Cooperative Approach to Solving Inverse Problems in Integral Geophysics (Theoretical Aspects)

Abstract

The paper deals with theoretical aspects of the cooperative inverse problems in geophysics. It is proved that cooperative simultaneous inversion of data for different geophysical methods allow one to extend the uniqueness and stability domain with respect to the separate inversion. It is also shown that the cooperative inversion brings about the increase of the accuracy of the solution and its noise stability. There is proposed a constructive algorithm for solving the cooperative problems based on the complex approach using the minimization of the certain integral specific functional. The cooperative inversion for seismic and gravimetric data is discussed in detail. It is noted that uniqueness for cooperative inversion arises regardless of the uniqueness of inversion for both seismic and gravimetric data for 3-D inhomogeneous media.