### Abstract

The effective hydrodynamic radius (L) of a porous medium is defined by the relation L = √8Fk_{dc}, where F is the formation factor and k_{dc} is the dc permeability. Two approximations of this fundamental length are discussed: the diffusional estimate L≈√8DT_{1} (Avellaneda and Torquato) and the electrical estimate L≈Λ (Johnson et al.). A new simple proof of the universally valid upper bound L≤√8DT_{1} 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 language | English (US) |
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Title of host publication | Macroscopic Behavior of Heterogeneous Materials From the Microstructure |

Publisher | Publ by ASME |

Pages | 115-122 |

Number of pages | 8 |

Volume | 147 |

ISBN (Print) | 0791811018 |

State | Published - 1992 |

Event | Winter Annual Meeting of the American Society of Mechanical Engineers - Anaheim, CA, USA Duration: Nov 8 1992 → Nov 13 1992 |

### Other

Other | Winter Annual Meeting of the American Society of Mechanical Engineers |
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City | Anaheim, CA, USA |

Period | 11/8/92 → 11/13/92 |

### Fingerprint

### ASJC Scopus subject areas

- Mechanical Engineering

### Cite this

*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.

Research output: Chapter in Book/Report/Conference proceeding › Conference contribution

*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.

}

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 -