Open AccessNonuniversal conductivity exponents in continuum percolating Gaussian fractures
Author(s) -
F. Flukiger,
Franck Plouraboué,
Marc Prat
Publication year - 2008
Publication title -
physical review e
Language(s) - English
Resource type - Journals
eISSN - 1550-2376
pISSN - 1539-3755
DOI - 10.1103/physreve.77.047101
Subject(s) - percolation critical exponents , conductivity , statistical physics , percolation (cognitive psychology) , percolation threshold , gaussian , power law , directed percolation , percolation theory , mathematics , probability density function , physics , condensed matter physics , electrical resistivity and conductivity , statistics , quantum mechanics , neuroscience , biology
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 innite system size for frozen power-law distributions of local conductivities, as with their nite size corrections. In the hydraulic case, we also nd that the probability density function of the conductivity follows a power-law distribution near the percolation threshold
Accelerating Research
Robert Robinson Avenue,
Oxford Science Park, Oxford
OX4 4GP, United Kingdom
Address
John Eccles HouseRobert Robinson Avenue,
Oxford Science Park, Oxford
OX4 4GP, United Kingdom