OIL'S PHYSICAL PROPERTIES by John Jader Morales Rojas

2009

OIL’S PHYSICAL PROPERTIES

JOHN JADER MORALES ROJAS, 2006263076 UNIVERSIDAD SURCOLOMBIANA 01/12/2009

CONTENTS

SOLVING A SPECIFIC PROBLEM ................................................................... 4 1.1 DATA FROM PVT ...................................................................................... 4 1.1.1 Gasinsolution-Petroleum Relationship Rs; Oil Volumetric Factor Bo; Total Volumetric Factor Bt; Gas Viscosity µg by mean Carr-KobayashiBurrows. .............................................................................................................. 4 1.1.2 Function Y. ............................................................................................. 4 1.1.3 Oil Compression Factor Co. .................................................................. 4 1.1.4 Oil Density ρo and Oil Viscosity µo. ...................................................... 5 1.2 DATA FROM CORRELATIONS ................................................................. 5 1.2.1 Saturation pressures Ps. ...................................................................... 5 1.2.2 Gasinsolution-Petroleum Relationship Rs. ......................................... 6 1.2.3 Oil Volumetric Factor Bo....................................................................... 6 1.2.4 Total Volumetric Factor Bt. ................................................................... 6 1.2.5 Oil Compression Factor Co. .................................................................. 7 1.2.6 Oil Viscosity µo. ..................................................................................... 7 1.2.7 Oil Density ρo. ........................................................................................ 8 1.3 RESULTS ................................................................................................... 8 1.4 STATISTICAL COMPARISONS ................................................................ 8 ATTACHMENTS .................................................................................................... 15

TABLES

Table 1. Statistical comparisons for saturation pressures Ps. ................................ 10 Table 2. Statistical comparisons for Gasinsolution-Petroleum Relationship Rs. .... 11 Table 3. Statistical comparisons for Oil Volumetric Factor Bo. .............................. 11 Table 4. Statistical comparisons for Total Volumetric Factor Bt. ........................... 12 Table 5. Statistical comparisons for Oil Compression Factor Co. .......................... 12 Table 6. Statistical comparisons for Oil Viscosity Âľo. ............................................. 13 Table 7. Statistical comparisons for Oil Density Ď o. ............................................... 14

SOLVING A SPECIFIC PROBLEM

This is an example of use of some Matlab functions designed by the author JOHN MR or Per7 to calculate oil’s physical properties in the categories PVT and Correlations and some statistical comparisons between these generated data types are done also. I hope this work will be very useful for people related to Petroleum Engineering. 1.1

DATA FROM PVT

1.1.1 Gasinsolution-Petroleum Relationship Rs; Oil Volumetric Factor Bo; Total Volumetric Factor Bt; Gas Viscosity µg by mean Carr-KobayashiBurrows.  Functions: [Rs,Bo,Bt]=RsandBoandBt_PVT(Rsfb,Rsdb,Rsd,Bod,Bofb,Bodb,Vr,P,T,Pb,lg,Bgd);  Parameters: Rsfb=112.7; Rsdb=214.63; Rsd=[ 0 123.9700 132.1400 149.8500 162.9800 192.5400 214.6300]; Bod=[1.0626 1.1093 1.1226 1.1326 1.1491 1.1618 1.1853]; Bofb=1.0474; Bodb=1.1853; Vr=[0.99151 0.99113 0.98999 0.98165 0.97473 0.96765 0.96366]; P=[0 56 100 216 378 600 760 850 950 1100 2100 3100 4100 4675]+14.7; Pb=774.7; T=260; lg=[1.6802 0.6630 1.0921 0.9236 0.8608 0.7623]; Bgd=[1.5304 0.8611 0.2572 0.1250 0.0556 0.0340]; 1.1.2 Function Y.  Functions: [Y,YC]=Y_PVT(SVr,SP,Pb,T);  Parameters: SVr=[1.21500 1.07300 1.06077 1.03000 1.01550 1.00341]; SP=[510 636 652 699 726 752]+14.7; Pb=774.7; T=260; 1.1.3 Oil Compression Factor Co. 4

 Functions: [Co,CoPb]=Co_PVT(Vr,P,T,Pb);  Parameters: Vr=[ 1.21500 1.07300 1.06077 1.03000 1.01550 1.00341 1.00000 0.99151 0.99113 0.98999 0.98165 0.97473 0.96765 0.96366]; P=[510 636 652 699 726 752 760 850 950 1100 2100 3100 4100 4675]+14.7; T=260; Pb=774.7; 1.1.4 Oil Density ρo and Oil Viscosity µo.  Functions: [rho,uo]=rhooanduo_PVT(P,rho,uo,T);  Parameters: P=[0 56 100 216 378 600 760 850 950 1100 2100 3100 4100 4675]+14.7; rho=[0.89000 0.88000 0.87060 0.86660 0.85650 0.85190 0.83810 0.84523 0.84556 0.84654 0.85373 0.85979 0.86608 0.86967]; uo=[5.099 3.832 3.796 3.628 3.395 3.193 2.650 2.716 2.710 2.753 3.044 3.372 3.827 4.158]; T=260; 1.2

DATA FROM CORRELATIONS

1.2.1 Saturation pressures Ps.  Functions: [Ps,PsC]=bubblepoint(Rs,lAPI,lg,T,Tsep,Psep,yN2,yCO2,yH2S);  Parameters: NOTE THAT: a) Rs comes from results of Section 1.1.1., where all negatives values for Rs are deleted. Rs=[ 32.5876 39.8070 55.4566 67.0591 93.1800 112.7000]; lAPI=22.0; lg=0.8787; T=260; Tsep=185; Psep=30+14.7; yN2=1.88/100; yCO2=1.60/100; 5

yH2S=0.0; 1.2.2 Gasinsolution-Petroleum Relationship Rs.  Functions: Rs=Pet_Rs(lAPI,lg,T,Tsep,Psep,Ps,Pb);  Parameters: lAPI=22.0; lg=0.8787; T=260; Tsep=185; Psep=30+14.7; Ps=[0 56 100 216 378 600 760 850 950 1100 2100 3100 4100 4675]+14.7; Pb=774.7; 1.2.3 Oil Volumetric Factor Bo.  Functions: valBo=Bo_Pet(Co,P,Pb,Rs,Rsb,T,lAPI,lg,Tsep,Psep);  Parameters: NOTE THAT: a) Co comes from results for section 1.1.3., specifically CoPb. Co=1.0e-004 *[ 0.9474 0.4689 0.2959 0.1382 0.1094 0.0985 P=[56 100 216 378 600 760 850 950 1100 2100 3100 4100 4675]+14.7; Pb=774.7; Rs=[ 32.5876 39.8070 55.4566 67.0591 93.1800 112.7000]; Rsb=112.7; T=260; lAPI=22.0; lg=0.8787; Tsep=185; Psep=30+14.7; 1.2.4 Total Volumetric Factor Bt. 

