INVESTIGATION OF MATHEMATICAL METHODS FOR SOLVING GRAVITY PROBLEM LOCALIZATION OF CAVITY

Search voids manmade and natural is becoming more urgent task at present. To monitor them to build a search en-gine voids the automated control system mining company. One of the main conditions is to build the model subsystem solution of integral equations of the first kind for a variety of geophysical fields, including gravity, as the most accessi-ble and universal field. Solution of integral equations of the first kind with the theory of ill-posed inverse problems, which is booming at the moment. By the authors propose a method for simplifying the process of solving multidimensional integral equations of the first kind by dividing the scalar field sources on the surface and volume. Error estimates calculate the coefficients of linear algebraic equation in the transition to a piecewise constant approximation of the density of surface sources.