Staff Publications

Staff Publications

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    'Staff publications' is the digital repository of Wageningen University & Research

    'Staff publications' contains references to publications authored by Wageningen University staff from 1976 onward.

    Publications authored by the staff of the Research Institutes are available from 1995 onwards.

    Full text documents are added when available. The database is updated daily and currently holds about 240,000 items, of which 72,000 in open access.

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Record number 319573
Title Percolation Thresholds in 2-Dimensional Prefractal Models of Porous Media
Author(s) Sukop, M.C.; Dijk, G.J. van; Perfect, E.; Loon, W.K.P. van
Source Transport in Porous Media 48 (2002). - ISSN 0169-3913 - p. 187 - 208.
DOI https://doi.org/10.1023/A:1015680828317
Department(s) Systems and Control Group
WIMEK
Publication type Refereed Article in a scientific journal
Publication year 2002
Keyword(s) percolatie - bodemwaterbeweging - permeabiliteit - poreus medium - modellen - fractal meetkunde - porous media - percolation - soil water movement - permeability - models - fractal geometry
Categories Soil Physics
Abstract Considerable effort has been directed towards the application of percolation theory and fractal modeling to porous media. We combine these areas of research to investigate percolation in prefractal porous media. We estimated percolation thresholds in the pore space of homogeneous random 2-dimensional prefractals as a function of the fractal scale invariance ratio b and iteration level i. The percolation thresholds for these simulations were found to increase beyond the 0.5927... porosity expected in Bernoulli (uncorrelated) percolation networks. Percolation in prefractals occurs through large pores connected by small pores. The thresholds increase with both b (a finite size effect) and i. The results allow the prediction of the onset of percolation in models of prefractal porous media and can be used to bound modeling efforts. More fundamental applications are also possible. Only a limited range of parameters has been explored empirically but extrapolations allow the critical fractal dimension to be estimated for a large combination of b and i values. Extrapolation to infinite iterations suggests that there may be a critical fractal dimension of the solid at which the pore space percolates. The extrapolated value is close to 1.89 - the well-known fractal dimension of percolation clusters in 2-dimensional Bernoulli networks.
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