Functions:

valBt=Bt_Pet(Co,P,Pb,Rs,Rsb,T,lAPI,lg,Tsep,Psep,CN2,CCO2,CH2S);  Parameters: NOTE THAT: 6

0.0946];

b) Co comes from results for section 1.1.3., specifically CoPb. Co=1.0e-004 *[ 0.9474 0.4689 0.2959 0.1382 0.1094 0.0985 0.0946]; P=[56 100 216 378 600 760 850 950 1100 2100 3100 4100 4675]+14.7; Pb=774.7; Rs=[ 32.5876 39.8070 55.4566 67.0591 93.1800 112.7000]; Rsb=112.7; T=260; lAPI=22.0; lg=0.8787; Tsep=185; Psep=30+14.7; CN2=1.88/100; CCO2=1.60/100; CH2S=0.0; 1.2.5 Oil Compression Factor Co. 

Functions:

[valCo2,valCo]=compresibilityCo(Rsb,lAPI,lg,T,P,Tsep,Psep,Pb); 

Parameters:

Rsb=112.7; lAPI=22.0; lg=0.8787; T=260; P=[510 636 652 699 726 752 760 850 950 1100 2100 3100 4100 4675]+14.7; Tsep=185; Psep=30+14.7; Pb=774.7; 1.2.6 Oil Viscosity µo. 

Functions:

[valuo,valuoup]=uo_Pet(lAPI,T,Rs,P,Pb,Rsb);  Parameters: lAPI=22.0; T=260; Rs=[ 32.5876 39.8070 55.4566 67.0591 93.1800 112.7000]; P=[56 100 216 378 600 760 850 950 1100 2100 3100 4100 4675]+14.7; 7

Pb=774.7; Rsb=112.7; 1.2.7 Oil Density ρo. 

Functions:

valpo=rhooil(Co,P,Pb,Rs,Rsb,T,lAPI,lg,Tsep,Psep);  Parameters: NOTE THAT: c) Co comes from results for section 1.1.3., specifically CoPb. Co=1.0e-004 *[ 0.9474 0.4689 0.2959 0.1382 0.1094 0.0985 0.0946]; P=[56 100 216 378 600 760 850 950 1100 2100 3100 4100 4675]+14.7; Pb=774.7; Rs=[ 32.5876 39.8070 55.4566 67.0591 93.1800 112.7000]; Rsb=112.7; T=260; lAPI=22.0; lg=0.8787; Tsep=185; Psep=30+14.7; 1.3

RESULTS

In the pursuit of a sufficient understanding, the set of results generated by Matlab functions for each subsection 1.1 and 1.2 is divided into different attachments which are showed in the last pages. 1.4

STATISTICAL COMPARISONS

For comparing goodness among the used correlations will be used the following basic formula: Average Relative Error=E=sum(abs((P-Pc)./P))*100/size(P,2); Where: P is the vector containing PVT values of a property. Pc is the vector containing calculated values of a property. size(P,2) gives the number of columns of P. Therefore, the correlation with the least E is the best available correlation to calculate the respective property within the current context. 8

See the following example of calculation of error for saturation pressure. ď&#x192;&#x2DC;

Saturation pressures Ps.

P=[56 100 216 378 600 760]+14.7;

%Data from PVT.

%Ps and PsC are data from correlations results. See section 1.2.1. Ps= [308.8052 369.2044 494.2345 582.9962 774.0256 910.7456 467.0340 507.3193 595.9418 662.5650 814.4565 928.8832 303.1347 363.9964 492.8952 586.3957 792.1659 942.6288 233.5209 298.3686 440.9603 546.8172 781.9328 953.2983 395.8985 456.8036 579.0244 663.2761 839.1788 961.4377 251.5206 307.1560 427.7117 517.0591 718.1334 868.3418 368.6756 429.3797 552.7408 638.8004 820.7019 948.6430 223.3620 258.1869 328.2407 376.6427 477.9369 548.5013 -425.6786 -307.4359 -78.7995 73.3336 379.6507 585.1875]; PsC= [314.5685 376.0950 503.4585 593.8767 788.4713 927.7430 475.7503 516.7875 607.0639 674.9306 829.6569 946.2190 308.7921 370.7898 502.0942 597.3396 806.9502 960.2212 237.8792 303.9371 449.1900 557.0225 796.5261 971.0898 403.2872 465.3290 589.8308 675.6549 854.8405 979.3812 256.2148 312.8885 435.6942 526.7090 731.5360 884.5478 375.5562 437.3932 563.0567 650.7224 836.0188 966.3476 227.5307 263.0055 334.3667 383.6720 486.8567 558.7381 -433.6231 -313.1736 -80.2702 74.7023 386.7362 596.1089]; for i=1:size(Ps,1) E(i,1)=sum(abs((Ps(i,:)-P)./P))*100/size(P,2); E(i,2)=sum(abs((PsC(i,:)-P)./P))*100/size(P,2); end %---------------------------------------------------------The output data is the following: E=[127.4735 131.7188 197.0541 202.5981 126.6052 130.8344 95.1788 98.8215 173.1232 178.2206 94.9213 98.5591 159.0070 163.8409 73.1405 74.5056 224.7182 227.0459]; NOTE THAT: The following E calculations in other properties are analogically done respect to procedure above. 9

Saturation pressures Ps. CORRELATION

E (%)

STANDING LASATER VÁZQUEZ-BEGGS GLASO AL-MARHOUN KARTOADMODJO-SCHMIDT TOTAL DOCKLA-OSMAN PETROSKY-FARSHAD

127.4735 197.0541 126.6052 95.1788 173.1232 94.9213 159.0070 73.1405 224.7182

STANDING (CORRECTED) LASATER (CORRECTED) VÁZQUEZ-BEGGS (CORRECTED) GLASO (CORRECTED) AL-MARHOUN (CORRECTED) KARTOADMODJO-SCHMIDT (CORRECTED) TOTAL (CORRECTED) DOCKLA-OSMAN (CORRECTED) PETROSKY-FARSHAD (CORRECTED)

131.7188 202.5981 130.8344 98.8215 178.2206 98.5591 163.8409 74.5056 227.0459

The best correlation: DOCKLA-OSMAN. Table 1. Statistical comparisons for saturation pressures Ps.

