Determination of geometrical parameters of the microstructure of a porous medium: Application to cementitious materials

Bourbatache, Mohamed Khaled; Bennai, Farès; Zhao, Chao-Fa; Millet, Olivier; Aït‐Mokhtar, Abdelkarim

doi:10.1016/j.icheatmasstransfer.2020.104786

Cited by 4 publications

(1 citation statement)

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“…A central issue for the transport properties of fractured porous media concerns the notion of the formation factor [68] introduced by Sundberg [69] and coined by Archie [70]. Conceptually, the formation factor accounts for the medium porosity (φ), the transport streamline constriction, and the tortuosity of transmission paths as follows F = τ 2 /(φδ), where the relative tortuosity of transmission paths τ accounts for the transmission paths lengthening, the network constrictivity factor δ accounts the variations in the streamline cross-section over the flow domain, while φ restricts the area available for the mass transfer [71]. The path tortuosity is defined as the ratio between the actual path length to the shortest distance between the beginning and the end.…”

Section: Connectivitymentioning

confidence: 99%

Fractal Features of Fracture Networks and Key Attributes of Their Models

et al. 2023

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This work is devoted to the modeling of fracture networks. The main attention is focused on the fractal features of the fracture systems in geological formations and reservoirs. Two new kinds of fracture network models are introduced. The first is based on the Bernoulli percolation of straight slots in regular lattices. The second explores the site percolation in scale-free networks embedded in the two- and three-dimensional lattices. The key attributes of the model fracture networks are sketched. Surprisingly, we found that the number of effective spatial degrees of freedom of the scale-free fracture network models is determined by the network embedding dimension and does not depend on the degree distribution. The effects of degree distribution on the other fractal features of the model fracture networks are scrutinized.

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Section: Connectivitymentioning

confidence: 99%