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Nonuniversal conductivity exponents in continuum percolating Gaussian fractures

Flukiger, Frédérique and Plouraboué, Franck and Prat, Marc Nonuniversal conductivity exponents in continuum percolating Gaussian fractures. (2008) Physical Review E, vol. 77 (n° 4). pp. 047101-1-047101-4. ISSN 1539-3755

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Official URL: http://dx.doi.org/10.1103/PhysRevE.77.047101

Abstract

We study the electrical and hydraulic conductivity percolation exponents in a Gaussian fracture using the method proposed in Plouraboué et al. [Phys. Rev. E 73, 036305, 2006]. Nonuniversal conductivity percolation exponents are found: they differ from the theoretical predictions for infinite system size for frozen power-law distributions of local conductivities, as with their finite size corrections. In the hydraulic case, we also find that the probability density function of the conductivity follows a power-law distribution near the percolation threshold.

Item Type:Article
Additional Information:Thanks to The American Physical Society. The definitive version is available at http://dx.doi.org/10.1103/PhysRevE.77.047101
Audience (journal):International peer-reviewed journal
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Institution:French research institutions > Centre National de la Recherche Scientifique - CNRS
Université de Toulouse > Institut National Polytechnique de Toulouse - INPT
Université de Toulouse > Université Paul Sabatier-Toulouse III - UPS
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Deposited By: Franck PLOURABOUE

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