Gasinsolution-Petroleum Relationship Rs (Until Rsb). CORRELATION

E (%)

STANDING LASATER VÁZQUEZ-BEGGS GLASO AL-MARHOUN KARTOADMODJO-SCHMIDT TOTAL DOCKLA-OSMAN PETROSKY-FARSHAD

55.2476 101.1084 55.4806 46.1840 66.0937 47.5034 44.5027 56.4402 69.8954

The best correlation:TOTAL. Table 2. Statistical comparisons for Gasinsolution-Petroleum Relationship Rs.

Oil Volumetric Factor Bo. CORRELATION

E (%)

STANDING VÁZQUEZ-BEGGS GLASO AL-MARHOUN KARTOADMODJO-SCHMIDT TOTAL DOCKLA-OSMAN PETROSKY-FARSHAD APARENT DENSITY

10.8636 9.7913 7.2109 14.1603 13.3285 3.3276 18.6411 7.7633 8.0701

The best correlation:TOTAL. Table 3. Statistical comparisons for Oil Volumetric Factor Bo.

Total Volumetric Factor Bt (Until Pb). CORRELATION

E (%)

STANDING VÁZQUEZ-BEGGS GLASO AL-MARHOUN KARTOADMODJO-SCHMIDT TOTAL DOCKLA-OSMAN PETROSKY-FARSHAD GLASO1 AL-MARHOUN1 The best correlation:TOTAL.

6.9878 6.3974 4.7573 8.9970 8.4874 2.2916 11.7649 4.9558 20.6495 14.8684

Table 4. Statistical comparisons for Total Volumetric Factor Bt.

Oil Compression Factor Co. CORRELATION

E (%)

OBSERVATIONS

VÁZQUEZ-BEGGS KARTOADMODJO-SCHMIDT PETROSKY-FARSHAD

237.6193 97.1326 45.6137

For P>Pb

The best correlation: PETROSKY-FARSHAD. MACCAIN-ROLLINS-VILLENA

67.6890

For P<=Pb

The best correlation: MACCAIN-ROLLINS-VILLENA. Table 5. Statistical comparisons for Oil Compression Factor Co.

Oil Viscosity µo. CORRELATION

E (%)

OBSERVATIONS

BEGGS-ROB & BEAL CHEW-CONALLY & BEAL KART-SCH & BEAL BEGGS-ROB & VAZ-BEGGS CHEW-CONALLY & VAZ-BEGGS KART-SCH & VAZ-BEGGS BEGGS-ROB & KART-SCH CHEW-CONALLY & KART-SCH KART-SCH & KART-SCH

41.8306 21.0182 22.9669 30.2714 10.3499 45.5371 43.0112 22.0514 22.5036

For P>Pb

The best correlation: CHEW-CONALLY & VAZ-BEGGS. BEAL & BEGGS-ROB BEGGS-ROB & BEGGS-ROB GLASO & BEGGS-ROB KART-SCH & BEGGS-ROB BEAL & CHEW-CONALLY BEGGS-ROB & CHEW-CONALLY GLASO & CHEW-CONALLY KART-SCH & CHEW-CONALLY BEAL & KART-SCH BEGGS-ROB & KART-SCH GLASO & KART-SCH KART-SCH & KART-SCH

36.8288 39.6893 4.7789 3.9709 24.1605 27.7102 17.1320 22.9265 26.4400 29.8610 13.0232 18.5207

The best correlation: KART-SCH & BEGGS-ROB. Table 6. Statistical comparisons for Oil Viscosity µo.

For P<=Pb

Oil Density ρo. CORRELATION

E (%)

STANDING VÁZQUEZ-BEGGS GLASO AL-MARHOUN KARTOADMODJO-SCHMIDT TOTAL DOCKLA-OSMAN PETROSKY-FARSHAD APARENT DENSITY The best correlation: PETROSKY-FARSHAD.

3.1158 2.1635 1.0203 5.9155 5.2249 3.9430 9.4662 0.3386 0.9042

Table 7. Statistical comparisons for Oil Density ρo.

ATTACHMENTS

ATTACHMENT 1. Data from PVT. Gasinsolution-Petroleum Relationship Rs; Oil Volumetric Factor Bo; Total Volumetric Factor Bt; Gas Viscosity Âľ g by mean Carr-Kobayashi-Burrows.

Rs vs P at TR= 260ยบF 120 Procedure by Amyx and Dake 100

Rs (PCS/BS)

-20

-40

-60

-80

100

200

300

400 P (psia)

500

600

700

800

Bo and Bt vs P at TR= 260ยบF 50 Bo Bt 45

Bo (BR/BS), Bt (BR/BS)

