optimizacion of lift gas allocation in a gas lifted oil field.pdf
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8/10/2019 Optimizacion of lift gas allocation in a gas lifted oil field.pdf
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8/10/2019 Optimizacion of lift gas allocation in a gas lifted oil field.pdf
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1. Lift gas distribution manifold 2. Gas lift choke valves 3.Annulus4. Tubing 5. Gas injection valve 6. Reservoir 7. Production choke valve
8. Gathering manifold 9. Multiphase meters 10. Pressure and temperaturetransducer 11. Packer
Lt_vl = La_vl = vertical length of tubing/annulus above the gas injection point
Lr_vl = vertica l length of tubing below the gas injection point
ir
ith
iwf
igop
wio
wiga
wio = f(wiga)
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5i=1
wiga = wgc
wiga
ith
wgc
Pc
Pia
wiga
wiga = N6Cv(u
i1)Y
i1
gpmax(Pc Pia, 0)
3600
kg
sec
N6 = 27.3 ui1
ith
Pc Pia
ith
gp
3
Pc Yi1
Cv(ui1)
Yi1
Yi1 = 1 Y
Pc P
ia
max(Pc, Pminc )
Y =constant= 0.66
Pminc
Pc
Pi
a
Pmin
c
Yi1
Cv(ui1)
Cv(ui1) =
0 ui1 5
0.111ui1 0.556 5< ui1 50
0.5ui1 20 ui1 > 50
ui1 Cv ui1
Cv
gp Pc
gp = 105 M Pc
RTpz|Pc=200
kg
m3
20 103
Pc
Tp
z|Pc=200
z = 2.572108P3+2.322105P20.005077P+ 1
gp
3
ui1
wiga
ui1
wiga
0.323 wiga 11.66 kg
sec
wio wiga
wi
ginj
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wiginj =KiYi2
igamax(P
iainj P
itinj , 0)
3600
kg
sec
Ki
Piainj
Pitinj
iga
Yi2
Yi2 = 1 Y
Piainj P
itinj
max(Piainj, Pminainj )
, Y = 0.66
Pminainj
Pitinj =Piainj
wiginj3600
KiYi2
2iga
bar
Piainj
Pia
P
i
ainj =Pi
a+
igagLia vl
105
Lia vl
Pitinj =Pia+
igagLia vl
105
wiginj3600
KiYi2
2iga
Pia= Pc
wiga3600N6Cv(ui1)Y
i1
2gp
bar
Piwf
Piwf =Pitinj+
ogLir vl
105 bar
Lir
vl
o 3
Piwf =Pia+
igagLia vl
105
wiginj3600
KiYi2
2iga
+ogL
ir vl
105 bar
Piwf =Pc
wiga3600
N6Cv(ui1)Yi1
2gp
+igagL
ia
vl
105
wiginj3600
KiYi2
2iga
+ogL
ir
vl
105 bar
w
i
o
wio=P Iimax(Pir P
iwf, 0)
3600
kg
sec
Pir
wio= P Ii
3600
Pir Pc+ wiga3600
N6Cv(ui1)Yi1
2gp
igagLia vl
105
+ P Ii
3600
wiginj3600
KiYi2
2iga
ogL
ir vl
105
kg
sec
f(wiga) =
5i=1
P Ii
3600Pir Pc+
wiga3600
N6Cv(ui1)Yi1
2gp
igagL
ia
vl
105
+5
i=1
P Ii
3600
wiginj3600
KiYi2
2iga
ogL
ir vl
105
kg
sec
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8/10/2019 Optimizacion of lift gas allocation in a gas lifted oil field.pdf
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5
i=1wiga = wgc
0.323 wiga 11.66 kg
sec
Aeq Beq
Aeqx Beq
1 1 1 1 1
Aeq
w1gaw2gaw3gaw4gaw5ga
x
= wgcBeq
0.323 lb wiga 11.66 ub
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3
3
P I4 > P I1 > P I2 > P I3 > P I5
20 40 60 80 100 120
325
330
335
340
time[hr]
totaloilproduction
[kg/sec]
total oil production from 5 wells
40 50 60 80 100 120332
334
336
338
340
342
344
346
time[hr]
totaloilproduction
[kg/sec]
total oil production from 5 wells
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40 60 80 100 120
1.2
1.4
1.6
1.8
2
2.2
2.4
2.6
2.8
time[hr]
gasflowr
ateintoannuluswg
a[kg/sec]
gas flow rate into annulus
well 1
well 2
well 3
well 4
well 5
40 50 60 80 100 120
0.8
1
1.2
1.4
1.6
1.8
2
2.2
2.4
time[hr]
gasflowr
ateintoannuluswg
a[kg/sec]
gas flow rate into annulus
well 1
well 2
well 3
well 4
well 5
0 20 40 60 80 100 120 14020
30
40
50
60
70
80
90
100
time[hr]
oilproductionwo
[kg/sec
]
oil produced from reservoir
well 1
well 2
well 3
well 4
well 5
3
3
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40 60 80 100 120 140 160 180328
330
332
334
336
338
340
342
344
346
348
time[hr]
total
oilproduction
[kg/sec]
total oil production from 5 wells
Optimization activated(second time at t = 120 hrs)
Gas supplyreduced to 36000 Sm3/hrat t = 90 hrs
Optimization activated(first time at t = 50 hrs)
3
3
40 60 80 100 120 140 160
310
315
320
325
330
335
340
345
time[hr]
totaloilproduction
[kg/sec]
total oil production from 5 wells
Optimzation activatedat t =120 hrs(first time after applyingdisturbance)
Gas supplyreduced to 36000Sm3/hr
at t = 60 hrs
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8/10/2019 Optimizacion of lift gas allocation in a gas lifted oil field.pdf
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40 60 80 100 120 140332
334
336
338
340
342
344
346
time[hr]
totaloilproduction
[kg/sec]
total oil production from 5 wells
40 60 80 100 120 140
0.8
1
1.2
1.4
1.6
1.8
2
2.2
time[hr]
gasflowr
ateintoannuluswg
a[
kg/sec]
gas flow rate into annulus
well 1
well 2
well 3
well 4
well 5
40 60 80 100 120 140
20
40
60
80
time[hr]
oilproductionwo
[kg/sec]
oil produced from reservoir
well 1
well 2
well 3
well 4
well 5
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8/10/2019 Optimizacion of lift gas allocation in a gas lifted oil field.pdf
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http://creativecommons.org/licenses/by/3.0http://dx.doi.org/10.1115/1.3185345http://dx.doi.org/10.1016/j.petrol.2010.03.028http://dx.doi.org/10.1155/2007/81519http://dx.doi.org/10.1016/j.petrol.2007.03.004http://dx.doi.org/10.1021/ie900867rhttp://dx.doi.org/10.1016/j.compchemeng.2004.12.003http://dx.doi.org/10.1016/j.ejor.2005.03.004