soil loss estimation
DESCRIPTION
Environment EngineringTRANSCRIPT
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INVOLVE THE PROCESSES OF DETACHMENT, TRANSPORT AND DEPOSITION OF SOIL PARTICLES BY WATER
MAJOR FORCES OF SOIL EROSION: IMPACTS OF RAINDROPS AND FROM WATER FLOWING OVER THE LAND SURFACE
Erosion Sediment
ERODIBILITY soil which is susceptible to erosion
A soil ability to withstand rainsplash depend partially upon its texture characteristic
Sand and silt more vulnerable to erode
EROSIVITYpotential energy (wind,rainfall) to cause erosion
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To guide in making methodical decisions in soil conservation planning.
The equation enables the planner to predict the average rate of erosion for various combinations of management techniques on a site.
Soil loss estimation is a set of management strategies for prevention of soil being eroded from the earth‟s surface or becoming chemically altered by overuse, acidification, salinization or other chemical soil contamination
In civil construction projects, soil loss estimation is used for the following activities :
Assessment of the potential erosion hazard associated with the given project
Identification of high risk construction projects during the planning and/or design phase
The sizing of the “sediment storage volume” of Sediment Basins
Assessment of the relative performance of alternative soil conservation practices, Erosion and Sediment Control procedures or construction programs
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APPLICATION OF SOIL LOSS
IN CIVIL CONSTRUCTION
The amount of eroded soil that is delivered to a point in the watershed that is remote from the origin of the detached soil particles.
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In a watershed, soil loss includes the erosion from slopes, channels, and mass wasting, minus the sediment that is deposited after it is eroded but before it reaches the point of interest.
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Separate Diameter (mm) Comparison Feel
Very coarse sand 2.00-1.00 36" Grains easily seen, sharp, gritty
Coarse sand 1.00-0.50 18"
Medium sand 0.50-0.25 9"
Fine sand 0.25-0.10 4 1/2" Gritty, each grain barely visible
Very fine sand 0.10-0.05 1 3/4"
Silt 0.05-0.002 7/16" Grains invisible to eye, silky to touch
Clay <0.002 1/32" Sticky when wet, dry pellets hard, harsh
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SOIL SEPARATES
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SOIL PYSICAL PROPERTIES
RELATIVE SIZES OF SOIL SEPARATES
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SOIL PYSICAL PROPERTIES
SOIL TEXTURE
„UNIVERSAL‟ SOIL LOSS EQUATION (USLE)
REVISED USLE
MODIFIED USLE
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UNIVERSAL SOIL LOSS EQUATION(USLE)
Compute average annual soil loss caused by sheet and rill
erosion
Applies to overland flow on slopes
Computes sediment yield from slope
Computes deposition on slope
Computes soil particles
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Tool for conservation planning
Assess BMP effectiveness
Assess performance goals
Achieve sustainable use of soil resource
Prevent excessive sedimentation
Prevent degradation of water quality
Not for water quality enforcement
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Cropland
Construction sites
Disturbed forestland
Rangelands
Surface mined land
Reclaimed land
Landfills
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Easy to understand and use
Minimal resources
Input values readily available
Independent of land use
Vast experience (50 years)
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Model of USLE Equation
A
Topography
Erosion
Control
P
Rainfall
RLS
Crop
Soil
Sun
K
C
A = Average annual Soil Erosion Loss (t/ha/yr)
R = Rainfall Erosivity Factor (MJ.mm/(ha.hr.yr))
K = Soil Erodibility Factor (t.ha.hr/(ha.MJ.mm))
L = Slope Length Factor
S = Slope Steepness Factor
C = Cover and Management Factor
P = Conservation Practice Factor
A = RKLSCP
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The rainfall factor R accounts for differences in rainfall intensity-duration-frequency
for different location, i.e. the average number of erosion-index units in a year of rain
The erosion potential of a rainstorm is directly proportional value of two rainfall
characteristic:
i) total kinetic energy of the storm (E)
ii) Its maximum 30 minutes intensity (I30)
The erosivity factor as given by FRIM (1999)
R = (EI 30 )/ 170.2
E = 9.28P – 8838.15
Where I30 = the maximum 30-minute rainfall intensity
(mm/hr) for the storm of required ARI
E = annual erosivity (J/m2)
P = annual rainfall (mm)
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The soil-erodibility factor, K is the rate of soil loss per unit of
rainfall erosivity factor R or EI30 for a specified soil.
