Volume 52, Issue 4
Numerical Modeling and Simulation of Fully Coupled Processes of Reactive Multiphase Flow in Porous Media

Etienne Ahusborde, Brahim Amaziane, Mustapha El Ossmani & Mohamed Id Moulay

J. Math. Study, 52 (2019), pp. 359-377.

Published online: 2019-12

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  • 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.

  • Keywords

Multiphase multicomponent flow, reactive transport, porous media, fully coupled, fully implicit, finite volume, nonlinear degenerate system, coupled PDE and ODE, permeability-porosity changes.

  • AMS Subject Headings

76S05, 65M08, 76T10, 74F25

  • Copyright

COPYRIGHT: © Global Science Press

  • Email address

etienne.ahusborde@univ-pau.fr (Etienne Ahusborde)

brahim.amaziane@univ-pau.fr (Brahim Amaziane)

m.elossmani@ensam.umi.ac.ma (Mustapha El Ossmani)

mohamed.id-moulay@univ-pau.fr (Mohamed Id Moulay)

  • BibTex
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@Article{JMS-52-359, author = {Etienne and Ahusborde and etienne.ahusborde@univ-pau.fr and 12519 and CNRS / Univ Pau and Pays Adour /E2S UPPA, Laboratoire de Mathématiques et de leurs Applications de Pau, CNRS / Univ Pau and Pays Adour, Fédération IPRA, UMR5142, 64000, Pau, France and Etienne Ahusborde and Brahim and Amaziane and brahim.amaziane@univ-pau.fr and 5880 and CNRS / Univ Pau and Pays Adour /E2S UPPA, Laboratoire de Mathématiques et de leurs Applications de Pau, Fédération IPRA, UMR5142, 64000, Pau, France and Brahim Amaziane and Mustapha and El Ossmani and m.elossmani@ensam.umi.ac.ma and 5881 and University Moulay Ismaïl, EMMACS-ENSAM, Marjane II, 50000 Meknès, Morocco and Mustapha El Ossmani and Mohamed and Id Moulay and mohamed.id-moulay@univ-pau.fr and 5882 and CNRS / Univ Pau and Pays Adour /E2S UPPA, Laboratoire de Mathématiques et de leurs Applications de Pau, Fédération IPRA, UMR5142, 64000, Pau, France and Mohamed Id Moulay}, title = {Numerical Modeling and Simulation of Fully Coupled Processes of Reactive Multiphase Flow in Porous Media}, journal = {Journal of Mathematical Study}, year = {2019}, volume = {52}, number = {4}, pages = {359--377}, 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.

}, issn = {2617-8702}, doi = {https://doi.org/10.4208/jms.v52n4.19.01}, url = {http://global-sci.org/intro/article_detail/jms/13462.html} }
TY - JOUR T1 - Numerical Modeling and Simulation of Fully Coupled Processes of Reactive Multiphase Flow in Porous Media AU - Ahusborde , Etienne AU - Amaziane , Brahim AU - El Ossmani , Mustapha AU - Id Moulay , Mohamed JO - Journal of Mathematical Study VL - 4 SP - 359 EP - 377 PY - 2019 DA - 2019/12 SN - 52 DO - http://doi.org/10.4208/jms.v52n4.19.01 UR - https://global-sci.org/intro/article_detail/jms/13462.html KW - Multiphase multicomponent flow, reactive transport, porous media, fully coupled, fully implicit, finite volume, nonlinear degenerate system, coupled PDE and ODE, permeability-porosity changes. AB -

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.

Etienne Ahusborde, Brahim Amaziane, Mustapha El Ossmani & Mohamed Id Moulay. (2019). Numerical Modeling and Simulation of Fully Coupled Processes of Reactive Multiphase Flow in Porous Media. Journal of Mathematical Study. 52 (4). 359-377. doi:10.4208/jms.v52n4.19.01
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