Abstract
We give a dimensionless criterion for percolation of a random assembly of 3-dimensional flat disks of radius r with a density N per unit volume as ( Nr 3) c ∼0.15 to 0.3. The invariant at threshold is obtained by analogy with excluded volume results for arrays of needles or with the active filling factor approach used for spheres. As the result can be applied to the permeability of fractured rocks, we discuss the results for polydisperse assemblies and we show how the invariant can be measured from a random cut of the array of disks.
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