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Biofilms in porous media: development of macroscopic transport equations via volume averaging with closure for local mass equilibrium conditions

Golfier, Fabrice and Wood, Brian D. and Orgogozo, Laurent and Quintard, Michel and Bues, Michel Biofilms in porous media: development of macroscopic transport equations via volume averaging with closure for local mass equilibrium conditions. (2009) Advances in Water Resources, 32. 463-485. ISSN 0309-1708

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Official URL: http://www.sciencedirect.com/science/article/pii/S030917080800211X

Abstract

In this work, we upscale a pore-scale description of mass transport in a porous medium containing biofilm to develop the relevant Darcy-scale equations. We begin with the pore-scale descriptions of mass transport, interphase mass transfer, and biologically-mediated reactions; these processes are then upscaled using the method of volume averaging to obtain the macroscale mass balance equations. We focus on the case of local mass equilibrium conditions where the averaged concentrations in the fluid and biological phases can be assumed to be proportional and for which a one-equation macroscopic model may be developed. We predict the effective dispersion tensor by a closure scheme that is solved for the cases of both simple and complex unit cells. The domain of validity of the approach is clearly identified, both theoretically and numerically, and unitless groupings indicating the domain of validity are reported.

Item Type:Article
Additional Information:Thanks to Elsevier editor. The definitive version and the original PDF are available at http://www.sciencedirect.com/science/article/pii/S030917080800211X
Audience (journal):International peer-reviewed journal
Uncontrolled Keywords:
Institution:French research institutions > Centre National de la Recherche Scientifique - CNRS (FRANCE)
Other partners > Institut National Polytechnique de Lorraine - INPL (FRANCE)
Université de Toulouse > Institut National Polytechnique de Toulouse - INPT (FRANCE)
Université de Toulouse > Université Toulouse III - Paul Sabatier - UPS (FRANCE)
Other partners > Oregon State University (USA)
Other partners > Université Henri Poincaré-Nancy1 - UHP (FRANCE)
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Deposited By: imft imft
Deposited On:19 Mar 2009 14:12

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