Comparative assessment of continuum-scale models of bimolecular reactive transport in porous media under pre-asymptotic conditions

Journal of Contaminant Hydrology
G M PortaJ-F Thovert

Abstract

We compare the ability of various continuum-scale models to reproduce the key features of a transport setting associated with a bimolecular reaction taking place in the fluid phase and numerically simulated at the pore-scale level in a disordered porous medium. We start by considering a continuum-scale formulation which results from formal upscaling of this reactive transport process by means of volume averaging. The resulting (upscaled) continuum-scale system of equations includes nonlocal integro-differential terms and the effective parameters embedded in the model are quantified directly through computed pore-scale fluid velocity and pore space geometry attributes. The results obtained through this predictive model formulation are then compared against those provided by available effective continuum models which require calibration through parameter estimation. Our analysis considers two models recently proposed in the literature which are designed to embed incomplete mixing arising from the presence of fast reactions under advection-dominated transport conditions. We show that best estimates of the parameters of these two models heavily depend on the type of data employed for model calibration. Our upscaled nonlocal formula...Continue Reading

References

Mar 23, 2002·Insight·R WhitakerC Dill
Jul 6, 2010·Journal of Contaminant Hydrology·I Battiato, D M Tartakovsky
Jul 13, 2012·Journal of Contaminant Hydrology·Stéphanie Loyaux-LawniczakPhilippe Ackerer
Oct 4, 2012·Physical Review. E, Statistical, Nonlinear, and Soft Matter Physics·G M PortaP M Adler
Nov 20, 2012·Journal of Contaminant Hydrology·David L Hochstetler, Peter K Kitanidis
May 29, 2014·Environmental Science & Technology·Sergi MolinsCarl I Steefel
Mar 5, 2015·Environmental Science & Technology·Hannah P MenkeM J Blunt

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