High-order moments of the phase function for real and reconstructed model porous media: A Comparison

Model porous materials (“reconstructed media”) possessing the same porosity as well as the same two-point correlation functions as real porous media can be generated at will starting from Gaussian variables. For a particular three-dimensional sample it is shown that the so-called reconstructed medium lies very close to the real material as regards its spatial porosity distribution up to and including four-point correlation functions of the phase function representing the distribution. Because of the choice of these Gaussian variables, all the third-, fourth-, … moments of the phase function of the reconstructed media are unambiguously determined. For a particular three-dimensional sample, it is shown that these high-order moments are very close in the real and in the reconstructed materials, at least up to the fourth order.