Application of the Method of Limiting Complex Potentials to Solve Problems of the Theory of Filtration in a Two-Layer Medium.

Plane steady-state filtration in a two-layer medium is considered. Filtration coefficient of the bottom layer is varied and boundary conditions at the interface are investigated for the complex filtration potential in the top layer. Limiting potentials for the top and bottom layers are sought. An approximate analytical method is proposed for constructing the unknown filtration potentials by means of the limiting potentials found. Numerical examples are presented and error evaluation is made.