Dividing rock mass homogeneous regions according to discontinuities has important engineering significance. This study proposes a multidimensional clustering analysis method for dividing rock mass homogeneous regions based on shape dissimilarities, which reflect the comprehensive properties of discontinuities. The method mainly includes four procedures: (a) division of small trace maps, (b) calculation of shape dissimilarity based on the box-counting dimension and trace angle, (c) construction of the feature vector of a small trace map, (d) multidimensional clustering analysis. The attributes of clustering samples in this method are all shape dissimilarities with dimension = 1, so there is no need to assign weights to the attributes in the clustering analysis, i.e., it is a multiple-factor division method for rock mass homogeneous regions without manual setting of weights. Simulation experiments are used to validate the method, and the results show that this method is effective. In addition, some limiting conditions and test method about division results are discussed. Finally, a rock exposure at a hydropower station dam is used as a case study to illustrate the utility of the proposed method. The proposed method is believed to be a potentially useful tool for studying the spatial variability of geometric parameters of rock masses.

中文翻译：

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一种基于轨迹图形状相异性划分岩体均匀区域的多维聚类分析方法

根据不连续性划分岩体均质区域具有重要的工程意义。本研究提出了一种基于形状差异的岩体均质区域划分的多维聚类分析方法，该方法反映了不连续性的综合特性。该方法主要包括四个步骤：(a)小轨迹图的划分，(b)基于计箱维数和轨迹角度的形状相异度计算，(c)小轨迹图特征向量的构建，(d) ) 多维聚类分析。该方法中聚类样本的属性都是维度=1的形状不相似，因此聚类分析中不需要给属性赋予权重，即 它是一种用于岩体均质区域的多因素划分方法，无需手动设置权重。仿真实验对该方法进行了验证，结果表明该方法是有效的。此外，还讨论了划分结果的一些限制条件和测试方法。最后，以水电站大坝的岩石暴露作为案例研究来说明所提出方法的实用性。所提出的方法被认为是研究岩体几何参数空间变异性的潜在有用工具。水电站大坝的岩石暴露被用作案例研究来说明所提出方法的实用性。所提出的方法被认为是研究岩体几何参数空间变异性的潜在有用工具。水电站大坝的岩石暴露被用作案例研究来说明所提出方法的实用性。所提出的方法被认为是研究岩体几何参数空间变异性的潜在有用工具。