Fractal Analysis of Surface Roughness of Particles in Porous Media

• 作者: 梅茂飞 蔡建超 邹明清 郁伯铭
• 来源期刊: 中国物理快报(英文版)
• 学科: 物理学
• 关键词: 表面粗糙度 球形颗粒 多孔介质 分形分析 分形维数 生殖健康 解析表达式 粗糙度参数
• 年，卷（期）: 2010,（2）
• 页码范围: 157-160
• 页数: 4页
• 分类号: O413.1 TG84
• 语种: 英文

摘要

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.