Connectivity evolution of 2D random distributions of disks and ellipses: application to polyphasic crystal rock distribution
Stéphane Sammartino,
Laboratoire Hydrogéologie, Argiles, Sols et Altérations, UMR 6532, Université de Poitiers, 40 avenue du recteur Pineau, 86022 Poitiers Cedex, France ; Laboratoire d'Etudes Aérodynamiques, UMR 6609, Université de Poitiers, 40 avenue du recteur Pineau, 86022 Poitiers Cedex, France
Paul Sardini,
Laboratoire Hydrogéologie, Argiles, Sols et Altérations, UMR 6532, Université de Poitiers, 40 avenue du recteur Pineau, 86022 Poitiers Cedex, France
Eric Moreau,
Laboratoire d'Etudes Aérodynamiques, UMR 6609, Université de Poitiers, 40 avenue du recteur Pineau, 86022 Poitiers Cedex, France
Gérard Touchard,
Laboratoire d'Etudes Aérodynamiques, UMR 6609, Université de Poitiers, 40 avenue du recteur Pineau, 86022 Poitiers Cedex, France
Résumé
Abstract
The ultimate goal of this work is to characterise the arrangement of mineral phases using 2D images. Three simple indices are defined in order to quantify their 2D connectivity and spatial distribution. Ultimate eroded construction is used to model grain clusters. First, Monte-Carlo simulations of 2D random images permit the testing of index sensitivity to the surface area fraction, the shape and the distribution of particles in terms of the percolation threshold. This allows us to define three normalised indices for rock phase characterisation. The results are in good agreement with the morphological characteristics of the studied granite phases. They permit a comparison and a quantification of the 2D spatial arrangement of the phases which are under the percolation threshold.
Keywords : Connectivity, random images, rock mineral phase, spatial distribution
Pour citer cet article
Stéphane Sammartino, Paul Sardini, Eric Moreau & Gérard Touchard, «Connectivity evolution of 2D random distributions of disks and ellipses: application to polyphasic crystal rock distribution», Acta Stereologica [En ligne], Volume 17 (1998), Number 3 - Dec. 1998, 309-314 URL : https://popups.uliege.be/0351-580x/index.php?id=284.
