PROPERTIES OF BLACK OILS - Petroleum Reservoir Fluid Property Correlations - page 60

Table 3-12. Comparison of published correlations for the coefficients of isothermal compressibility
of oils for reservoir pressures above the bubblepoint pressure reveals the most reliable correlations.

Predicted coefficients of isothermal compressibility of oils
ARE, % AARE, %
Spivey et al. (2007) c ofb equations* -0.1 6.8
Spivey et al. (2007) c o equations † 2.1 8.4
Al-Marhoun (2003) a * -3.9 12.6
Dindoruk-Christman (2004) b * -5.2 12.7
De Ghetto et al. “Light Oil” ºAPI > 31.1 (1994) c * -10.8 14.8
Petrosky-Farshad (1998) d†‡ -3.8 15.5
Labedi (1990) † -12.6 17.2
Almehaideb (1997) e†‡ -12.4 19.4
Whitson-Brule (2000) f† -13.4 20.2
Hanafy et al. (SPE 37439, 1997)/Calhoun (1953) g†‡ -2.3 24.6
Vazquez-Beggs (1980)* -6.8 26.2
Hanafy et al. (SPE 37439, 1997)* 22.2 26.4
Elsharkawy-Alikhan (1997) h† -4.1 31.3
Kartoatmodjo-Schmidt (1994) † -25.7 32.0
Ahmed equation 4-46 (1989)* 11.6 39.9
Farshad et al. (1996) i * ‡ 46.0 48.6
a Al-Marhoun, M.A. “The Coefficient of Isothermal Compressibility of Black Oils.” Paper SPE 81432. Presented at the SPE Middle East Oil
Show, Bahrain (2003). b Dindoruk, B. and Christman, P.G. “PVT Properties and Viscosity Correlations for Gulf of Mexico Oils.” Society
of Petroleum Engineers Reservoir Evaluation and Engineering . Vol. 7, No. 6 (2004) 427-437. c De Ghetto, G., Paone, F., and Villa, M.
“Reliability Analysis on PVT Correlations.” Paper SPE 28904. Presented at the European Petroleum Conference, London (1994). d Petrosky,
G.E. and Farshad, F.F. “Pressure-Volume-Temperature Correlations for Gulf of Mexico Crude Oils.” Society of Petroleum Engineers Reservoir
Evaluation and Engineering . Vol. 1 (October 1998) 416-420. e Almehaideb, R.A. “Improved PVT Correlations for UAE Crude Oils.” Paper
SPE 37691. Presented at the SPE Middle East Oil Conference and Exhibition, Bahrain (1997). f Whitson, C.H. and Brule, M.R. Phase
Behavior . Richardson, TX: Society of Petroleum Engineers (2000) 35-37. g Calhoun, J.C., Jr. Fundamentals of Reservoir Engineering .
Norman, OK: University of Oklahoma Press (1953) 35. h Elsharkawy, A.M. and Alikhan, A.A. “Correlations for Predicting Solution Gas/Oil
Ratio, Oil Formation Volume Factor, and Undersaturated Oil Compressibility.” Journal of Petroleum Science and Engineering . Vol. 17 (1997)
291-302. i Farshad, F.F., LeBlanc, J.L., Gruber, J.D., and Osorio, J.G. “Empirical PVT Correlations for Columbian Crude Oils.” Paper SPE
36105. Presented at the Fourth Latin American and Caribbean Petroleum Engineering Conference, Port-of-Spain (1966). * Correlation results
compared to values of c ofb calculated from the data set. † Correlation results compared to values of c o calculated from the data set.
‡ Author restricted the correlation to a specific geographical area.

Correlation

Spivey et al. used approximately 90% of the data of table 3-11 to
prepare their correlation equations; Vazquez and Beggs apparently used
most of these data as well as additional data in their work. 24 Apparently
the other authors did not have access to the data set described in
table 3-11.
Figures 3-9, 3-10, 3-11, and 3-12 show the evaluations of four
correlation equations using the data set sorted and sliced into 10
approximately equal increments for each of the independent variables.
Calculations with the Whitson-Brule equation were compared with
values of c o calculated with the data set; results from the other three
correlations were compared with values of c ofb from the data set.