Abstract
The recent development of electrical exploration methods of the Earth's crust using artificial field sources stimulates mathematical modeling of three-dimensional electromagnetic fields in conducting media. The problem of computing the field of arbitrary sources in a horizontally stratified conducting medium has been fully solved, but the actual structure of the Earth's interior often does not fit this model. The attempts to examine a three-dimensional model of the medium lead to complex problems, whose numerical solution is so far only possible under highly restrictive assumptions on the size and the shape of the nonhomogeneities, etc. It is therefore relevant to consider quasi-three-dimensional problems, which determine the field t~l: a 3D source in a 2D-nonhomogeneous medium. In this paper, we solve this problem by the integral equation method. We consider a model of the Earth described by the following conductivity distribution:
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