 4.4652243621 1.15200053607 3.4232915595 0.8520884283 0.4451801025SAG Product, tons 0 0 0 0 0 0 0 1.30270281007 1.6040007497

Iteration 91 Cummulative Energy, KWH/ton 45.5 Cummulative Time, min 46.5241589371 2 3 4 5 6 7 8 9

Make-up Feed, tons 0.8459322783 1.1310773793 1.7641931986 3.4232359868 4.3727545107 1.02104842929 0.9743035243 0.50083776719 0.4821379437Crushed Pebbles, tons 0 0 0 0 0 0 4.8265463285 1.9876048272 1.3674746939Internal Feed, tons 8.3205446864 21.993999881 34.165581172 52.703806045 11.949464482 2.38594988372 8.8124863198 4.1750651083 3.3320315314To the Grate, tons 7.4745939309 20.862400694 32.40160168 49.280813782 12.041973133 2.51690931011 6.4349475158 3.84142202819 3.5316073891Internal Recycle, tons 7.4745939309 20.862400694 32.40160168 49.280813782 7.5767343837 1.36490542381 3.0116455882 1.68662614756 1.482422102Mill Discharge, tons 0 0 0 0 4.4652387492 1.1520038863 3.4233019276 2.15479588063 2.049185287 Actual 0 0 0 0 4.4652387492 1.1520038863 3.4233019276 2.15479588063 2.049185287To the Crusher, tons 0 0 0 0 4.4652387492 1.1520038863 3.4233019276 0.85209026403 0.445181066SAG Product, tons 0 0 0 0 0 0 0 1.3027056166 1.6040042211

Iteration 92 Cummulative Energy, KWH/ton 46 Cummulative Time, min 47.0292087261 2 3 4 5 6 7 8 9

Make-up Feed, tons 0.8459342287 1.1310799873 1.7641972663 3.4232438797 4.3727645929 1.02105078351 0.9743057708 0.50083892197 0.4821390554Crushed Pebbles, tons 0 0 0 0 0 0 4.826560478 1.98761065406 1.3674787028Internal Feed, tons 8.3205281596 21.993480681 34.165798946 52.704057662 11.949498977 2.38595620732 8.812511837 4.17507572358 3.3320398602To the Grate, tons 7.4745790844 20.861917117 32.401793983 49.281042236 12.042009425 2.51691618697 6.4349658291 3.84142984469 3.5316145632Internal Recycle, tons 7.4745790844 20.861917117 32.401793983 49.281042236 7.5767572187 1.36490915309 3.0116541591 1.68662957949 1.4824251134Mill Discharge, tons 0 0 0 0 4.4652522066 1.15200703388 3.42331167 2.1548002652 2.0491894498 Actual 0 0 0 0 4.4652522066 1.15200703388 3.42331167 2.1548002652 2.0491894498To the Crusher, tons 0 0 0 0 4.4652522066 1.15200703388 3.42331167 0.85209199786 0.4451819703SAG Product, tons 0 0 0 0 0 0 0 1.30270826734 1.6040074795

Iteration 93 Cummulative Energy, KWH/ton 46.5 Cummulative Time, min 47.5342587161 2 3 4 5 6 7 8 9

Make-up Feed, tons 0.8459360577 1.1310824327 1.7642010807 3.4232512811 4.3727740472 1.02105299111 0.9743078773 0.50084000482 0.4821400978Crushed Pebbles, tons 0 0 0 0 0 0 4.8265737497 1.98761611942 1.367482463Internal Feed, tons 8.3205151422 21.99299955 34.165995064 52.704293517 11.949531266 2.38596214421 8.8125357861 4.17508570374 3.3320476742To the Grate, tons 7.4745673904 20.86146911 32.401966892 49.281256267 12.042043357 2.51692264371 6.4349830264 3.84143722097 3.5316212932Internal Recycle, tons 7.4745673904 20.86146911 32.401966892 49.281256267 7.5767785685 1.36491265455 3.0116622077 1.68663281814 1.4824279384

Page 151: SAGSim Recycle

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1.809211452 1.5172029007 1.4171961617 1.1983631228 1.36356196575 1.2013425015 1.1954237146 1.07647240898 0.96680496695 0.84803522161.809211452 1.5172029007 1.4171961617 1.1983631228 1.36356196575 1.2013425015 1.1954237146 1.07647240898 0.96680496695 0.84803522160.259925644 0.1753376858 0.1494763538 0.1222925887 0.13729158586 0.1204423552 0.1196502142 0.10768175519 0.09669139947 0.0848068971.549285807 1.3418652149 1.2677198079 1.0760705341 1.22627037989 1.0809001463 1.0757735004 0.96879065379 0.87011356748 0.7632283245

10 11 12 13 14 15 16 17 18 190.398498992 0.3562175517 0.3229840657 0.2776233538 0.28442952472 0.2352363389 0.229976766 0.20861676164 0.1924600572 0.17462471010.820131735 0.5708899727 0.429254798 0.3218570848 0.2955491211 0.2228973188 0.2014469969 0.16983997007 0.14643938227 0.12468404372.475950291 1.9598332441 1.7068698134 1.4026994776 1.49138161163 1.2601080373 1.2289080057 1.09634675191 0.98354426437 0.86471295363.066538421 2.5499348284 2.3718330997 2.0015873036 2.27497103381 2.0033222699 1.9929132944 1.79436724332 1.61145412146 1.41344322811.257322601 1.032728234 0.9546333599 0.8032211024 0.91140541051 0.8019765368 0.7974863785 0.71789194625 0.64464655691 0.5654057226

