About geophysical inverse problem from the point of view of strakhov's ideas

The approach of magnetotelluric sounding (MTS) inverse problems solving is considered in the aspect of V.N. Strakhov's ideas development and is based on solving of inverse geophysical problems without the corresponding forward problems solutions. For this aim it is sufficient to know mathematical operator which describes the corresponding field, including magnetotelluric impedance. The most important result of this approach is the possibility of inverse problems solving for anisotropic and bianisotropic models of the geological medium, while the usage of the method of solving inverse problems according to A.N. Tikhonov encounters difficulties in minimizing the residual functional due to an increase in the number of unknown electromagnetic parameters wanted to be determined, and leads to instability and ambiguity in the interpretation of MT-data. Riccati equations for magnetotelluric impedance and admittance (the most common linear electromagnetic properties of rocks and materials) for bianisotropic medium are obtained. Received results of numerical experiments confirm the possibility of applying V.N. Strakhov's ideas for MTS inverse problems solving. Further development of this approach is associated with the incorrect problems solving due to the presence of various kinds of experimental data noises.