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Phys. Rev. E 59, 4265–4284 (1999)

Percolation and conductivity of self-affine fractures

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V. V. Mourzenko1,2, J.-F. Thovert1, and P. M. Adler2
1LCD-PTM, SP2MI, Boîte Postale 179, 86960 Futuroscope Cedex, France
2IPGP, Tour 24, 4 Place Jussieu, 75252 Paris Cedex 05, France

Received 29 May 1998; published in the issue dated April 1999

The percolation and conductivity of self-affine fractures are investigated over the whole range of their mean aperture and roughness exponent H, by direct three-dimensional numerical simulations. A scaling behavior is exhibited for the conductivity of tight fractures in the self-affine scale range, with exponent H. All the data can be summarized by two simple models, valid for small to moderate and for large apertures, respectively.

© 1999 The American Physical Society

URL:
http://link.aps.org/doi/10.1103/PhysRevE.59.4265
DOI:
10.1103/PhysRevE.59.4265
PACS:
47.55.Mh, 05.40.-a, 47.11.+j