This article is cited in 4 papers

Solution of a problem of a seepage fields distribution into infinite porous massif with two circular inclusions

Yu. V. Obnosov

N. G. Chebotarev Research Institute of Mathematics and Mechanics, Kazan State University

Abstract: A closed solution to the problem on 2-D seepage flow in a heterogeneous three-component porous medium is presented. The medium is composed of an infinite matrix and two isotropic circular inclusions, placed in the medium without intersections of the corresponding circumferences. The limiting cases of touching circumferences as well as the degeneration of one circumference into a straight line are studied. The solutions are obtained in the form of infinite series, whose convergence is investigated and the truncated terms are estimated. Summation of the series is carried out in the form of elementary functions for the limiting cases when the inclusion hydraulic conductivity is 0 or $\infty$.

UDC: 532.546

Received: 14.04.2006

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