Ejercicio aplicado método Pirson

8/16/2019 Ejercicio aplicado método Pirson

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Sw 0.2 Presion (PSI) Bo (BBL/STB) Rs

2000 1.237 ………………1500 1.241 87.41400 1.229 82.81300 1.217 78.41200 1.205 74.11100 1.192 69.71000 1.180 65.6900 1.168 60.8800 1.155 55.1700 1.143 50.5

600 1.131 45.6500 1.118 40.2400 1.106 34.9300 1.093 29200 1.077 22.4100 1.056 14.714.7 1.000 0

*C!"#!e $or e! %e&o'o o!#%e&ri"o ! "n&i'' 'e $e&ro!eo

*C!"#!e &%-ien e! $e&ro!eo #e se $ro'#"e "#n'o ! $resi*&i!i"e e! %e&o'o 'e Pirson $r $re'e"ir ! $ro'#""ion 'e $

#n $resion 'e 2000 PSI e! o!#%en en ,"i%ien&o

n ,"i%ien&o 'e $e&ro!eo "re"e 'e e%$#e i'ros&&i"o , 'e e%$#e $or +sse+re+"ion 'e !os #i'os $or +re''. #rn&e ! $ro'#""ion 'e! ,"i%ien&oen s# &o&!i'' $or #n e%$#e 'e +s en so!#"ion.Se s#%e #e eis&e #n sr"ion irre'#"i-!e 'e +# 'e or%"ion 'e 020"onsi+#ien&e no -r $ro'#""ion 'e +#.

! o!#%en 'e! ,"i%ien&o es 'e 37742 "res! $orosi'' 'e! ,"i%ien&o es 'e 24.!s $ro$ie''es 'e! #i'o 'e! ,"i%ien&o se en"#en&rn en ! si+#ien&e &-!.

:7758 ;


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#n $resion 'e 1500 PSI e! o!#%en en ,"i%ien&o

L $ro'#""ion $or en"i% 'e ! $resion 'e -#r-# seri ! 'i

:7758;37472;024;((1=02))/1241:45121500

:7758;37472;024;((1=02))/1237:44941000


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B+ (&3/s")

……………… 1.35 ………………….0.00741 1.21 0.0160.00811 1.23 0.01580.0089 1.25 0.0154

0.00981 1.27 0.0150.01089 1.3 0.01470.0122 1.33 0.0144

0.01388 1.37 0.01390.01595 1.43 0.01340.01865 1.51 0.013

0.0223 1.62 0.01250.0276 1.77 0.0120.0355 1.97 0.01150.0489 2.27 0.0110.076 2.7 0.0105

0.1708 3.37 0.011.065 4.4 0.0095

"on'i"iones s&n'r& #e eis&eori+in!%enre en e! ,

n 'e! ,"i%ien&o se re'#"e ! $resion 'e -#r-#.e&ro!eo "#%#!' s& #e e! ,"i%ien&o es&e ! $r

s

>o ("$) >+ ("$)

!i-re , &%-ien 'e s##"#en&e $er%e-i!i'' er&i"! $r "#sro se or% "$ 'e +s. Se es$er #e e! $e&ro!eo se $ro'#"ir

nior%e%en&e 'is&ri-#i' &res 'e! ,"i%ien&o $or


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s

eren"i en&re !os 'os !ores n&eriores. 180500 STB !


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i%ien&o.

sion 'e 147 PSI


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#e seri i+#! ! 04


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PS? PS?@

Pso 1 se 'ene e! +r#$o 'e in&er!os 'e $resiones so-re

Presion (PSI) Bo (BBL/STB) Rs B+ (&3/s")

1500 1.241 87.4 0.00741 1.21

1400 1.229 82.8 0.00811 1.23

Pso 2

EP 0.018

Pso 3 Se "!"#! ! $ro'#""ion "#%#!' $

P E$1500 01400 0.018

NP 0.018

Pso 4 Se 'e&er%in So

So

Pso 5 Se "!"#! S!

S! 0.97800355

Pso 6 Se 'e&er%in e! !or 'e ! re!"ion 'e $er%e-i!i'

Pso 7 Se "!"#! e! G?R ins&n&neo

>o ("$)

Se s#$one #n in"re%en&o 'e $ro'#""ion EP

$:H24 :1)(J K1) ( Δ

(1 )(1 )=/ − −

=+

:/ 0


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Pso 8 Se "!"#! G?R Ins. Pro%e'io

Pso 9 Se "!"#! M1 , M2

Pso 10 Se s#s&i,en !os !ores en ! si+#en&e e"#"ion

Pso 11

E$ 'ieren"i

S#$#es&o 0.018 0.0036 201er C!"#!'o 0.0216 0.00028 1.29629632'o C!"#!'o 0.02188 0.00001 0.045703843ro "!"#!'o 0.02189

Si e! E$ "!"#!'o no es i+#! ! s#$#es&o ini"i!%en&e

: ; )/ ; )(∗ (∗

N )/2(!+ "#

$ 1:(/−) K1)= )( (/− %

$ 2:(1 )/ K1)=(1 )( / %

E$: 1(1 )($ −2 ))/−$ (

( )KN)(/−


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T?? PIRS?

e! "#! se &r-r "on s#s "orres$on'ien&es '&os PDT

0.016 n

0.0158 n+1

0.7780035455

'es re!&is Fr+/Fro $or %e'io 'e "orre!"iones o &-!s

>+ ("$)


