07-pet-03 water flooding perfoemance

Water Flooding Performance (2007-Pet-03)Given data Obtained data

Bo= e= 2.7183 From Graph 1Bw= 1.02 Ns 429818 a=

K= 35 PV= 443540.51647373 b=A= 23060 From Graph 2Ф= 0.18 Swf=SwBT= 0.5

iw= 700 Fw=FwBT= 0.7Distance b/w Wells L= 600 dfw/dSw)sw= 3.3

Uo= 10 Sw(Avg)= 0.61Uw= 0.9 QiBT= 0.3030303030303

Dip Angle α= 15 X= 0.14628994198Density 1 X= 0.146289942KKro

0.87 Sinα= 0.258819045Swi= 0.24Sor= 0.24

Step-1 XSw krw Kro Kro/Krw K=35 mD K=20 mD

0.3 0.01 0.89 89 4.5569316933 2.60396096760.4 0.04 0.74 18.5 3.7889094978 2.16509114160.5 0.09 0.45 5 2.3040665865 1.3166094780.6 0.17 0.19 1.117647058824 0.9728281143 0.5559017796

0.65 0.22 0.12 0.545454545455 0.6144177564 0.35109586080.7 0.28 0.06 0.214285714286 0.3072088782 0.1755479304

0.75 0.36 0.03 0.083333333333 0.1536044391 0.08777396520.78 0.41 0 0 0 0

pw=

po=

0.2 0.3 0.4 0.5 0.6 0.7 0.80.01

0.1

1

10

100

1000

10000

f(x) = 8774.94283990402 exp( − 15.1441039962403 x )

Sw vs Relative Permeability

Water saturation Sw

Kro/

Krw

0.2 0.3 0.4 0.5 0.6 0.7 0.8 0.90

0.10.20.30.40.50.60.70.80.9

1

00.10.20.30.40.50.60.70.80.91

Saturation and Permeability

Sw

Kro

Krw

IMRAN:Formation Volume factor

D3

IMRAN: Formation Volume factor

Step-2Calculate Displacement Effeciency By using equation 14.50

(SwBT-Swi)/1-Swi0.342105263

Step-3Calculate (Np) by applying Equation 14.52

147043 STBStep-4

Calculate Cummulative water Injection at the Breakthrough from Equ. 14.42

134406.2171 bblStep-5

Calculate the time to BreakthroughtBT=tBT= 192.0088816 days

Step-6Calculate WORs Exactly at the Breakthrough By applying Equ.14.28

WORs= BoFw /Bw(1-Fw)WORs= 0 STB/STB

Step-7Describe the recovery performance to breakthrough in the following in the Following Tabulated Form

t, days Winj = 700 t Np =Winj/Bo Qo=iw/Bo WORs0 0 0 0 0

50 125000 97656.25 #DIV/0! 0100 250000 195312.5 #DIV/0! 0150 375000 292968.75 #DIV/0! 0180 450000 351562.5 #DIV/0! 0

192.0089 480022.204 375017.3468562 #DIV/0! 0Step-8

Computational procedure as outlined for recovery Performance after the BreakThrough in the Following Tabulated Form

Qi=1/(dfw/dSw)sw2Sw2 Fw2 dfw/dSw)sw2 Qi Sw2(Avg)

0.52 0.736 3.622763368769 0.2760323814193 0.592872548694690.545 0.81 3.078324860682 0.3248520040144 0.60672188076274

EDBT=

EDBT=

(Np)BT= NsEDBT

(Np)BT=

WiBT= PV*QiBT

WiBT=

WiBT/iw

0.58 0.88 2.392452265744 0.4179811711683 0.630157740540190.6 0.91 2.072270207481 0.482562552118 0.64343062969062

