RECOVERING OF THE RESERVOIR CONDUCTIVITY BY MEASUREMENTS ON THE SURFACE USING GPR DATA

Shishlenin M.A. Shakhatova A.T. Mirgalikyzy T.
2023 L.N. Gumilyov Eurasian National University

Eurasian Journal of Mathematical and Computer Applications
2023 #11 Issue 1 124 - 138 pp.

In this article we consider a mathematical model of interpretation of a geoelectric section based on georadar data. One of the reasons preventing the spread of GPR technologies is the complexity of data interpretation, which requires the involvement of highly qualified specialists. In this regard, the study of the mathematical model and comparison with real georadar data expands the possibilities of interpretation of the georadar. To test the algorithm for solving the inverse problem of determining the electrical conductivity of layered media, data from exploration wells of the Karaganda coal basin field were used. We assume that the medium is horizontally layered and the electromagnetic parameters of the medium depend only the depth. The problem of determining the conductivity is reduced to the problem of minimizing the cost functional by the gradient method. The gradient of the functional is calculated through the solution of the adjoint problem, the results of numerical calculations are given

coefficient inverse problems , electrodynamic , gradient method , horizontally layered medium , Maxwell’s equations

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Sobolev Institute of Mathematics, Siberian Branch of the Russian Academy of Sciences, Novosibirsk, Russian Federation
Institute of Computational Mathematics and Mathematical Geophysics, Siberian Branch of the Russian Academy of Sciences, Novosibirsk, Russian Federation
L.N.Gumilyev Eurasian National University, Astana, Kazakhstan

Sobolev Institute of Mathematics
Institute of Computational Mathematics and Mathematical Geophysics
L.N.Gumilyev Eurasian National University

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