It is measured on a unit plot, which is a 22.1m length of uniform
9% slope continuously in clean tilled fallow.
The K factor has unit of mass per area per erosivity unit.
The soil-erodibility are affected are
i) physical features of the soil
ii) topographic features
iii) land management
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The K factor can also be determined using Nomograph.
The nomograph has been derived from the following
equation (Tew,1999)
100K = 1.0M 1.14(10-4)(12-a) + 4.5(b-3) + 8.0(c-2)
Where;
M = (% silt + % very fine sand) x (100% clay)
a = % organic matter
b = soil structure code
c = permeability class
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Energy Circuit Model of USLE
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Malaysia Soil Erodibility Nomograph for Calculation of Soil Erodibility
Factor (K) (Tew,1999)
The effects of slope length and steepness are usually combined into one
single factor, namely LS factor, which can be computed by
LS = (λ/22.13)m(0.065 + 0.046S + 0.0065S2)
where
λ = slope length (m)
S = slope gradient in percent
m = 0.2 for S<1%, 0.3 for 1%<S<3%, 0.4 for 3%<S<5%,
0.5 for 5%<S<12% and 0.6 for S>12%
Alternatively, the nomograph in FRIM(1999) can be used
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Runoff begins
Deposition begins
Slope-Length selection
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Combine Slope Length-Steepness Factor, LS (Wischmeier & Smith))
C Cover factor = The ratio of soil loss from an area with specific cover compared to bare soil conditions.
P Management practice factor = The ratio of soil loss for a given surface condition compared to a hill where plowing is perpendicular to contours.
Use C factor & P factor charts29
The cover management factor is the ratio of soil loss from a
field with given cropping and management practices to the
loss from the fallow conditions used to evaluate the K factor.
The factor C also depends upon a period of time within which
weather effects would have varying influences.
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The conservation practice factor, P is the ratio of soil loss with
one of these practices to the loss with straight-row farming up
and down the slope.
The factor P of USLE is a dimensionless supporting erosion
control, which has a specific value for slope groups from 1.1
to 24% as shown in Table 4
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Land Cover CP factor
Water body 0.000
Bareland (mining areas, newly cleared land, etc) 1.000
Horticultural 0.250
Permanent Cropland 0.150
Cropland 0.200
Rangeland 0.229
Grassland 0.015
Forest 0.010
Swamps 0.001
Residential 0.003
Impervious 0.005
Commercial 0.008
Construction 1.000
Cropping and Management Practices factor (CP)
Slope (%) Conservation Practice (P) Values
Contouring Terracing (Strip
contour-
cropping)
1.1 – 2.0 0.60 0.30
2.1 – 7.0 0.50 0.25
7.1 – 12.0 0.60 0.30
12.1 – 18.0 0.80 0.40
18.1 – 24.0 0.90 0.45
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Table 4 : Conservation Practice Factor (P) for
Contouring and Terracing
The USLE predicts the average soil loss.
The USLE considers only sheet and rill erosion nor gully
erosion.
The USLE does not calculate sediment deposition.
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Step 1 : Determine the R factor
Step 2 :Determine the K value from the nomograph i.e based on the particle size
distribution analysis of the soil sample.
Step 3 :Divide the area into sub-area of uniform slope gradient and length (LS).
Step 4 :Choose appropriate values C to represent the seasonal average of the
effect of mulch and vegetation.
Step 5 : Use recommended values of P based on the erosion control practice
being considered.
Step 6 : Evaluate the product of the five factors to obtain the soil loss per
unit area.
Step 7 : Multiply the soil loss per unit area by the total basin area to obtain
the total sediment volume.
