Mathematical model operation of an electric field in the nonuniform mediums at intubation by a direct current

Abstract

Problems of electroinvestigation are solved for determination of parameters of geophysical structures due to comparison of results of the taken measurements of particular type of physical fields with results of their model operation. If application of electromagnetic fields takes place, then mathematical problem definition consists in searching of coefficients of Maxwell’s equations and is the inverse task. In this work are considered a problem of restitution of electromagnetic parameters of the nonuniform mediums, by results of intubation by a direct current. The modelled fields are described by the system of difkferentsialny Maxwell’s equations. Tasks are considered in a 3-dimensional approximation. The purpose of work is the solution of a direct task, creation of a program complex for electroinvestigation problem solving and also development of a unique algorithm for the solution of the inverse task, but a basis of a program complex for the solution of a direct task. In work the original algorithm of the solution of the inverse problem of electroinvestigation is constructed by a direct current. For the solution of a direct task the finite element method was used. On the basis of the solution of a direct task the algorithm of searching of electrophysical properties of the nonuniform mediums is developed. For the solution of this task the heuristic algorithm allowing to reduce first of all time of searching of the decision was used. When testing of the developed algorithm it was noted that accuracy of results also is acceptable.