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-iterativeerosions, 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.
CITATION STYLE
Chaniot, J., Moreaud, M., Sorbier, L., Jeulin, D., Becker, J. M., & Fournel, T. (2020). Heterogeneity assessment based on average variations of morphological tortuosity for complex porous structures characterization. Image Analysis and Stereology, 39(2), 111–128. https://doi.org/10.5566/ias.2370
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