I. N. Golov, V. A. Ivanov, V. S. Sizikov
Saint-Petersburg State Institute of Fine Mechanics and Optics (Technical University)
The inverse gravimetry problem is treated as a problem of gravitational
tomography and intravision of the Earth. Geological deposits are modeled
by homogeneous spheroids. Formulae for the gravitational potential and
spheroid strength components are used. The problem of determining spheroid
parameters is formulated as that of functional minimization with
regularization and constraints on the solution. Results of numerical experiments
are given.