节理岩体结构的分形几何研究

FRACTAL GEOMETRY STUDYON STRUCTURE OF JOINTED ROCK MASS

在岩体结构宏观分区的基础上,应用分形几何的观点从三维角度对分区内的岩体结构进行了研究。应用随机不连续面三维网络模拟技术建立岩体结构统计均质区内不连续面的概化模型,借助计算机模拟再现岩体结构;从岩体结构网络图中抽取“样本”,通过计算二维、三维样本的分形维数,表明三维分形维数等于二维分形维数加1,从三维角度表明统计均质区内岩体结构具有统计自相似性。

On the basis of statistical homogeneity of structure, the rock mass structure is studied by applying fractal geometry. Firstly, the 3D network modeling technique is used to establish the probability model for the randomly distributed discontinuities in the statistical homogeneity of structure. With the aid of computer, the structure of rock mass is regenerated on the screen. Secondly, 2D and 3D specimens are extracted from the 3D network model of discontinuities, and finally the fractal dimensions of the specimens are computed. The results indicate that the 3D fractal dimension is equal to the 2D fractal dimension added by one. This means that, from 3D point of view, the structure of jointed rock mass has the property of self-similarity.