Abstract
A solution is found to the problem of planar pressureless steady filtration from a system of equidistance channels of the same thickness through a soil layer to a lower lying pressure level in the case of uniform infiltration (evaporation) to the free surface. The unique solvability of the system of equations for the two unknown transformation parameters is established. The filtration flow rate from a channel is investigated analytically as a function of the infiltration intensity and the magnitude of the backwater.
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C. N. Numerov, “On a method of solution of filtration problems in the presence of infiltration or evaporation of liquid from the free surface,” Izv. Vses. Nauchno-Issled. Inst. Gidrotekh.,38 (1948).
P. F. Byrd and M. D. Friedman, Handbook of Elliptic Integrals for Engineers and Physicists, Springer-Verlag, Berlin (1971).
S. N. Numerov, “Filtration from flumes of hydroelectric power plants and irrigation systems,” Izv. Vses. Nauchno-Issled. Inst. Gidrotekh.,34 (1947).
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Translated from Izvestiya Akademii Nauk SSSR, Mekhanika Zhidkosti i Gaza, No. 2, pp. 168–174, March–April, 1979.
I thank N. S. Kolodei for assistance in the calculations and the simulation.
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Émikh, V.N. Ground water regime in an irrigated soil layer with lower lying strongly permeable pressure level. Fluid Dyn 14, 301–306 (1979). https://doi.org/10.1007/BF01051677
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DOI: https://doi.org/10.1007/BF01051677