Abstract
Invasion percolation theory is here applied to the simulation of immiscible displacement of two phases in well-defined porous media. A model has been developed that takes not only the influence of the capillary number into account but also the wettability of the system and the viscosity ratio of the immiscible phases. The porous medium in this model is described by a network of pores of equal length. Their size (radius) follows a selected distribution function. Four different distribution functions have been tested in this work: the even distribution function f(r) = c, the χ2 function (with n equal to 4 and 10) and a function f(r) =2r · exp(− r 2), which was also used by Heiba et al. (1986). The influence of the distribution functions on the simulation results was investigated. A method to generate the corresponding network model based on the properties of a given medium is also proposed. The simulation results show that the displacement results cannot be described by the capillary number alone, and the influence of the viscosity ratio between the two phases varies with the capillary number. The larger the capillary number, the larger the influence. The wettability of the system also changes significantly the dependence of the residual oil saturation (both for the oil-wet and the water-wet cases) on the capillary number. This is most dominant when the capillary number is relatively small. The critical capillary number is determined for porous media with different wettabilities. The simulated results are compared with experimental results published by other investigators and this laboratory.
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References
Abrams, A. (1975). The influence of fluid viscosity, interfacial tension, and flow velocity on residual oil saturation left by waterflood. Soc. Petroleum Eng. J., (Oct.), 437–447.
Anderson, W.G. (1987). Wettability literature survey—Part 6: The effects of wettability on waterflooding. SPE Reservoir Eng. (Dec.), 1605–1622.
Chandler, R., Koplik, J., Lerman, K. and Willemsen, J. (1982). Capillary displacement and percolation in porous media. J. Fluid Mechanism 119, 249–267.
Chatzis, I. and Morrow, N.R., (1984). Correlation of capillary number relationships for sandstone. Soc. Petroleum Eng. J. (Oct.), 555–562.
Dullien, F.A.L., Dkawan, G.K., Gurak, N. and Babjak, L. (1972). A relationship between pore structure and residual oil saturation in tertiary surfactant floods. Soc. Petroleum Eng. J. (Aug.), 25–53.
Foster, W.A., (1973). A low-tension waterflooding process. J. Petroleum Technol. No. 25, 205–210.
Gun Oh, S. and Slatter, J. (1973). Interfacial tension required for significant displacement of residual oil. Soc. Petroleum Eng. J. (April), 83–95.
Gupta, S.P. and Trushenski, S.P. (1979). Micellar flooding—Compositional effects on oil displacement. Soc. Petroleum Eng. J. (April).
Heiba, A.A., Jerauld, G.R., Davis, H.T., and Scriven, L.E. (1386). Mechanism-based simulation of oil recovery processes. Paper no. SPE 15593.
Koplik, J. and Lasseter, T.J. (1982). One- and two-phase flow in network models of porous media. Chem. Eng. Commun. 26, 285–295.
Larson, R.G., Scriven, L.E. and Davies, H.T. (1981). Displacement of residual nonwetting fluid from porous media. Chem. Eng. Sci. 36, 75–85.
Lin, C.H. and Slatter, J.C. (1982). Three-dimensional randominized network model for two phase flow through porous media. Am. Ind. Chem. Eng. J. 28 (2), 311–324.
Mohanty, K.K., Davies, H.T. and Scriven, L.E. (1987). Physics of oil entrapment in water-wet rock. SPE Reservoir Eng. (Feb.), 113–128.
Mungan, J. (1966). Interfacial effects in immiscible liquid-liquid displacement in porous media. Soc. Petroleum Eng. J. (Sept.), 247–253.
Stenby, E.H. and Zhou D.E. (in prep.). A Laboratory and theoretical study on immiscible displacement processes in artificial cores. Submitted to SPE/DOE Seventh Symposium on Enhanced Oil Recovery, Tulsa, Oklahoma, April, 1990.
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© 1990 Norwegian Institute of Technology
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Zhou, D., Stenby, E.H. (1990). Immiscible Displacement in a Porous Medium Simulated by a Statistical Model. In: Buller, A.T., Berg, E., Hjelmeland, O., Kleppe, J., Torsæter, O., Aasen, J.O. (eds) North Sea Oil and Gas Reservoirs—II. Springer, Dordrecht. https://doi.org/10.1007/978-94-009-0791-1_23
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DOI: https://doi.org/10.1007/978-94-009-0791-1_23
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