Please use this identifier to cite or link to this item: http://hdl.handle.net/2440/61267
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dc.contributor.authorShapiro, A.en
dc.contributor.authorBedrikovetski, P.en
dc.date.issued2010en
dc.identifier.citationPhysica A, 2010; 389(13):2473-2494en
dc.identifier.issn0378-4371en
dc.identifier.issn1873-2119en
dc.identifier.urihttp://hdl.handle.net/2440/61267-
dc.description.abstractWe develop a stochastic theory for filtration of suspensions in porous media. The theory takes into account particle and pore size distributions, as well as the random character of the particle motion, which is described in the framework of the theory of continuous-time random walks (CTRW). In the limit of the infinitely many small walk steps we derive a system of governing equations for the evolution of the particle and pore size distributions. We consider the case of concentrated suspensions, where plugging the pores by particles may change porosity and other parameters of the porous medium. A procedure for averaging of the derived system of equations is developed for polydisperse suspensions with several distinctive particle sizes. A numerical method for solution of the flow equations is proposed. Sample calculations are applied to compare the roles of the particle size distribution and of the particle flight dispersion on the deposition profiles. It is demonstrated that the temporal flight dispersion is the most likely mechanism forming the experimentally observed hyperexponential character of the deposition profiles.en
dc.description.statementofresponsibilityA.A. Shapiro and P.G. Bedrikovetsky,en
dc.description.urihttp://www.elsevier.com/wps/find/journaldescription.cws_home/505702/description#descriptionen
dc.language.isoenen
dc.publisherElsevier Science BVen
dc.rightsCopyright © 2010 Elsevier B.V. All rights reserved.en
dc.subjectSuspension; Porous medium; Size distribution; Random walk; Dispersion; Filtrationen
dc.titleA stochastic theory for deep bed filtration accounting for dispersion and size distributionsen
dc.typeJournal articleen
dc.identifier.rmid0020096138en
dc.identifier.doi10.1016/j.physa.2010.02.049en
dc.identifier.pubid35278-
pubs.library.collectionAustralian School of Petroleum publicationsen
pubs.verification-statusVerifieden
pubs.publication-statusPublisheden
Appears in Collections:Australian School of Petroleum publications

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