An algorithm for solving an inverse geoelectrics problem based on the neural network approximation
M.I. Shimelevich1, E.A. Obornev1, I.E. Obornev2, E.A. Rodionov1
1Russian State Geological Prospecting University MGRI-RSGPU, Micluho-Maclaia, 23, Moscow, 117485
2Skobeltsyn Institute of Nuclear Physics, Leninskie gory, 1, s2, Moscow, 119991
Keywords: геоэлектрика, обратная задача, аппроксимация, априорные и апостериорные оценки, нейронные сети, geoelectrics, inverse problem, approximation, a priori and a posteriori estimates, neural networks
Abstract
The approximation neural network algorithm for solving the inverse geoelectrics problems in the class of grid (block) media models is presented. The algorithm is based on constructing an approximate inverse operator using neural networks and makes it possible to formally obtain solutions of the inverse geoelectrics problem with the total number of desired parameters of the medium ~ n 103. The correctness of the problem of constructing the neural network inverse operators is considered. A posteriori estimates of the degree of ambiguity of the inverse problem solutions are calculated. The operation of the algorithm is illustrated by examples of the 2D, the 3D inversions of synthesized and field geoelectric data, obtained by the MTS method.
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