500

1000

1500

2000

2500 P (psia)

3000

3500

4000

4500

5000

>> Rsfb=112.7; Rsdb=214.63; Rsd=[ 0 123.9700 132.1400 149.8500 162.9800 192.5400 214.6300]; Bod=[1.0626 1.1093 1.1226 1.1326 1.1491 1.1618 1.1853]; Bofb=1.0474; Bodb=1.1853; Vr=[0.99151 0.99113 0.98999 0.98165 0.97473 0.96765 0.96366]; P=[0 56 100 216 378 600 760 850 950 1100 2100 3100 4100 4675]+14.7; Pb=774.7; T=260; lg=[1.6802 0.6630 1.0921 0.9236 0.8608 0.7623]; Bgd=[1.5304 0.8611 0.2572 0.1250 0.0556 0.0340]; >> [Rs,Bo,Bt]=RsandBoandBt_PVT(Rsfb,Rsdb,Rsd,Bod,Bofb,Bodb,Vr,P,T,Pb,lg,Bgd); INPUTDATA: ----------------PROPERTY PROPERTY VALUE ----------------Rsfb(PCS/BS) 112.7 Rsdb(PCS/BS) 214.63 Bofb(BR/BS) 1.0474 Bodb(BR/BS) 1.1853 Pb(psia) 774.7 T(ยบF) 260 --------------------------------------------------------P(psia) Rsd(PCS/BS) Rs(PCS/BS) Bod(BR/BS) Bo(BR/BS) SGaccumgas Z --------------------------------------------------------14.7 0 -76.95955 1.0626 0.93898 1.6802 0.99272 70.7 123.97 32.58755 1.1093 0.98024 0.663 0.99536 114.7 132.14 39.80704 1.1226 0.99199 1.0921 0.97902 230.7 149.85 55.45663 1.1326 1.0008 0.9236 0.97067 392.7 162.98 67.05906 1.1491 1.0154 0.8608 0.95756 614.7 192.54 93.17999 1.1618 1.0266 0.7623 0.95026 774.7 214.63 112.7 1.1853 1.0474 ----------------------------------------------------P(psia) Calcug (cP) CalcBg(BR/PCS) CalcBg(PCR/PCS) Bgd(PCR/PCS) CalcEg(PCS/PCR) ------------------------------------------------14.7 0.0075161 0.24506 1.3759 1.5304 0.726792 70.7 0.012771 0.051089 0.28684 0.8611 3.48623 114.7 0.010322 0.030974 0.1739 0.2572 5.75027 230.7 0.011568 0.015268 0.085725 0.125 11.6652 392.7 0.012354 0.0088484 0.04968 0.0556 20.1287 614.7 0.013298 0.0056097 0.031496 0.034 31.7498 774.7 ----------------------------------P(psia) Egd(PCS/PCR) Bt(BR/BS) ------------------------14.7 0.653424 47.4168 70.7 1.16131 5.07308 114.7 3.88802 3.24976 230.7 8 1.87483 392.7 17.9856 1.41926 614.7 29.4118 1.13614 774.7 --1.0474 ----------------- --------P(psia) Vr Bo(BR/BS) ----------------- --------864.7 0.99151 1.0385 964.7 0.99113 1.0381 1114.7 0.98999 1.0369

2114.7 0.98165 1.0282 3114.7 0.97473 1.0209 4114.7 0.96765 1.0135 4689.7 0.96366 1.0093 PRESS ANYKEY TO CONTINUE >>

ATTACHMENT 2. Data from PVT. Function Y.

Y vs P at TR= 260ยบF 3.2 Data from PVT Y=0.0034761P + 0.43374. R2= 0.99472

3.1

2.9

2.8

2.7

2.6

2.5

2.4

2.3

2.2 500

550

600

650 P (psia)

700

750

800

>> SVr=[1.21500 1.07300 1.06077 1.03000 1.01550 1.00341]; SP=[510 636 652 699 726 752]+14.7; Pb=774.7; T=260; >> [Y,YC]=Y_PVT(SVr,SP,Pb,T); ----------------- ----------------P(psia) Vr Y Y(Corrected) ----------------- ----------------524.7 1.215 2.28 2.2577 650.7 1.073 2.6708 2.6957 666.7 1.0608 2.7258 2.7513 713.7 1.03 2.9089 2.9146 740.7 1.0155 3.0214 3.0085 766.7 1.0034 3.1197 3.0989 >>

ATTACHMENT 3. Data from PVT. Oil Compression Factor Co.

1.2

x 10

-3

Co vs P at TR= 260ยบF Co from PVT data. Function Y may be had account.

Co (1/psi)

0.8

0.6

0.4

0.2

0 500

1000

1500

2000

2500 P (psia)

3000

3500

4000

4500

>> Vr=[ 1.21500 1.07300 1.06077 1.03000 1.01550 1.00341 0.99113 0.98999 0.98165 0.97473 0.96765 0.96366]; P=[510 636 652 699 726 752 760 850 950 1100 2100 3100 4100 4675]+14.7; T=260; Pb=774.7; >> [Co,CoPb]=Co_PVT(Vr,P,T,Pb); --------------------------------P(psia) Vr(Correction free) Vr(Corrected by Y) Co(1/psi) --------------------------------524.7 1.215 1.2171 0.0010052 650.7 1.073 1.0723 0.00071047 666.7 1.0608 1.0602 0.00061622 713.7 1.03 1.0299 0.00052055 740.7 1.0155 1.0156 0.00046229 766.7 1.0034 1.0034 0.00042838 774.7 1 1 9.4736e-005 864.7 0.99151 0.99151 3.8333e-006 964.7 0.99113 0.99113 7.6724e-006 1114.7 0.98999 0.98999 8.46e-006 2114.7 0.98165 0.98165 7.0743e-006 3114.7 0.97473 0.97473 7.2901e-006 4114.7 0.96765 0.96765 7.1859e-006 4689.7 0.96366 0.96366 ------------------P(psia) Co(1/psi)(Since Pb) ----------------774.7 9.4736e-005 864.7 4.6892e-005 964.7 2.959e-005 1114.7 1.3821e-005 2114.7 1.0938e-005 3114.7 9.8458e-006 4114.7 9.4551e-006 4689.7 -->>

1.00000

0.99151

ATTACHMENT 4. Data from PVT. Oil Density ρo and Oil Viscosity µo.

Density vs P at TR= 260ยบF

Viscosity vs P at TR= 260ยบF

7.45

5.5 rho from PVT data

uo from PVT data

7.4 5 7.35

7.3

7.25 uo (cP)

Density (lb/gal)

4.5

7.2

7.15 3.5 7.1

7.05 3 7

6.95

1000

2000 3000 P (psia)

4000

5000

2.5

1000

2000 3000 P (psia)

4000

5000

>> P=[0 56 100 216 378 600 760 850 950 1100 2100 3100 4100 4675]+14.7; rho=[0.89000 0.88000 0.87060 0.86660 0.85650 0.85190 0.83810 0.84523 0.84556 0.84654 0.85373 0.85979 0.86608 0.86967]; uo=[5.099 3.832 3.796 3.628 3.395 3.193 2.650 2.716 2.710 2.753 3.044 3.372 3.827 4.158]; T=260; >> [rho,uo]=rhooanduo_PVT(P,rho,uo,T); --------------------------------P(psia) Oil Density (gr/cm^3) Oil Density (lb/gal) Viscosity (cP) --------------------------------14.7 0.89 7.4274 5.099 70.7 0.88 7.344 3.832 114.7 0.8706 7.2655 3.796 230.7 0.8666 7.2321 3.628 392.7 0.8565 7.1478 3.395 614.7 0.8519 7.1094 3.193 774.7 0.8381 6.9943 2.65 864.7 0.84523 7.0538 2.716 964.7 0.84556 7.0565 2.71 1114.7 0.84654 7.0647 2.753 2114.7 0.85373 7.1247 3.044 3114.7 0.85979 7.1753 3.372 4114.7 0.86608 7.2278 3.827 4689.7 0.86967 7.2577 4.158 >>

ATTACHMENT 5. Saturation pressures Rs.

