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Russian Academy of Sciences
in January 1936
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IssuesArchive of Issues2013-5pp.508-518

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E.N. Bereslavskii, "On the use of equations of the Fuchs class to calculate seepage from channels and irrigation ditches," J. Appl. Math. Mech. 77 (5), 508-518 (2013)
Year 2013 Volume 77 Issue 5 Pages 508-518
Title On the use of equations of the Fuchs class to calculate seepage from channels and irrigation ditches
Author(s) E.N. Bereslavskii (St Petersburg, Russia,
Abstract Several schemes for seepage flows from the channels and ditches of irrigation systems through a layer of soil underlaid by a highly permeable artesian water-bearing table or an impermeable foundation are considered within the framework of the theory of the plane steady seepage of an incompressible liquid oblying to Darcy's law. Mixed multiparameter boundary value problems of the theory of analytic functions are formulated for their investigation, which are solved using Polubarinova-Kochina's method and integration of differential equations of the Fuchs class that are characteristic in problems of subterranean hydromechanics. On the basis of these models, algorithms are developed for calculating the dimensions of the saturation zone in cases when, in the seepage of water from channels and irrigation ditches, there is a need to estimate the combined effect on the pattern of motion of such important factors as the backwater from the underlying artesian water table or confining bed, the soil capillarity and the evaporation of ground waters from the free surface. The results of the calculations for all the flow schemes are compared for identical seepage characteristics.
Received 15 May 2012
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