Abstract:
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.
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Received 17 August 2000
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Mourzenko, V., Thovert, JF. & Adler, P. Percolation in two-scale porous media. Eur. Phys. J. B 19, 75–85 (2001). https://doi.org/10.1007/s100510170351
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DOI: https://doi.org/10.1007/s100510170351