Comment on “Frequency-dependent dispersion in porous media”

Handle URI:
http://hdl.handle.net/10754/597802
Title:
Comment on “Frequency-dependent dispersion in porous media”
Authors:
Davit, Yohan; Quintard, Michel
Abstract:
In a recent paper, Valdès-Parada and Alvarez-Ramirez 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. 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. © 2012 American Physical Society.
Citation:
Davit Y, Quintard M (2012) Comment on “Frequency-dependent dispersion in porous media.” Phys Rev E 86. Available: http://dx.doi.org/10.1103/PhysRevE.86.013201.
Publisher:
American Physical Society (APS)
Journal:
Physical Review E
KAUST Grant Number:
KUK-C1-013-04
Issue Date:
10-Jul-2012
DOI:
10.1103/PhysRevE.86.013201
PubMed ID:
23005479
Type:
Article
ISSN:
1539-3755; 1550-2376
Sponsors:
The authors would like to acknowledge the many valuable suggestions made by Helen Byrne. This publication was based on work supported in part by Award No. KUK-C1-013-04 made by King Abdullah University of Science and Technology (KAUST).
Appears in Collections:
Publications Acknowledging KAUST Support

Full metadata record

DC FieldValue Language
dc.contributor.authorDavit, Yohanen
dc.contributor.authorQuintard, Michelen
dc.date.accessioned2016-02-25T12:56:58Zen
dc.date.available2016-02-25T12:56:58Zen
dc.date.issued2012-07-10en
dc.identifier.citationDavit Y, Quintard M (2012) Comment on “Frequency-dependent dispersion in porous media.” Phys Rev E 86. Available: http://dx.doi.org/10.1103/PhysRevE.86.013201.en
dc.identifier.issn1539-3755en
dc.identifier.issn1550-2376en
dc.identifier.pmid23005479en
dc.identifier.doi10.1103/PhysRevE.86.013201en
dc.identifier.urihttp://hdl.handle.net/10754/597802en
dc.description.abstractIn a recent paper, Valdès-Parada and Alvarez-Ramirez 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. 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. © 2012 American Physical Society.en
dc.description.sponsorshipThe authors would like to acknowledge the many valuable suggestions made by Helen Byrne. This publication was based on work supported in part by Award No. KUK-C1-013-04 made by King Abdullah University of Science and Technology (KAUST).en
dc.publisherAmerican Physical Society (APS)en
dc.titleComment on “Frequency-dependent dispersion in porous media”en
dc.typeArticleen
dc.identifier.journalPhysical Review Een
dc.contributor.institutionUniversity of Oxford, Oxford, United Kingdomen
dc.contributor.institutionUniversite de Toulouse, Toulouse, Franceen
dc.contributor.institutionIMFT Institut de Mecaniques des Fluides, Toulouse, Franceen
kaust.grant.numberKUK-C1-013-04en

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