基于K-means聚类方法和Ⅰ Index聚类有效性检验指标的岩体结构面自动分组及应用
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摘要
岩体结构面产状数据的统计分组是工程地质、水文地质工作中基础但十分重要的环节。常用的倾向、走向玫瑰花图和极点等密度图人为主观因素大,需借助合适的数学手段对结构面产状数据进行客观划分。基于Kmeans聚类方法和Ⅰ Index聚类有效性检验指标,提出了一种岩体结构面自动分组方法,并开发了岩体结构面自动分组程序RDAP。通过与经典文献进行对比,验证了所提分组方法的可靠性。最后,以某工程为例,使用RDAP对实测涌水裂隙资料进行了预处理,初步计算了灌浆钻孔的最佳方位,为工程涌水的防治提供了依据。
Classifying the orientations of rock discontinuities is a fundamental but critically important routine of engineering geology and hydrogeology. The commonly-used rose diagrams of dip directions and strikes and poles to orientations are subjective. It is appreciated to resort to mathematical approaches. In this paper,an automatic grouping method is proposed based on the algorithms of K-means cluster analysis and cluster validity index I,and a Rock Discontinuities Auto-classification Program(RDAP) is developed. By comparing with Shanley and Mahtab's result(1976),the reliability of the new grouping method or RDAP is verified. In the end,RDAP is used to cluster the gushing fractures to aid in the selection of the optimum position of grouting drillings of a project,which provides a basis for the prevention and control of water gushing.
Classifying the orientations of rock discontinuities is a fundamental but critically important routine of engineering geology and hydrogeology. The commonly-used rose diagrams of dip directions and strikes and poles to orientations are subjective. It is appreciated to resort to mathematical approaches. In this paper,an automatic grouping method is proposed based on the algorithms of K-means cluster analysis and cluster validity index I,and a Rock Discontinuities Auto-classification Program(RDAP) is developed. By comparing with Shanley and Mahtab's result(1976),the reliability of the new grouping method or RDAP is verified. In the end,RDAP is used to cluster the gushing fractures to aid in the selection of the optimum position of grouting drillings of a project,which provides a basis for the prevention and control of water gushing.
引文
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[13]刘健,陈亮,王春萍,等.不同距离计算标准和有效性指标组合方案对节理优势组划分的影响研究[J].岩石力学与工程学报,2015,34(增1):3151-3159.
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[2]田开铭,万力.各向异性裂隙介质渗透性的研究与评价[M].北京:学苑出版杜,1989.
[3]SHANLEY R,MAHTAB M.Delineation and Analysis of Clusters in Orientation Data[J].Journal of the International Association for Mathematical Geology,1976,8(1):9-23.
[4]HAMMAH R,CURRAN J.Fuzzy Cluster Algorithm for the Automatic Identification of Joint Sets[J].International Journal of Rock Mechanics and Mining Sciences,1998,35(7):889-905.
[5]KLOSE C D,SEO S,OBERMAYER K.A New Clustering Approach for Partitioning Directional Data[J].International Journal of Rock Mechanics and Mining Sciences,2005,42(2):315-321.
[6]JIMENEZ-RODRIGUEZ R,SITAR N.A Spectral Method for Clustering of Rock Discontinuity Sets[J].International Journal of Rock Mechanics and Mining Sciences,2006,43(7):1052-1061.
[7]TOKHMECHI B,MEMARIAN H,MOSHIRI B,et al.Investigating the Validity of Conventional Joint Set Clustering Methods[J].Engineering Geology,2011,118(3/4):75-81.
[8]潘别桐,徐光黎.用统计窗法确定岩石节理规模[J].工程勘察,1990,(5):16-20.
[9]徐继先,许兵,王思敬.岩体结构随机模型模拟方法[J].地质科学,1988,(3):272-282.
[10]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.
[11]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):2405-2408.
[12]冯羽,马凤山,巩城城,等.节理岩体结构面优势产状确定方法研究[J].工程地质学报,2011,19(6):887-892.
[13]刘健,陈亮,王春萍,等.不同距离计算标准和有效性指标组合方案对节理优势组划分的影响研究[J].岩石力学与工程学报,2015,34(增1):3151-3159.
[14]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):1809-1816.
[15]王千,王成,冯振元,等.K-means聚类算法研究综述[J].电子设计工程,2012,(7):21-24.
[16]MAULIK U,BANDYOPADHYAY S.Performance Evaluation of Some Clustering Algorithms and Validity Indices[J].IEEE Transactions on Pattern Analysis and Machine Intelligence,2002,24(12):1650-1654.
[17]马国彦,常振华.岩体灌浆排水锚固理论与实践[M].北京:中国水利水电出版社,2003.