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Plane filtration in a laminar medium in the presence of imperfect reservoirs

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Abstract

Exact and approximate solutions were obtained describing filtration flow in a plane region in sectors corresponding to imperfect reservoirs and suction gaps. These equations make it possible to obtain an approximate solution to the three-dimensional problem of the filtration of ground waters by solution of the two-dimensional problem; imperfect reservoirs are permitted in the filtration region.

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Literature cited

  1. P. Ya. Polubarinova-Kochina, The Theory of the Movement of Ground Waters [in Russian], Izd. Gostekhizdat, Moscow (1952).

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  2. V. E. Shamanskii, Numerical Solution of Problems of the Filtration of Ground Waters in a Digital Computer [in Russian], Izd. Naukova Dumka, Kiev (1969).

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Translated from Izvestiya Akademii Nauk SSSR, Mekhanika Zhidkosti i Gaza, No. 3, pp. 76–83, May–June, 1973.

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Shamanskii, V.E. Plane filtration in a laminar medium in the presence of imperfect reservoirs. Fluid Dyn 8, 405–410 (1973). https://doi.org/10.1007/BF01019965

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  • DOI: https://doi.org/10.1007/BF01019965

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