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

Abstract
Figure/Table
References (0)
Related Citation (15)

Download: PDF (2363 KB) HTML (1 KB)
Export: BibTeX | EndNote (RIS)

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

	Service

	E-mail this article
	Add to my bookshelf
	Add to citation manager
	E-mail Alert
	RSS
	Articles by authors
	HOU Qinkuan
	YONG Rui
	DU Shigui
	LIU Jie
	CAO Zemin
	XU Minna

Cite this article:

HOU Qinkuan,YONG Rui,DU Shigui, et al. A method for clustering orientation data of discontinuities of rock mass based on netting algorithm[J]. , 2020, 39(S1): 2871-2881.

URL:

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

[31]	赵汝怀. 弗晰聚类的编网法[J]. 西安交通大学学报，1980，14(4)：29–36.(ZHAO Ruhuai. Netting method of fuzzy clustering[J]. Journal of Xi'an Jiaotong University，1980，14(4)：29–36.(in Chinese))
[18]	JIMENEZ R. Fuzzy spectral clustering for identification of rock discontinuity sets[J]. Rock Mechanics and Rock Engineering，2008，41：929–939.
[40]	LE C H，FRELI C. A cluster-validity index combining an overlap measure and a separation measure based on fuzzy-aggregation operators[J]. IEEE Trans on Fuzzy Systems，2011，19(3)：580–588.
[1]	陈剑平，石丙飞，王清. 工程岩体随机结构面优势方向的表示法初探[J]. 岩石力学与工程学报，2005，24(2)：241–245.(CHEN Jianping，SHI Bingfei，WANG Qing. Study on the dominant orientations of random fractures of fractured rock masses[J]. Chinese Journal of Rock Mechanics and Engineering，2005，24(2)：241–245.(in Chinese))
[33]	袁谷. 鉴别烯烃和烷基环己烷质谱的模糊编网法[J]. 质谱学报，1987，8(4)：53–57.(YUAN Gu. Fuzzy network method for identifying mass spectrometry of olefin and alkyl cyclohexane[J]. Journal of Chinese Mass Spectrometry Society，1987，8(4)：53–57.(in Chinese))
[11]	HAMMAH R E，CURRAN J H. On distance measures for the fuzzy K-means algorithm for joint data[J]. Rock Mechanics and Rock Engineering，1999，32(1)：1–27.
[21]	卢波，丁秀丽，邬爱清. 岩体随机不连续面产状数据划分方法研究[J]. 岩石力学与工程学报，2007，26(9)：1 809–1 816.(LU Bo，DING Xiuli，WU Aiqing. Study on method of orientation data partitioning of randomly distributed discontinuities of rocks[J]. Chinese Journal of Rock Mechanics and Engineering，2007，26(9)：1 809–1 816.(in Chinese))
[26]	宋腾蛟，陈剑平，张文，等. 基于萤火虫算法的岩体结构面优势产状聚类分析[J]. 东北大学学报：自然科学版，2015，36(2)：284–287.(SONG Tengjiao，CHEN Jianping，ZHANG Wen，et al. Clustering analysis of dominative attitudes of rock mass structural plane based on firefly algorithm[J]. Journal of Northeastern University：Natural Science，2015，36(2)：284–287.(in Chinese))
[28]	莱尔. 地质构造研究之极射赤平投影技术[M]. 张大昌，译. 北京：海洋出版社，2010：40–43.(LAI Er. Stereographic projetion techniques for geologists and civil Engineers[M]. Translated by ZHANG Dachang. Beijing：China Ocean Press，2010：40–43.(in Chinese))
[32]	贺钟雄. 模糊数学及其应用[M]. 天津：天津科学技术出版社，1983：165–169.(HE Zhongxiong. Fuzzy mathematics and its application[M]. Tianjing：Tianjin Science and Technology Press，1983：165–169.(in Chinese))
[34]	张钟澍. 一个FUZZY聚类分析的快速算法[J]. 成都信息工程学院学报，1992，(3)：45–50.(ZHANG Zhongshu. An efficient algorithm for fuzzy cluster analysis[J]. Journal of Chengdu University of Information Technology，1992，(3)：45–50.(in Chinese))
