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= $%% bls/dia
Cal!lar pq&a'
pq&a'= ()%% bls/dia
Cal!lar q&a'
q&a'= *#**+**** bls/dia
Cal!lar q
E+ ),
q= #***+**** bls/dia
E+ )%a
q #*** **** bls/dia
)(max 0−= Ro p P J q
wf r
o
P P
q
J −
=
( )b Rob P P J q −=
−+=
81,
max
max
b p
b
qqqq
bc
cb
qqq
qqq
−=
+=
max
max
= bq
q
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PROCEDIMIE-TO CO-OCIE-DO .T CALCULAR
)1Para %2qt2qb
#1Para qb2qt2qo&a'
*1 Para qo&a'2qt2qt&a'
J
qt Pwf −= Pr
J
qt Pwf
Pb J qb
JPbqbqo
donde
qbqoqbqt Pb Pwf
Pwfwater fw Pwf fo Pwf
water
oil
oil
−=
−=
+=
−−−+−=
+=
Pr
)(Pr
,max
:
max,
)()(
81
808111250
1
1
990808111250
0010
9990
9990808111250
9990
β
α
.)(,max.
maxPr
max.Pr
max
max.)(,
**
tan
tan
max.
−+−+
=
−=
−==
−=
−
−−+−=
+=
−=
=
=
=
q Pb fo
J
qo fwCD
Pwf Pwf CD
J
qo fw Pwf Pwf
J
qo Pwf
qbqo
qbqo Pb Pwf
Pwf fw Pwf fo Pwf
Pwf Pwf CD
CG
CD
CD
CG
qoqt
C D
C G
E
B
E B D
C D
−181
b
R
P ,
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CD= ,+3(,,)33
C4= *+#******
ta5 6= )+,3%,*7(
ta5 8= %+97%%9$*
qt&a'= *3%$+*7)7
TABLA
qt :BPD1 Pwf :psi1
% #((%
)%% #(%%
#%% #,(%
*%% #,%%
,%% #*(%
(%% #*%%
9%% ##(%
3%% ##%%
7%% #)(%
$%% #)%%
$%% #)%%
)%%% #%(%
))%% )$$$
)#%% )$,$
)*%% )7$7
),%% )7,9
)(%% )3$(
)9%% )3,#
)3%% )9$%
)7%% )9*3
)$%% )(7*
#%%% )(#$
#)%% ),3,
##%% ),)7
#*%% )*9)
#,%% )*%,
#(%% )#,(
#9%% ))7(
#3%% ))#*
Pwf :
( ) ( )
( )
( )1
1
1
00109990
α
α
β
tanmax
Pr maxmax
tanmaxmax
tanmaxmax
Pr
:
max.max.max
−+=
+=
−−
−=
=−=
J
qo fwqoqt
o
Pwf qoqt
qoqt J
qo fw Pwf
Emtonces
qoqoqoCG
G
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#7%% )%(7
#$%% $$)
*%%% $)$
*)%% 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 −+
=
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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%$ %
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0
max
max
−−qb
qbqo
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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
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.T
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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
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IPR COMPUESTO
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1000 1500 2000 2500 3000 3500 4000
IPR COMPUESTOCO-OCIDO P0 CALCULAR .T
IPR COM
qt :BPD1
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UESTO
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0 500 1000 1500
500
1000
1500
2000
2500
3000
Pwf :psia1
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2000 2500 3000 3500
IPR COMPUESTO
qt :BPD1
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4000
Conociendo Pw encon!"#" $!
Conociendo $! encon!"#" Pw