A numerical algorithm for solving the inverse problem of determining the low permeability zone

Abstract

The inverse problem of reconstructing the boundaries of low permeability zones of the reservoir for pressure measurements in wells. Formulation of the problem is investigated and the pressure distribution within the layer when the pressure does not change across the layer, using the theory of solving boundary value problems for elliptic equations, the problem is reduced to the integral equation. An iterative algorithm for solving the problem, computational calculations performed for model problems.