https://doi.org/10.1007/s100510170351
Percolation in two-scale porous media
1
LCD-PTM, SP2MI, BP 179, 86960 Futuroscope Cedex, France
2
EPFL, 1015 Lausanne, Switzerland
3
IPGP, tour 24, 4 Place Jussieu, 75252 Paris Cedex 05, France
Corresponding author: a adler@ipgp.jussieu.fr
Received:
17
August
2000
Published online: 15 January 2001
Two-scale porous media are generated by filtering a Gaussian random correlated field with a random correlated threshold field. The percolation threshold and the critical exponent ν are derived with the help of a finite-size scaling method. The percolation threshold for the three-dimensional media is a decreasing function of the variance and correlation length of the threshold field. A simplified model predicts these trends in 3d; moreover, it suggested some effects in 2d which were all numerically verified.
PACS: 61.43.Gt – Powders, porous materials / 61.43.Hv – Fractals; macroscopic aggregates (including diffusion-limited aggregates) / 64.60.Ak – Renormalization-group, fractal, and percolation studies of phase transitions
© EDP Sciences, Società Italiana di Fisica, Springer-Verlag, 2001