[2]	刘恺，李启月，李夕兵，等. 岩体结构面非典型数据集的优势组提取方法[J]. 岩石力学与工程学报，2017，36(增2)：4 018–4 024. (LIU Kai，LI Qiyue，LI Xibing，et al. A dominant group determination method for atypical data sets of rock joint occurrences[J]. Chinese Journal of Rock Mechanics and Engineering，2017，36(Supp.2)：4 018– 4 024.(in Chinese))
[30]	孙其国. 模糊聚类分析法在结构面产状分组中的应用[J].化工矿物与加工，1997，26(1)：57–59.(SUN Qiguo. Application of fuzzy clustering analysis in grouping of discontinuities[J]. Industrial Minerals and Processing，1997，26(1)：57–59.(in Chinese))
[3]	LIU J，ZHAO X D，XU Z H. Identification of rock discontinuity sets based on a modified affinity propagation algorithm[J]. International Journal of Rock Mechanics and Mining Sciences，2017，94：32–42.
[6]	孙宪春，万力，蒋小伟. 节理产状分组的k均值聚类分析及其分组结果的费歇尔分布验证法[J]. 岩土力学，2008，29(增1)：533–537.(SUN Xianchun，WAN Li，JIANG Xiaowei. Study on the dominant orientations of random fractures of fractured rock masses[J]. Rock and Soil Mechanics，2008，29(Supp.1)：533–537.(in Chinese))
[7]	YE J. A netting method for clustering-simplified neutrosophic information[J]. Soft Computing，2017，21：7 571–7 577.
[9]	陈剑平，石丙飞，王清. 工程岩体随机结构面优势方向的表示法初探[J]. 岩石力学与工程学报，2005，24(2)：241–245.(CHEN Jianping，SHI Bingfei，WANG Qing. Study on the dominant orientations of random fractures of fractured rock masses[J]. Chinese Journal of Rock Mechanics and Engineering，2005，24(2)：241–245.(in Chinese))
[17]	JIMENEZ R，SITAR N. A spectral method for clustering of rock discontinuity sets[J]. International Journal of Rock Mechanics and Mining Sciences，2006，43：1 052–1 061.
[19]	蔡美峰，王鹏，赵奎，等. 基于遗传算法的岩体结构面的模糊C均值聚类方法[J]. 岩石力学与工程学报，2005，24(3)：371–376.(CAI Meifeng，WANG Peng，ZHAO Kui，et al. Fuzzy C-means cluster analysis based on genetic algorithm for automatic identification of joint sets[J]. Chinese Journal of Rock Mechanics and Engineering，2005，24(3)：371–376.(in Chinese))
[27]	黄磊. 测线取样法引起的岩体结构面几何偏差纠正[博士学位论文][D]. 武汉：中国地质大学，2014. (HUANG Lei. Geometric bias correction of discontinuity in rockmass caused by line sampling[Ph. D. Thesis][D]. Wuhan：China University of Geosciences，2014.(in Chinese))
[29]	梁保松，曹殿立. 模糊数学及其应用[M]. 北京：科学出版社，2007：153–156.(LIANG Baosong，CAO Dianli. Fuzzy mathematics and its application [M]. Beijing：Science Press，2007：153–156.(in Chinese))
[36]	黄思翔，何建平. 基于模糊相似关系的大样本动态聚类编网法设计[J]. 广东药学院学报，1994，10(2)：104–106.(HUANG Sixiang，HE Jianping. Design of large sample dynamic clustering network based on fuzzy similarity relation[J]. Journal of Guangdong Pharmaceutical University，1994，10(2)：104–106.(in Chinese))
[37]	WANG Z，XU Z，LIU S，et al. A netting clustering analysis method under intuitionistic fuzzy environment[J]. Applied Soft Computing，2011，11(8)：5 558–5 564.
[39]	XIE X L，BENI G. A validity measure for fuzzy clustering[J]. IEEE Transactions on Pattern Analysis and Machine Intelligence，1991，13(8)：841–847.
[41]	贾洪彪，唐辉明，刘佑荣，等. 岩体结构面三维网格模拟理论与工程应用[M]. 北京：科学出版社，2008：48–54 (JIA Hongbiao，TANG Huiming，LIU Yourong，et al. Theory and engineering application of 3-D network modeling of discontinuities in rockmass[M]. Beijing：Science Press，2008：48–54.(in Chinese))
[4]	MAFFUCCI R，BIGI S，CORRADO S，et al. Quality assessment of reservoirs by means of outcrop data and “discrete fracture network” models：The case history of Rosario de La Frontera(NW Argentina) geothermal system[J]. Tectonophysics，2015，647/648：112–131.