1.80921582 1.5172065944 1.4171997398 1.1983662012 1.3635656233 1.201345733 1.1954269159 1.07647529707 0.96680756454 0.84803750551.80921582 1.5172065944 1.4171997398 1.1983662012 1.3635656233 1.201345733 1.1954269159 1.07647529707 0.96680756454 0.8480375055

0.259926272 0.1753381127 0.1494767312 0.1222929029 0.13729195412 0.1204426792 0.1196505346 0.1076820441 0.09669165926 0.08480712541.549289548 1.3418684817 1.2677230086 1.0760732983 1.22627366918 1.0809030539 1.0757763813 0.96879325298 0.87011590529 0.7632303801

10 11 12 13 14 15 16 17 18 190.39849991 0.356218373 0.3229848104 0.2776239939 0.28443018052 0.2352368813 0.2299772963 0.20861724265 0.19246050095 0.1746251128

0.820134139 0.5708916463 0.4292560564 0.3218580283 0.29554998754 0.2228979723 0.2014475874 0.16984046798 0.14643981157 0.12468440922.47595665 1.9598382533 1.7068742267 1.4027031246 1.49138557857 1.2601113904 1.2289112622 1.09634965687 0.98354686944 0.8647152445

3.066545367 2.54994065 2.371838713 2.0015921237 2.27497675744 2.0033273276 1.9929183039 1.79437176217 1.61145818551 1.41344680111.257325448 1.0327305918 0.9546356192 0.8032230366 0.91140770352 0.8019785615 0.7974883831 0.71789375415 0.6446481827 0.56540715191.809219918 1.5172100582 1.4172030938 1.198369087 1.36356905391 1.201348766 1.1954299208 1.07647800802 0.96681000281 0.84803964931.809219918 1.5172100582 1.4172030938 1.198369087 1.36356905391 1.201348766 1.1954299208 1.07647800802 0.96681000281 0.84803964930.259926861 0.175338513 0.149477085 0.1222931974 0.13729229954 0.1204429832 0.1196508354 0.10768231528 0.09669190311 0.08480733981.549293058 1.3418715452 1.2677260088 1.0760758897 1.22627675438 1.0809057828 1.0757790854 0.96879569274 0.8701180997 0.7632323095

10 11 12 13 14 15 16 17 18 190.398500772 0.3562191432 0.3229855087 0.2776245941 0.28443079549 0.2352373899 0.2299777935 0.20861769369 0.19246091707 0.17462549030.820136394 0.5708932161 0.4292572368 0.3218589134 0.29555080021 0.2228985852 0.2014481413 0.16984093499 0.14644021424 0.1246847522.475962615 1.959842951 1.7068783647 1.4027065441 1.49138929922 1.2601145366 1.2289143179 1.09635238283 0.98354931401 0.86471739423.066551879 2.5499461063 2.371843972 2.0015966398 2.27498212291 2.0033320717 1.9929230032 1.79437600135 1.61146199804 1.4134501531.257328118 1.0327328016 0.9546377359 0.8032248489 0.91140985306 0.8019804607 0.7974902635 0.71789545017 0.64464970787 0.5654084927

Page 152: SAGSim Recycle

Mill

Page 152

0.7313236659 0.6386683354 0.5480591129 0.4729071241 0.388818035 2.3186411005 30.9365 9.0405 21.89600.7313236659 0.6386683354 0.5480591129 0.4729071241 0.388818035 2.3186411005 30.9365 9.0405 21.89600.0731333975 0.0638671512 0.0548060079 0.0472907418 0.0388818124 0.23186411 12.2212 9.0405 3.18070.6581902684 0.5748011841 0.493253105 0.4256163823 0.3499362226 2.0867769904 18.7153 0.0000 18.7153

Deficit 0.0000

20 21 22 23 24 250.157963774 0.1435358291 0.1291754549 0.1168345052 0.100904129 0.8707691354 18.7154 13.5325 5.1828

0.1062363453 0.0911981052 0.0777377423 0.0667474932 0.0548823567 0.3398063736 12.2212 4.8265 7.39470.7517696872 0.6605217461 0.5722897718 0.498855066 0.4149992071 2.7563362427 167.9641 140.3318 27.63221.2188965238 1.0644590307 0.9134381687 0.7881823375 0.6480325237 3.8644123903 167.9641 131.0132 36.95080.4875708839 0.4257889652 0.3653775671 0.3152739259 0.2592134283 1.5457649561 137.0275 121.9727 15.05480.7313256399 0.6386700655 0.5480606016 0.4729084116 0.3888190954 2.3186474342 30.9366 9.0405 21.89610.7313256399 0.6386700655 0.5480606016 0.4729084116 0.3888190954 2.3186474342 30.9366 9.0405 21.89610.0731335949 0.0638673243 0.0548061567 0.0472908706 0.0388819184 0.2318647434 12.2213 9.0405 3.1807

0.658192045 0.5748027412 0.4932544449 0.425617541 0.3499371769 2.0867826908 18.7153 0.0000 18.7153Deficit 0.0000

