Modelling, Mathematical Background and Simulation of a waste-disposal for radioactive contaminants in a salt-dome
Our model is based on a potential waste-scenario for
a disposal of radioactive contaminants transported
with groundwater in porous media.
The underlying equations are a system of
convection-diffusion-reaction-equation coupled with the
reaction-term. We present a solution method,
based on the Operator-Splitting-method, to decouple the
multi-physical and multi-dimensional processes
in simple physical and one-dimensional processes.
These simpler equations are discretised with analytical
and numerical methods. A new discretisation-method with
embedded analytical solutions is introduced.
We realise the discretisation and solver methods in the
program-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 is
presented with different 2d and 3d transport and reaction
computations. Different locations for the waste-disposal
of the overlying rock present the usability of the disposals.
The massive parallel computations are presented with the
comparison of uniform and adaptive computations.
Finally we propose the further works.