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Three-dimensional two-phase filtration in an imperfect borehole in an oil-bearing stratum

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Abstract

The method of zonal linearization [1] is applied to the solution of the three-dimensional problem of the combined filtration of petroleum and bottom water to a borehole which is imperfect in the degree of opening up of the stratum. The article gives a system of integro-differential equations of the dynamics of surfaces of equal saturation (isosats), which is valid both for the waterless period of the work of the work of the borehole, and for the period of progressive flooding. A numerical solution of the problem is obtained, which is compared with an approximate analytical solution.

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Literature cited

  1. V. L. Danilov and R. M. Kats, “The method of homogeneous zones for the solution of nonlinear multidimensional problems of mass transfer in porous media,” Dokl. Akad. Nauk SSSR,201, No. 2 (1971).

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Authors and Affiliations

  1. Kiev, Moscow

    Yu. S. Abramov, V. L. Danilov & R. M. Kats

Authors
  1. Yu. S. Abramov
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  2. V. L. Danilov
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  3. R. M. Kats
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Translated from Izvestiya Akademii Nauk SSSR, Mekhanika Zhidkosti i Gaza, No. 3, pp. 159–164, May–June, 1974.

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Abramov, Y.S., Danilov, V.L. & Kats, R.M. Three-dimensional two-phase filtration in an imperfect borehole in an oil-bearing stratum. Fluid Dyn 9, 470–475 (1974). https://doi.org/10.1007/BF01025536

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  • DOI: https://doi.org/10.1007/BF01025536

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