Permeability of a porous medium: Electrical and diffusional estimators

Y. Achdou, M. Avellaneda

Research output: Chapter in Book/Report/Conference proceedingConference contribution

Abstract

The effective hydrodynamic radius (L) of a porous medium is defined by the relation L = √8Fkdc, where F is the formation factor and kdc is the dc permeability. Two approximations of this fundamental length are discussed: the diffusional estimate L≈√8DT1 (Avellaneda and Torquato) and the electrical estimate L≈Λ (Johnson et al.). A new simple proof of the universally valid upper bound L≤√8DT1 is given. A comparison of Λ, L and the Kozeny Carman volume-to-surface ratio is made for a class of `corrugated' capillaries, in which several relevant geometric parameters are varied. Finally, we examine the merits of both estimators on microgeometries with a wide distribution of pore sizes.

Original languageEnglish (US)
Title of host publicationMacroscopic Behavior of Heterogeneous Materials From the Microstructure
PublisherPubl by ASME
Pages115-122
Number of pages8
ISBN (Print)0791811018
StatePublished - Dec 1 1992
EventWinter Annual Meeting of the American Society of Mechanical Engineers - Anaheim, CA, USA
Duration: Nov 8 1992Nov 13 1992

Publication series

NameAmerican Society of Mechanical Engineers, Applied Mechanics Division, AMD
Volume147
ISSN (Print)0160-8835

Other

OtherWinter Annual Meeting of the American Society of Mechanical Engineers
CityAnaheim, CA, USA
Period11/8/9211/13/92

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ASJC Scopus subject areas

  • Mechanical Engineering

Cite this

Achdou, Y., & Avellaneda, M. (1992). Permeability of a porous medium: Electrical and diffusional estimators. In Macroscopic Behavior of Heterogeneous Materials From the Microstructure (pp. 115-122). (American Society of Mechanical Engineers, Applied Mechanics Division, AMD; Vol. 147). Publ by ASME.