基于MATLAB的岩体结构面曲线模拟及其分形研究

Fractal simulation and its fractal study for rock joints' surface based on MATLAB

基于Hurst指数的独立分割方法,结合MATLAB软件中差值函数和随机数产生函数,生成了10条典型的岩体结构面曲线;根据Tse和Barton提出的经验公式和10条典型结构面曲线的数据点,计算出10条曲线的粗糙度JRC值.运用线段尺码法测量已产生的10条结构面曲线中5条曲线的分形维数值Df(D).对粗糙度JRC值和分形维数值D进行曲线拟合,拟合结果表明:拟合曲线能较好地反映JRC和D之间的关系.

Basing on independent cut method of Hurst exponent, and by combining the difference function and producing random number function, ten typical curves of rock joints＇ surface were obtained. According to the empirical formula proposed by Tse and Barton and the data points of ten typical curve of rock joints＇ surface, of which the fractal dimension Df（D） were calculated. Adopted the yard - stick method to measure their fractal dimension, the relationship between JRC value and D value was fitted, the fitting results showed that the fitting curve reflect well with the relation of JRC and D.