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Rs 82.8

G?R Ins Ri 82.8

P Ri1500 87.41400 82.8

N 85.1

M1 @11.3350762M2 @11.6482043

M1(1@$)@M2(Boi) 3.32437663153.841307

E$ 0.02160913

((Bo/B+)@Rs)KN

n se re$i&e e! $ro"eso 'es'e e! $so 3 s#$onien'o e! E$ "!"#!'o en e! $so 10


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In". Pro Pr."#E$ "!". Presion E $ $:HE$ 1@$ Bo/Boi

P- 1500 0 0 1 10.02189501 1400 0.02188 0.02188 0.97812 0.990330380.02653182 1300 0.02652 0.0484 0.9516 0.980660760.03286451 1200 0.03285 0.08125 0.91875 0.970991140.03683564 1100 0.03683 0.11808 0.88192 0.960515710.03013058 1000 0.0301 0.14818 0.85182 0.950846090.02457934 900 0.02458 0.17276 0.82724 0.941176470.01885193 800 0.01884 0.1916 0.8084 0.93070105

0.01265166 700 0.01265 0.20425 0.79575 0.921031430.01060711 600 0.01061 0.21486 0.78514 0.91136180.00930902 500 0.00931 0.22417 0.77583 0.900886380.00787157 400 0.00787 0.23204 0.76796 0.891216760.00784155 300 0.00784 0.23988 0.76012 0.880741340.00809819 200 0.00809 0.24797 0.75203 0.867848510.01009015 100 0.0101 0.25807 0.74193 0.850926670.02279403 14.7 0.02278 0.28085 0.71915 0.80580177

Gs !i-re : )/(∗)(∗


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MSo S! Fr+/Fro M*(Fr+/Fro) Rs

…………………. ……………… 12665.4015 0 0 87.40.77492956 0.97492956 11797.203 0 0 82.8

0.7465574214 0.94655742 11099.1537 0 0 78.40.7136784851 0.91367849 10399.932 0 0 74.10.6776784142 0.87767841 9679.97851 0.0029 28.0719377 69.70.6479597744 0.84795977 8933.2878 0.011 98.2661658 65.60.6228630588 0.82286306 8293.90666 0.025 207.347667 60.80.6019029815 0.80190298 7727.74061 0.046 355.476068 55.1

0.586328606 0.78632861 7118.70489 0.067 476.953227 50.50.5724372861 0.77243729 6572.98655 0.096 631.006709 45.60.5591477454 0.75914775 5974.81884 0.13 776.726449 40.20.5475350588 0.74753506 5336.97489 0.17 907.285732 34.90.5355752844 0.73557528 4612.58598 0.2 922.517197 290.5221184915 0.72211849 3643.98496 0.27 983.87594 22.40.5050624206 0.70506242 2083.55972 0.36 750.081499 14.70.4635938759 0.66359388 434.890042 0.84 365.307635 0

Bo>o/B+>+

00

200

400

600

800

1000

1200

1400

1600

Presion


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G?R Ins. 'eno%in'orR N (Bo/B+)@Rs NK((Bo/B+)@Rs)

87.4 ……………… 80.08 …………………. …………………….82.8 85.1 68.74 153.84 @11.3478.4 80.6 58.34 138.94 @10.4074.1 76.25 48.73 124.98 @9.61

97.7719377 85.9359688 39.76 125.69 @8.98163.866166 130.819052 31.12 161.94 @8.64268.147667 216.006916 23.35 239.36 @7.77410.576068 339.361867 17.31 356.68 @6.04

527.453227 469.014648 10.79 479.80 @6.53676.606709 602.029968 5.12 607.15 @5.67816.926449 746.766579 0.31 747.07 @4.81942.185732 879.556091 @3.75 875.81 @4.05951.517197 946.851464 @6.65 940.20 @2.901006.27594 978.896568 @8.23 970.67 @1.58764.781499 885.528719 @8.52 877.01 @0.29365.307635 565.044567 0.94 565.98 9.46

E((Bo/B+)@Rs)

0.05 0.1 0.15 0.2 0.25

$


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n#%er'orE(1/B+) Boi*E(1/B+) E$

…………………. ……………… ……………… ……………… …………………[email protected] @11.6482043 @14.4554215 3.36835672 0.02189501

@9.8963868693 @10.9450117 @13.5827595 3.68637266 [email protected] @10.4227514 @12.9346345 4.10753251 [email protected] @10.1094346 @12.5458084 4.63002564 0.03683564

@7.3570901835 @9.86015144 @12.2364479 4.87935775 [email protected] @9.9211036 @12.3120896 5.88323067 [email protected] @9.35018475 @11.6035793 6.7240261 0.01885193

@5.1938044143 @9.07662182 @11.2640877 6.07028326 [email protected] @8.77625362 @10.8913307 6.44007806 [email protected] @8.61116527 @10.6864561 6.95452573 [email protected] @8.06286997 @10.0060216 6.89400443 [email protected] @7.71911633 @9.57942337 7.37264957 [email protected] @7.29200301 @9.04937574 7.86065274 [email protected] @7.3030938 @9.06313941 8.84917952 0.01009015

6.800496237 @4.9158338 @6.10054975 12.901046 0.02279403

(1@$)E((Bo/B+)@Rs)

.3


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1/B+

………………….134.952767123.304562112.359551101.93679991.827364681.967213172.046109562.6959248

53.619302944.843049336.231884128.169014120.449897813.15789475.854800940.93896714


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0 200 400 600 800 1000 1200 14000

0.05

0.1

0.15

0.2

0.25

0.3

Presion

$


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1600

Ejercicio aplicado método Pirson

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