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Ref.1: Ikoku, Natural Gas Production Engineering, John Wiley & Sons, 1984, Chapter 7. Ref.2: Menon, Gas Pipeline Hydraulic, Taylor & Francis, 2005, Chapter 3. 1

Sales Gas Pipeline Part II

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Sales Gas Pipeline Part II. Ref.1: Ikoku, Natural Gas Production Engineering, John Wiley & Sons, 1984, Chapter 7. Ref.2: Menon, Gas Pipeline Hydraulic, Taylor & Francis , 2005, Chapter 3. Single Phase Gas Flow Series Pipeline with Elevation Change. P 4. P 2. d 4 , L 4. D Z 4. - PowerPoint PPT Presentation

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Page 1: Sales Gas Pipeline Part II

Ref.1: Ikoku, Natural Gas Production Engineering, John Wiley & Sons, 1984, Chapter 7.Ref.2: Menon, Gas Pipeline Hydraulic, Taylor & Francis, 2005, Chapter 3.

1

Page 2: Sales Gas Pipeline Part II

Single Phase Gas Flow Series Pipeline with Elevation Change

P2

P1

P3

P4

P5

ii

isciiii

avav

igi

i

S

ii

gavmavgi

Si Tz

ZS

SeL

dEqTfz

PeP

0375.0,1)/(10527.2

5

2521

2

255

21

2 )/(10527.2,1 EqKS

eLd

TfzKPeP

sc

iiiii

ggi

S

ii

avmavi

Si

2

Page 3: Sales Gas Pipeline Part II

Single Phase Gas Flow Series Pipeline with Elevation Change

115

1

22

21

1,1

11

1111

SeLLL

dTfz

KPePS

eeavmavS

225

2

23

22

1,2

22

2222

SeLLL

dTfz

KPePS

eeavmavS

335

3

24

23

1,3

33

3333

SeLLL

dTfz

KPePS

eeavmavS

445

4

25

24

1,4

44

4444

SeLLL

dTfz

KPePS

eeavmavS

3

Page 4: Sales Gas Pipeline Part II

Single Phase Gas Flow Series Pipeline with Elevation Change

1

111

2

2221

3

33312

4

444123

4321

51

52

53

542

52

1

eavmav

eavmavS

eavmavSS

eavmavSSS

SSSS

Ld

TfzL

dTfz

e

Ld

TfzeL

dTfz

eKPeP

n

ie

i

avmavS

n

S

i

iii

i

jj

n

ii

Ld

TfzeKPeP

15

21

21

1

11

n

ie

i

b

m

m

avav

avavS

b

mavavn

S

i

b

iii

i

jj

b

n

ii

Ldd

ff

TzTz

edf

TzKPeP1

5

5

52

12

1

1

11

4

Page 5: Sales Gas Pipeline Part II

Single Phase Gas Flow Series Pipeline with Elevation Change

n

ie

i

b

m

m

avav

avavS

b

mavavn

S

i

b

iii

i

jj

b

n

ii

Ldd

ff

TzTz

edf

TzKPeP1

5

5

52

12

1

1

11

1,,1,1: 1 mmb

av

av

av

av ffddTT

zz

Assumeb

ii

Series

sc

emavavgg

nS L

d

fTzEqPeP 5

1

252

12

11

)/(10527.2

n

ii

i

i

i

jj

Series

Sn

ie

im

mS

e eSLdd

ff

eLWhere 1

1

1

1 ,:1

5

51

5

Page 6: Sales Gas Pipeline Part II

Single Phase Gas Flow Series Pipeline with Elevation Change

Series

sce

avavggn

S Ld

TzEqPeP 3/16

1

272

12

1

)/(100864.8

n

ie

i

S

e i

i

jj

SeriesL

ddeLWhere

13/16

3/161

1

1:

)(032.0: 3/1 Weymouthd

fAssumei

mi

6

Page 7: Sales Gas Pipeline Part II

Single Phase Gas Flow Parallel Pipeline with Elevation Change

P1 P2

LeA , dA , qA

LeB , dB , qB

LeC , dC , qC

5.05

5.05

5.05

5.05

ParallelbCCBBAA em

b

em

C

em

B

em

A

CBAtotal

LfdK

Lfd

Lfd

LfdK

qqqq

5.02

22

1

5.055.0

522

21 )(94.198:,)(94.198

avavg

S

ememavavg

S

g TzPePEKWhere

LfdK

LfTzdPePEq

sc

7

Page 8: Sales Gas Pipeline Part II

Single Phase Gas Flow Parallel Pipeline with Elevation Change

25.05

5

25.05

5.05

5.05

5

C

Aj em

j

m

b

em

C

em

B

em

A

m

b

e

jj

b

CCBBAA

b

Parallel

Lfd

fd

Lfd

Lfd

Lfd

fd

L

23/83/8

1

,:

A

C

A

B

ee

eeeAb

dd

dd

LL

equationWeymouthandLLLddAssume

A

Parallel

CBA

8

Page 9: Sales Gas Pipeline Part II

Single Phase Gas Flow Looped Pipeline with Elevation Change

P2P1

LeA , dA , qA

LeB , dB , qB

LeC , dC , qCPx

C

AA

LoopSeries

A

Parallel eS

A

B

eee

A

B

ee Le

dd

LLL

dd

LL

23/823/8

11

equationWeymouthandddLLAssume CAee BA,,:

5.02

22

1

5.03/16

5.03/162

22

1 )(1.1112:,)(1.1112

avavg

S

e

A

eavavg

AS

g TzPePEKWhere

LdK

LTzdPePEq

LoopLoop

sc 9

Page 10: Sales Gas Pipeline Part II

Single Phase Gas Flow Looped Pipeline For Increasing Capacity

P2P1

LeA , dA , qA

LeB , dB , qB

LeC , dC , qCPx

5.03/16

5.03/16

,:

LoopC

A

A e

Anew

eS

e

Aold L

dKqLeL

dKqPipelineOld

equationWeymouthandddLLAssume CAee BA,,:

C

AA

C

A

A

C

A

A

Loop

eS

A

B

e

eS

e

eS

e

A

e

A

old

new

Le

dd

LLeL

LeLd

Ld

qq

23/8

3/16

3/16

2

110

Page 11: Sales Gas Pipeline Part II

Single Phase Gas Flow Looped Pipeline For Increasing Capacity

P2P1

LeA , dA , qA

LeB , dB , qB

LeC , dC , qCPx

C

A

A

C

A

e

C

A

A

A

ee

Se

eS

fe

Se

ef LeL

Lex

LeLL

xAssume

1:

23/8

2

23/8

2

1

11

1

1

1

1

A

B

new

old

f

f

A

B

fold

new

dd

qq

xx

dd

xqq

e

e

e

11

Page 12: Sales Gas Pipeline Part II

Single Phase Gas Flow Optimum Diameter of Looped Pipeline

P2P1

LeA , dA , qA

LeB , dB , qB

LeC , dC , qCPx

23/8

5.12

1

111)(:

A

B

B

new

oldCAbaseB

dd

dqqLLCCpipelinehorizontalFor

)( :cost Installed 5.15.1CAfBbaseBBBbaseB LLxdCCLdCC

Assume that the cost of a pipe with one inch diameter and one foot length is Cbase

y)graphicall problem thisSolve(0dd:

B

BB d

CdForOptimum

Page 13: Sales Gas Pipeline Part II

Single Phase Gas Flow Example 1: Description

P2

P1

P3

P4

P5

For the above pipeline, calculate the exit pressure of each segments (P2, P3, P4, P5) based on Weymouth equation and Hysys software.

Feed specifications: T1=50 oF, P1=1000 psia, qsc=200 MMscfd, C1=90%, C2=10% (mole)

Pipeline specifications:L1=20 km, ΔZ1=2000 m, L2=30 km, ΔZ2=-500, L3=15 km, ΔZ3=600, L4=50 km, ΔZ4=-800, d1= d2= d3= d4= 20 in, T5=35 oF, E=0.95(in Weymouth) 13

Page 14: Sales Gas Pipeline Part II

Single Phase Gas Flow Example 1: Solution

602.045.17,5.502Air

ggiig

oav M

MMyMRT

psiaPPPPPpsiaPAssume av 7.816

32600 2

52

1

35

31

5

85.0211.1,414.15.355,3.674 avprpro

pcpc zPTRTpsiaP

1387.0,1041.0,0867.0,3468.00375.0

4321

1

SSSTz

ZS

avav

g

psiaPLd

TzEqPeP

fteLeLeLLLS

Series

sc

Series

eavavggS

SSSe

SSe

Seee

)655(612)/(100864.8

499488,2255.0

53/161

272

12

5

321

4

21

3

1

21

Hysys

Page 15: Sales Gas Pipeline Part II

Single Phase Gas Flow Example 1: Solution

psiaPLd

TzEqPeP

fteLeLLLS

Series

sc

Series

eavavggS

SSe

Seee

)711(700)/(100864.8

279072,3642.0

43/161

272

12

4

21

3

1

21

psiaPLd

TzEqPeP

fteLLLS

Series

sc

Series

eavavggS

Seee

)782(773)/(100864.8

211803,3642.0

33/161

272

12

3

1

21

psiaPLd

TzEqPeP e

avavggS sc )800(805)/(100864.8

23/161

272

12

2 1

1

Hysys

Hysys

Hysys

15

Page 16: Sales Gas Pipeline Part II

Single Phase Gas Flow Example 2: Description

P2P1

LA , dA

LB , dB

LC , dC Px

An old pipeline has the following specification:

Feed specifications: T1=50 oC, P1=1000 psia, qold =1500 MMscfd, C1=90%, C2=10% (mole)

Pipeline specifications:LA+LC =100 km, ΔZ=0, dA= dC= 42 in, T2=42 oC, E=0.95(in Weymouth)

a)Calculate the outlet pressure (P2)

b)The pipeline capacity is increased by 25% (qnew=1875 MMscfd). Calculate the optimum length and diameter of the looped pipeline.

Page 17: Sales Gas Pipeline Part II

Single Phase Gas Flow Example 2: Solution

602.045.17,575Air

ggiig

oav M

MMyMRT

psiaPPPPPpsiaPAssume av 876

32740 2

22

1

32

31

2

905.030.1,62.15.355,3.674 avprpro

pcpc zPTRTpsiaP

)738(738)/(100864.8

,328084

23/16

272

12

2 psiaPLd

TzEqPP

ftL

A

avavoldg

Page 18: Sales Gas Pipeline Part II

Single Phase Gas Flow Example 2: Solution

)( :cost Installed 5.15.1CAfBbaseBBBbaseB LLxdCCLdCC

)3.68(1.69691.0 kmkmLx Bf