20 21 22 23 24 250.1579641382 0.1435361601 0.1291757528 0.1168347746 0.1009043617 0.8707711431 18.7154 13.5326 5.18280.1062366567 0.0911983725 0.0777379702 0.0667476889 0.0548825176 0.3398073698 12.2213 4.8266 7.39470.7517716788 0.6605234978 0.57229129 0.4988563894 0.4150003075 2.756343469 167.9641 140.3318 27.63231.2188996118 1.0644617373 0.9134404978 0.7881843517 0.6480341826 3.8644222999 167.9641 131.0132 36.95090.4875721192 0.4257900479 0.3653784987 0.3152747316 0.2592140919 1.54576892 137.0274 121.9727 15.05480.7313274927 0.6386716894 0.5480619991 0.4729096201 0.3888200908 2.31865338 30.9367 9.0406 21.89610.7313274927 0.6386716894 0.5480619991 0.4729096201 0.3888200908 2.31865338 30.9367 9.0406 21.89610.0731337802 0.0638674867 0.0548062965 0.0472909914 0.038882018 0.231865338 12.2213 9.0406 3.18070.6581937125 0.5748042028 0.4932557026 0.4256186287 0.3499380728 2.086788042 18.7154 0.0000 18.7154

Deficit 0.0000

20 21 22 23 24 250.1579644797 0.1435364704 0.129176032 0.1168350272 0.1009045798 0.8707730258 18.7155 13.5326 5.18280.1062369488 0.0911986233 0.0777381839 0.0667478724 0.0548826685 0.3398083042 12.2213 4.8266 7.39470.7517735477 0.6605251416 0.5722927147 0.4988576312 0.4150013402 2.7563502499 167.9642 140.3318 27.63241.2189025087 1.0644642763 0.9134426827 0.7881862413 0.648035739 3.864431597 167.9642 131.0132 36.95100.4875732779 0.4257910635 0.3653793727 0.3152754874 0.2592147144 1.5457726388 137.0274 121.9726 15.0548

Page 153: SAGSim Recycle

Mill

Page 153

Mill Discharge, tons 0 0 0 0 4.4652647888 1.15200998917 3.4233208187 2.15480440283 2.0491933548 Actual 0 0 0 0 4.4652647888 1.15200998917 3.4233208187 2.15480440283 2.0491933548To the Crusher, tons 0 0 0 0 4.4652647888 1.15200998917 3.4233208187 0.85209363404 0.4451828187SAG Product, tons 0 0 0 0 0 0 0 1.30271076879 1.6040105361

Iteration 94 Cummulative Energy, KWH/ton 47 Cummulative Time, min 48.0393088971 2 3 4 5 6 7 8 9

Make-up Feed, tons 0.8459377718 1.1310847247 1.7642046555 3.4232582177 4.3727829078 1.02105506008 0.9743098516 0.50084101968 0.4821410748Crushed Pebbles, tons 0 0 0 0 0 0 4.826586191 1.98762124284 1.3674859879Internal Feed, tons 8.3205051623 21.992553834 34.166171547 52.704514484 11.949561476 2.38596771463 8.8125582502 4.17509508067 3.3320550011To the Grate, tons 7.4745584252 20.861054184 32.402122232 49.281456684 12.042075068 2.51692870225 6.4349991656 3.84144417612 3.5316276029Internal Recycle, tons 7.4745584252 20.861054184 32.402122232 49.281456684 7.5767985209 1.36491594005 3.0116697611 1.68663587189 1.482430587Mill Discharge, tons 0 0 0 0 4.4652765475 1.15201276219 3.4233294045 2.15480830423 2.049197016 Actual 0 0 0 0 4.4652765475 1.15201276219 3.4233294045 2.15480830423 2.049197016To the Crusher, tons 0 0 0 0 4.4652765475 1.15201276219 3.4233294045 0.85209517681 0.445183614SAG Product, tons 0 0 0 0 0 0 0 1.30271312742 1.6040134019

Iteration 95 Cummulative Energy, KWH/ton 47.5 Cummulative Time, min 48.5443592551 2 3 4 5 6 7 8 9

Make-up Feed, tons 0.8459393775 1.1310868715 1.764208004 3.4232647152 4.3727912076 1.0210569981 0.9743117009 0.5008419703 0.4821419899Crushed Pebbles, tons 0 0 0 0 0 0 4.8265978476 1.98762604312 1.3674892905Internal Feed, tons 8.3204978027 21.992141055 34.166330236 52.7047214 11.949589729 2.38597293815 8.8125793096 4.17510388532 3.3320618674To the Grate, tons 7.4745518139 20.860670012 32.402261668 49.281644264 12.042104691 2.51693438376 6.435014303 3.84145072911 3.5316335154Internal Recycle, tons 7.4745518139 20.860670012 32.402261668 49.281644264 7.5768171595 1.3649190211 3.0116768456 1.68663874907 1.4824330688Mill Discharge, tons 0 0 0 0 4.4652875319 1.15201536265 3.4233374574 2.15481198004 2.0492004466 Actual 0 0 0 0 4.4652875319 1.15201536265 3.4233374574 2.15481198004 2.0492004466To the Crusher, tons 0 0 0 0 4.4652875319 1.15201536265 3.4233374574 0.85209663036 0.4451843593SAG Product, tons 0 0 0 0 0 0 0 1.30271534968 1.6040160873

