Geometry-Topology Duality in complex porous networks

TL;DR

This paper investigates the relationship between geometry and topology in complex porous networks, proposing an analytical model for permeability that aligns well with simulation data, revealing a strong correlation.

Contribution

It introduces a novel analytical approach based on geometry-topology duality to predict permeability in porous media, validated by simulations.

Findings

Permeability correlates strongly (>95%) with network size and coordination number.

The analytical model accurately predicts permeability in 2D porous networks.

Geometry-topology duality underpins the transport properties of complex porous structures.

Abstract

We explore the experimental observation that complex networks of porous media exhibit the property that the porous coordination number is proportional to its size. Based in this geometry-topology duality we developed an analytical approach to describe the permeability transport property of the material. That results was compared with 2D networks simulations. And we found a correlation coefficient greater than 95%.