节理岩体粗糙度吸引子盒子维数的研究方法

来源期刊：中南大学学报(自然科学版)1995年第3期

论文作者：姚亚夫

文章页码：300 - 304

关键词：节理; 岩体; 粗糙度; 系数/分形; 盒子维数

Key words：joint; rock mass; roughness; coefficients/fractal; box diminsion

摘    要：论述了节理岩体粗糙度吸引子盒子维数的研究方法,从数学理论上推导了盒子维数D的正确性和唯一性,作为验证,考查了分形随机布朗运动,获得了较为理想的结果.为了使JRC值定量化,本文利用多项式回归分析,得到了JRC与分维数D之间的经验公式,并在Barton提出的典型剖面线中得到了检验,因而,可以说盒子维数研究方法是研究节理岩体粗糙度的一种较好的方法.

Abstract: The reseasch method of the box dimension for attractor of joint rock roughness is nar-rated in this treatise,The correctness and the sole ness of box dimension are deduced frommathematics theory.For verification,the fractal random Brown's motion is examined,andthe resultes are satis factory.In order to get the data of JRc,an empirical equation betweenJRC and the corresponding fractal dimensionis is obtained by polynomial analysis,and it isverified on Barton’s typical profiles.So,the research method of box dimension is a verygood way to analyses joint rock roughnes.