岩石断裂面上中心剖线的统计学分析

Statistical analysis subjecting to central profile on rock fracture surfaces

为比较岩石断裂面上形貌间的差异性,用花岗岩制成标准的巴西圆盘,由伺服机对圆盘进行巴西劈裂实验。使用岩石激光扫描仪对断裂面进行扫描,取矩形断裂面上一条中心剖线的二维坐标数据,由计算机拟合这条粗糙剖线,以一定长度的线段为步长,搭连粗糙曲线上相近的两个"峰顶",以垂直该步长且方向朝水平线上的向量作为法向量,统计所有法向量偏离竖直方向的度数。由统计方法分析得出:法向量度数的分布具有尺度效应,即步长越大,其分布越接近于正态分布,而且不同尺度下度数均值左右两边数据的离散程度相当。

In order to compare the differences of morphology on the rock fracture surface,granite is selected to prepare Brazil Disk by punched machine.Rock disk is pressed to fracture along the vertical orientation by hydraulic press.A laser profilometer is used to scan the rock fracture surface to acquire coordinates data of surfaces,and the central profile on rock fracture surfaces is chosen to fit the plot of the central profile.Certain line segment length is regarded as a step length and a technique based on the analysis of the orientation of the normal vector to a line segment connecting pairs of points on a profile is developed.As a result,the distribution of the degree of normal vectors depends on the scale effect.The distribution is more approximate to normal along with the increase of the step length.