Дискуссионный Петрофизический Форум

A statistical analysis of void size distribution in a simulated narrowly graded packing of spheres
Granular Matter
Springer Berlin / Heidelberg
ISSN 1434-5021 (Print) 1434-7636 (Online)
Volume 10, Number 6 2008 г.
DOI 10.1007/s10035-008-0111-5
pp. 457-468
A statistical analysis of void size distribution in a simulated narrowly graded packing of spheres
Nadège Reboul1 , Eric Vincens1 and Bernard Cambou1

(1) LTDS Ecole Centrale de Lyon UMR CNRS 5513, 36 avenue Guy de Collongue, 69134 Ecully Cedex, France

Received: 31 May 2007 Published online: 19 September 2008

Abstract The void microstructure of a simulated packing of polydisperse spheres has been investigated by means of a radical Delaunay tessellation. We have focused on creating sphere packings by mimicking processes involved in the construction of embankment dams: the polydisperse spheres are collectively released under gravity and denser states are mainly obtained by means of shearing cycles. This study has been performed on a narrowly graded material for four porosities ranging from 0.42 to 0.36. The void structure is quantified in terms of probability density functions of pore and constriction sizes, cumulative distributions and connectivity functions. We emphasize the implications of the sample construction technique on the geometric packing arrangements, among them a well disordered medium where tetrahedra remain the most represented unit void structure. We point out that when porosity decreases, void distributions become narrower but the initial structure is never destroyed. Nevertheless, the densification modifies significantly the computed mean void quantities. In this study, usual geometric arrangements obtained for very dense materials are not encountered.
Keywords Discrete element method - Delaunay tessellation - Void size distributions - Constrictions - Connectivity function

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Nadège Reboul
Email: nadege.reboul@ec-lyon.fr

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