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Three dimensional simulation of unstable immiscible displacement in the porous medium

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Abstract

In this study changes of uncontinuous potential functions at the interface were used to simulate the immiscible displacement in porous media. The elliptic partial differential equation was changed to a seven-point molecule form algebraic equation in three dimensions using the finite difference method. The strongly implicit procedure was adopted to determine the potential functions at every time instant. Then the change of interface was determined. The simulation was continued until the displacement changed to unstable state. The effect of capillary pressure, wetting property, and nonuniformity of permeability were considered.

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Authors and Affiliations

  1. Sichuan Union University, 610065, Chengdu, P. R. China

    Tan Xiaoping, Pei Juemin & Chen Junkai

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  1. Tan Xiaoping
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  2. Pei Juemin
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  3. Chen Junkai
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Communicated by Kang Zhenhuang

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Xiaoping, T., Juemin, P. & Junkai, C. Three dimensional simulation of unstable immiscible displacement in the porous medium. Appl Math Mech 18, 81–89 (1997). https://doi.org/10.1007/BF02457504

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  • DOI: https://doi.org/10.1007/BF02457504

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