Interpretation of the inverse gravimetry problem as a problem of gravitational tomography and intravision of the earth

摘要

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.