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REVISED UNIVERSAL SOIL LOSS EQUATION(RUSLE)
RUSLE is commonly used to predict long-time average soil loss rates.
RUSLE considered best estimates based on long-term average rainfall records.
RUSLE are not absolute values, nor an estimate of soil losses within a given year or given time period.
RUSLE does not attempt to predict sediment deposition rates or sediment transportation down-slope of sediment control measures.
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Revised Universal Soil Loss
Equation (RUSLE)
Similar as RUSLE however, three of the five parameters have been updated.
The updated parameters are :
Rainfall factor, R
Soil erodibility factor, K
Topographic factor, LS
The R factor derived from probability statistic by analyzing additional rainfall
records of individual storm.
The K factor modified to take into account for seasonal changes.
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Revised Universal Soil Loss
Equation (RUSLE)
R = 164.74 (1.1177)s S0.64444
Where;
S = 2 year ARI, 6hour rainfall event (mm)
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Rainfall Erosivity Factor, R
No. Soil Layers K Factor Texture Hydrological Soil Group
1 Beriah a 0.054 Clay D
b 0.057 Clay D
c 0.057 Clay D
2 Bukit Temiang a 0.042 Sandy clay C-D
b 0.035 Clay loam C
c 0.035 Clay loam C
3 Chempaka a 0.049 Sandy clay loam C
b 0.045 Sandy clay loam C
c 0.045 Sandy clay loam C
4 Clay Over Organic a 0.048 Clay D
b 0.048 Clay D
c 0.048 Clay D
5 Holyrood a 0.048 Sandy clay loam C
b 0.048 Sandy clay loam C
c 0.048 Sandy clay loam C
6 Organic Clay a 0.046 Clay D
b 0.042 Clay D
c 0.042 Sandy clay C-D 40
Soil Erodibility Factor, K
Accounts for the effect of topography on erosion.
The L factor represents the slope length, and the S factor represents the slope steepness.
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Revised Universal Soil Loss
Equation (RUSLE) Schematic
slope failure
Slope Length and Steepness Factor, LS
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Slope Length and Steepness Factor, LS
Deposition Beginning and
Ending on a Slope
SLOPE
M
Slope Length, in meters (λ)
s (%) S (◦) S (rad) 1.0 3.0 5.0 10.0 15.0 20.0 30.0 50.0 75.0 100.0
0.20 0.12 0.002 0.200 0.040 0.050 0.055 0.064 0.069 0.073 0.079 0.088 0.095 0.101
0.50 0.29 0.005 0.200 0.048 0.060 0.067 0.076 0.083 0.088 0.095 0.105 0.114 0.121
1.00 0.57 0.100 0.300 0.046 0.065 0.075 0.093 0.105 0.114 0.129 0.15 0.169 0.185
2.00 1.15 0.200 0.300 0.072 0.100 0.117 0.144 0.163 0.178 0.200 0.234 0.264 0.288
3.00 1.72 0.030 0.400 0.076 0.118 0.144 0.190 0.224 0.251 0.295 0.362 0.426 0.478
4.00 2.29 0.040 0.400 0.102 0.159 0.195 0.257 0.302 0.339 0.399 0.489 0.575 0.645
5.00 2.86 0.050 0.500 0.097 0.168 0.217 0.308 0.377 0.435 0.533 0.688 0.842 0.973
6.00 3.43 0.060 0.500 0.122 0.212 0.273 0.387 0.473 0.547 0.669 0.864 1.059 1.222
8.00 4.57 0.080 0.500 0.180 0.313 0.404 0.571 0.699 0.807 0.989 1.276 1.563 1.805
9.00 5.14 0.090 0.500 0.214 0.370 0.478 0.676 0.828 0.956 1.171 1.511 1.851 2.137
12.00 6.84 0.119 0.600 0.242 0.468 0.636 0.964 1.230 1.462 1.864 2.533 3.23 3.839
14.00 7.97 0.139 0.600 0.309 0.598 0.812 1.231 1.570 1.866 2.380 3.234 4.124 4.902
16.00 9.09 0.159 0.600 0.384 0.743 1.010 1.530 1.952 2.320 2.959 4.02 5.127 6.093
20.00 11.31 0.197 0.600 0.559 1.081 1.469 2.226 2.839 3.374 4.303 5.846 7.457 8.861
25.00 14.04 0.245 0.600 0.823 1.591 2.162 3.277 4.179 4.303 6.334 8.606 10.977 13.045
30.00 16.70 0.291 0.600 1.138 2.199 2.988 4.529 5.777 8.756 8.756 11.896 15.173 18.032
40.00 21.80 0.381 0.600 1.919 3.710 5.041 7.640 9.744 14.769 14.769 20.067 25.593 30.415
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Slope Length and Steepness Factor, LS
LS factor calculated using MSMA approach
The factor that involves the most professional judgement. Length
determinations made by users can vary greatly for the same site.
