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Filtration of a piecewise-homogeneous liquid

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Abstract

The nonsteady filtration of two immiscible liquids, in the absence of pressure, in a homogeneous and isotropic porous medium, is considered. A nonlinear hydrodynamic problem is formulated, and a number of its features are noted. The solution of the corresponding linearized problem is obtained.

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Literature cited

  1. P. Ya. Polubarinova-Kochina, Theory of Ground-Water Motion [in Russian], Gostekhizdat, Moscow (1952).

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  2. Development of Filtration-Theory Research in the USSR (1917–1967) [in Russian], Nauka, Moscow (1969).

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Authors and Affiliations

  1. Novosibirsk

    Yu. I. Kapranov

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  1. Yu. I. Kapranov
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Translated from Izvestiya Akademii Nauk SSSR, Mekhanika Zhidkosti i Gaza, No. 6, pp. 62–69, November–December, 1976.

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Kapranov, Y.I. Filtration of a piecewise-homogeneous liquid. Fluid Dyn 11, 872–878 (1976). https://doi.org/10.1007/BF01026407

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  • DOI: https://doi.org/10.1007/BF01026407

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