岩石结构面几何特征的分形与分维

Fractal ananysis for rock mass joint geometry

本文引用B.B.Mandelbrot创立的分形几何学这一新理论及其思维方法,对岩石结构面的几何特征,包括规模、隙宽、密度和粗糙度进行分形分析。结果表明,在10~7级范围内,结构面几何特征呈现出很强的自相似性,其分数维分别为0.8272、0.8173和2.1385;粗糙度JRC则由分数维方便地定量地表征。这一客观规律的揭示,对各种尺度结构面几何特征、渗透路线的形态和流速趋势的确定具有重要的理论价值和现实意义。

Fractal theory is introduced to aualyli, joint geometry in this paper. It is found that the size, width, density of joints and their net show good self-similarity in every wide scope, the fractal dimensions are 0.8272, 0.8173 and 2.1385, respectively. Joint roughness coefficients (JRC) could be quan-titatitatively simulated with generalized Koch curve statisti caly. This method makes the analysis of JRC simpler and easer than others.