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

Abstract : 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.
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Submitted on : Monday, October 5, 2020 - 6:19:27 PM
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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 and Stereology, International Society for Stereology, 2020, 39 (2), pp.111-128. ⟨10.5566/ias.2370⟩. ⟨hal-02939162v2⟩

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