To apply RUSLE, erosion can be calculated for several different
sub-areas on a site and the results averaged according to the area
represented by each slope length.
Sometimes a particular position on the landscape is chosen as the
location for the slope length to represent the whole site.
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Slope Length and Steepness Factor, LS
The LS factor uses different eqn. than used in USLE. The eqn. has
been developed to reflect rangeland, row crop, construction sites and
thawing soil conditions.
The C and P factor represents a combined effect of interrelated cover
and management variables.
RUSLE brings in a mixture of empirical and process-based erosion
technology to provide a better measure of the effect land management
on erosion rates.
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Revised Universal Soil Loss Equation (RUSLE)
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Crop Management, C Factor
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Erosion Control Practice, C Factor
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Erosion Control Practice, P Factor
The limitations of RUSLE can be summarized as follows:
RUSLE provides soil-loss estimates rather than absolute soil-loss data.
The soil-loss estimates are long-term average rates rather than precipitation-event
specific estimates.
There are hill slope-length and gradient limits for which the component RUSLE
equations have been verified.
RUSLE does not produce watershed-scale sediment yields, and it is inappropriate
to input average watershed values for the computation of the RUSLE factors.
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Revised Universal Soil Loss
Equation (RUSLE)
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MODIFIED UNIVERSAL SOIL LOSS EQUATION(MUSLE)
The Modified USLE is used to calculate sediment yield of a basin
as a result of a specific storm event.
T = Ψ2 (V x QP) 0.56 x K x LS x C x P
where
T = sediment yield per storm event (tones or tons)
Ψ2 = 89.6 for SI units and 95.0 for English units
V = Volume of runoff (cubic meters or acre-feet)
QP = Peak flow ( m3/s or ft3/s )
K, LS, C and P are USLE Parameters
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Modified Universal Soil Loss
Equation (MUSLE)
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EXAMPLES
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1. Catchment area :
Total Area for Plot 1 & 2 = 38500 + 47750
= 86250 m2
= 8.62 ha
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Soil Erodibility Factor (K factor)
Malaysia
1.How to determine K
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Summary of Laboratory Test Result (Deng Seng, 2004)Malaysia
1.How to determine K
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Hand
Auger No.
