Direct and Inverse Problems in Electromagnetic Sounding
of Three-Dimensional Heterogeneous Medium

V. I. Dmitriev

Faculty of Computational Mathematics and Cybernetics, Moscow State University, Moscow, 119991 Russia

e-mail: dmitriev@cs.msu.su

Received May 21, 2012

Abstract—The methods for solving three-dimensional (3D) direct and inverse problems of electromagnetic
sounding are considered. It is shown that the method of integral equations is an efficient instrument for mathe-
matical modeling of electromagnetic fields in 3D heterogeneous media. Adaptation of the integral equation
technique to the solution of inverse problems is demonstrated.

Keywords: electromagnetic sounding, mathematical modeling, method of integral equations, inverse problems

DOI: 10.1134/S1069351313030063

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