• Johan Chaniot IFP Energies nouvelles, Rond-point de l'échangeur de Solaize, BP 3, 69360 Solaize, France Université de Lyon, Université Jean Monnet de Saint Etienne, CNRS UMR 5516, Laboratoire Hubert Curien, F-42000 Saint Etienne, France
  • Maxime Moreaud IFP Energies nouvelles, Rond-point de l'échangeur de Solaize, BP 3, 69360 Solaize, France MINES ParisTech, PSL-Research University, CMM, 35 rue Saint Honoré, 77305 Fontainebleau, France
  • Loïc Sorbier IFP Energies nouvelles, Rond-point de l'échangeur de Solaize, BP 3, 69360 Solaize, France
  • Thierry Fournel Université de Lyon, Université Jean Monnet de Saint Etienne, CNRS UMR 5516, Laboratoire Hubert Curien, F-42000 Saint Etienne, France
  • Jean-Marie Becker Université de Lyon, Université Jean Monnet de Saint Etienne, CNRS UMR 5516, Laboratoire Hubert Curien, F-42000 Saint Etienne, France



geodesic distance transform, geometric tortuosity, Monte Carlo algorithms, multi-scale porous networks


Geometric tortuosity is one of the foremost topological characteristics of porous media. Despite the various definitions in the literature, to our knowledge, they are all linked to an arbitrary propagation direction. This article proposes a novel topological descriptor, named M-tortuosity, by giving a more straightforward definition, describing the data regardless of physicochemical processes. M-tortuosity, based on the concept of geometric tortuosity, is a scalable descriptor, meaning that information of several dimensions (scalar, histograms, 3D maps) is available. It is applicable on complex disconnected structures without any arbitrary definition of entry and exit. Topological information can be represented by aggregation into a unique scalar descriptor for classification purposes. It is extended by iterative erosions to take into account porous structure narrowness, especially bottleneck effects. This new descriptor, called M-tortuosity-by-iterative-erosions, describes tortuosity of the porous part as seen by a spherical particle of given size walking along the network. Boolean models are used to simulate different porous media structures in order to test the proposed characterization.


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How to Cite

Chaniot, J., Moreaud, M., Sorbier, L., Fournel, T., & Becker, J.-M. (2019). TORTUOSIMETRIC OPERATOR FOR COMPLEX POROUS MEDIA CHARACTERIZATION. Image Analysis and Stereology, 38(1), 25–41.



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