Ein mathematisches Modell für den 3D-Wärmetransport in hydrothermalen Reservoiren

Geothermal power is one of the most important renewable energy resources. This is as the Earth possesses an almost unlimited energy supply and the energy production via this resource is independent from external influences such as weather conditions. In order to guarantee an efficient production process, the occurring risks - starting with dry holes during the exploration of a reservoir - have to be assessed. In this context, a crucial point is the possible local depletion of a geothermal system regarding the temperature. This contribution deals with the prediction of the 3D heat transport in a deep hydrothermal reservoir consisting of a two-phase porous medium. The considered mathematical model is based on a transient advection-diffusion-equation. In addition to the solution theory for the resulting initial boundary value problem and the numerical approximation of the solution with the help of a Galerkin scheme, exemplary applications are discussed for a synthetic data set.