Ipr Compuesto Sobre Pb. Lin Emily-reyes Danes

7/23/2019 Ipr Compuesto Sobre Pb. Lin Emily-reyes Danes

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IPR COMPUESTODATOS DEL PROBLEMA

Pr= 2550 psig

Pwf= 2300 psig

qt= 500bls/dia

Pb= 2100

psiqw= 375bls/dia

qo= 125bls/dia

fw= 0.75

fo= 0.25

Cal!lar "o

"o= # BPD/PSI

Cal!lar qb

qb= $%% bls/dia

Cal!lar pq&a'

pq&a'= ()%% bls/dia

Cal!lar q&a'

q&a'= *#**+**** bls/dia

Cal!lar q

E+ ),

q= #***+**** bls/dia

E+ )%a

q #*** **** bls/dia

)(max 0−= Ro p P J q

wf r

o

P P

q

J −

=

( )b Rob P P J q −=

−+=

81,

max

max

b p

b

qqqq

bc

cb

qqq

qqq

−=

+=

max

max

= bq

q



PROCEDIMIE-TO CO-OCIE-DO .T CALCULAR

)1Para %2qt2qb

#1Para qb2qt2qo&a'

*1 Para qo&a'2qt2qt&a'

J

qt Pwf −= Pr

J

qt Pwf

Pb J qb

JPbqbqo

donde

qbqoqbqt Pb Pwf

Pwfwater fw Pwf fo Pwf

water

oil

oil

−=

−=

+=

−−−+−=

+=

Pr

)(Pr

,max

:

max,

)()(

81

808111250

1

1

990808111250

0010

9990

9990808111250

9990

β

α

.)(,max.

maxPr

max.Pr

max

max.)(,

**

tan

tan

max.

−+−+

=

−=

−==

−=

−

−−+−=

+=

−=

=

=

=

q Pb fo

J

qo fwCD

Pwf Pwf CD

J

qo fw Pwf Pwf

J

qo Pwf

qbqo

qbqo Pb Pwf

Pwf fw Pwf fo Pwf

Pwf Pwf CD

CG

CD

CD

CG

qoqt

C D

C G

E

B

E B D

C D

−181

b

R

P ,



CD= ,+3(,,)33

C4= *+#******

ta5 6= )+,3%,*7(

ta5 8= %+97%%9$*

qt&a'= *3%$+*7)7

TABLA

qt :BPD1 Pwf :psi1

% #((%

)%% #(%%

#%% #,(%

*%% #,%%

,%% #*(%

(%% #*%%

9%% ##(%

3%% ##%%

7%% #)(%

$%% #)%%

$%% #)%%

)%%% #%(%

))%% )$$$

)#%% )$,$

)*%% )7$7

),%% )7,9

)(%% )3$(

)9%% )3,#

)3%% )9$%

)7%% )9*3

)$%% )(7*

#%%% )(#$

#)%% ),3,

##%% ),)7

#*%% )*9)

#,%% )*%,

#(%% )#,(

#9%% ))7(

#3%% ))#*

Pwf :

( ) ( )

( )

( )1

1

1

00109990

α

α

β

tanmax

Pr maxmax

tanmaxmax

tanmaxmax

Pr

:

max.max.max

−+=

+=

−−

−=

=−=

J

qo fwqoqt

o

Pwf qoqt

qoqt J

qo fw Pwf

Emtonces

qoqoqoCG

G



#7%% )%(7

#$%% $$)

*%%% $)$

*)%% 7*$

*#%% 3,*

*#**+** 3%%

*#**+** 3%%**%% 9%#

*,%% ,((

*(%% *%7

*9%% )9)

*3%$+*7 %

PROCEDIMIE-TO CO-OCIE-DO P0 CALCULAR

)1Para Pb2Pwf2Pr

"= # BPD/PSI

Pr= #((% PSI

#1Para Pwf42Pwf2Pb

*1Para %2Pwf2Pwf4

Pwf4= 3%% psi

qo&a'= *#** **** BPD

( ) Pwf J qt −= Pr

8180

802

1250

1250

1250

0

02

4

2

2

22

−−

−=

−+=

=

−+=

==

≠−+−

=

qbqo

qb A D

qbqo ABC

foPbJ

fw B

foPb

fw foPb Pwf A

B paraC

Dqt

B para B

D BC C qt

max

max

,

,

Pr ,

( )

β

β

tan

tanmax Pwf qo Pwf qt G −+

=



ta5 6= )+,3%,*7(

TABLA

qt :BPD1 Pwf :psi1

% #((%*%% #,%%

(%% #*%%

3%% ##%%

$%% #)%% A

$%% #)%% 3.85714286

)%$$ #%%% 2.33333333

)#$( )$%% 0.80952381

),7$ )7%% -0.71428571

)97) )3%% -2.23809524

)797 )9%% -3.76190476

#%(# )(%% -5.28571429

##*# ),%% -6.80952381

#,%9 )*%% -8.33333333

#(3( )#%% -9.85714286

#3*9 ))%% -11.3809524

#773 )%%% -12.9047619

*%#( $%% -14.4285714

*),, 7%% -15.952381

*#** 3%% -17.4761905

*#** 3%%

**%) 9%%

**9$ (%%

*,*3 ,%%

*(%( *%%

*(3* #%%

*9,) )%%

*3%$ %





0

max

max

−−qb

qbqo



si

0 500 1000 1500 2000 2500 3000 3500 40000

500

1000

1500

2000

2500

3000

IPR COMPUESTOCO-OCIDO .T CALCULAR P0

qt :BPD1

psi1



.T



B C D

0.00571429 0.07836735 -96.9795918

0.00571429 0.06095238 -106.412698

0.00571429 0.04353741 -111.201814

0.00571429 0.02612245 -111.346939

0.00571429 0.00870748 -106.848073

0.00571429 -0.00870748 -97.7052154

0.00571429 -0.02612245 -83.9183673

0.00571429 -0.04353741 -65.4875283

0.00571429 -0.06095238 -42.4126984

0.00571429 -0.07836735 -14.6938776

0.00571429 -0.09578231 17.6689342

0.00571429 -0.11319728 54.675737

0.00571429 -0.13061224 96.3265306

0.00571429 -0.14802721 142.621315

0.00571429 -0.16544218 193.560091

0 5000

500

1000

1500

2000

2500

3000

Pwf :psia1







IPR COMPUESTO





1000 1500 2000 2500 3000 3500 4000

IPR COMPUESTOCO-OCIDO P0 CALCULAR .T

IPR COM

qt :BPD1











UESTO



0 500 1000 1500

500

1000

1500

2000

2500

3000

Pwf :psia1



2000 2500 3000 3500

IPR COMPUESTO

qt :BPD1



4000

Conociendo Pw encon!"#" $!

Conociendo $! encon!"#" Pw

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Ipr Compuesto Sobre Pb. Lin Emily-reyes Danes