The reachable volume fraction in porous media in the vicinity of percolation threshold: a numerical approach used on multi-scale Boolean schemes

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

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

New morphological descriptors of complex porous networks are introduced and validated in this paper. These descriptors are based on the concept of "reachable volume fraction" here applied on multi-scale Boolean schemes; this fraction is computable for percolating spheres using step by step erosions of the porous network, providing information about the percolation strength of spherical particles with increasing radius. This process yields a critical radius, which, together with the dynamic reachable volume fraction provide a characterization of the porous media.

Keywords: Porous networks; Mathematical morphology; Percolation-threshold; Boolean schemes; Multi-scale; Geodesic distance transform; Reachable volume fraction

Domains: Signal and Image Processing; Image Processing [eess.IV]

Johan Chaniot, Maxime Moreaud, Thierry Fournel, Jean-Marie Becker. The reachable volume fraction in porous media in the vicinity of percolation threshold: a numerical approach used on multi-scale Boolean schemes. 2017 16th Workshop on Information Optics (WIO), Jul 2017, Interlaken, Switzerland. pp.1-3, ⟨10.1109/WIO.2017.8038110⟩. ⟨hal-02095002⟩