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Numerical Modeling and Simulation of Fully Coupled Processes of Reactive Multiphase Flow in Porous Media
- 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.
- Subjects :
- Materials science
permeability-porosity changes
Multiphase flow
Numerical modeling
010103 numerical & computational mathematics
Mechanics
nonlinear degenerate system
reactive transport
fully implicit
01 natural sciences
Fully coupled
porous media
coupled PDE and ODE
fully coupled
[MATH.MATH-MP]Mathematics [math]/Mathematical Physics [math-ph]
Multiphase multicomponent flow
[PHYS.MECA.MEFL]Physics [physics]/Mechanics [physics]/Fluid mechanics [physics.class-ph]
0101 mathematics
Porous medium
AMS: 76S05, 65M08, 76T10, 74F25
finite volume
Subjects
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⟩