Fractal Analysis of Surface Roughness of Particles in Porous Media

A fractal dimension for roughness height （RH） is introduced to characterize the degree of roughness or disorder of particle surface characters which significantly influence physical-chimerical processes in porous media. An analytical expression for the fractal dimension of RH on statistically self-s...

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Bibliographic Details
Published in:Chinese physics letters 2010-02, Vol.27 (2), p.157-160
Main Author: 蔡建超 郁伯铭 邹明清 梅茂飞
Format: Article
Language:English
Subjects:
Fractal analysis
Fractals
Mathematical analysis
Mathematical models
Media
Porous materials
Roughness
Self-similarity
分形分析
分形维数
多孔介质
球形颗粒
生殖健康
粗糙度参数
表面粗糙度
解析表达式
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Summary:A fractal dimension for roughness height （RH） is introduced to characterize the degree of roughness or disorder of particle surface characters which significantly influence physical-chimerical processes in porous media. An analytical expression for the fractal dimension of RH on statistically self-similar fractal surfaces is derived and is expressed as a function of roughness parameters. The specific surface area （SSA） of porous materials with spherical particles is also derived, and the proposed fractal model for the SSA of particles with rough surfaces is expressed as a function of fractal dimension for RH and fractal dimension for particle size distribution, relative roughness of particle surface, and ratio of the minimum to the maximum particle diameters of spherical particles.
ISSN:0256-307X
1741-3540
DOI:10.1088/0256-307x/27/2/024705