Iteration 96 Cummulative Energy, KWH/ton 48 Cummulative Time, min 49.049409781 2 3 4 5 6 7 8 9

Make-up Feed, tons 0.8459408807 1.1310888815 1.764211139 3.4232707983 4.372798978 1.02105881252 0.9743134322 0.5008428603 0.4821428467Crushed Pebbles, tons 0 0 0 0 0 0 4.8266087634 1.9876305383 1.3674923832Internal Feed, tons 8.3204926946 21.991758893 34.166472807 52.704915063 11.949616138 2.38597783363 8.8125990412 4.17511214767 3.3320682986To the Grate, tons 7.4745472252 20.860314419 32.402386714 49.281819747 12.042132352 2.51693970867 6.4350284927 3.8414568986 3.5316390527Internal Recycle, tons 7.4745472252 20.860314419 32.402386714 49.281819747 7.5768345635 1.36492190877 3.0116834866 1.68664145786 1.4824353931

Page 154: SAGSim Recycle

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1.80922376 1.5172133047 1.4172062361 1.1983717909 1.36357226985 1.201351611 1.1954327396 1.07648055118 0.96681229018 0.84804166031.80922376 1.5172133047 1.4172062361 1.1983717909 1.36357226985 1.201351611 1.1954327396 1.07648055118 0.96681229018 0.8480416603

0.259927413 0.1753388882 0.1494774164 0.1222934733 0.13729262334 0.1204432685 0.1196511175 0.10768256967 0.09669213187 0.08480754091.549296348 1.3418744165 1.2677288197 1.0760783176 1.22627964652 1.0809083425 1.0757816221 0.96879798151 0.87012015831 0.7632341194

10 11 12 13 14 15 16 17 18 190.398501579 0.356219865 0.3229861632 0.2776251567 0.28443137183 0.2352378665 0.2299782595 0.20861811642 0.19246130706 0.17462584420.820138508 0.5708946876 0.4292583432 0.321859743 0.29555156205 0.2228991598 0.2014486606 0.16984137278 0.14644059172 0.12468507342.475968206 1.9598473542 1.7068822423 1.4027097486 1.49139278693 1.260117487 1.2289171837 1.09635493937 0.98355160664 0.86471941033.066557981 2.5499512176 2.3718488965 2.0016008689 2.27498714994 2.0033365192 1.992927409 1.79437997592 1.61146557261 1.4134532956

1.25733062 1.0327348717 0.9546397179 0.803226546 0.911411867 0.8019822412 0.7974920266 0.71789704031 0.64465113784 0.56540974981.80922736 1.5172163459 1.4172091786 1.1983743229 1.36357528294 1.201354278 1.1954353824 1.0764829356 0.96681443477 0.84804354581.80922736 1.5172163459 1.4172091786 1.1983743229 1.36357528294 1.201354278 1.1954353824 1.0764829356 0.96681443477 0.84804354580.25992793 0.1753392397 0.1494777267 0.1222937317 0.13729292671 0.1204435359 0.119651382 0.10768280819 0.09669234636 0.08480772951.54929943 1.3418771063 1.2677314518 1.0760805912 1.22628235623 1.0809107422 1.0757840004 0.96880012741 0.87012208842 0.7632358164

10 11 12 13 14 15 16 17 18 190.398502336 0.3562205411 0.3229867762 0.2776256836 0.2844319117 0.235238313 0.229978696 0.20861851239 0.19246167236 0.17462617560.820140489 0.5708960664 0.4292593799 0.3218605203 0.29555227583 0.2228996981 0.2014491471 0.16984178296 0.14644094538 0.12468537462.475973445 1.9598514792 1.7068858741 1.40271275 1.49139605452 1.2601202523 1.2289198697 1.09635733567 0.98355375558 0.86472133.066563695 2.5499560032 2.3718535056 2.0016048273 2.27499185742 2.0033406864 1.9929315375 1.79438370036 1.61146892223 1.41345624041.257332963 1.0327368098 0.954641573 0.8032281345 0.91141375292 0.8019839094 0.7974936786 0.71789853039 0.64465247782 0.56541092781.809230732 1.5172191934 1.4172119325 1.1983766928 1.3635781045 1.201356777 1.1954378589 1.07648516997 0.96681644441 0.84804531271.809230732 1.5172191934 1.4172119325 1.1983766928 1.3635781045 1.201356777 1.1954378589 1.07648516997 0.96681644441 0.84804531270.259928414 0.1753395687 0.1494780172 0.1222939735 0.1372932108 0.1204437864 0.1196516299 0.1076830317 0.09669254734 0.08480790621.549302317 1.3418796246 1.2677339153 1.0760827193 1.2262848937 1.0809129906 1.075786229 0.96880213827 0.87012389707 0.7632374065

10 11 12 13 14 15 16 17 18 190.398503044 0.3562211741 0.3229873501 0.277626177 0.28443241713 0.235238731 0.2299791047 0.2086188831 0.19246201436 0.17462648590.820142344 0.5708973575 0.4292603507 0.3218612482 0.29555294425 0.2229002022 0.2014496027 0.16984216707 0.14644127657 0.12468565652.475978351 1.9598553415 1.7068892739 1.4027155597 1.4913991143 1.2601228426 1.2289223861 1.09635958057 0.98355576875 0.86472307023.066569044 2.5499604816 2.3718578172 2.0016085305 2.27499626346 2.0033445888 1.992935404 1.79438718859 1.61147205941 1.41345899841.257335157 1.0327386236 0.9546433084 0.8032296205 0.91141551809 0.8019854716 0.7974952259 0.71789992597 0.64465373282 0.565412031

