Approximation of the relief and calculation of top-corrections in the framework of the method of linear integral representations

Abstract

Linear problems of gravimetry and magnitometry were considered so far either as problems of finding solutions of linear integral equations or as problems of finding integral operators values. But in this case infinite-dimensional constructions appear, which are practically unimplemented. Problem statements adequate to real geophysical practice appear within the boundaries of linear integral concepts method which general methodology and constructive bases were elaborated by V. N. Strakhov. In this method finiteness and proximity of available information on the studied potential fields (gravity, magnetic, thermal et al.) and on lay of land are taken into account initially. Analytical approximations of the relief allow to produce digital models of the locality and to calculate with their help topographic corrections