Abstract
The article gives a solution to the problem of the three-dimensional filtration of a homogeneous incompressible liquid in a thick curved stratum. It discusses different variants of the change in the permeability and the porosity of the medium in a vertical section. In known work [1, 2], studies have been made of the filtration flows in homogeneous “thin” (i.e., with a vanishingly small thickness) curved strata.
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P. Ya. Polubarinova-Kochina, “Sources and sinks at a surface”, Prikl. Mat. i Mekhan.,14, No. 1 (1950).
V. P. Pilatovskli, “Determination of the flow rate of a battery of boreholes, draining a conical stratum”, Dokl. Akad. Nauk SSSR,87, No. 6 (1952).
E. Kamke, Handbook on Ordinary Differential Equations [Russian translation], Nauka, Moscow (1965).
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Translated from Izvestiya Akademii Nauk SSSR. Mekhanika Zhidkosti i Gaza, No. 2, pp. 168–172, March–April, 1973.
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Abramov, Y.S., Kisel', V.A. Steady-state filtration in a dome-shaped nonhomogeneous stratum. Fluid Dyn 8, 320–323 (1973). https://doi.org/10.1007/BF01017548
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DOI: https://doi.org/10.1007/BF01017548