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One-dimensional filtration of immiscible liquids in a nonuniform porous medium
Authors:B. I. Levi  M. I. Shvidler
Abstract:As is known, the differential equation for two-phase filtration with account for capillarity was obtained in [1], and later integrated numerically for the case of a uniform stratum of finite length in [2]. Other versions of the solution of the Rapoport-Leas equation or the system which is equivalent to it are known [3, 4]. This article presents the results of a numerical solution of an analogous problem with account for nonuniform permeability of the stratum.The authors wish to thank T. V. Startsev and L. Kh. Aminov for assistance in performing the calculations on the Ural-3 computer.
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