COMBINED APPROXIMATION METHODS FOR SOLVING THE PROBLEMS OF GRAVITY AND MAGNETIC PROSPECTING

  • I.A. Kerimov The Schmidt Institute of Physics of the Earth of the Russian Academy of Sciences, Russia, 123995 Moscow, B. Gruzinskaya Str., 10-1
  • I.E. Stepanova The Schmidt Institute of Physics of the Earth of the Russian Academy of Sciences, Russia, 123995 Moscow, B. Gruzinskaya Str., 10-1
  • D.N. Raevskiy The Schmidt Institute of Physics of the Earth of the Russian Academy of Sciences, Russia, 123995 Moscow, B. Gruzinskaya Str., 10-1
Keywords: approximation, regularization, combined methods, integral representations, error

Abstract

The article investigates the interrelation of various variants of the method of linear integral representations. Combined approximations of the relief and geopotential fields allow for a more subtle «tuning» of the method in solving the inverse problems of geophysics and geomorphology, and also take into account a priori information about altitude marks and elements of anomalous fields. A description of the procedure for finding the numerical solution of the inverse problem in the search for distributions of mass carriers equivalent in the external field is given. The results of a mathematical experiment are discussed.
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Published
2018-09-13
Issue
Vol 8 No 3 (2018): Geology and Geophysics of Russian South, 2018 No 3
Section
Articles