Upscaling of Stochastic Micro Model for Suspension Transport in Porous Media

Micro scale population balance equations of suspension transport in porous media with several particle capture mechanisms are derived, taking into account the particle capture by accessible pores, that were cut off the flux due to pore plugging. The main purpose of the article is to prove that the m...

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Bibliographic Details
Published in:Transport in porous media 2008-12, Vol.75 (3), p.335-369
Main Author: Bedrikovetsky, P.
Format: Article
Language:English
Subjects:
Civil Engineering
Classical and Continuum Physics
Cut off
Earth and Environmental Science
Earth Sciences
Earth, ocean, space
Engineering and environment geology. Geothermics
Exact sciences and technology
Filtration
Geotechnical Engineering & Applied Earth Sciences
Hydrocarbons
Hydrogeology
Hydrology. Hydrogeology
Hydrology/Water Resources
Industrial Chemistry/Chemical Engineering
Mathematical models
Pollution, environment geology
Population balance models
Porous media
Sedimentary rocks
Transport
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Summary:Micro scale population balance equations of suspension transport in porous media with several particle capture mechanisms are derived, taking into account the particle capture by accessible pores, that were cut off the flux due to pore plugging. The main purpose of the article is to prove that the micro scale equations allow for exact upscaling (averaging) in case of filtration of mono dispersed suspensions. The averaged upper scale equations generalise the classical deep bed filtration model and its latter modifications.
ISSN:0169-3913
1573-1634
DOI:10.1007/s11242-008-9228-6