Computer Simulation of Computational and Measurement Processing of Gravimetric Data

Abstract

The paper proposes the computational algorithm for solving the inverse problem of exploratory gravimetry, consisting in the separability of two isolated bodies that generate anomalies of the measured magnitude of the gravitational force. It is based on the use of the results of multi-level measurements of the gravitational field vertical component. The obtained data of gravity measurements at two levels are converted into numerical values of the gravitational field strength in directions (azimuths). It allows to solve the inverse localization problem for isolated inhomogeneities. This article presents a numerical method for solving the isolation problem. An algorithm for solving the problem of separability of bodies with excessive density is proposed, based on the method of finding the sum of the vectors of the gravitational field strength along the azimuths of the directions between points at two levels of gravity measurement. The vectors of balancing directions determined in this way give a qualitative solution to the inverse problem of separability of test bodies. The quantitative characteristics of inhomogeneities are refined by varying the position (geometric parameters) of the test bodies, as well as the densities of the host rocks and bodies that generate gravitational anomalies. Minimizing the norm of the residual functional of empirical data - the results of stratified measurements and calculated values of the gravitational force for varied data at the measurement levels gives a quasi - solution - the parameters of the optimal location of the test bodies of the assumed shape.