[8]	SHANLEY R J，MAHTAB M A. Delineation and analysis of clusters in orientation data[J]. Journal of the International Association for Mathematical Geology，1976，8(1)：9–23.
[10]	HAMMAH R E，CURRAN J H. Fuzzy cluster algorithm for the automatic identification of joint sets[J]. International Journal of Rock Mechanics and Mining Sciences，1998，35(7)：889–905.
[12]	HAMMAH R E，CURRAN J H. Validity measures for the fuzzy cluster analysis of orientation[J]. Transactions on Pattern Analysis and Machine Intelligence，2000，22(12)：1 467–1 472.
[13]	ZHOU W，MAERZ N H. Implementation of multivariate clustering methods for characterizing discontinuities data from scanline sand oriented boreholes[J]. Computers and Geosciences，2002，28(7)：827–839.
[14]	TOKHMECHI B，MEMARIAN H，MOSHIRI B，et al. Investigating the validity of conventional joint set clustering methods[J]. Engineering Geology，2011，118：75–81.
[16]	范雷，王亮清，唐辉明. 节理岩体结构面产状的动态聚类分析[J]. 岩土力学，2007，28(11)：2 405–2 408.(FAN Lei，WANG Liangqing，TANG Huiming. Dynamic cluster analysis of discontinuity orientations of jointed rock mass[J]. Rock and Soil Mechanics，2007，28(11)：2 405–2 408.(in Chinese))
[20]	李宁，王李管，贾明涛，等. 改进遗传算法和支持向量机的岩体结构面聚类分析[J]. 岩土力学，2014，35(增2)：405–411.(LI Ning，WANG Liguan，JIA Mingtao，et al. Dynamic cluster analysis of discontinuity orientations of jointed rock mass[J]. Rock and Soil Mechanics，2014，35(Supp.2)：405–411.(in Chinese))
[22]	XU L M，CHEN J P，WANG Q，et al. Fuzzy C-means cluster analysis based on mutative scale chaos optimization algorithm for the grouping of discontinuity sets[J]. Rock Mechanics and Rock Engineering，2013，46(1)：189–198.
[23]	LI X B，WANG Z W，PENG K，et al. Ant colony ATTA clustering algorithm of rock mass structural plane in groups[J]. Journal of Central South University，2014，21(2)：709–714.
[24]	LI Y Y，WANG Q，CHEN J P，et al. K-means algorithm based on particle swarm optimization for the identification of rock discontinuity sets[J]. Rock Mechanics Rock Engineering，2015，48(1)：375–385.
[5]	PARK H J，WEST T R，WOO I. Probabilistic analysis of rock slope stability and random properties of discontinuity parameters，Interstate Highway 40，Western North Carolina，USA[J]. Engineering Geology，2005，79(3/4)：230–250.
[15]	周玉新，周志芳，孙其国，等. 岩体结构面产状的综合模糊聚类分析[J]. 岩石力学与工程学报，2005，24(13)：2 283–2 287.(ZHOU Yuxin，ZHOU Zhifang，SUN Qiguo，et al. Synthetical fuzzy clustering analysis for joints occurrence of rock mass[J]. Chinese Journal of Rock Mechanics and Engineering，2005，24(13)：2 286–2 287.(in Chinese))
[25]	宋腾蛟，陈剑平，张文，等. 基于人工蜂群算法的岩体结构面多参数优势分组研究[J]. 岩土力学，2015，36(3)：861–868.(SONG Tengjiao，CHEN Jianping，ZHANG Wen，et al. Clustering analysis of dominative attitudes of rock mass structural plane based on firefly algorithm[J]. Rock and Soil Mechanics，2015，36(3)：861–868.(in Chinese))
[35]	张志文. 用模糊数学法评价矿体可崩性[J]. 金属矿山，1993，(9)：20–23.(ZHANG Zhiwen. Evaluation of ore body cavability by fuzzy mathematical method[J]. Metal Mine，1993，(9)：20–23.(in Chinese))
[38]	刘来权，陈燕，雷燕瑞. 模糊C均值聚类算法的有效性检验研究[J]. 软件，2017，38(2)：16–18.(LIU Laiquan，CHEN Yan，LEI Yanrui. Research on the validity of fuzzy C mean clustering algorithm[J]. Computer engineering and Software，2017，38(2)：16–18.(in Chinese))