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New method for solving the one-dimensional problem of the displacement of petroleum by water taking account of capillary forces

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Abstract

The article describes a method for the solution of the one-dimensional problem of the displacement of petroleum by water taking account of capillary forces; on the basis of the method, in the equations of two-phase filtration it is proposed to use a new, soughtfor function, i.e., the fraction of water in the total flow of liquid. As a result, the problem is simplified, the labor consumption of the calculations is reduced, and it becomes possible to make a qualitative evaluation of the behavior of the solutions, including the analytical justification of a solution with a “stabilized zone.”

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Authors and Affiliations

  1. Krasnodar

    N. B. Zubov & G. P. Tsybul'skii

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  1. N. B. Zubov
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  2. G. P. Tsybul'skii
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Translated from Izvestiya Akademii Nauk SSSR, Mekhanika Zhidkosti i Gaza, No. 3, pp. 83–91, May–June, 1975.

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Zubov, N.B., Tsybul'skii, G.P. New method for solving the one-dimensional problem of the displacement of petroleum by water taking account of capillary forces. Fluid Dyn 10, 434–441 (1975). https://doi.org/10.1007/BF01015268

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  • DOI: https://doi.org/10.1007/BF01015268

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