Nonuniversal conductivity exponents in continuum percolating Gaussian fractures.
We study the electrical and hydraulic conductivity percolation exponents in a Gaussian fracture using the method proposed in Plouraboué [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.
Institut de Mécanique des Fluides de Toulouse, U.M.R. C.N.R.S.-INP/UPS, N5502 Avenue du Professeur Camille Soula 31400 Toulouse, France.
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F
Flukiger
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F
Plouraboué
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M
Prat