Mathematical Modeling of Geothermal Sources in the Earth's Crust

Abstract

In this paper we present some results from a mathematical modeling of particular geothermal fields caused by local volumetric distributions of sources in the earth's crust. Inverse solution of defining the regions occupied by thermal sources when the heat flow on the earth's surface is known is also treated. The inverse problem is unstable and special methods of regularization of the solution are offered. Mathematical modeling based on application of regularizing operators of any kind enables to obtain the shape and depth of the anomalous area. The more accurate measurements and more complete a priori information let us obtain more precise results. The technique described is applied to study of certain anomalous geothermal areas in the Black Sea and Bulgaria.