Depth
(m)
% Silt &
Very Fine
Sand
% Sand
(0.06 – 2.0
mm)
%
Organic
Matter
Soil Structure
Classification
Permeability
Classification
K Factor Average
K factor
HA1 0.5
1.0
41.7
37.5
43.1
27.1
0.1
0.1
3
4
3
2
0.12
0.05
0.09
HA2 0.5
1.0
34.5
23.4
53.1
56.0
0.1
0.1
3
3
3
3
0.09
0.08
0.09
HA3 0.5
1.0
36.7
50.1
54.3
38.8
0.1
0.1
3
3
3
3
0.11
0.20
0.16
HA4 0.5
1.0
35.1
36.4
50.8
52.9
0.1
0.1
3
3
3
3
0.09
0.10
0.10
HA5 0.5
1.0
37.7
42.2
49.1
38.5
0.1
0.1
3
3
3
3
0.10
0.10
0.10
HA6 0.5
1.0
83.8
86.0
16.0
13.9
0.1
0.1
3
2
4
4
0.44
0.45
0.45
Summary of Laboratory Factor Analysis Result Summary
1.How to determine K
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1.How to determine K
Malaysian Soil Series
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1.How to determine K
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1.How to determine K
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1. Calculation of LS factor using equation as follow
LS = (λ/22.13)m (0.065 + 0.0046S + 0.0065S2)
where
S = 10.0%
m = 0.50 for 5%<S<12%
λ = 60.0m
Hence, the LS factor;
LS = 1.2531
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Assuming the condition at site is bareland (newly cleared area)
CP = 1.00
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Storm Event
The design storm event for Plot 1 & Plot 2 (3month ARI)
Plot 1 catchment area = 38500 m2
Plot 2 catchment area = 47750m2
Overland flow length = 500m
Duration of storm = 16.2 min
Intensity of design storm = 104.8 mm/hr
Runoff coefficient = 0.74
Sub-catchment (m2)
Volume(m3)
Peakflow(m3/s)
Kfactor
LS factor
CPfactor
SedimentYield (tones)
38500 806.153 0.8294 0.09 1.2531 1.00 386.04
47750 999.8392 1.0286 0.09 1.2531 1.00 491.31
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Total sediment yield for Plot 1 and Plot 2 = 877.35 tonnes per storm
event
4. Calculation of sediment yield using MUSLE
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Calculation of rainfall factor using the following methods:
i) Using the following empirical study in Indonesia by Bols (1978)
R1 = 2.5 P2
100 x (0.073P + 0.73)
where
R1 = Rainfall Erosivity Factor (MJ.mm/ha.hr.yr)
P = Annual Rainfall (mm)
ii) Relationship given by FRIM (1999)
R2 = (EI 30) .
170.2
E = 9.28P – 8838.15
where E = Rainfall Erosivity factor (J/m2)
P = Annual Rainfall (mm)
I30 = The maximum 30-minutes rainfall intensity with design ARI
(mm/hr)
No. Station
Name
Station
No.
Source Average Annual
Rainfall (mm)
I 30 R factor
(i)
R factor
(ii)
1 Ladang The Blue
Valley
9001 TNB 2332.3 71.3 795.323 5364.51
2 Pejabat TNB Kg
Raja
9002 TNB 2226.6 71.3 759.125 4953.59
3 Alur Masuk
Telom
9003 TNB 1993.3 71.3 679.229 4046.62
Sub-catchment (m2)
R factor
(i)
R factor
(ii)
K
Factor
LS
Factor
CP
Factor
Soil
Loss (i)
(tones)
Soil
Loss (ii)
(tones)
38500 744.56 4788.24 0.09 1.2531 1.00 83.97 540.013
47750 744.56 4788.24 0.09 1.2531 1.00 83.97 540.013
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3 rainfall stations with their average annual rainfall
6. Calculation of soil loss using USLE
Total soil loss for Plot 1 and Plot 2 (Bols eqn.) = 167.94 tonnes/ha.yr
Total soil loss for Plot 1 and Plot 2 (FRIM eqn.) = 1,080.026 tonnes/ha.yr
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Storm Event
The design storm event for Plot 1 & Plot 2 (3month ARI)
Plot 1 catchment area = 38500 m2
Plot 2 catchment area = 47750m2
Overland flow length = 500m
Intensity of design storm = 104.8 mm/hr
Runoff coefficient = 0.74
Sub-catchment (m2)
Volume(m3)
Peakflow(m3/s)
Kfactor
LS factor
CPfactor
SedimentYield (tones)
38500 806.153 0.8294 0.09 1.2531 1.00 386.04
47750 999.8392 1.0286 0.09 1.2531 1.00 491.31
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Total sediment yield for Plot 1 and Plot 2 = 877.35 tonnes per storm
event
7. Calculation of sediment yield using MUSLE
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USLE
Total soil loss for Plot 1 and Plot 2 (Bols eqn.) =
269.74 tonnes/ha.yr
Total soil loss for Plot 1 and Plot 2 (FRIM eqn.)
