Algorithm for numerical solving of one-dimensional inverse magnetotelluric sounding problem
S.N. Sklyar1, O.B. Zabinyakova1,2
1American University of Central Asia, Bishkek, Kyrgyzstan
2Federal State Budgetary Institution of Science Scientific Station of the Russian Academy of Sciences, Bishkek, Kyrgyzstan
Keywords: magnetotelluric impedance, one-dimensional inverse problem, numerical solution, pseudo-quadratic equation
Abstract
The paper considers an algorithm for numerical solving of a one-dimensional inverse magnetotelluric sounding problem. The algorithm is based on a special type of algebraic equation which is called a pseudo-quadratic equation. The inverse problem is considered in three variants: 1) for media with fixed geometry; 2) for media with fixed geoelectrical properties; 3) general case. Additionally, an algorithm is proposed for input data processing which provides the existence of a solution to the inverse problem. Numerical experiments realized on test media with different sets of parameters are carried out to study and illustrate the efficiency of the proposed algorithms.
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