2D and 3D topological analysis of modeled porous media
Eric Moreau,
Laboratoire d'Etudes Aérodynamiques, UMR 6609 CNRS, Université de Poitiers, 40 avenue du Recteur Pineau, 86022 Poitiers cedex, France
Stéphane Sammartino,
Laboratoire d'Etudes Aérodynamiques, UMR 6609 CNRS, Université de Poitiers, 40 avenue du Recteur Pineau, 86022 Poitiers cedex, France; Laboratoire Hydrogéologie, Argile, Sols et Altérations, UMR 6532 CNRS, 40 avenue du Recteur Pineau, 86022 Poitiers cedex, France
Gérard Touchard,
Laboratoire d'Etudes Aérodynamiques, UMR 6609 CNRS, Université de Poitiers, 40 avenue du Recteur Pineau, 86022 Poitiers cedex, France
Abstract
The ultimate goal of our work is a better understanding of hydraulic and electrical phenomena in geological porous media. In this paper, the topology of different 3D homogeneous porous media modeled by random packing of spherical particles is characterized using the notion of critical neck defined by Moreau et al. (1996). Briefly, this consists in performing successive openings and geodesic propagations in order to determine the proportion of pores which are connected by narrowings of increasing thickness.
This topological analysis is performed in two and three dimensions on different types of media: periodical packing, random packing of equal spheres and random packing of unequal spheres. Then the relation between the 2D and 3D critical necks in function of the medium properties is discussed.
Keywords : 3D topology, geodesic propagation, neck, opening, porous medium, stereology
Pour citer cet article
Eric Moreau, Stéphane Sammartino & Gérard Touchard, «2D and 3D topological analysis of modeled porous media», Acta Stereologica [En ligne], Volume 17 (1998), Number 2 - Sep. 1998, 253-258 URL : https://popups.uliege.be/0351-580x/index.php?id=2629.