Page 155: SAGSim Recycle

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0.7313292307 0.6386732128 0.54806331 0.4729107539 0.3888210246 2.3186589582 30.9368 9.0406 21.89620.7313292307 0.6386732128 0.54806331 0.4729107539 0.3888210246 2.3186589582 30.9368 9.0406 21.8962

0.073133954 0.063867639 0.0548064276 0.0472911048 0.0388821114 0.2318658958 12.2213 9.0406 3.18070.6581952767 0.5748055738 0.4932568824 0.4256196491 0.3499389132 2.0867930624 18.7154 0.0000 18.7154

Deficit 0.0000

20 21 22 23 24 250.1579647998 0.1435367612 0.1291762938 0.116835264 0.1009047843 0.8707747902 18.7155 13.5326 5.18290.1062372227 0.0911988584 0.0777383843 0.0667480444 0.05488281 0.3398091801 12.2213 4.8266 7.39470.7517753004 0.6605266831 0.5722940508 0.4988587959 0.4150023087 2.7563566091 167.9643 140.3318 27.63241.2189052246 1.0644666567 0.9134447312 0.788188013 0.6480371982 3.8644403144 167.9643 131.0132 36.95110.4875743643 0.4257920157 0.3653801921 0.3152761961 0.2592152981 1.5457761258 137.0274 121.9726 15.05490.7313308603 0.6386746411 0.5480645391 0.4729118169 0.3888219001 2.3186641887 30.9368 9.0406 21.89620.7313308603 0.6386746411 0.5480645391 0.4729118169 0.3888219001 2.3186641887 30.9368 9.0406 21.89620.0731341169 0.0638677818 0.0548065505 0.0472912111 0.0388821989 0.2318664189 12.2214 9.0406 3.18070.6581967433 0.5748068592 0.4932579886 0.4256206058 0.3499397012 2.0867977698 18.7155 0.0000 18.7155

Deficit 0.0000

20 21 22 23 24 250.1579650996 0.1435370337 0.129176539 0.1168354857 0.1009049758 0.870776443 18.7155 13.5327 5.18290.1062374793 0.0911990786 0.0777385721 0.0667482056 0.0548829425 0.3398100008 12.2214 4.8266 7.39480.7517769432 0.660528128 0.5722953031 0.4988598875 0.4150032165 2.7563625695 167.9643 140.3318 27.63251.2189077695 1.0644688873 0.9134466508 0.7881896732 0.6480385657 3.8644484839 167.9643 131.0132 36.95110.4875753823 0.4257929079 0.36538096 0.3152768602 0.2592158451 1.5457793936 137.0274 121.9725 15.05490.7313323872 0.6386759794 0.5480656908 0.472912813 0.3888227206 2.3186690903 30.9369 9.0406 21.89620.7313323872 0.6386759794 0.5480656908 0.472912813 0.3888227206 2.3186690903 30.9369 9.0406 21.89620.0731342696 0.0638679157 0.0548066657 0.0472913107 0.038882281 0.231866909 12.2214 9.0406 3.18070.6581981176 0.5748080637 0.4932590252 0.4256215023 0.3499404396 2.0868021813 18.7155 0.0000 18.7155

Deficit 0.0000

20 21 22 23 24 250.1579653803 0.1435372888 0.1291767685 0.1168356934 0.1009051551 0.8707779904 18.7156 13.5327 5.18290.1062377195 0.0911992849 0.0777387479 0.0667483566 0.0548830666 0.3398107693 12.2214 4.8266 7.39480.7517784822 0.6605294816 0.5722964763 0.4988609102 0.4150040669 2.7563681532 167.9644 140.3318 27.6325

1.218910153 1.0644709764 0.9134484486 0.7881912282 0.6480398465 3.8644561358 167.9644 131.0132 36.95120.4875763357 0.4257937436 0.3653816791 0.3152774822 0.2592163574 1.5457824543 137.0274 121.9725 15.0549

Page 156: SAGSim Recycle

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Mill Discharge, tons 0 0 0 0 4.4652977887 1.1520177999 3.4233450062 2.15481544074 2.0492036596 Actual 0 0 0 0 4.4652977887 1.1520177999 3.4233450062 2.15481544074 2.0492036596To the Crusher, tons 0 0 0 0 4.4652977887 1.1520177999 3.4233450062 0.85209799886 0.4451850574SAG Product, tons 0 0 0 0 0 0 0 1.30271744188 1.6040186023

Iteration 97 Cummulative Energy, KWH/ton 48.5 Cummulative Time, min 49.554460461 2 3 4 5 6 7 8 9

