Modified Method S-, F- and R-Approximations in Solving Inverse Problems of Geophysics and Geomorphology
The connection of different modifications of the linear integral representation method is studied. Solutions of the related inverse problems based upon a «gibrid version of three approximations» of the topography and geopotential fields enable more refined tuning of the method in solving the inverse problems of geophysics and geomorphology and more complete interpretation for the a priori information about the surface elevation data and elements of anomalous fields. The technique for finding a stable approximate solution for the inverse problem of determining the mass distributions equivalent to the external gravitational (or any other potential) field is presented. The results of the mathematical experiment are discussed.
KeywordsRegularization Integral Representation Modified Optimal
- Strakhov, V.N and I.E. Stepanova (2002). The S-Approximation Method and Its Application to Gravity Problems. Izvestiya, Physics of the Solid Earth. (38)2, 91–107.Google Scholar
- Strakhov, V.N. and I.E. Stepanova (2002). Solution of Gravity Problems by the S-Approximation Method (Regional Version). Izvestiya, Physics of the Solid Earth. (38)7, 535–544.Google Scholar