Conditional model for sorption in porous media with fractal properties

Klimenko, A. Y., Saulov, D. N., Massarotto, P. and Rudolph, V. (2012) Conditional model for sorption in porous media with fractal properties. Transport in Porous Media, 92 3: 745-765. doi:10.1007/s11242-011-9931-6

Author Klimenko, A. Y.
Saulov, D. N.
Massarotto, P.
Rudolph, V.
Title Conditional model for sorption in porous media with fractal properties
Journal name Transport in Porous Media   Check publisher's open access policy
ISSN 0169-3913
Publication date 2012-04
Year available 2011
Sub-type Article (original research)
DOI 10.1007/s11242-011-9931-6
Volume 92
Issue 3
Start page 745
End page 765
Total pages 21
Place of publication Dordrecht, Netherlands
Publisher Springer
Collection year 2013
Language eng
Formatted abstract
In this study, the conditional moment closure approach, which is proven to be very useful for modelling of reactions in turbulent flows, is extended to characterise adsorbing, desorbing or reacting flows in porous media. A complete specification of the porous distance conditioned moment closure model, which is formulated in terms of single-conditioned expectations, is presented. The closure of the model equations is obtained assuming the diffusion approximation for fluxes of the reactive species. The model simulates complex multi-cascade processes of convective and diffusive transport of species between pores in a continuous and consistent manner and is a generalisation of dual (or triple) porosity concept. The model addresses the major difficulty of describing transport, entrapment and sorption processes in porous media with fractal properties, where distant transport occurs in the largest pores or fractures, while the adsorbing or desorbing surface is mainly allocated in small pores. The model is able to simulate various regimes of methane replacement by CO2 in a coal sample, which makes it useful for optimising the design and parameters of enhanced coal bed methane recovery operations. It is demonstrated that the power-low decrease in downstream methane concentration, which has been observed experimentally, can be accurately reproduced by the model.
Keyword Conditional moment closure
Fractal properties
Q-Index Code C1
Q-Index Status Confirmed Code
Institutional Status UQ
Additional Notes © Springer Science+Business Media B.V. 2011

Document type: Journal Article
Sub-type: Article (original research)
Collections: School of Mechanical & Mining Engineering Publications
School of Chemical Engineering Publications
Official 2013 Collection
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Created: Tue, 20 Mar 2012, 12:42:58 EST by Katie Gollschewski on behalf of School of Mechanical and Mining Engineering