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Comment on “Frequency-dependent dispersion in porous media”

Davit, Yohan and Quintard, Michel Comment on “Frequency-dependent dispersion in porous media”. (2012) Physical Review E, 86 (1). 013201-1. ISSN 1539-3755

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Official URL: http://dx.doi.org/10.1103/PhysRevE.86.013201


In a recent paper, Valdès-Parada and Alvarez-Ramirez [ Phys. Rev. E 84 031201 (2011)] used the technique of volume averaging to derive a “frequency-dependent” dispersion tensor, Dγ*, the goal of which is to describe solute transport in porous media undergoing periodic processes. We describe two issues related to this dispersion tensor. First, we demonstrate that the definition of Dγ* is erroneous and derive a corrected version, Dγ*c. With this modification, the approach of Valdès-Parada and Alvarez-Ramirez becomes strictly equivalent to the one devised by Moyne [ Adv. Water Res. 20 63 (1997)]. Second, we show that the term “frequency-dependent dispersion” is misleading because Dγ* and Dγ*c do not depend on the process operating frequency, χ. The study carried out by Valdès-Parada and Alvarez-Ramirez represents a spectral analysis of the relaxation of Dγ* towards its steady-state, independent of any periodic operation or excitation.

Item Type:Article
Additional Information:Thanks to APS editor. The original publication is available at http://pre.aps.org/abstract/PRE/v86/i1/e013201
HAL Id:hal-00815751
Audience (journal):International peer-reviewed journal
Uncontrolled Keywords:
Institution:French research institutions > Centre National de la Recherche Scientifique - CNRS (FRANCE)
Université de Toulouse > Institut National Polytechnique de Toulouse - Toulouse INP (FRANCE)
Université de Toulouse > Université Toulouse III - Paul Sabatier - UT3 (FRANCE)
Other partners > University of Oxford (UNITED KINGDOM)
Laboratory name:
Deposited On:15 Apr 2013 14:09

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