Permeability of a porous medium: Electrical and diffusional estimators

Y. Achdou, Marco 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
Volume147
ISBN (Print)0791811018
StatePublished - 1992
EventWinter Annual Meeting of the American Society of Mechanical Engineers - Anaheim, CA, USA
Duration: Nov 8 1992Nov 13 1992

Other

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

Fingerprint

Pore size
Porous materials
Hydrodynamics

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 (Vol. 147, pp. 115-122). Publ by ASME.

Permeability of a porous medium : Electrical and diffusional estimators. / Achdou, Y.; Avellaneda, Marco.

Macroscopic Behavior of Heterogeneous Materials From the Microstructure. Vol. 147 Publ by ASME, 1992. p. 115-122.

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

Achdou, Y & Avellaneda, M 1992, Permeability of a porous medium: Electrical and diffusional estimators. in Macroscopic Behavior of Heterogeneous Materials From the Microstructure. vol. 147, Publ by ASME, pp. 115-122, Winter Annual Meeting of the American Society of Mechanical Engineers, Anaheim, CA, USA, 11/8/92.
Achdou Y, Avellaneda M. Permeability of a porous medium: Electrical and diffusional estimators. In Macroscopic Behavior of Heterogeneous Materials From the Microstructure. Vol. 147. Publ by ASME. 1992. p. 115-122
Achdou, Y. ; Avellaneda, Marco. / Permeability of a porous medium : Electrical and diffusional estimators. Macroscopic Behavior of Heterogeneous Materials From the Microstructure. Vol. 147 Publ by ASME, 1992. pp. 115-122
@inproceedings{0a3e6d42ec3a46b899edf5e9d4c825f1,
title = "Permeability of a porous medium: Electrical and diffusional estimators",
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.",
author = "Y. Achdou and Marco Avellaneda",
year = "1992",
language = "English (US)",
isbn = "0791811018",
volume = "147",
pages = "115--122",
booktitle = "Macroscopic Behavior of Heterogeneous Materials From the Microstructure",
publisher = "Publ by ASME",

}

TY - GEN

T1 - Permeability of a porous medium

T2 - Electrical and diffusional estimators

AU - Achdou, Y.

AU - Avellaneda, Marco

PY - 1992

Y1 - 1992

N2 - 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.

AB - 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.

UR - http://www.scopus.com/inward/record.url?scp=0026985366&partnerID=8YFLogxK

UR - http://www.scopus.com/inward/citedby.url?scp=0026985366&partnerID=8YFLogxK

M3 - Conference contribution

AN - SCOPUS:0026985366

SN - 0791811018

VL - 147

SP - 115

EP - 122

BT - Macroscopic Behavior of Heterogeneous Materials From the Microstructure

PB - Publ by ASME

ER -