This article is cited in 15 papers

Theoretical and Mathematical Physics

Fractal analysis of the 3D microstructure of porous materials

A. Khlyupin^ab, O. Yu. Dinariev<sup>b

a</sup> Moscow Institute of Physics and Technology (National Research University), Dolgoprudny, Moscow Region
^b Schlumberger Moscow Research

Abstract: Statistical and geometrical characteristics of the microstructure of the porous space of rock samples are investigated on the basis of 3D images obtained by X-ray microtomography. It is shown that the surface of the porous space exhibits fractal properties. As a result of fractal analysis of 3D micromodels, the leading fractal dimension, the multifractal spectra of generalized dimensions, and other structural and geometrical parameters are obtained.

Received: 08.08.2014

 English version: Technical Physics, 2015, 60:6, 805–810

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