On Filtration in Some Problems of Underground Hydrodynamics

Simulation of filtration flows under the Zhukovskii sheet pile through a soil mass underlain by an impermeable base or by a highly permeable pressure aquifer was carried out using two schemes within the framework of the theory of flat steady-state filtration of an incompressible fluid according to Darcy's law. The influence of evaporation or infiltration on the free surface of ground water was studied based on solving mixed boundary-value problems of the theory of analytical functions using the Polubarinova-Kochina method. Algorithms have been developed for calculating the saturated zone of soil in the case of water moving in it is determined by the backing of the soil from its impermeable base or the underlying well-permeable aquifer, evaporation or infiltration on the free surface of ground water and by soil capillarity.