Saturation Pressure vs Gasinsolution-Petroleum Relationship at TR= 260ยบF 1000

500

Ps (psia)

Standing Lasater Vรกzquez-Beggs Glaso Al-Marhoun Kartoadmodjo-Schmidt TOTAL Dockla-Osman Petrosky-Farshad

-500 30

70 80 Rs (PCS/BS)

100

110

120

Saturation Pressure vs Gasinsolution-Petroleum Relationship at TR= 260ยบF 1000

PsC (psia)

500

Standing Lasater Vรกzquez-Beggs Glaso Al-Marhoun Kartoadmodjo-Schmidt TOTAL Dockla-Osman Petrosky-Farshad

-500 30

70 80 Rs (PCS/BS)

100

110

120

>> Rs=[ 32.5876 39.8070 55.4566 67.0591 93.1800 112.7000]; lAPI=22.0; lg=0.8787; T=260; Tsep=185; Psep=30+14.7; yN2=1.88/100; yCO2=1.60/100; yH2S=0.0; >> [Ps,PsC]=bubblepoint(Rs,lAPI,lg,T,Tsep,Psep,yN2,yCO2,yH2S); INPUTDATA: PROPERTY PROPERTY VALUE lAPI(ºAPI) 22 lg 0.8787 T(ºF) 260 Tsep(ºF) 185 Psep(psia) 44.7 yN2 0.0188 yCO2 0.016 yH2S 0 OUTPUTDATA´S SUMMARY: Correlation CN2 CCO2 CH2S Correction by Glaso 1.0207 0.99803 1 Corr´s Ps(psia)/Rs(PCS/BS) Standing Lasater Vázquez-BeggsGlaso 32.5876 308.8052 467.034 303.1347 233.5209 39.807 369.2044 507.3193 363.9964 298.3686 55.4566 494.2345 595.9418 492.8952 440.9603 67.0591 582.9962 662.565 586.3957 546.8172 93.18 774.0256 814.4565 792.1659 781.9328 112.7 910.7456 928.8832 942.6288 953.2983 Corr`s Ps(psia)/Rs(PCS/BS) Al-Marhoun Kartoad-SchmidtTOTAL Dokla-Osman Petr-Farshad 32.5876 395.8985 251.5206 368.6756 223.362 -425.6786 39.807 456.8036 307.156 429.3797 258.1869 -307.4359 55.4566 579.0244 427.7117 552.7408 328.2407 -78.79953 67.0591 663.2761 517.0591 638.8004 376.6427 73.33362 93.18 839.1788 718.1334 820.7019 477.9369 379.6507 112.7 961.4377 868.3418 948.643 548.5013 585.1875 PRESS ANYKEY TO CONTINUE Corr`s PsC(psia)/Rs(PCS/BS) Standing Lasater Vázquez-Beggs Glaso 32.5876 314.5685 475.7503 308.7921 237.8792 39.807 376.095 516.7875 370.7898 303.9371 55.4566 503.4585 607.0639 502.0942 449.19 67.0591 593.8767 674.9306 597.3396 557.0225 93.18 788.4713 829.6569 806.9502 796.5261 112.7 927.743 946.219 960.2212 971.0898 Corr`s PsC(psia)/Rs(PCS/BS) Al-Marhoun Kartoad-Schmidt TOTAL Dokla-Osman Petr-Farshad 32.5876 403.2872 256.2148 375.5562 227.5307 -433.6231 39.807 465.329 312.8885 437.3932 263.0055 -313.1736 55.4566 589.8308 435.6942 563.0567 334.3667 -80.27018 67.0591 675.6549 526.709 650.7224 383.672 74.70226 93.18 854.8405 731.536 836.0188 486.8567 386.7362 112.7 979.3812 884.5478 966.3476 558.7381 596.1089 >>

ATTACHMENT 6. Gasinsolution-Petroleum Relationship Rs.

Gasinsolution-Petroleum Relationship vs Pressure at TR= 260ยบF 200

150

Rs (PCS/BS)

100

Standing Lasater Vรกzquez-Beggs Glaso Al-Marhoun Kartoadmodjo-Schmidt TOTAL Dockla-Osman Petrosky-Farshad

-50

-100

500

1000

1500

2000

2500 P (psia)

3000

3500

4000

4500

5000

>> lAPI=22.0; lg=0.8787; T=260; Tsep=185; Psep=30+14.7; Ps=[0 56 100 216 378 600 760 850 950 1100 2100 3100 4100 4675]+14.7; Pb=774.7; >> Rs=Pet_Rs(lAPI,lg,T,Tsep,Psep,Ps,Pb); INPUTDATA: PROPERTY PROPERTY VALUE lAPI(ยบAPI) 22 lg 0.8787 T(ยบF) 260 Tsep(ยบF) 185 Psep(psia) 44.7 Corr`s Rs(PCS/BS)/Ps(psia) Standing Lasater Vรกzquez-Begg Glaso 14.7 2.53794 -59.1412 1.1901 4.6048 70.7 7.26426 -45.8603 6.63128 13.1932 114.7 11.4366 -36.0331 11.2572 18.7855 230.7 23.6476 -11.9054 24.1742 32.2763 392.7 42.6766 19.0558 43.2526 50.1835 614.7 71.2859 58.7455 70.6071 74.5524 774.7 93.2677 86.3844 90.9354 92.3843 864.7 93.2677 86.3844 90.9354 92.3843 964.7 93.2677 86.3844 90.9354 92.3843 1114.7 93.2677 86.3844 90.9354 92.3843 2114.7 93.2677 86.3844 90.9354 92.3843 3114.7 93.2677 86.3844 90.9354 92.3843 4114.7 93.2677 86.3844 90.9354 92.3843 4689.7 93.2677 86.3844 90.9354 92.3843 Corr`s Rs(PCS/BS)/Ps(psia) Al-Marhoun Kartoad-Schmidt TOTAL Dokla-Osman 14.7 0.325768 1.896999 1.487856 0.7602897 70.7 2.92947 9.143775 8.307356 6.653195 114.7 5.76319 14.84445 14.11141 12.97957 230.7 15.3132 29.88641 30.33093 34.07236 392.7 32.22 50.91092 54.30568 71.0321 614.7 60.2928 79.74181 88.70228 131.8924 774.7 83.3235 100.5304 114.2746 181.543 864.7 83.3235 100.5304 114.2746 181.543 964.7 83.3235 100.5304 114.2746 181.543 1114.7 83.3235 100.5304 114.2746 181.543 2114.7 83.3235 100.5304 114.2746 181.543 3114.7 83.3235 100.5304 114.2746 181.543 4114.7 83.3235 100.5304 114.2746 181.543 4689.7 83.3235 100.5304 114.2746 181.543 >>

