Mathematical model for immiscible displacement honouring hysteresis

SPE Latin American and Caribbean Petroleum Engineering Conference Proceedings

Volumn 1996-April, Issue , 1996, Pages 557-573

  Bedrikovetsky, P ^a   Marchesin, D ^b   Ballin, P R ^c  

^a GUBKIN RUSSIAN STATE UNIVERSITY OF OIL AND GAS   (Russian Federation)

^b IMPA   (Brazil)

^c SPE   (Brazil)

Author keywords

[No Author keywords available]

Indexed keywords

GASOLINE; HYSTERESIS;

FRACTIONAL FLOW; IMMISCIBLE DISPLACEMENT; MATHEMATICAL THEORY; PHYSICAL INTERPRETATION; RELATIVE PERMEABILITY; SELF-SIMILAR; SEQUENTIAL INJECTION; TWO-PHASE DISPLACEMENTS;

DRAINAGE;

EID: 58549116532     PISSN: None     EISSN: None     Source Type: Conference Proceeding    
DOI: 10.2523/36132-ms     Document Type: Conference Paper

References (24)

1. Dullien, F.A.L., 1992, Porous Media: Fluid Transport and Pore Structure, 2nd Ed., Academic Press INC, NY/Boston, London.
2. Honarpour, M., Koederitz, L. and Harvey, A.H., 1986, Relative Permeability of Petroleum Reservoirs, CRC Press Inc, Boca Raton, Florida
3. Owens, W W. and Archer, D.L., 1971, The effect of rock wettability on oil-water relative permeability relationships. Trans. AIME, V.251, p.873.
4. Colonna, J., Brissaud, F. and Millet, J.L., 1972, Evolution of Capillary and Relative Permeability Hysteresis, SPEJ, February, 28.
5. Gladfelter, R E. and Gupta, S P. 1980, Effect of Fractional Flow Hysteresis on recovery of Tertiary Oil, SPEJ, December, 508.
6. Morrow, N R., Lim, H.T. and Ward, J.S., 1986, Effect of Crude-Oil-Induced Wettability Changes on Oil Recovery, SPE RE, February, 89; Trans. AIME, 281.
7. Kovscek, A.R., Wong, H. and Radke, C.J., 1993, A Pore Level Scenario for the development of Mixed Wettability in Oil Reservoirs, AIChE J., June, V.39, No 6, 1072.
8. Braun, E M. and Holland, R.F., 1995, Relative Permeability Hysteresis: Laboratory Measurements and a Conceptual Model. SPE RE. August
9. Land, C.S., 1968, Calculation of Imbibition Relative Permeability for Two- and Three-Phase Flow from Rock Properties, SPEJ, June, Trans. SPE of AIME. V.243, p.149-156.
10. Killough, J.E., 1976, Reservoir Simulation with History-Dependenl Saturation Functions, SPEJ, February, 37; Trans, AIME. 261.
11. Guo, Y., 1995, Importance of Capillary Hysteresis on Coreflood Experiments, VIII European Symposium on Improved Oil Recovery, May 15-17, Vienna, Austria, V. 1,70.
12. Lenhard, R.J. and Parker, J.C., 1987, A Model for Hysteretic Constitutive Relations Governing Multiphase Flow; 2. Permeability-Saturation Relations, Water Resources Research, V.23, No. 12, p.2197-2206.
13. Aziz, K. and Settari, A., 1979, Petroleum Reservoir Simulation. Applied Science Publishers, London VNY.
14. Krasnoselskii, M.A. and Pokrovskii, A.D., 1989, Systems with hysteresis. Springer Verlag, Berlin.
15. Marchesin, D., Medeiros, H.B. and Paes-Leme, P. J., 1987, A Model for Two-Phase Flow with Hysteresis, Contemporary Mathematics, V.60, p.89-107.
16. Furati, Kh., 1995, The Solution of the Riemann Problem for a Hyperbolic System Modelling Polymer Flooding with Hysteresis, Submitted to J. of Math. Anal, and Appl., S1AM.
17. Furati, Kh., 1995, A Hysteretic Polymer Flooding Model, PhD Thesis, Duke University, Dept. of Mathematics.
18. Jones, S C. and Roszelle, W.O., 1978, Graphical Techniques for determining Relative Permeability from Displacement Experiments. JPT, May, 807-817, Trans. AIME, 265.
19. Naar, J., Wygal, RJ. and Henderson, J.H., 1962, Imbibition relative Permeability in Unconsolidated Porous Media, Trans. AIME, V.225, p. 13.
20. Gelfand, I.M., 1959, Some problems in the theory of quasi linear equations (in Russian). Uspekhi Mat. Nauk, 24, No.2(86). 87-158 (Amcr. Math. Soc. Transl. Ser.2, 1963,295-381).
21. Bedrikovetsky P.G. Mathematical Theory of Oil & Gas Recovery (With applications to ex-USSR oil & gas condensate fields), 1993, Kluwer Academic Publishers, London-Boston-Dordrecht
22. Lake, L.W., 1989, Enhanced Oil Rccovay, Prentice Hall, Enge-lwood Cliffs, NY 07632
23. Gennes, P.G. de, 1985, Wetting: Statics and Dynamics, Rev. of Modem Phys. 57 (3), 827-863.
24. Braining, J., 1995, Heterogeneous Flow in Porous Media Course TG 302, Centre of Techn. Geoscience, Delft University of Technology.