GEOPHYSICAL RESEARCH, 2016, vol.17, no.1, pp.56-64.

Abstract  References  Full text (in Russian)

UDC 550.83

SOME ASPECTS OF THE INVERSE PROBLEM OF GRAVIMETRY SOLVED IN COMPUTER TECHNOLOGY GRANM

©2016  Z.Z. Arsanukaev

Schmidt Institute of Physics of the Earth, Russian Academy of Sciences, Moscow, Russia

Abstract. The influence of geometry of perturbing bodies surface on the results of solution of the inverse problem of gravimetry is studied within the framework of approach based on the direct (analytical) continuation of values of an abnormal gravitational field given at the Earth’s surface to the bottom semi-space by the solution of systems of the linear algebraic equations (SLAE) of the large orders. Reduction of continuous problem of analytical continuation of field values to discrete problem with compilation and solution of SLAE consists in a number of substitutions: continuous space is replaced by the grid, continuous differential Laplace operator, by second differences, analytical functions describing field values and boundary conditions, by grid functions.

To evaluate the accuracy of field values obtained as a result of analytical continuation problem, the special procedure was developed. It is based on the analysis of the results on model examples. The results of model calculations are demonstrated for vertical layer and anticlinal uplift, the results of problem solution with the use of real data are also shown.

Keywords differential Laplace operator, analytical continuation, a package of computer programs GrAnM, systems of linear algebraic equations.

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