Petr-Farshad 62.46808 66.84037 70.36303 80.01354 94.35722 115.6112 132.0458 132.0458 132.0458 132.0458 132.0458 132.0458 132.0458 132.0458

ATTACHMENT 7. Oil Volumetric Factor Bo.

Oil Volumetric Factor vs Pressure at TR= 260ยบF 1.25 Standing Vรกzquez-Beggs Glaso Al-Marhoun Kartoadmodjo-Schmidt TOTAL Dockla-Osman Petrosky-Farshad Aparent density

1.2

Bo (BR/BS)

1.15

1.1

1.05

500

1000

1500

2000

2500 P (psia)

3000

3500

4000

4500

5000

>> Co=1.0e-004 *[ 0.9474 0.4689 0.2959 0.1382 0.1094 0.0985 0.0946]; P=[56 100 216 378 600 760 850 950 1100 2100 3100 4100 4675]+14.7; Pb=774.7; Rs=[ 32.5876 39.8070 55.4566 67.0591 93.1800 112.7000]; Rsb=112.7; T=260; lAPI=22.0; lg=0.8787; Tsep=185; Psep=30+14.7; >> valBo=Bo_Pet(Co,P,Pb,Rs,Rsb,T,lAPI,lg,Tsep,Psep); INPUTDATA: PROPERTY PROPERTY VALUE lAPI(ยบAPI) 22 lg 0.8787 T(ยบF) 260 Tsep(ยบF) 185 Psep(psia) 44.7 Rsb(PCS/BS) 112.7 Pb(psia) 774.7 Corr`s Bo(BY/BS)/P(psia) Standing Vรกzquez-Beggs Glaso Al-Marhoun 70.7 1.1146 1.1092 1.0785 1.1447 114.7 1.1179 1.1119 1.0815 1.149 230.7 1.1251 1.1176 1.0882 1.1578 392.7 1.1305 1.1219 1.0933 1.1641 614.7 1.1426 1.1315 1.1049 1.1773 774.7 1.1519 1.1386 1.1138 1.1868 Corr`s Bo(BY/BS)/P(psia) Kartoa-Schmidt TOTAL Dockla-Osman Petr-Farshad Ap density 70.7 1.1365 1.0306 1.1932 1.0675 1.0886 114.7 1.1407 1.0348 1.197 1.0736 1.0917 230.7 1.1494 1.0438 1.205 1.0858 1.0983 392.7 1.1555 1.0504 1.2107 1.0942 1.1029 614.7 1.1687 1.0654 1.2232 1.1122 1.1138 774.7 1.1781 1.0766 1.2322 1.1249 1.122 Corr`s Bo(BY/BS)/P(psia) Standing Vรกzquez-Beggs Glaso Al-Marhoun 864.7 1.1421 1.129 1.1043 1.1767 964.7 1.1416 1.1285 1.1039 1.1763 1114.7 1.1403 1.1272 1.1026 1.1749 2114.7 1.1307 1.1177 1.0933 1.165 3114.7 1.1227 1.1099 1.0856 1.1568 4114.7 1.1146 1.1018 1.0777 1.1484 4689.7 1.11 1.0972 1.0733 1.1437 Corr`s Bo(BY/BS)/P(psia) Kartoa-Schmidt TOTAL Dockla-Osman Petr-Farshad Ap density 864.7 1.1681 1.0675 1.2218 1.1154 1.1125 964.7 1.1677 1.067 1.2213 1.115 1.112 1114.7 1.1663 1.0658 1.2199 1.1137 1.1107 2114.7 1.1565 1.0568 1.2096 1.1043 1.1014 3114.7 1.1484 1.0494 1.2011 1.0965 1.0936 4114.7 1.14 1.0418 1.1923 1.0885 1.0857 4689.7 1.1353 1.0375 1.1874 1.084 1.0812 >>

ATTACHMENT 8. Total Volumetric Factor Bt.

Total Volumetric Factor vs Pressure at TR= 260ยบF 5.5 Standing Vรกzquez-Beggs Glaso Al-Marhoun Kartoadmodjo-Schmidt TOTAL Dockla-Osman Petrosky-Farshad Glaso1 Al-Marhoun1

4.5

Bt (BR/BS)

