On numerical simulation of the fluid flow in a dual-completion water-bearing system

The motion of an incompressible fluid in a one-dimensional water-bearing stratum is considered in the presence of a pressure communication with the underlying stratum. The hydraulic pressure head in the lower stratum is considered to be unknown. The question of modeling the process is reduced to solving the inverse problem of reconstructing the right-hand side of differential equations of the fluid motion. A finite-difference analog of the inverse problem is constructed and a computational algorithm for solving the resulting system of finite-difference equations is proposed.