TORTUOSIMETRIC OPERATOR FOR COMPLEX POROUS MEDIA CHARACTERIZATION

Autor: Jean-Marie Becker, Thierry Fournel, Loïc Sorbier, Maxime Moreaud, Johan Chaniot
Přispěvatelé: IFP Energies nouvelles (IFPEN), Laboratoire Hubert Curien [Saint Etienne] (LHC), Institut d'Optique Graduate School (IOGS)-Université Jean Monnet [Saint-Étienne] (UJM)-Centre National de la Recherche Scientifique (CNRS), Centre de Morphologie Mathématique (CMM), MINES ParisTech - École nationale supérieure des mines de Paris, Université Paris sciences et lettres (PSL)-Université Paris sciences et lettres (PSL)
Jazyk: angličtina
Rok vydání: 2019
Předmět:
Acoustics and Ultrasonics
Computer science
Materials Science (miscellaneous)
General Mathematics
Structure (category theory)
multi-scale porous networks
02 engineering and technology
geodesic distance transform
Topology
Tortuosity
[SPI]Engineering Sciences [physics]
Operator (computer programming)
Histogram
0202 electrical engineering
electronic engineering
information engineering

[INFO]Computer Science [cs]
Radiology
Nuclear Medicine and imaging

[MATH]Mathematics [math]
Instrumentation
Monte Carlo algorithms
lcsh:R5-920
lcsh:Mathematics
Scalar (physics)
020207 software engineering
04 agricultural and veterinary sciences
Physics::Classical Physics
lcsh:QA1-939
Characterization (materials science)
geometric tortuosity
Signal Processing
Scalability
040103 agronomy & agriculture
0401 agriculture
forestry
and fisheries

Computer Vision and Pattern Recognition
Porous medium
lcsh:Medicine (General)
Biotechnology
Zdroj: Image Analysis and Stereology, Vol 38, Iss 1, Pp 25-41 (2019)
Image Analysis and Stereology
Image Analysis and Stereology, International Society for Stereology, 2019, 38 (1), pp.25-41. ⟨10.5566/ias.2039⟩
ISSN: 1854-5165
1580-3139
Popis: International audience; 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 paper 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.
Databáze: OpenAIRE