3.5

2.5

1.5

500

1000

1500

2000

2500 P (psia)

3000

3500

4000

4500

5000

>> Co=1.0e-004 *[ 0.9474 0.4689 0.2959 0.1382 0.1094 0.0985 0.0946]; P=[56 100 216 378 600 760 850 950 1100 2100 3100 4100 4675]+14.7; Pb=774.7; Rs=[ 32.5876 39.8070 55.4566 67.0591 93.1800 112.7000]; Rsb=112.7; T=260; lAPI=22.0; lg=0.8787; Tsep=185; Psep=30+14.7; CN2=1.88/100; CCO2=1.60/100; CH2S=0.0; >> valBt=Bt_Pet(Co,P,Pb,Rs,Rsb,T,lAPI,lg,Tsep,Psep,CN2,CCO2,CH2S); INPUTDATA: PROPERTY PROPERTY VALUE lAPI(ยบAPI) 22 lg 0.8787 T(ยบF) 260 Tsep(ยบF) 185 Psep(psia) 44.7 Rsb(PCS/BS) 112.7 Pb(psia) 774.7 CN2 0.0188 CCO2 0.016 CH2S 0 P(psia) Z 70.7 0.99235 114.7 0.98763 230.7 0.97534 392.7 0.95861 614.7 0.93672 774.7 0.92184 Corr`s Bt(BY/BS)/P(psia) Standing Vรกzquez-Beggs Glaso Al-Marhoun Kartoao-Schmidt 70.7 5.1951 5.1897 5.1589 5.2251 5.217 114.7 3.3955 3.3895 3.3591 3.4266 3.4183 230.7 2.0033 1.9958 1.9664 2.0361 2.0276 392.7 1.5348 1.5262 1.4976 1.5684 1.5598 614.7 1.2506 1.2394 1.2128 1.2853 1.2766 774.7 1.1519 1.1386 1.1138 1.1868 1.1781 Corr`s Bt(BY/BS)/P(psia) TOTAL Dockla-Osman Petr-Farshad Glaso1 Al-Marhoun1 70.7 5.1111 5.2736 5.148 2.6104 3.4818 114.7 3.3124 3.4746 3.3512 2.0986 2.6597 230.7 1.922 2.0832 1.964 1.6162 1.9119 392.7 1.4547 1.615 1.4985 1.3092 1.4651 614.7 1.1733 1.3311 1.2202 1.2086 1.3081 774.7 1.0766 1.2322 1.1249 1.1731 1.25 Corr`s Bt(BY/BS)/P(psia) Standing Vรกzquez-Beggs Glaso Al-Marhoun 864.7 1.1421 1.129 1.1043 1.1767 964.7 1.1416 1.1285 1.1039 1.1763 1114.7 1.1403 1.1272 1.1026 1.1749 2114.7 1.1307 1.1177 1.0933 1.165 3114.7 1.1227 1.1099 1.0856 1.1568 4114.7 1.1146 1.1018 1.0777 1.1484 4689.7 1.11 1.0972 1.0733 1.1437 Corr`s Bt(BY/BS)/P(psia) Kartoa-Schmidt TOTAL Dockla-Osman Petr-Farshad 864.7 1.1681 1.0675 1.2218 1.1154 964.7 1.1677 1.067 1.2213 1.115 1114.7 1.1663 1.0658 1.2199 1.1137

2114.7 3114.7 4114.7 4689.7 >>

1.1565 1.1484 1.14 1.1353

1.0568 1.0494 1.0418 1.0375

1.2096 1.2011 1.1923 1.1874

1.1043 1.0965 1.0885 1.084

ATTACHMENT 9. Oil Compression Factor Co.

x 10

-3

Compression Factor vs Pressure at TR= 260ยบF Vรกzquez-Beggs Kartoadmodjo-Schmidt Petrosky-Farshad McCain-Rollins-Villena

0.9

0.8

0.7

Co (psia)

0.6

0.5

0.4

0.3

0.2

0.1

0 500

1000

1500

2000

2500 3000 P (psia)

3500

4000

4500

5000

>> Rsb=112.7; lAPI=22.0; lg=0.8787; T=260; P=[510 636 652 699 726 752 760 850 950 1100 2100 3100 4100 4675]+14.7; Tsep=185; Psep=30+14.7; Pb=774.7; >> [valCo2,valCo]=compresibilityCo(Rsb,lAPI,lg,T,P,Tsep,Psep,Pb); INPUTDATA: PROPERTY PROPERTY VALUE lAPI(ยบAPI) 22 lg 0.8787 T(ยบF) 260 Tsep(ยบF) 185 Psep(psia) 44.7 Pb(psia) 774.7 Rsb(PCS/BS) 112.7 Correlation`s Co(1/psi)/P(psia) Vรกzquez-Beggs Kartoatmodjo-Schmidt Petrosky-Farshad 864.7 3.406e-005 1.6929e-005 9.4201e-006 964.7 3.0529e-005 1.5174e-005 8.8305e-006 1114.7 2.6421e-005 1.3132e-005 8.108e-006 2114.7 1.3927e-005 6.9221e-006 5.5549e-006 3114.7 9.4557e-006 4.6997e-006 4.4193e-006 4114.7 7.1577e-006 3.5575e-006 3.7492e-006 4689.7 6.2801e-006 3.1214e-006 3.4705e-006 Correlation`s Co(1/psi)/P(psia) McCain-Rollins-Villena 524.7 0.00085434 650.7 0.00062532 666.7 0.00060368 713.7 0.0005469 740.7 0.00051823 766.7 0.00049294 774.7 0.00048558 >>

ATTACHMENT 10. Oil Viscosity µo.

Beal & Beggs-Rob Beggs-Rob & Beggs-Rob Glaso & Beggs-Rob Kart-Sch & Beggs-Rob Beal & Chew-Conally Beggs-Rob & Chew-Conally Glaso & Chew-Conally Kart-Sch & Chew-Conally Beal & Kart-Sch Beggs-Rob & Kart-Sch Glaso & Kart-Sch Kar-Sch & Kart-Sch

Oil Viscosity vs Pressure at TR= 260ยบF 5

4.5

Oil Viscosity(cp)

3.5

2.5

1.5

100

200

300

400 P (psia)

500

600

700

800

Oil Viscosity vs Pressure at TR= 260ยบF 8 Beggs-Rob & Beal Chew Connally & Beal Kart-Sch & Beal Beggs-Rob & Vaz-Beggs Chew Connally & Vaz-Beggs Kart-Sch & Vaz-Beggs Beggs-Rob & Kart-Sch Chew Connally & Kart-Sch Kart-Sch & Kart-Sch

Oil Viscosity(cp)

1 500

1000

1500

2000

2500 3000 P (psia)

