基于编网算法的岩体结构面优势产状聚类分析

doi:10.13722/j.cnki.jrme.2019.0865

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摘要结构面优势产状的聚类分析是进行岩体工程稳定性评价的基础。传统的结构面聚类分析方法无法清除“噪点”的影响，造成聚类过程及聚类结果的偏差。为了克服传统聚类分析方法的不足，提出一种基于编网算法的岩体结构面优势产状聚类分析方法。将结构面产状进行坐标转换，计算产状样本间的相似程度并构造模糊相似矩阵R；选取置信水平λ后对截矩阵Rλ进行编网，经过同一节点被经纬线连接在一起的样本分为一组，由此实现结构面产状的聚类划分。研究表明：该方法所得优势产状与各方法一致，具有良好的适用性；无需事先指定初始分组数或初始聚类中心，减少了人为干涉的主观性，聚类过程更加可靠；能有效地清除“噪点”数据，使聚类结果更加准确。通过对工程案例的分析表明，编网算法在结构面优势产状的聚类分析中具有有效性和合理性。本研究方法可为工程岩体中快速、准确地获取结构面优势产状提供依据，对工程岩体稳定性评价具有重要意义。

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	徐敏娜

关键词 ：岩石力学, 结构面, 优势产状, 聚类分析, 编网算法

Abstract：The analysis of dominant orientations of discontinuities of rock mass is a fundamental work for the stability evaluation in rock engineering. The traditional clustering methods have the deviations in the clustering process and results，because these methods cannot effectively filter noisy data. To solve this problem，a clustering analysis method based on netting algorithm is proposed for determining the dominant orientations of discontinuities. By coordinate transformation of orientations of discontinuities，the fuzzy similarity matrix R is established by calculating the similarity between each orientation data. Then，the λ-cutting matrix can be constructed by a given confidence level λ. The clustering result was achieved by grouping samples that are connected together by the latitude and longitude lines of same node. The result indicated that the dominant orientations of netting algorithm were consistent with other methods. Based on this proposed method，there is no need to set the initial groups or the initial clustering centers in advance. It reduces the subjectivity of human intervention and makes the clustering process more reliable. The noise data can be effectively filtered，which leads to more accurate clustering results. The analysis of a case study shows that the netting algorithm is effective and reasonable for clustering orientation data of discontinuities. The study can provide the basis for rapidly and accurately obtaining dominant orientations of discontinuities in rock engineering. It is of great significance in rock mass stability evaluation.

Key words： rock mechanics discontinuities dominant orientation clustering analysis netting algorithm

引用本文:

侯钦宽，雍睿，杜时贵，刘杰，曹泽敏，徐敏娜. 基于编网算法的岩体结构面优势产状聚类分析[J]. 岩石力学与工程学报, 2020, 39(S1): 2871-2881.
HOU Qinkuan，YONG Rui，DU Shigui，LIU Jie，CAO Zemin，XU Minna. A method for clustering orientation data of discontinuities of rock mass based on netting algorithm. , 2020, 39(S1): 2871-2881.

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http://rockmech.whrsm.ac.cn/CN/10.13722/j.cnki.jrme.2019.0865 或 http://rockmech.whrsm.ac.cn/CN/Y2020/V39/IS1/2871

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