Make-up Feed, tons 0.8459422874 1.1310907623 1.7642140727 3.4232764908 4.3728062494 1.0210605104 0.9743150524 0.50084369313 0.4821436484Crushed Pebbles, tons 0 0 0 0 0 0 4.8266189802 1.98763474565 1.3674952779Internal Feed, tons 8.3204895126 21.991405182 34.166600786 52.705096238 11.949640813 2.38598241918 8.8126175191 4.17511989664 3.3320743194To the Grate, tons 7.4745443666 20.859985376 32.402498747 49.281983838 12.04215817 2.51694469662 6.4350417868 3.84146270294 3.531644236Internal Recycle, tons 7.4745443666 20.859985376 32.402498747 49.281983838 7.5768508082 1.36492461371 3.0116897084 1.68664400633 1.4824375689Mill Discharge, tons 0 0 0 0 4.4653073622 1.15202008291 3.4233520784 2.15481869661 2.0492066672 Actual 0 0 0 0 4.4653073622 1.15202008291 3.4233520784 2.15481869661 2.0492066672To the Crusher, tons 0 0 0 0 4.4653073622 1.15202008291 3.4233520784 0.85209928636 0.4451857107SAG Product, tons 0 0 0 0 0 0 0 1.30271941025 1.6040209564

Iteration 98 Cummulative Energy, KWH/ton 49 Cummulative Time, min 50.0595112871 2 3 4 5 6 7 8 9

Make-up Feed, tons 0.8459436031 1.1310925215 1.7642168166 3.423281815 4.3728130504 1.02106209846 0.9743165677 0.5008444721 0.4821443983Crushed Pebbles, tons 0 0 0 0 0 0 4.8266285381 1.98763868169 1.3674979859Internal Feed, tons 8.3204879697 21.991077898 34.166715564 52.705265653 11.949663859 2.38598671217 8.8126348143 4.17512716012 3.332079953To the Grate, tons 7.4745429806 20.859680987 32.402599021 49.28213721 12.042182259 2.51694936648 6.4350542352 3.84146816003 3.5316490856Internal Recycle, tons 7.4745429806 20.859680987 32.402599021 49.28213721 7.5768659647 1.36492714615 3.0116955344 1.68664640234 1.4824396045Mill Discharge, tons 0 0 0 0 4.4653162945 1.15202222033 3.4233587008 2.15482175769 2.0492094811 Actual 0 0 0 0 4.4653162945 1.15202222033 3.4233587008 2.15482175769 2.0492094811To the Crusher, tons 0 0 0 0 4.4653162945 1.15202222033 3.4233587008 0.85210049683 0.4451863221SAG Product, tons 0 0 0 0 0 0 0 1.30272126086 1.604023159

Iteration 99 Cummulative Energy, KWH/ton 49.5 Cummulative Time, min 50.564562251 2 3 4 5 6 7 8 9

Make-up Feed, tons 0.8459448331 1.1310941662 1.7642193818 3.4232867926 4.3728194087 1.02106358312 0.9743179844 0.50084520034 0.4821450993Crushed Pebbles, tons 0 0 0 0 0 0 4.8266374756 1.98764236219 1.367500518Internal Feed, tons 8.3204878137 21.990775153 34.166818402 52.705424003 11.949685373 2.38599072927 8.8126509944 4.17513396487 3.3320852218To the Grate, tons 7.4745428405 20.859399483 32.402688673 49.282280503 12.042204726 2.51695373628 6.4350658859 3.84147328734 3.5316536206Internal Recycle, tons 7.4745428405 20.859399483 32.402688673 49.282280503 7.5768801007 1.36492951587 3.0117009871 1.68664865355 1.4824415081

Page 157: SAGSim Recycle

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1.809233888 1.517221858 1.4172145088 1.1983789099 1.36358074538 1.2013591172 1.1954401782 1.07648726262 0.96681832659 0.84804696741.809233888 1.517221858 1.4172145088 1.1983789099 1.36358074538 1.2013591172 1.1954401782 1.07648726262 0.96681832659 0.84804696740.259928868 0.1753398767 0.1494782889 0.1222941998 0.1372934767 0.120444021 0.119651862 0.10768324103 0.09669273558 0.0848080717

1.54930502 1.3418819813 1.2677362199 1.0760847101 1.22628726868 1.0809150962 1.0757883161 0.96880402159 0.87012559101 0.7632388957

10 11 12 13 14 15 16 17 18 190.398503707 0.3562217665 0.3229878872 0.2776266386 0.28443289011 0.2352391222 0.2299794871 0.20861923001 0.1924623344 0.1746267763

0.82014408 0.570898566 0.4292612594 0.3218619295 0.29555356986 0.222900674 0.2014500291 0.16984252659 0.14644158655 0.12468592052.475982943 1.959858956 1.706892455 1.4027181887 1.49140197805 1.2601252678 1.2289247421 1.09636168256 0.98355765377 0.86472472783.066574049 2.5499646706 2.3718618489 2.0016119933 2.27500038537 2.0033482416 1.9929390234 1.79439045392 1.61147499614 1.41346158011.257337209 1.0327403201 0.9546449311 0.8032310102 0.91141716942 0.8019869339 0.7974966742 0.71790123236 0.64465490763 0.56541306381.809236841 1.5172243505 1.4172169178 1.1983809831 1.36358321596 1.2013613077 1.1954423492 1.07648922156 0.96682008851 0.84804851641.809236841 1.5172243505 1.4172169178 1.1983809831 1.36358321596 1.2013613077 1.1954423492 1.07648922156 0.96682008851 0.84804851640.259929292 0.1753401647 0.149478543 0.1222944114 0.13729372545 0.1204442406 0.1196520793 0.10768343699 0.09669291179 0.08480822661.549307549 1.3418841857 1.2677383747 1.0760865718 1.2262894905 1.080917067 1.0757902699 0.96880578457 0.87012717672 0.7632402898

