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A boundary value problem on drainage at the edge of fresh ground water and its applications

Authors
Journal
Journal of Applied Mathematics and Mechanics
0021-8928
Publisher
Elsevier
Publication Date
Volume
60
Issue
3
Identifiers
DOI: 10.1016/s0021-8928(96)00062-7
Disciplines
  • Computer Science
  • Mathematics

Abstract

Abstract An algorithm for calculating the geometrical characteristics of an edge, including the position of its free boundaries, has been developed and implemented as a computer program based on a previously obtained [1, 2] analytic solution of the problem of filtration at the edge of drainage of fresh ground water which is above saline water. A straightforward sequence of calculations, with a preliminary determination of the conformal mappings, enabled a complete hydrodynamic analysis to be made of the flow at the edge with the interpretation of the drain as a water supply. Here, in each version of the numerical calculations, the optimal depth for laying the water supply is established which ensures its maximum possible productivity on the brink of destabilization of both free boundaries of the edge. Another application of this boundary-value problem is the calculation of the zone of demineralization of the soil layer which contained saline ground waters as a result of their replacement by fresh surface waters and drainage.

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