Ground water regime in an irrigated soil layer with lower lying strongly permeable pressure level

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.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.