Percolation modeling of hydraulic hysteresis in a porous media

Abstract

In this paper we consider various models of hydraulic hysteresis in invasive mercury porosimetry. For simulating the hydraulic hysteresis is used isotropic site percolation on three-dimensional square lattices with $(1,\,\pi)$-neighborhood. The relationship between the percolation model parameters and invasive porosimetry data is studied phenomenologically. The implementation of the percolation model is based on libraries SPSL and SECP, released under license GNU GPL-3 using the free programming language R.

Keywords

• invasive mercury porosimetry
• hydraulic hysteresis
• site percolation
• square lattice
• non-metric Minkowski distance
• Moore neighborhood
• mass fractal dimension
• R programming language
• SPSL package
• SECP package