8/10/2019 Optimizacion of lift gas allocation in a gas lifted oil field.pdf

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1

2

1

1

2

http://dx.doi.org/10.4173/mic.2012.1.2

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0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0

0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0

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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)

8/10/2019 Optimizacion of lift gas allocation in a gas lifted oil field.pdf

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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

8/10/2019 Optimizacion of lift gas allocation in a gas lifted oil field.pdf

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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

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

8/10/2019 Optimizacion of lift gas allocation in a gas lifted oil field.pdf

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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

8/10/2019 Optimizacion of lift gas allocation in a gas lifted oil field.pdf

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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

8/10/2019 Optimizacion of lift gas allocation in a gas lifted oil field.pdf

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3

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

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