Voronoi modelling of the void structure in three dimensional and near-planar random fibre networks.

A representation of the porous space of computer models of random fibre networks by Voronoi networks is introduced. The lengths of the pores are determined as the lengths of the Voronoi bonds, and the bottleneck radii as the minimal radii of the Delaunay empty sphere along the bonds. Three dimensional and approximately two dimensional networks are considered and found to exhibit very similar void structures. The distributions of the pore bottlenecks and bond lengths and bond length tortuosities are shown to be well approximated by Normal and half-Normal distributions respectively; the distribution of tortuosities is approximately exponential.