@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
