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Finite element modelling of reactive mass transport problems in fluid-saturated porous media. (English) Zbl 0955.76053

Summary: We use the finite element method to solve reactive mass transport problems in fluid-saturated porous media. In particular, we discuss the mathematical expression for chemical reaction terms involved in the mass transport equations for an isothermal, non-equilibrium chemical reaction. It has turned out that the Arrhenius law in chemistry is a good mathematical expression for such non-equilibrium chemical reactions, especially from the computational point of view. Using the finite element method and the Arrhenius law, we investigate the distributions of PH (i.e. the concentration of \(H^+\)) and the relevant reactive species in a groundwater system. Although the main focus of this study is on the contaminant transport problems in groundwater systems, the related numerical techniques and principles are equally applicable to the orebody formation problems in the geosciences.

MSC:

76M10 Finite element methods applied to problems in fluid mechanics
76V05 Reaction effects in flows
76S05 Flows in porous media; filtration; seepage
86A05 Hydrology, hydrography, oceanography

Software:

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References:

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