Abstract
In this work the numerical solution of a system of coupled partial differential and differential algebraic equations describing two-phase multicomponent flow, transport and chemical reactions is considered. An implicit finite volume scheme is used to descretize a two-phase two-component flow problem, which is then sequentially coupled to a reactive transport problem solved by a direct substitution approach (DSA). More precisely, we used firstly the module 2p2c implemented in the parallel open-source simulator DuMu\(^X\) to solve a two-phase two-component flow with two dominant species without chemistry. Secondly, the reactive transport is described by advection dispersion equations coupled to differential algebraic equations to deal with the minor species. Again an implicit finite volume method is used to discretize this subsystem using a DSA. In this context, we have developed and integrated a reactive transport module \(1pNc-react\) in the DuMu\(^X\) framework. Finally, numerical results for a highly complex geochemistry problem are presented to demonstrate the ability of our method to approximate solutions of two-phase flows with reactive transport in heterogeneous porous media.
Published Version
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