@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 M. Avellaneda",

year = "1992",

language = "English (US)",

isbn = "0791811018",

series = "American Society of Mechanical Engineers, Applied Mechanics Division, AMD",

publisher = "Publ by ASME",

pages = "115--122",

booktitle = "Macroscopic Behavior of Heterogeneous Materials From the Microstructure",

note = "Winter Annual Meeting of the American Society of Mechanical Engineers ; Conference date: 08-11-1992 Through 13-11-1992",

}