For different parts please Clik Below on the sheet with there labeled chenges

8774-15.1

s

Fw

X Fw=[1-(Xsinα)/iw]/1+YK=100 mD K=35 mD K=20 mD K=100 mD K=35 mD K=35 mD

13.019804838 8.01 0.1108007895 0.11088093 0.1104535 0.11093543082 0.11117510.825455708 1.665 0.3747088491 0.37493414 0.3737326 0.37508733329 0.37576

6.58304739 0.45 0.689067649 0.68931944 0.687976534 0.68949066584 0.6902432.779508898 0.100588235294118 0.9082782034 0.90841827 0.907671251 0.90851351428 0.9089321.755479304 0.0490909090909091 0.9529896938 0.9530825 0.952587538 0.95314560648 0.9534230.877739652 0.0192857142857143 0.9809677484 0.98101551 0.980760791 0.98104798427 0.9811910.438869826 0.0075 0.9924994601 0.99252362 0.992394771 0.99254004734 0.992612

0 0 1 1 1 1 1

e(ii) Up Dip Case, iw=700 e(i) UpDip iw=2500

e(iii) DownDip

Y=Uw/Uo*Kro/Krw

0.2 0.3 0.4 0.5 0.6 0.7 0.80.01

0.1

1

10

100

1000

10000

f(x) = 8774.94283990402 exp( − 15.1441039962403 x )

Sw vs Relative Permeability

Water saturation Sw

Kro/

Krw

0 1000 2000 3000 4000 5000 6000 70000

0.10.20.30.40.50.60.70.80.9

1

Saturation Profile

X (ft)

Sw

Producing Well

0.2 0.3 0.4 0.5 0.6 0.7 0.8 0.90

0.10.20.30.40.50.60.70.80.9

1

012345678910

Sw vs. Fw and (dSw/dFw)sw

Sw

Fw

(dfw/dSw)Sw

x=((5.615)iw*t)/( A))(dfw/dsw )sw∅Qw=Qo*WORs Wp Sw Fw dfw/dSw)sw t=80

0 0 0.5 0.7 3.44 260.5940 0 0.52 0.736 2.7144482555 205.63050 0 0.545 0.81 2.16972577774 164.36560 0 0.58 0.88 1.48330417476 112.36630 0 0.6 0.91 1.1626299024 88.07395

#DIV/0! 0

Computational procedure as outlined for recovery Performance after the Break

Winj=PV*Qi t=Winj/iw Wp=(Winj-NpBo)/Bw WOR0.464305985125 199567.069914284 122431.54502 174.902207 120030.9265 00.482528790477 207399.559665369 144085.02564 205.835751 141259.8291 0

ED=(Sw2-Swi)/(1-Swi) Np=Ns*ED

0 50 100 150 200 250 300 3500

0.1

0.2

0.3

0.4

0.5

0.6

0.7

0.8

0.9

1

0

100000

200000

300000

400000

500000

600000

Performance Curve

T Vs Qot Vs Qwt Vs WORt Vs Np

Time (t) Days

Qo,Qw,

WOR

0 1000 2000 3000 4000 5000 6000 70000

0.10.20.30.40.50.60.70.80.9

1

Saturation Profile

X (ft)

Sw

Producing Well

0.513365448079 220653.710162505 185391.58454 264.845121 181756.4554 00.530829775909 228160.192621529 214036.0436 305.765777 209839.2584 0

(dfw/dsw)sw={-(Uw/Uo)abe^bSw}/[1/Fw]^2K=35 mD K=20 mD K=100 mD K=35 mD K=35 mD

1.59040799721444 1.59041686 1.59036958213539 1.590408 1.5904494.12739436565473 4.12747866 4.12702906905178 4.127394 4.1277883.45304597121089 3.45321933 3.45229475967255 3.453046 3.4538551.96793744465616 1.96806462 1.96738636116604 1.967937 1.9685311.49953534828676 1.49962377 1.49915218519519 1.499535 1.4999481.25678918387728 1.25683603 1.25658618823103 1.256789 1.2570081.12673930144763 1.12676328 1.12663540329446 1.126739 1.126851

