title: Mathematical modelling of the work of the system of wells in a layer with the exponential law of permeability variation and the mobile liquid interface
abstract: We construct and study a two-dimensional model of the work of the system of wells in a layer with the mobile boundary between liquids of various viscosity. We use a 'plunger' displacement model of liquids. The boundaries of the filtration region of these liquids are modelled by curves of the Lyapunov class. Unlike familiar work, we solve two-dimensonal problems in an inhomogeneous layer when the mobile boundary and the boundaries of the filtration region are modelled by curves of the Lyapunov class. We show the practical convergence of the numerical solution of the problems studied
keyphrases: mathematical modelling work exponential law permeability variation mobile liquid interface mobile boundary viscosity inhomogeneous layer convergence numerical solution 2D model well system plunger displacement model filtration region boundaries Lyapunov class curves