Numerical Modeling and Simulation of Fully Coupled Processes of Reactive Multiphase Flow in Porous Media

Journal of Mathematical Study
Vol. 52 No. 4 (2019), pp. 359-377
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Author(s)
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1 CNRS / Univ Pau & Pays Adour /E2S UPPA, Laboratoire de Mathématiques et de leurs Applications de Pau, CNRS / Univ Pau & Pays Adour, Fédération IPRA, UMR5142, 64000, Pau, France
2 CNRS / Univ Pau & Pays Adour /E2S UPPA, Laboratoire de Mathématiques et de leurs Applications de Pau, Fédération IPRA, UMR5142, 64000, Pau, France
3 University Moulay Ismaïl, EMMACS-ENSAM, Marjane II, 50000 Meknès, Morocco
Abstract

In this paper, we consider a finite volume approach for modelling multiphase flow coupled to geochemistry in porous media. Reactive multiphase flows are modelled by a highly nonlinear system of degenerate partial differential equations coupled with algebraic and ordinary differential equations. We propose a fully implicit scheme using a direct substitution approach (DSA) implemented in the framework of the parallel open-source platform DuMuX. We focus on the particular case where porosity changes due to mineral dissolution/precipitation are taken into account. This alteration of the porosity can have significant effects on the permeability and the tortuosity. The accuracy and effectiveness of the implementation of permeability/porosity and tortuosity/porosity relationships related to mineral dissolution/precipitation for single-phase and two-phase flows are demonstrated through numerical simulations.

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