ABSTRACT: Geothermal systems are very complex. Apart from the Hydrogeologie systems, thesesystems include phase change and heat flow. Consequently, its very difficult to suggestvariation depend on the discharge and recharge relation in such a complex, system. Inthis stage, modeling approach is obtained very important role to put forward the futurestate of the system,. Many advances in simulating fluid flow and heat transport in porousmedia have recently been made parallel to geothermal energy research.. These modelsare used to verify and improve conceptual models of geothermal systems.. The main goalof the modeling of geothermal systems is to provide answers to* important problems aboutpotential of reservoir and injection effects. In this paper, a. summary of heat transportmodeling in geothermal systems presented and the governing equations for heat flowbriefly described