Heterogeneity assessment based on average variations of morphological tortuosity for complex porous structures characterization

Johan Chaniot (1) , Maxime Moreaud (1) , Loic Sorbier (1) , Dominique Jeulin (2) , Jean-Marie Becker (3) , Thierry Fournel (3)

1 IFPEN - IFP Energies nouvelles
2 CMM - Centre de Morphologie Mathématique
3 LHC - Laboratoire Hubert Curien

Morphological characterization of porous media is of paramount interest, mainly due to the connections between their physicochemical properties and their porous microstructure geometry. Heterogeneity can be seen as a geometric characteristic of porous microstructures. In this paper, two novel topological descriptors are proposed, based on the M-tortuosity formalism. Using the concept of geometric tortuosity or morphological tortuosity, a first operator is defined, the H-tortuosity. It estimates the average variations of the morphological tortuosity as a function of the scale, based on Monte Carlo method and assessing the heterogeneity of porous networks. The second descriptor is an extension, named the H-tortuosity-by-iterative-erosions, taking into account different percolating particle sizes. These two topological operators are applied on Cox multi-scale Boolean models, to validate their behaviors and to highlight their discriminative power. The original publication is available at www.ias-iss.org.

Mots clés: geodesic distance transform; heterogeneity; Monte Carlo algorithms; morphological tortuosity; multi-scale porous network

Domaines: Informatique [cs]; Mathématiques [math]; Sciences de l'ingénieur [physics]

Johan Chaniot, Maxime Moreaud, Loic Sorbier, Dominique Jeulin, Jean-Marie Becker, et al.. Heterogeneity assessment based on average variations of morphological tortuosity for complex porous structures characterization. Image Analysis & Stereology, 2020, 39 (2), pp.111-128. ⟨10.5566/ias.2370⟩. ⟨hal-02939162v2⟩