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

Authors :
Ahusborde, Etienne
Amaziane, Brahim
El Ossmani, Mustapha
Id Moulay, M
Laboratoire de Mathématiques et de leurs Applications [Pau] (LMAP)
Université de Pau et des Pays de l'Adour (UPPA)-Centre National de la Recherche Scientifique (CNRS)
Université Moulay Ismail (UMI)
Source :
Journal of Mathematical Study, Journal of Mathematical Study, Global Science Press, 2019, 52 (4), pp.359-377. ⟨10.4208/jms.v52n4.19.01⟩
Publication Year :
2019
Publisher :
HAL CCSD, 2019.

Abstract

International audience; 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 DuMu X. 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.

Details

Language :
English
ISSN :
10066837 and 26178702
Database :
OpenAIRE
Journal :
Journal of Mathematical Study, Journal of Mathematical Study, Global Science Press, 2019, 52 (4), pp.359-377. ⟨10.4208/jms.v52n4.19.01⟩
Accession number :
edsair.doi.dedup.....55da9e3f29459a477d4b501a2dc8aac6
Full Text :
https://doi.org/10.4208/jms.v52n4.19.01⟩