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Phys. Rev. E 77, 066306 (2008) [14 pages]

Geometrical and transport properties of random packings of polydisperse spheres

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V. Mourzenko* and J.-F. Thovert
LCD, SP2MI, Boîte Postale 30179, 86962 Futuroscope Cedex, France

O. Vizika
Institut Français du Pétrole (IFP), 1 et 4, avenue de Bois-Préau, 92852 Rueil-Malmaison Cedex, France

P. M. Adler§
UPMC Sisyphe, Boîte 105, 4 place Jussieu, 75252 Paris Cedex 05, France

Received 17 January 2008; published 11 June 2008

Loose packings of spheres with bidisperse or log-normal distributions are generated by random sequential deposition. Porosity, conductivity, and permeability are determined. The porosities correspond to loose packings, but they follow the usual trends for bidisperse packings. The conductivity and permeability follow power laws as functions of the porosity of the packings. Several other quantities such as the classical Kozeny constant are successfully represented as functions of porosity. Some dimensionless representations gather the numerical data on curves valid for all particle distributions. Finally, comparisons with experimental data are satisfactory.

© 2008 The American Physical Society

URL:
http://link.aps.org/doi/10.1103/PhysRevE.77.066306
DOI:
10.1103/PhysRevE.77.066306
PACS:
47.56.+r, 81.05.Rm, 41.20.Cv

*murzenko@lcd.ensma.fr

thovert@lcd.ensma.fr

Olga.VIZIKA-KAVVADIAS@ifp.fr

§pierre.adler@upmc.fr