Abstract
The problem of finding the potential of a translational flow through a system of circular or spherical layers in a porous medium obeying Darcy's law is considered. The permeability coefficients change stepwise across the interface. The method is based on deriving special recurrence relations which give a rational dependence of the potentials on the permeability coefficients suitable for specific calculations.
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REFERENCES
P.Ya. Polubarinova-Kochina, Theory of Groundwater Motion [in Russian], Nauka, Moscow (1977).
O.V. Golubeva, Course in Continuum Mechanics [in Russian], Vysshaya Shkola, Moscow (1972).
L. I. Kostitsyna, “Translational filtration flow across a system of spherical layers with different permeabilities,” Hydromechanics. Collection of Papers [in Russian], Publishing House of the N.K. Krupskaya Moscow Region Teachers' Training College, Moscow, Pt. 2, 14–17 (1973).
V. F. Piven, Functions of a Complex Variable in Dynamic Processes [in Russian], Publishing House of the Orel Teachers' Training College, Orel (1994).
St. J. Gheorghita, “O solutie exact´a pentru miscari in medii de tiqul II,” Stud. si cerc. mat., 26, No. 2, 159–167 (1954).
C. Truchasson, “Remarques concernant des obstacles non perturbants dans un écoulement d'infiltration,” C. r. Acad. sci., 257, No. 20, 2959–2962 (1963).
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Zaitsev, A.A., Fomchenkov, V.V. & Shpilevoi, A.Y. On Calculating a Translational Flow Through a System of Circular or Spherical Layers with Different Permeabilities. Fluid Dynamics 37, 996–998 (2002). https://doi.org/10.1023/A:1022368801136
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DOI: https://doi.org/10.1023/A:1022368801136