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Pore-scale mass and reactant transport in multiphase porous media flows

Published online by Cambridge University Press:  30 September 2011

A. Parmigiani ,
C. Huber ,
O. Bachmann  and
B. Chopard
A. Parmigiani*
Affiliation:
Computer Science Department, University of Geneva, CH-1227 Carouge, Switzerland
C. Huber
Affiliation:
School of Earth and Atmospheric Sciences, Georgia Institute of Technology, GA 30332, USA
O. Bachmann
Affiliation:
Department of Earth and Space Sciences, University of Washington, WA 98195, USA
B. Chopard
Affiliation:
Computer Science Department, University of Geneva, CH-1227 Carouge, Switzerland
*
†Email address for correspondence: [email protected]
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Abstract

Reactive processes associated with multiphase flows play a significant role in mass transport in unsaturated porous media. For example, the effect of reactions on the solid matrix can affect the formation and stability of fingering instabilities associated with the invasion of a buoyant non-wetting fluid. In this study, we focus on the formation and stability of capillary channels of a buoyant non-wetting fluid (developed because of capillary instabilities) and their impact on the transport and distribution of a reactant in the porous medium. We use a combination of pore-scale numerical calculations based on a multiphase reactive lattice Boltzmann model (LBM) and scaling laws to quantify (i) the effect of dissolution on the preservation of capillary instabilities, (ii) the penetration depth of reaction beyond the dissolution/melting front, and (iii) the temporal and spatial distribution of dissolution/melting under different conditions (concentration of reactant in the non-wetting fluid, injection rate). Our results show that, even for tortuous non-wetting fluid channels, simple scaling laws assuming an axisymmetrical annular flow can explain (i) the exponential decay of reactant along capillary channels, (ii) the dependence of the penetration depth of reactant on a local Péclet number (using the non-wetting fluid velocity in the channel) and more qualitatively (iii) the importance of the melting/reaction efficiency on the stability of non-wetting fluid channels. Our numerical method allows us to study the feedbacks between the immiscible multiphase fluid flow and a dynamically evolving porous matrix (dissolution or melting) which is an essential component of reactive transport in porous media.

JFM classification

Multiphase and Particle-laden Flows: Multiphase flow Low-Reynolds-number flows: Porous media Phase change: Solidification/melting
Type
Papers
Information
Journal of Fluid Mechanics , Volume 686 , 10 November 2011 , pp. 40 - 76
Copyright
Copyright © Cambridge University Press 2011

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