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利用新开发设计的三维非接触式激光表面形状测定仪，在精确测定岩体不连续面的表面形状的基础上，建立了新的岩体不连续面的分形几何模型，模型中的两个分形参数定量表述了岩体不连续面表面形状的几何特性（一级倾斜度和高级次起伏度），并进一步提出了由这两个分形参数组合得出的代表岩体不连续面表面粗糙特性的平均粗糙角U的概念和计算方法．最后，结合岩体不连续的剪切强度实验，建立了剪切强度与分形参数以及平均粗糙角U间的定量关系．
Using the newly developed three-dimensional non-contact laser surface shape measuring instrument, based on the accurate determination of the surface shape of the rock discontinuity surface, a new fractal geometry model of the discontinuity surface of the rock mass was established. The two fractals in the model were established. The parameters quantify the geometrical characteristics (first-order gradient and high-order relief) of the surface shape of discontinuities on the rock mass, and further propose the combination of the two fractal parameters to represent the rough surface characteristics of the discontinuity surface. The average roughness angle U concept and calculation method. Finally, the quantitative relationship between shear strength and fractal parameters and the average roughness angle U was established based on the discontinuous shear strength test of the rock mass.