CALCULATION ALGORITHM OF THE ELECTRIC FIELD BY THE METHOD OF INTEGRAL EQUATIONS IN A CONDUCTING MEDIUM WITH 3D LOCAL IN HOMOGENEITY AND NON-PLANAR RELIEF

This paper is devoted to the development and testing of modeling of electrical resistivity tomography for a 3D medium with the ground surface relief and immersed inhomogeneity. The direct problem is solved by the method of integral equations. The paper presents a mathematical model, a numerical algorithm for solving system of the integral equations for the relief medium containing a 3D local inclusion and the results of testing this algorithm by comparing it with the results obtained by the finite element method. The commercial universal program COMSOL Multiphysics is used to model the electric field by the finite element method. Testing results showed that the application of the method of integral equations in solving geophysical problems does not require large computing resources. The method of integral equations is the most accurate and fastest method.

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