Groundwater and geothermal anomalies due to a prolate spheroid

Abstract

We present an exact analytical solution  of the two potential problems which can help to understand heat  flow and  groundwater flow in some deep elongated geother- mal  resources.  The thermal conductivity and  diffusivity coefficients of the spheroid  and surrounding medium  are  different. The solutions are  expressed in terms  of the spherical functions of the first and second kinds.  The results of numerical calculations are presented for the half-spheroidal body  at the surface of the Earth.