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Journal Articles Physical Review E : Statistical, Nonlinear, and Soft Matter Physics Year : 2008

Nonuniversal conductivity exponents in continuum percolating Gaussian fractures

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.
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hal-03574341 , version 1 (15-02-2022)

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Frédérique Flukiger, Franck Plouraboué, Marc Prat. Nonuniversal conductivity exponents in continuum percolating Gaussian fractures. Physical Review E : Statistical, Nonlinear, and Soft Matter Physics, 2008, 77 (4), pp.047101-1. ⟨10.1103/PhysRevE.77.047101⟩. ⟨hal-03574341⟩
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