@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} }