1.0914737911633 1.09147379 1.0914737911633 1.091474 1.091474

(dfw/dsw)sw where Fw=1/[1+(Uw/Uo)abe^bSw]e(ii) Up Dip Case, iw=700 e(i) UpDip

iw=2500e(iii) DownDip

0 1000 2000 3000 4000 5000 6000 70000

0.10.20.30.40.50.60.70.80.9

1

Saturation Profile

X (ft)

Sw

Producing Well

0.2 0.3 0.4 0.5 0.6 0.7 0.8 0.90

0.10.20.30.40.50.60.70.80.9

1

012345678910

Sw vs. Fw and (dSw/dFw)sw

Sw

Fw

(dfw/dSw)Sw

x=((5.615)iw*t)/( A))(dfw/dsw )sw∅t=300 days t=700 days t=1850

977.227522405319 2280.19755 6026.23638816614771.114402155894 1799.26694 4755.20547996135616.370856417412 1438.19866 3800.95361457404421.373739441239 983.205392 2598.47139322097330.277307847913 770.647052 2036.71006506213

Qo=iw/(Bo+Bw(WOR)Bw Qw#DIV/0! #DIV/0!#DIV/0! #DIV/0!

0 50 100 150 200 250 300 3500

0.1

0.2

0.3

0.4

0.5

0.6

0.7

0.8

0.9

1

0

100000

200000

300000

400000

500000

600000

Performance Curve

T Vs Qot Vs Qwt Vs WORt Vs Np

Time (t) Days

Qo,

Qw,

WOR

0 1000 2000 3000 4000 5000 6000 70000

0.10.20.30.40.50.60.70.80.9

1

Saturation Profile

X (ft)

Sw

Producing Well

#DIV/0! #DIV/0!#DIV/0! #DIV/0!

X0.3 0.01 0.89 89 4.556931693 8.01 0.11080080.4 0.04 0.74 18.5 3.788909498 1.665 0.37470880.5 0.09 0.45 5 2.304066587 0.45 0.68906760.6 0.17 0.19 1.117647059 0.972828114 0.10058824 0.90827820.65 0.22 0.12 0.545454545 0.614417756 0.04909091 0.95298970.7 0.28 0.06 0.214285714 0.307208878 0.01928571 0.98096770.75 0.36 0.03 0.083333333 0.153604439 0.0075 0.99249950.78 0.41 0 0 0 0 1

x=((5.615)iw*t)/( A))(dfw/dsw )sw∅

t=80 t=300 days t=700 days t=18500.51 0.71 3.38 256.0488 960.1828563 2240.42666 5921.127610.56 0.82 1.858715759 140.8053 528.0198244 1232.04626 3256.122250.58 0.89 1.483304175 112.3663 421.3737394 983.205392 2598.471390.62 0.93 0.898521394 68.06665 255.2499521 595.583222 1574.04137

0.7 0.98 0.294096906 22.27904 83.54639259 194.941583 515.202754


(SwBT-Swi)/1-Swi0.355263158


152698.5 STBStep-4


131225.0049 bblStep-5



WORs= BoFw /Bw(1-Fw)WORs= 3.07234618 STB/STB

Step-7

Y=

Sw fW (dfw/dSw)Sw

EDBT=

EDBT=

(Np)BT= NsEDBT

(Np)BT=

WiBT= PV*QiBT

WiBT=

WiBT/iw

Describe the recovery performance to breakthrough in the following in the Following Tabulated Form

t, days Winj = 700 Np =Winj/Bo Qo=iw/Bo WORs Qw=Qo*WORsWp0 0 0 0 0 0 0

50 35000 27343.75 546.875 0 0 0100 70000 54687.5 546.875 0 0 0150 105000 82031.25 546.875 0 0 0180 126000 98437.5 546.875 0 0 0