= 1,667.48 tonnes/ha.yr
MODIFIED USLE
Total sediment yield for Plot 1 and Plot 2
= 1354.58 tonnes per storm event
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ASSIGNMENT
The exercise given is to enable the participants to predict soil loss using
USLE and the sediment yield using MUSLE equation.
1.Given soil properties. Calculate K factor using nomograph.
Catchment Depth % silt
& very
fine
sand
% sand %
organic
matter
Soil structure
Classification
Permeability
Classification
K
factor
Average
K
A 0.1 36.4 54.3 0.1 3 3
0.5 50.1 38.8 0.1 3 3
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2. Calculate LS factor.
Given: S = 15%
λ = 70 m
3. Calculate R factor using FRIM equation;
Site: Sibu
(i)AR1 2 year ; a= 3.0878, b = 1.6430, c = -0.4472, d = 0.0262
(ii) P = 3000mm
Find;
(i)2I30
(ii)R
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4. Calculate soil loss;
Given: CP = 1.00
A = RKLSCP
5. Calculation of sediment yield using MUSLE eqn.
Use K,LS,CP from previous USLE exercise.
Given:
Catchment area A = 40,000m2
Duration of storm = 30 min
Intensity of design storm = 93.088 mm/hr
Runoff coeff. = 0.82
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The exercise given is to enable the participants to predict soil loss using USLE
and the sediment yield using MUSLE equation.
1.Given soil properties. Calculate K factor using nomograph.
Catchment Depth % silt
& very
fine
sand
% sand %
organic
matter
Soil structure
Classification
Permeability
Classification
K
factor
Average
K
A 0.1 36.4 54.3 0.1 3 3 0.1000 0.1475
0.5 50.1 38.8 0.1 3 3 0.1950
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2. Calculate LS factor.
Given: S = 15%
therefore choose m = 0.6
λ = 70 m
LS = ( λ / 22.13) m (0.065 + 0.046S + 0.0065S2)
= (70 / 22.13)0.6 (0.065 + 0.046[15]) + 0.0065(15) 2)
= (1.9955)(0.065 + 0.69 + 1.4625)
= (1.9955).(2.2175)
= 4.425
3. Calculate R factor using FRIM equation ;
Site: Sibu
(i) ARI 2 year ; a= 3.0879, b = 1.6430, c = -0.4472, d = 0.0262
(ii) P = 3000mm
Find;
(i) 2I30 = 93.088 mm/hr ; (where ln 2I30 = 4.534)
(ii) R = EI30/170.2 ; where E = 9.28P – 8838.15
= 9.28(3000) – 8838.15
= 19,001.85 J/m2
therefore R = (19,001.85 x 93.088)/170.2
= 10,392.74 MJ.mm/ha.hr.yr
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4. Calculate soil loss;
Given: CP = 1.00
A = RKLSCP
= 10,392.74 x 0.1475 x 4.425 x 1.0
= 6,783.21 tonne/ha/yr
5. Calculation of sediment yield using MUSLE eqn.
Use K,LS,CP from previous USLE exercise.
Given:
Catchment area A = 40,000m2 = 4 ha
Duration of storm = 30 min
Intensity of design storm = 93.088 mm/hr
Runoff coeff. = 0.82
T = Ψ2 (V x QP) 0.56 x K x LS x C x P ; where Ψ = psi
= 89.6 for S.I units
QP = CIA/360 = (0.82 x 93.088 x 4) / 360
= 0.848 m3/sec
Volume, V = Q x t = 0.848 x (30 x 60) = 1,526.4 m3
As such ,
T = 89.6 x (1,526.4 x 0.848) 0.56 x 0.1475 x 4.425 x 1.0
= 89.6 x 55.30 x 0.1475 x 4.425 x 1.0
= 3,233.99 tonnes 76
Density of sediment, ρ = 2.6 tons/m3
ρ = Weight / Volume
Volume sediment = 3,233.99 / 2.6= 1,243.84 m3
Assumption: Cost for excavation and transportation of sediment at site;1 m3 = RM 10.00
Therefore cost for excavation + transportation = 1,243.84 m3 x RM 10.00= RM 12,438.42 per rainfall event
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