The model of randomly distributed polydisperse overlapping spheres

TL;DR

This paper introduces a model for heterogeneous porous media using randomly distributed overlapping spheres of varying sizes, calculating correlation functions to characterize pore connectivity and structure.

Contribution

It presents a novel model that describes disordered porous media with detailed correlation functions and parameters dependent on pore size and porosity.

Findings

Calculated two-particle correlation functions for pores of different radii.

Characterized pore connectivity through nearest neighbors and mouth areas.

Model parameters depend on pore size, porosity, and distribution functions.

Abstract

A model of randomly distributed overlapping spheres of different radii is represented to describe a heterogeneous porous medium. Two-particle correlation function of the relative position of pores of different radii in the medium space was calculated and detailed analysis was carried out. The model allows to characterize the disordered porous medium with the number of nearest neighbors, the area of all mouths that connect pore with the neighboring pores. These paramaters depend on the pore size and porosity and --- in addition to the specific surface area, porosity, and percolation threshold and the distribution function of pore size.