Service interruption on Monday 11 July from 12:30 to 13:00: all the sites of the CCSD (HAL, EpiSciences, SciencesConf, AureHAL) will be inaccessible (network hardware connection).
Skip to Main content Skip to Navigation
Journal articles

Percolation of three-dimensional fracture networks with power-law size distribution

Abstract : The influence of various parameters such as the domain size, the exponent of the power law, the smallest radius, and the fracture shape on the percolation threshold of fracture networks has been numerically studied. For large domains, the adequate percolation parameter is the dimensionless fracture density normalized by the product of the third moment of fracture radii distribution and of the shape factor; for networks of regular polygons, the dimensionless critical density depends only slightly on the parameters of radii distribution and on the shape of fractures; a model is proposed for the percolation threshold for fractures with elongated shapes. In small domains, percolation is analyzed in terms of the dimensionless fracture density normalized by the sum of two reduced moments of the radii distribution; this provides a general description of the network connectivity properties whatever the dominating percolation mechanism; the fracture shape is taken into account by using excluded volume in the definition of dimensionless fracture density.
Document type :
Journal articles
Complete list of metadata

https://hal-insu.archives-ouvertes.fr/insu-03601108
Contributor : Nathalie POTHIER Connect in order to contact the contributor
Submitted on : Tuesday, March 8, 2022 - 4:21:48 PM
Last modification on : Thursday, March 10, 2022 - 3:31:41 AM
Long-term archiving on: : Thursday, June 9, 2022 - 7:36:15 PM

File

mourzenko2005.pdf
Publisher files allowed on an open archive

Identifiers

Citation

V. V. Mourzenko, J. -F. Thovert, P. M. Adler. Percolation of three-dimensional fracture networks with power-law size distribution. Physical Review E , American Physical Society (APS), 2005, 72, pp. 639-646. ⟨10.1103/PhysRevE.72.036103⟩. ⟨insu-03601108⟩

Share

Metrics

Record views

16

Files downloads

13