10 11 12 13 14 15 16 17 18 190.398504326 0.3562223205 0.3229883896 0.2776270704 0.28443333248 0.2352394881 0.2299798448 0.20861955447 0.19246263374 0.17462704790.820145704 0.5708996965 0.4292621094 0.3218625669 0.29555415514 0.2229011154 0.2014504281 0.16984286292 0.14644187655 0.12468616742.475987239 1.9598623372 1.7068954301 1.4027206475 1.49140465704 1.2601275374 1.2289269471 1.09636364976 0.98355941791 0.8647262793.066578729 2.5499685871 2.3718656169 2.0016152299 2.27500423966 2.0033516589 1.9929424098 1.79439350912 1.61147774388 1.41346399571.257339128 1.0327419063 0.9546464477 0.803232309 0.91141871353 0.8019883019 0.7974980293 0.71790245469 0.64465600683 0.565414031.809239602 1.5172266807 1.4172191692 1.1983829209 1.36358552613 1.201363357 1.1954443805 1.07649105443 0.96682173705 0.84804996561.809239602 1.5172266807 1.4172191692 1.1983829209 1.36358552613 1.201363357 1.1954443805 1.07649105443 0.96682173705 0.84804996560.259929689 0.175340434 0.1494787805 0.1222946091 0.13729395806 0.1204444461 0.1196522827 0.10768362034 0.09669307667 0.08480837151.549309913 1.3418862467 1.2677403887 1.0760883118 1.22629156807 1.0809189109 1.0757920978 0.96880743409 0.87012866038 0.7632415941

10 11 12 13 14 15 16 17 18 190.398504906 0.3562228385 0.3229888592 0.2776274741 0.28443374606 0.2352398301 0.2299801792 0.20861985781 0.19246291359 0.17462730180.820147223 0.5709007536 0.4292629043 0.3218631629 0.29555470241 0.2229015282 0.2014508011 0.16984317742 0.14644214771 0.12468639832.475991256 1.9598654984 1.7068982112 1.402722946 1.49140716201 1.2601296602 1.2289290096 1.09636548992 0.98356106813 0.86472773013.066583104 2.5499722471 2.3718691371 2.0016182537 2.27500784208 2.0033548545 1.9929455767 1.79439636633 1.61148031358 1.41346625461.257340921 1.0327433886 0.9546478645 0.8032335224 0.91142015674 0.8019895812 0.7974992966 0.71790359781 0.64465703482 0.5654149337

Page 158: SAGSim Recycle

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0.7313338173 0.6386772328 0.5480667695 0.472913746 0.3888234891 2.3186736815 30.9370 9.0407 21.89630.7313338173 0.6386772328 0.5480667695 0.472913746 0.3888234891 2.3186736815 30.9370 9.0407 21.89630.0731344127 0.063868041 0.0548067735 0.047291404 0.0388823578 0.2318673681 12.2214 9.0407 3.18070.6581994046 0.5748091918 0.493259996 0.425622342 0.3499411313 2.0868063133 18.7155 0.0000 18.7155

Deficit 0.0000

20 21 22 23 24 250.157965643 0.1435375274 0.1291769833 0.1168358876 0.1009053229 0.8707794384 18.7156 13.5327 5.1829

0.1062379444 0.0911994779 0.0777389124 0.0667484979 0.0548831828 0.3398114886 12.2214 4.8266 7.39480.7517799232 0.660530749 0.5722975748 0.4988618677 0.4150048632 2.7563733813 167.9644 140.3318 27.63261.2189123841 1.064472932 0.9134501316 0.7881926838 0.6480410455 3.8644632993 167.9644 131.0132 36.95130.4875772282 0.4257945258 0.3653823523 0.3152780644 0.259216837 1.5457853197 137.0274 121.9725 15.05490.7313351559 0.6386784062 0.5480677793 0.4729146194 0.3888242085 2.3186779796 30.9370 9.0407 21.89630.7313351559 0.6386784062 0.5480677793 0.4729146194 0.3888242085 2.3186779796 30.9370 9.0407 21.89630.0731345465 0.0638681583 0.0548068745 0.0472914913 0.0388824298 0.231867798 12.2214 9.0407 3.18080.6582006094 0.5748102478 0.4932609048 0.425623128 0.3499417787 2.0868101816 18.7156 0.0000 18.7156

Deficit 0.0000

20 21 22 23 24 250.1579658887 0.1435377507 0.1291771842 0.1168360694 0.1009054799 0.8707807927 18.7156 13.5327 5.18290.1062381548 0.0911996585 0.0777390664 0.0667486301 0.0548832915 0.3398121615 12.2214 4.8266 7.39480.7517812717 0.660531935 0.5722986029 0.4988627639 0.4150056084 2.7563782739 167.9645 140.3318 27.63261.2189144716 1.0644747616 0.9134517062 0.7881940458 0.6480421673 3.8644700023 167.9645 131.0131 36.95130.4875780632 0.4257952577 0.3653829821 0.3152786092 0.2592172857 1.5457880009 137.0274 121.9724 15.05500.7313364084 0.6386795039 0.5480687241 0.4729154365 0.3888248816 2.3186820014 30.9371 9.0407 21.89640.7313364084 0.6386795039 0.5480687241 0.4729154365 0.3888248816 2.3186820014 30.9371 9.0407 21.89640.0731346718 0.0638682681 0.054806969 0.0472915731 0.0388824971 0.2318682001 12.2215 9.0407 3.18080.6582017366 0.5748112358 0.4932617551 0.4256238635 0.3499423845 2.0868138012 18.7156 0.0000 18.7156

