Saturation in regular, exotic and random pore networks

TL;DR

This paper investigates saturation phenomena in various regular, exotic, and random pore networks, introducing a new efficient method for generating local random graphs and analyzing the impact of locality on liquid propagation.

Contribution

It presents a novel modification of the cell list algorithm for efficient local random graph generation and explores the significance of locality in liquid saturation in pore networks.

Findings

Locality significantly affects liquid propagation in random networks.

Saturation curves vary with different pore degree distributions.

Efficient graph generation enables detailed analysis of exotic and irregular networks.

Abstract

Porcolation simulations were carried out on various networks; both regular and irregular. The saturation curve was obtained for cubic networks, localized and completely random 3D networks and networks based on exotic graphs like Sierpi\'nski triangle and carpet. For the random graph generation a modification of the cell list algorithm was introduced, which is capable of generating local random graphs efficiently. With the help of this graph generation method, the effect of locality was investigated, and it was proven to be an important property of random networks from the viewpoint of liquid propagation. The saturation curves of local random networks with different prescribed pore degree distributions were also obtained.