Solution of the Inverse Problem of Gravity Exploration for 2D Prismatic Bodies by the Statistical Tests Method

Abstract

An algorithm for solving a nonlinear inverse problem of gravity exploration for a monogenic anomaly caused by a 2D prism, based on the method of statistical tests (Monte Carlo), is presented. It uses the generation of random multidimensional vectors of rectangular coordinates of the corner points of the model. The difference between the observed and model fields is estimated in the Euclidean and Chebyshev metrics. The algorithm was developed for the purpose of teaching students and implemented in the PODBOR_ST program, which is used in the process of laboratory work. Model and practical examples of the interpretation of gravity anomalies are given. In the latter case, a guaranteed approach is implemented.

Keywords

• гравиразведка
• обратная задача
• алгоритм
• случайные числа
• модель
• невязка
• гарантированный подход