In this paper we discuss the numerical analysis of an upscaled (core scale) model describing the transport, precipitation and dissolution of solutes in a porous medium. The particularity lies in the modeling of the reaction term, especially the dissolution term, which has a multivalued character. We consider the weak formulation for the upscaled equation and provide rigorous stability and convergence results for both the semi-discrete (time discretization) and the fully discrete scheme. In doing so, compactness arguments are employed.
Name | CASA-report |
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Volume | 1208 |
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ISSN (Print) | 0926-4507 |
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