Modelling Mathematical Background and Simulation of a waste-disposal for radioactive contaminants in a salt-dome
7/6/04, 4:00 p.m. – 5:30 p.m.
Dr. Jürgen Geiser, Institute of Computer Science, Universität Heidelberg
Our model is based on a potential waste-scenario fora disposal of radioactive contaminants transportedwith groundwater in porous media.The underlying equations are a system ofconvection-diffusion-reaction-equation coupled with thereaction-term. We present a solution method,based on the Operator-Splitting-method, to decouple themulti-physical and multi-dimensional processesin simple physical and one-dimensional processes.These simpler equations are discretised with analyticaland numerical methods. A new discretisation-method withembedded analytical solutions is introduced.We realise the discretisation and solver methods in theprogram-tool R3T (radionuclide-reaction-retardation-transport),which was based on the $UG$ (unstructed grid) software-toolbox.Numerical benchmark-problems are used to verify the new method.The realistic applications of a waste-disposal ispresented with different 2d and 3d transport and reactioncomputations. Different locations for the waste-disposalof the overlying rock present the usability of the disposals.The massive parallel computations are presented with thecomparison of uniform and adaptive computations.Finally we propose the further works.