3500

4000

4500

5000

>> lAPI=22.0; T=260; Rs=[ 32.5876 39.8070 55.4566 67.0591 93.1800 112.7000]; P=[56 100 216 378 600 760 850 950 1100 2100 3100 4100 4675]+14.7; Pb=774.7; Rsb=112.7; >> [valuo,valuoup]=uo_Pet(lAPI,T,Rs,P,Pb,Rsb); uo-oil(cp)/P(psia) Beal&Beggs-Rob Beggs-Rob&Beggs-Rob Glaso&Beggs-Rob Kart-Sch&Beggs-Rob 70.7 2.5298 2.4091 3.9414 4.1404 114.7 2.4275 2.3131 3.7603 3.9475 230.7 2.235 2.1324 3.4222 3.588 392.7 2.1132 2.0179 3.2104 3.363 614.7 1.8874 1.8055 2.8227 2.9517 774.7 1.7516 1.6775 2.5925 2.7079 uo-oil(cp)/P(psia) Beal&Chew-Con Beggs-Rob&Chew-Con Glaso&Chew-Con Kart-Sch&Chew-Con 70.7 2.8226 2.6856 4.4326 4.6605 114.7 2.7635 2.6304 4.3235 4.5438 230.7 2.6426 2.5175 4.1022 4.3075 392.7 2.5588 2.4391 3.9505 4.1457 614.7 2.386 2.2773 3.6422 3.8174 774.7 2.2695 2.168 3.4376 3.5998 uo-oil(cp)/P(psia) Beal&Kart-Sch Beggs-Rob&Kart-Sch Glaso&Kart-Sch Kar-Sch&Kart-Sch 70.7 2.7194 2.5889 4.2369 4.4498 114.7 2.6678 2.5407 4.1441 4.351 230.7 2.5605 2.4401 3.9524 4.1467 392.7 2.4846 2.369 3.8179 4.0036 614.7 2.3247 2.2189 3.537 3.7049 774.7 2.2141 2.115 3.3452 3.5013 PRESS ANY KEY TO CONTINUE uo-oil(cp)/P(psia) Be-Rob&Beal Ch-Con&Beal Kart-Sch&Beal Be-Rob&Vaz-Beggs Ch-Con&Vaz-Beg 864.7 1.687 2.283 3.5242 1.6911 2.288 964.7 1.6976 2.2979 3.5497 1.7084 2.3113 1114.7 1.7134 2.3203 3.5879 1.738 2.3514 2114.7 1.8191 2.4695 3.8428 2.0309 2.7476 3114.7 1.9248 2.6187 4.0977 2.4613 3.33 4114.7 2.0305 2.7679 4.3526 3.0121 4.0751 4689.7 2.0912 2.8537 4.4991 3.3784 4.5707 uo-oil(cp)/P(psia) Kart-Sch&Vaz-Beggs Be-Rob&Kart-Sch Chew-Con&Kart-Sch Kart-Sch&Kart-Sch 864.7 3.5297 1.6859 2.2826 3.5259 964.7 3.5657 1.6938 2.2952 3.5502 1114.7 3.6275 1.7056 2.3139 3.5866 2114.7 4.2388 1.7843 2.4391 3.8293 3114.7 5.1372 1.863 2.5642 4.072 4114.7 6.2868 1.9417 2.6893 4.3146 4689.7 7.0513 1.987 2.7613 4.4542 >>

ATTACHMENT 11. Oil Density ρo.

Oil Density vs Pressure at TR= 260ยบF

Standing Vรกzquez-Beggs Glaso Al-Marhoun Kartoadmodjo-Schmidt TOTAL Dockla-Osman Petrosky-Farshad Aparent density

pho oil (lb/PCS)

500

1000

1500

2000

2500 P (psia)

3000

3500

4000

4500

5000

>> Co=1.0e-004 *[ 0.9474 0.4689 0.2959 0.1382 0.1094 0.0985 P=[56 100 216 378 600 760 850 950 1100 2100 3100 4100 4675]+14.7; Pb=774.7; Rs=[ 32.5876 39.8070 55.4566 67.0591 93.1800 112.7000]; Rsb=112.7; T=260; lAPI=22.0; lg=0.8787; Tsep=185; Psep=30+14.7; >> valpo=rhooil(Co,P,Pb,Rs,Rsb,T,lAPI,lg,Tsep,Psep); INPUTDATA: PROPERTY PROPERTY VALUE lAPI(ยบAPI) 22 lg 0.8787 T(ยบF) 260 Tsep(ยบF) 185 Psep(psia) 44.7 Rsb(PCS/BS) 112.7 Pb(psia) 774.7 rho-oil(lb/PC)/P(psia) Standing Vรกzquez-Beggs Glaso Al-Marhoun 70.7 51.9316 52.184 53.6725 50.5675 114.7 51.8557 52.1372 53.6011 50.4522 230.7 51.6908 52.0365 53.4428 50.2284 392.7 51.5681 51.9625 53.3227 50.0793 614.7 51.2911 51.798 53.0446 49.7796 774.7 51.0836 51.6769 52.831 49.5794 rho-oil(lb/PC)/P(psia) Kart-Schmidt TOTAL Dockla-Osman Petrosky-Farshad 70.7 50.9312 56.1631 48.5125 54.2233 114.7 50.8186 56.0216 48.4286 53.9978 230.7 50.598 55.719 48.2624 53.5631 392.7 50.4496 55.4979 48.1491 53.2746 614.7 50.1479 55.0103 47.9144 52.6947 774.7 49.9438 54.6548 47.7518 52.3064 rho-oil(lb/PC)/P(psia) Standing Vรกzquez-Beggs Glaso Al-Marhoun 864.7 51.521 52.1194 53.2834 50.0039 964.7 51.5407 52.1393 53.3038 50.023 1114.7 51.6001 52.1994 53.3652 50.0807 2114.7 52.0384 52.6428 53.8185 50.5061 3114.7 52.4082 53.0169 54.2009 50.865 4114.7 52.7921 53.4053 54.598 51.2376 4689.7 53.011 53.6266 54.8243 51.45 rho-oil(lb/PC)/P(psia) Kart-Schmidt TOTAL Dockla-Osman Petrosky-Farshad 864.7 50.3715 55.1228 48.1607 52.7543 964.7 50.3908 55.1439 48.1791 52.7745 1114.7 50.4488 55.2074 48.2347 52.8353 2114.7 50.8774 55.6764 48.6444 53.2841 3114.7 51.2389 56.072 48.99 53.6627 4114.7 51.6143 56.4828 49.3489 54.0559 4689.7 51.8282 56.7169 49.5535 54.28 >>

0.0946];

Ap Density 53.1736 53.1007 52.9494 52.8574 52.6194 52.4439

Ap Density 52.893 52.9132 52.9742 53.4241 53.8038 54.1979 54.4226