Development of a Modified Capillary Pressure J-Function

Author

By Noaman El-Khatib.

Abstracts

Capillary pressure curves are represented by the equation Pc=a / Sw-Swi)b. It is shown that for the Leverett J–function to produce a single correlation, the tourtuosity the ire-ducible water saturation and the saturation exponent b must be the same for the different formation amodified capillary pressure function J* is introduced that incorporates the tor– tuosity and irreducible water saturation In its. Definition the modified function is correlated with the normalized saturation SD so that atl curves will have their vertical asymptotes at a single point SD=O. The modified function represents a significant impro- vement over the original one since it is now sufficient to have the value of the saturation exponent b be the same for two samples to get the same correlation. This was verified by analyzing data from the literature and compating the two correlations. A modified linear regression by means of weighted least

References

  • Purcell, W.R., “Capillary Press– ures - Their Measurements Using Mercury and the Calculation of Permeability Therefrom,” Trans . AIME (1949) 186, 39-48.
  • Burdine, N.T., Gournay, L.S. and Reichertz, P.P., “Pore Size Distribution of Petroleum Reser– voir Rocks, “ trans. AIME ( 1950) 189, 195-204..
  • Holmes, Michael and Tippie, Douglas, B., “Comparison Bet– ween Log and Capillary Pressure Data to Estimate Reservoir wetting,” paper SPE 68S6, presented at the 52nd Annual Fall Tech. Conf. and Exhib. Of SPE Denver, Colorado Oct 9-12 1977.
  • Thomeer, J. H.M., “Introduction of a Pore Geometrical Factor Defined by the Capillary Pressure Curve, ” H, (March 1960) 73- 77.
  • Thomeer, J. H.M., “Air Permeability as a Function of Three Po- Network Parameters,” JPT (April 1983) 809-14.
  • Swanson, B.F., “A Simple Correlation Between Permeabilities and Mercury Capillary Pressures, ” JPT(Dec. 1981) 2498-504.
  • Leverett, M.C., “Capillary Behavior in porous Solids, “ Tm.us. AIME (1941) 142, 152-69.
  • Brown, Henry W., “Capillary Pressure Investigations,” Trans. AIME (1951) 192, 67-74.
  • Rose, Walter and Bruce, W.A., “Evaluation of Capillary Characters in Petroleum Reservoir Rocks, ” Trans. AIME (194) 186, 127-142.
  • Amyx, J.W. , Bass, D.M. and Whiting, R.L. , “Petaoleum Reservoir Eng”neexs”ng, McGraw-Hill, Book Co., Inc., New York City (1960) 158-61.
  • Wright, H.T., Jr., and Wooddy, L. D., Jr., “Formation Evaluation of the Borregas and Seeligson Field, Brooks and Jim Wells Country, Texas, ” Symposium on Formation Evaluation AIM , October, 1955.
  • Pietcher, .Jeffry L., “A Practicain Capillary Pressure Correction Technique ,“ .fPT(July 1994) 556.
  • Alger, R.P., Luffel, D.L., and Truman, R. B., “New Unified Method of Integrating CoreCapillary Pressure Data,” paper SPE 16793 presented at the 62nd Annual Tech. Conf. and Exhib. Of SPE, Dallas, TX, Sept. 27-30, 1987.
  • Kozeny, J., “Uber Kapillare Leitung des Wassers im Boden, ” Stzungsber. Akad. Wiss. Wien (1927) 136, 271-306.
  • Carmul, P. C, “Capillary Rise and Capillary Movement of Moisture in Fine Sands, ” Soil Sci., (1941) 52, 1-14.
  • Dullien, Francis, A.L., “New Network Permeability Model of Porous Media, ” AIChE J (March 1975) 21, 2, 299-307.
  • Maute, R. E., Lyle, W.D. and sprunt, Eve S., “Improved Method Determines Archie Para– meters From Core Data,” JPT IT(Jan 1992 ) 103 – 107
  • Day, Peter I., “Discussion of Improved Data-Analysis Deter– mines Archie parameters From Core Data, @T(July 1992) 846.
  • Rieckmaun, Mattin, “Evaluation of Reservoir Rocks of Low Permeability, ” (in German), presented at the 6th World Petroleum Congress, FrankfudMain, West Germany (1963), published in Erdol und Kohle, Erdgas, Petrochemie, special issue, (June 1963) - Section II, 488 - 496.
  • A1-Balawi, Yousif, S., “Petro- physical – Measurements on Con- solidated Sandstone Cores ,“ Unpublished B.Sc. Project, King Saud University, Riyadh (1994).
  • Tixier, M.P., “Evaluation of Per– meability from Electric-log Resistivity Gradient, ” Oil and Gas J (June 16, 1949) 48, NO. 6, 113- 122.
  • Soendenna, E., Bratteli, F., Kolltveit, K. and Normann, H.P. , “A Comparison Between Capillary Pressure Data and Saturation Exponent Obtained at Ambient Conditions and at Reservoir Conditions, “paper SPE 19592 presented at the 64th Annual Tech. Conf. and Exhib. of SPE, San htOlliO, TX., Oct. 8-11, 1989.
  • Longeron, D.G., Argaud, M.J., and Bouvier, L. , “Resistivity Index and Capillary Pressure Measurements Under Reservoir Conditions Using Crude Oil, ” paper SPE 19589 presented at the 64th Annual Tech. Conf. and Exbib. of SPE, San AtltOlliO, TX. , Oct. 8-11, 1989.
  • Wyljie, M.R.J. and Rose, W.D., “Some Theoretical Considerations Related to the Quantitative Evaluation of the Physical Characteristics of Reservoir Rock from Electrical Log Data,” Trans. AIME (1950) 189, 105-118.
  • Timur, A., “An Investimtion of Perme&liiy, Porosi$, and Residual Water Saturation Relationships for Sandstone Reservoirs, ” The Log Analyst (July- Aug. 1968) 9, No. 4

FULL Text