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Boundary-value problems with external matching conditions and their application to flow through porous media
Authors:S. E. Kholodovskii
Affiliation:(1) Bryansk
Abstract:A method of solving plane problems of flow through soils with curved level lines and lines of discontinuity of the permeability function, fissures and curtain walls is proposed with reference to the example of m inhomogeneous zones separated by ellipses. The method is based on the solution of boundary-value problems with external matching conditions and is more efficient than the method of constructing flows on Riemann surfaces for two homogeneous zones [1], the method of reducing problems for homogeneous zones to the solution of a system of integral equations [2] and the circle theorem method for four homogeneous zones [3].Translated from Izvestiya Akademii Nauk SSSR, Mekhanika Zhidkosti i Gaza, No. 4, pp. 181–183, July–August, 1991.
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