Quasi-One-Dimensional Method for Solving
the Inverse Magnetotelluric Problem

N. I. Berezina, V. I. Dmitriev, and N. A. Merschikova

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

e-mail: dmitriev@cs.msu.su

Received May 21, 2012

Abstract—We consider the iterative numerical method for solving two-dimensional (2D) inverse problems of
magnetotelluric sounding, which significantly reduces the computational burden of the inverse problem solu-
tion in the class of quasi-layered models. The idea of the method is to replace the operator of the direct 2D prob-
lem of calculating the low-frequency electromagnetic field in a quasi-layered medium by a quasi-one dimen-
sional operator at each observation point. The method is applicable for solving the inverse problems of magne-
totellurics with either the E- and H-polarized fields and in the case when the inverse problem is simultaneously
solved using the impedance values for the fields with both polarizations. We describe the numerical method and
present the examples of its application to the numerical solution of a number of model inverse problems of mag-
netotelluric sounding.

Keywords: electromagnetic soundings, inverse problems, magnetotellurics

DOI: 10.1134/S106935131303004X

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