187.4 131180 102484.375 546.875 3.07234618 1680.189317 0

Sw2 Fw2 dfw/dSw)sw2 Qi Sw2(Avg)0.56 0.82 1.858715759 0.538005876 0.63 0.513157895 220564.50.58 0.89 1.483304175 0.674170556 0.64 0.526315789 2262200.62 0.93 0.898521394 1.112939555 0.7 0.605263158 260153

0.7 0.98 0.294096906 3.400239787 0.73 0.644736842 277119.5

ED=(Sw2-Swi)/(1-Swi)Np=Ns*ED

(

1.5904084.12739443.4530461.96793741.49953531.25678921.126741.0914738

0.2 0.3 0.4 0.5 0.6 0.7 0.8 0.90

0.1

0.2

0.3

0.4

0.5

0.6

0.7

0.8

0.9

1

0

0.1

0.2

0.3

0.4

0.5

0.6

0.7

0.8

0.9

1

Saturation and Permeability

Sw

Kro

Krw

Winj=PV*Qi t=Winj/iw Wp=(Winj-NpBo)/Bw WOR Qo=iw/(B Qw238627.4041 340.8963 -42838.39 5.716776 98.4375 562.7451299021.9565 427.1742 9274.859 10.1533 60.15625 610.7843493633.7851 705.1911 157488.2 16.67227 38.28125 638.23531508144.111 2154.492 1130815 61.4902 10.9375 672.549

Step-1 XSw krw Kro Kro/Krw K=35 mD K=35 mD K=35 mD

0.3 0.01 0.89 89 4.556931693 8.01 0.110935 1.5904080.4 0.04 0.74 18.5 3.788909498 1.665 0.375087 4.1273940.5 0.09 0.45 5 2.304066587 0.45 0.689491 3.4530460.6 0.17 0.19 1.117647 0.972828114 0.100588235 0.908514 1.967937

0.65 0.22 0.12 0.545455 0.614417756 0.049090909 0.953146 1.4995350.7 0.28 0.06 0.214286 0.307208878 0.019285714 0.981048 1.256789

0.75 0.36 0.03 0.083333 0.153604439 0.0075 0.99254 1.1267390.78 0.41 0 0 0 0 1 1.091474


(SwBT-Swi)/1-Swi0.355263


152698.5 STBStep-4


128936.2 bblStep-5




Step-7Describe the recovery performance to breakthroin the following in the Following Tabulated Form

t, days Winj = 700 Np =Winj/ Qo=iw/Bo WORs Qw=Qo*WWp

0 0 0 0 0 0 050 125000 97656.25 546.875 0 0 0

100 250000 195312.5 546.875 0 0 0

e(i) UpDip iw=2500

e(i) UpDip iw=2500

Y=Uw/Uo*Kro/Krw

EDBT=

EDBT=

(Np)BT= NsEDBT

(Np)BT=

WiBT= PV*QiBT

WiBT=

WiBT/iw

150 375000 292968.8 546.875 0 0 0180 450000 351562.5 546.875 0 0 0

184.1946 460486.4 359755 546.875 3.07234618 1680.189 0

Sw2 Fw2 dfw/dSw)sw2Qi Sw2(Avg) Winj=PV*Q0.528 0.75 2.539566 0.393768 0.626442037 0.508476364 218552.3 174652.1

0.54 0.78 2.277326 0.439111 0.636604522 0.521848055 224299.7 194763.70.572 0.85 1.627287 0.61452 0.664177973 0.558128912 239893.9 272564.4

0.6 0.905 1.16263 0.860119 0.681711299 0.581199078 249809.8 381497.6

ED=(Sw2-Swi)/(1-Swi) Np=Ns*ED

x=((5.615)iw*t)/( A))(dfw/dsw )sw∅

t=80 t=300 dayst=700 dayst=18500.51 0.71 3.44 260.594 977.2275 2280.198 6026.236

0.528 0.75 2.539566 192.3824 721.4341 1683.346 4448.844

Sw fW (dfw/dSw)Sw

0.54 0.78 2.277326 172.5167 646.9377 1509.521 3989.4490.572 0.85 1.627287 123.2736 462.276 1078.644 2850.702