Deficit 0.0000

20 21 22 23 24 250.1579661184 0.1435379594 0.1291773721 0.1168362392 0.1009056266 0.8707820588 18.7156 13.5327 5.18290.1062383515 0.0911998274 0.0777392103 0.0667487537 0.0548833931 0.3398127907 12.2215 4.8266 7.39480.7517825331 0.6605330445 0.5722995645 0.4988636021 0.4150063055 2.7563828505 167.9645 140.3318 27.63271.2189164238 1.0644764727 0.9134531789 0.7881953195 0.6480432165 3.8644762714 167.9645 131.0131 36.95140.4875788441 0.4257959421 0.3653835712 0.3152791187 0.2592177054 1.5457905085 137.0274 121.9724 15.0550

Page 159: SAGSim Recycle

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Page 159

Mill Discharge, tons 0 0 0 0 4.4653246254 1.15202422041 3.4233648988 2.15482463379 2.0492121125 Actual 0 0 0 0 4.4653246254 1.15202422041 3.4233648988 2.15482463379 2.0492121125To the Crusher, tons 0 0 0 0 4.4653246254 1.15202422041 3.4233648988 0.85210163415 0.4451868937SAG Product, tons 0 0 0 0 0 0 0 1.30272299964 1.6040252188

Iteration 100 Cummulative Energy, KWH/ton 50 Cummulative Time, min 51.0696133411 2 3 4 5 6 7 8 9

Make-up Feed, tons 0.8459459826 1.131095703 1.7642217789 3.423291444 4.3728253502 1.02106497049 0.9743193083 0.50084588087 0.4821457544Crushed Pebbles, tons 0 0 0 0 0 0 4.826645829 1.98764580217 1.3675028848Internal Feed, tons 8.3204888231 21.990495186 34.166910452 52.705571947 11.949705451 2.38599448636 8.8126661243 4.17514033658 3.3320901473To the Grate, tons 7.4745437472 20.859139216 32.402768737 49.282414322 12.042225672 2.51695782331 6.4350767845 3.84147810178 3.5316578597Internal Recycle, tons 7.4745437472 20.859139216 32.402768737 49.282414322 7.5768932799 1.36493173224 3.0117060878 1.68665076739 1.4824432875

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1.809242183 1.5172288584 1.4172212726 1.1983847313 1.36358768534 1.2013652733 1.1954462801 1.07649276853 0.96682327876 0.8480513211.809242183 1.5172288584 1.4172212726 1.1983847313 1.36358768534 1.2013652733 1.1954462801 1.07649276853 0.96682327876 0.848051321

0.25993006 0.1753406857 0.1494790023 0.1222947939 0.13729417546 0.1204446382 0.1196524728 0.1076837918 0.09669323086 0.0848085071.549312123 1.3418881728 1.2677422703 1.0760899374 1.22629350988 1.0809206351 1.0757938073 0.96880897673 0.8701300479 0.7632428139

10 11 12 13 14 15 16 17 18 190.398505447 0.3562233225 0.3229892981 0.2776278513 0.28443413253 0.2352401498 0.2299804917 0.20862014128 0.19246317509 0.17462753910.820148642 0.5709017417 0.4292636472 0.32186372 0.29555521392 0.2229019139 0.2014511497 0.16984347137 0.14644240116 0.12468661412.475995011 1.9598684528 1.7069008098 1.4027250937 1.4914095032 1.2601316449 1.228930938 1.09636721045 0.98356261107 0.86472908683.066587192 2.5499756659 2.3718724244 2.0016210775 2.2750112076 2.0033578414 1.9929485369 1.79439903719 1.61148271566 1.41346836621.257342597 1.0327447733 0.9546491876 0.8032346556 0.91142150505 0.8019907769 0.7975004811 0.71790466636 0.64465799575 0.5654157783

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0.7313375797 0.6386805306 0.5480696077 0.4729162008 0.3888255111 2.3186857628 30.9371 9.0407 21.89640.7313375797 0.6386805306 0.5480696077 0.4729162008 0.3888255111 2.3186857628 30.9371 9.0407 21.89640.0731347889 0.0638683708 0.0548070573 0.0472916495 0.03888256 0.2318685763 12.2215 9.0407 3.18080.6582027908 0.5748121598 0.4932625503 0.4256245513 0.3499429511 2.0868171865 18.7156 0.0000 18.7156

Deficit 0.0000

20 21 22 23 24 250.157966333 0.1435381544 0.1291775476 0.116836398 0.1009057637 0.870783242 18.7157 13.5328 5.1829

0.1062385354 0.0911999853 0.0777393449 0.0667488692 0.0548834881 0.3398133788 12.2215 4.8266 7.39480.7517837125 0.6605340818 0.5723004636 0.4988643859 0.4150069572 2.7563871294 167.9646 140.3318 27.63271.2189182486 1.0644780721 0.9134545554 0.7881965102 0.6480441973 3.8644821319 167.9646 131.0131 36.95140.4875795741 0.4257965819 0.3653841218 0.315279595 0.2592180977 1.5457928528 137.0274 121.9724 15.0550