This article is cited in 3 papers

Brief communications

Modeling of the base of a hydraulic structure with constant flow velocity sections and a curvilinear confining layer

È. N. Bereslavskii, L. A. Aleksandrova

Saint-Petersburg State University of Civil Aviation

Abstract: We construct the underground contour of a rectangular subsurface dam, whose corners are rounded in accordance with curves of constant filtration velocity and whose water-permeable base is underlain by a curvilinear confining layer. The latter is assumed to have a horizontal part, while the rest sections are assumed to have a constant flow velocity. We obtain an analytic solution of the corresponding mixed problem of the theory of analytic functions. We adduce results of numerical tests and consider the limit case studied earlier by P. Ya. Polubarinova-Kochina and I. N. Kochina.

Keywords: filtration, groundwater, dam, velocity hodograph, conformal mappings.

UDC: 532.546

Received: 08.05.2008

 English version: Russian Mathematics (Izvestiya VUZ. Matematika), 2009, 53:3, 61–66

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