The paper describes methods for the three-dimensional interpretation of gravitational and magnetic anomalies, taking into account the relief of the Earth’s surface. Parallel algorithms for solving gravimetry and magnetometry forward problems (calculating field values from sources) are programmatically implemented for personal computers with graphics accelerators. Based on these algorithms, methods for solving inverse problems on correctness sets were developed. When modeling, sources of anomalies of arbitrary shape are approximated by a dense regular grid, the elements of which are parallelepipeds. Methods for identifying anomalies and localizing sources in the Earth’s crust, calculating their physical parameters were applied in modeling the structure of the Kraka ultrabasic massifs in the Southern Urals with an area 50 × 80 km2. The height of the mountain ranges in this area reaches 1043 m, and the difference in relief heights is more than 500 m.
Martyshko et al. (Fri,) studied this question.