0.6 0.905 1.16263 88.07395 330.2773 770.6471 2036.71

t=Winj/iw Wp=(Winj-NpBo)/Bw WOR Qo=iw/(B Qw249.503 -103034 3.764706 136.7188 514.7059

278.2339 -90529.29 4.449198 120.3125 535.2941389.3778 -33823.23 7.111111 82.03125 583.3333544.9966 60530.41 11.95459 51.95313 621.0784

X FwSw krw Kro Kro/Krw K=20 mD K=100 mD K=20 mD

0.3 0.01 0.89 89 2.603961 13.0198 8.01 0.1108810.4 0.04 0.74 18.5 2.165091 10.82546 1.665 0.3749340.5 0.09 0.45 5 1.316609 6.583047 0.45 0.6893190.6 0.17 0.19 1.117647 0.555902 2.779509 0.100588235 0.908418

0.65 0.22 0.12 0.545455 0.351096 1.755479 0.049090909 0.9530830.7 0.28 0.06 0.214286 0.175548 0.87774 0.019285714 0.981016

0.75 0.36 0.03 0.083333 0.087774 0.43887 0.0075 0.9925240.78 0.41 0 0 0 0 0 1


(SwBT-Swi)/1-Swi0.342105


147043 STBStep-4


124941 bblStep-5

Y=Uw/Uo*Kro/Krw

EDBT=

EDBT=

(Np)BT= NsEDBT

(Np)BT=

WiBT= PV*QiBT

WiBT=




Step-7Describe the recovery performance to breakthrouin the following in the Following Tabulated Form

Sw2 Fw2 dfw/dSw)sw2Qi Sw2(Avg) Winj=PV*Q0.54 0.78 2.277326 0.439111 0.636605 0.521848 224299.6874 194763.70.56 0.82 1.858716 0.538006 0.656841 0.548475 235744.4602 238627.40.58 0.88 1.483304 0.674171 0.6609 0.553816 238040.2589 299022

0.6 0.9 1.16263 0.860119 0.686012 0.586858 252242.0267 381497.6

K=100mD x=((5.615)iw*t)/( A))(dfw/dsw )sw∅Sw Fw dfw/dSw)swt=80 t=300 dayst=700 dayst=1850

0.495 0.68 3.44 260.594 977.2275 2280.198 6026.2363880.53 0.75 2.495687 189.0584 708.9691 1654.261 4371.9760530.56 0.83 1.858716 140.8053 528.0198 1232.046 3256.122250.58 0.87 1.483304 112.3663 421.3737 983.2054 2598.471393

6.1 0.92 1.18E-36 8.97E-35 3.37E-34 7.85E-34 2.08E-33

Sw2 Fw2 dfw/dSw)sw2Qi Sw2(Avg) Winj=PV*Q0.53 0.75 2.495687 0.400691 0.630173 0.513385 220662.2456 177722.80.56 0.83 1.858716 0.538006 0.651461 0.541396 232701.7679 238627.40.58 0.87 1.483304 0.674171 0.667642 0.562687 241853.0305 299022

6.1 0.92 1.18E-36 8.44E+35 6.75E+34 8.89E+34 3.82E+40 3.74E+41

WiBT/iw



FwK=100 mD K=20 mD K=100 mD K=20 mD x=((5.615)iw*t)/( A))(dfw/dsw )sw∅

0.110454 1.590417 1.59037 t=80 t=300 dayst=700 days0.373733 4.127479 4.127029 0.5 0.7 3.44 260.594 977.2275 2280.1980.687977 3.453219 3.452295 0.54 0.78 2.277326 172.5167 646.9377 1509.5210.907671 1.968065 1.967386 0.56 0.82 1.858716 140.8053 528.0198 1232.0460.952588 1.499624 1.499152 0.58 0.88 1.483304 112.3663 421.3737 983.20540.980761 1.256836 1.256586 0.6 0.9 1.16263 88.07395 330.2773 770.64710.992395 1.126763 1.126635

