обернена задача

Algorithms for the mathematical modeling of the direct current electrical prospecting in the 3D complex boundary geomedia are presented. Methods of normalization VES data for the interpretation accounting any surface relief are suggested. Effective algorithms of the direct problem solution for a horizontal layered halfspace are chosen. On the basis of the above the software for electrical prospecting modeling and VES data interpretation is developed.

In the paper the implementation of energy wave field analysis approach for developed informational model of the geological medium is considered. The solutions of seismic inverse problem are presented, which involves geophysical parameters obtaining of geological medium with the use of field seismic data. In order to obtain geological and geophysical environmental parameters the number of wave field transformations are being carried out, conventionally divided into primary and final part (interpretation).

Purpose. The aim of the research is to develop a methodology for determining local earthquake mechanisms which are registered by a limited number of stations, using real records. Methodology. Methods of the inverse problem solving for determining earthquake parameters are based on the results obtained by direct problem of seismic wave propagation in an anisotropic media using the method of Thomson-Haskell.

Mathematical formulations of specific geophysical problems are usually reduced to determination of coefficients in the equations of mathematical physics, comprising a formulation. In the groove of the fact, the solution of the Alexidze problem in the form of non-linear integral equation has been reduced to linear combination of desired solutions. Then, the resulting problem was reduced to a classical problem of variational calculation.

In the absence of a priori information about the geological structure of study area the structural nonlinear inverse problem (IP) is incorrect and its solution is ambiguous and even physically nonsense or difficult to interpretation. Therefore it is possible to use a space-fixed multilayered model of linear IP with horizontal strata which are composed of quite a large number of blocks in the boxes form (400 to 2500) and to solve the linear IP relative to anomalous density (AD) or the intensity of magnetization (IM) of each block.