Fractal Analysis of Rock Joint Profiles

World Multidisciplinary Civil Engineering-Architecture-Urban Planning Symposium - WMCAUS

土木建筑工程

Audy, Ondej^1 ; Ficker, Tomá^1

Brno University of Technology, Faculty of Civil Engineering, Veveí 95, Brno

CZ-602 00, Czech Republic^1

关键词: Box-counting method;    Computational procedures;    Fractal analysis;    Fractal properties;    Self-affine fractals;    Self-affine profiles;    Self-similar fractals;    Surface reliefs;   

Others  :  https://iopscience.iop.org/article/10.1088/1757-899X/245/3/032006/pdf
DOI  :  10.1088/1757-899X/245/3/032006

学科分类：土木及结构工程学

来源: IOP

【 摘 要 】

Surface reliefs of rock joints are analyzed in geotechnics when shear strength of rocky slopes is estimated. The rock joint profiles actually are self-affine fractal curves and computations of their fractal dimensions require special methods. Many papers devoted to the fractal properties of these profiles were published in the past but only a few of those papers employed a convenient computational method that would have guaranteed a sound value of that dimension. As a consequence, anomalously low dimensions were presented. This contribution deals with two computational modifications that lead to sound fractal dimensions of the self-affine rock joint profiles. These are the modified box-counting method and the modified yard-stick method sometimes called the compass method. Both these methods are frequently applied to self-similar fractal curves but the self-affine profile curves due to their self-affine nature require modified computational procedures implemented in computer programs.