1 1.091474 1.091474

Sw fW (dfw/dSw)Sw

t=Winj/iw Wp=(Winj-NpBo)/Bw WOR Qo=iw/(B Qw278.2339 -90529.29 4.449198 120.3125 535.2941340.8963 -61887.75 5.716776 98.4375 562.7451427.1742 -5558.407 9.202614 65.625 603.9216544.9966 57478.24 11.29412 54.6875 617.6471

t=Winj/iw Wp=(Winj-NpBo)/Bw WOR Qo=iw/(B Qw253.8898 -102671 3.764706 136.7188 514.7059340.8963 -58069.47 6.126874 92.96875 569.6078427.1742 -10343.06 8.39819 71.09375 597.05885.35E+38 3.19E+41 14.43137 43.75 631.3725

x=((5.615)iw*t)/( A))(dfw/dsw )sw∅

t=18506026.2363989.4493256.1222598.471

2036.71

Step-1 XSw krw Kro Kro/Krw K=35 mD K=35 mD K=35 mD

0.3 0.01 0.89 89 4.556932 0.111175 1.5904490.4 0.04 0.74 18.5 3.788909 0.37576 4.1277880.5 0.09 0.45 5 2.304067 0.690243 3.4538550.6 0.17 0.19 1.117647 0.972828 0.908932 1.968531

0.65 0.22 0.12 0.545455 0.614418 0.953423 1.4999480.7 0.28 0.06 0.214286 0.307209 0.981191 1.257008

0.75 0.36 0.03 0.083333 0.153604 0.992612 1.1268510.78 0.41 0 0 0 1 1.091474

Down dip case x=((5.615)iw*t)/( A))(dfw/dsw )sw∅Sw Fw dfw/dSw)swt=80 t=300 dayst=700 dayst=1850

0.5 0.7 3.44 260.594 977.2275 2280.198 6026.2360.52 0.736 2.714448 205.6305 771.1144 1799.267 4755.205

0.545 0.81 2.169726 164.3656 616.3709 1438.199 3800.9540.58 0.88 1.483304 112.3663 421.3737 983.2054 2598.471

0.6 0.91 1.16263 88.07395 330.2773 770.6471 2036.71

t, days Winj = 700 Np =Winj/ Qo=iw/Bo WORs Qw=Qo*WWp0 0 0 0 0 0 0

50 125000 97656.25 546.875 0 0 0100 250000 195312.5 546.875 0 0 0150 375000 292968.8 546.875 0 0 0180 450000 351562.5 546.875 0 0 0

192.0089 480022.2 375017.3 546.875 2.928 1601.307 0

Sw2 Fw2 dfw/dSw)sw2Qi Sw2(Avg) Winj=PV*Qt=Winj/iw0.52 0.736 2.714448 0.368399 0.617257 0.496391 213357.9 163399.9 233.4284

0.545 0.81 2.169726 0.460888 0.632569 0.516538 222017.2 204422.4 292.0320.58 0.88 1.483304 0.674171 0.6609 0.553816 238040.3 299022 427.1742

e(iii) (Fw) DownDip

e(iii) DownDip


0.6 0.91 1.16263 0.860119 0.677411 0.57554 247377.6 381497.6 544.9966

Wp=(Winj-NpBo)/Bw WOR Qo=iw/(B Qw-107547 3.498515 144.375 505.098

-78195.73 5.349845 103.9063 555.8824-5558.407 9.202614 65.625 603.9216

63582.59 12.68845 49.21875 624.5098

07-pet-03 water flooding perfoemance

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