On Determination of the Electrical Conductivity of a Local Inclusion of a Piecewise-Сonstant Isotropic Medium

Abstract

This work is a continuation of the authors’ research on solving inverse problems of mathematical geophysics in a linear formulation. Unlike previous works, where the solution was built on the basis of volumetric integral equations, boundary integral representations and emerging boundary integral equations are used here to solve the inverse coefficient problem of geoelectrics to find the constant electrical conductivity of a local isotropic inclusion, located in a piecewise-constant electrical conductivity isotropic enclosing medium.