An approach to the approximation of gravity data inversion in the class ofcontact surfaces

The gravity data inversion problem is solved in the class of contact surfac es using a parametric geological model. Each surface is described by an ana lytic formula with a small number of parameters. An excess mass density can be a nonlinear function of coordinates. The problem is reduced to the mini mization of specially constructed functionals whose characteristic features are described. If reference points are specified at the sought surface. a regularizing term can be introduced into the functional. The procedure of c onstructing the first approximation of the model is presented. If boundary conditions are formulated for each model parameter, the target function can be calculated along a given direction. The functionals have a complex ravi ne structure and are minimized by methods described earlier. Two examples o f the solution of inverse problems are presented.