二维K-S检验法在岩体统计均质区划分中的应用

刘健; 陈亮; 王驹; 李亚伟; 王春萍

doi:10.11779/CJGE201912025

二维K-S检验法在岩体统计均质区划分中的应用 English Version

核工业北京地质研究院环境工程研究所,北京 100029

详细信息

作者简介:
刘健(1982— ),男,博士,高级工程师,主要从事高放废物地质处置等方面的科研。E-mail: liujian0430@163.com。

中图分类号: TU42
计量
- 文章访问数: 269
- HTML全文浏览量: 4
- PDF下载量: 268
出版历程
- 收稿日期: 2019-02-01
- 发布日期: 2019-12-24

Application of 2D K-S tests to evaluating statistical homogeneity of rock mass

Division of Environment Engineering, Beijing Research Institute of Uranium Geology, Beijing 100029, China

摘要

摘要: 在常规的岩体统计均质区划分方法中,产状数据相似性判定结果通常会受到投影图子区划分方案的影响,并且不适用于小样本数据。为解决上述问题,引入二维K-S检验法进行产状数据相似性判定。首先介绍了K-S检验法的基本原理,继而根据二维K-S检验法提出了产状数据相似性判定的具体算法,并利用算例验证了算法对小样本产状数据的适用性。最后,针对北山坑探设施斜坡道进行了应用和验证。提出的算法不需要进行投影图子区划分,适用于小样本数据,为岩体统计均质区划分提供了一种新手段。
- 节理 /
- 统计均质区 /
- 产状 /
- K-S检验
Abstract: The conventional methods for evaluating the statistical homogeneity of jointed rock usually give different conclusions about the similarity of the same occurrence data under different schemes for sub-partitions of the projection. Besides, these methods are generally unsuitable for small samples. In order to solve the above problems, the 2D K-S test is proposed to determine the similarity of occurrence data. The basic principle of K-S test is firstly introduced and the detailed algorithm for applying the 2D K-S tests to determining the similarity of occurrence data is then presented. Finally, the proposed algorithm is tested and verified by case studies and is successfully applied to evaluating the statistical homogeneity of the ramp of the Beishan exploration tunnel. The proposed algorithm does not need sub-partition and has been proven to be suitable for small samples. This study may provide a new approach to the evaluation of the statistical homogeneity of jointed rock mass.
- joint /
- statistical homogeneity /
- occurrence /
- K-S test

HTML全文

参考文献(25)

[1]	陈剑平, 肖树芳, 王清. 随机不连续面三维网络计算机模拟原理[M]. 长春: 东北师范大学出版社, 1995. (CHEN Jian-ping, XIAO Shu-fang, WANG Qing.Principles of computer simulation for randomly-distributed 3D discrete fracture network[M]. Changchun: Northeast Normal University Press, 1995. (in Chinese))
[2]	MILLER S M.A statistical method to evaluate homogeneity of structural populations[J]. Mathematical Geology, 1983, 15(2): 317-328.
[3]	KULATILAKE P H S W, WATHUGALA D N, POULTON M, et al. Analysis of structural homogeneity of rock masses[J]. Engineering Geology, 1990, 29(3): 195-211.
[4]	KULATILAKE P H S W, CHEN J, TENG J, et al. Discontinuity geometry characterization in a tunnel close to the proposed permanent shiplock area of the Three Gorges Dam Site in China[J]. International Journal of Rock Mechanics and Mining Science & Geomechanics Abstracts, 1996, 33(3): 255-277.
[5]	陈剑平, 王清, 肖树芳, 等. 岩体结构统计均质区的划分[J]. 地质灾害与环境保护, 1996, 7(1): 19-24. (CHEN Jian-ping, WANG Qiang, XIAO Shu-fang, et al.Evaluation of statistical homogeneity of rock mass structure[J]. Journal of Geological Hazards and Environment Preservation, 1996, 7(1): 19-24. (in Chinese))
[6]	肖尚斌, 张艳君. 蒲石河抽水蓄能电站地下厂房区岩体结构统计均质区划分[J]. 东北水利水电, 1997, 158(8): 39-41. (XIAO Shang-bin, ZHANG Yan-jun.Evaluation of statistical homogeneity of rock mass structure in underground tunnels of Pushuihe pumped storage power station[J]. Water Resources and Hydropower in Northeast, 1997, 158(8): 39-41. (in Chinese))
[7]	张文, 陈剑平, 刘存合, 等. 卡方检验在裂隙岩体统计均质区划分中的应用研究[J]. 岩土工程学报, 2011, 33(9): 1440-1446. (ZHANG Wen, CHEN Jian-ping, LIU Cun-he, et al.Application of chi-square test in structural homogeneity dividing of fractured rock mass[J]. Chinese Journal of Geotechnical Engineering, 2011, 33(9): 1440-1446. (in Chinese))
[8]	阮云凯, 陈剑平, 李严严, 等. 基于裂隙产状和迹长划分岩体统计均质区研究[J]. 岩土力学, 2016, 37(7): 2028-2032. (RUAN Yun-kai, CHEN Jian-ping, LI Yan-yan, et al.Identification of homogeneous structural domains of jointed masses based on joint occurrence and trace length[J]. Rock and Soil Mechanics, 2016, 37(7): 2028-2032. (in Chinese))
[9]	阮云凯, 陈剑平, 占洁伟, 等. 多参数统计均质区划分——以马吉水电站为例[J]. 岩土工程学报, 2017, 39(1): 148-153. (RUAN Yun-kai, CHEN Jian-ping, ZHAN Jie-wei, et al.Multivariate method for identifying structural domain boundaries: an example from Maji Hydropower Station in China[J]. Chinses Journal of Geotechnical Engineering, 2017, 39(1): 148-153. (in Chinese))
[10]	魏翔, 杨春和. 钻孔岩体裂隙几何参数确定方法及其应用[J]. 岩石力学与工程学报, 2015, 34(9): 1758-1766. (WEI Xiang, YANG Chun-he.Research and application of a geometric parameter determination method for drilling rock aperture[J]. Chinese Journal of Rock Mechanics and Engineering, 2015, 34(9): 1758-1766. (in Chinese))
[11]	魏翔, 杨春和, 刘鹏君, 等. 钻孔裂隙岩体结构均质区划分方法研究[J]. 岩土工程学报, 2016, 38(11): 2101-2106. (WEI Xiang, YANG Chun-he, LIU Peng-jun, et al.Zoning method for structural homogeneity of drilling fractured rock mass[J]. Chinese Journal of Geotechnical Engineering, 2016, 38(11): 2101-2106. (in Chinese))
[12]	杨春和, 包宏涛, 王贵宾, 等. 岩体节理平均迹长和迹线中点面密度估计[J]. 岩石力学与工程学报, 2006, 25(12): 2475-2480. (YANG Chun-he, BAO Hong-tao, WANG Gui-bin, et al.Estimation of mean trace length and trace midpoint density of rock mass joints[J]. Chinese Journal of Rock Mechanics and Engineering, 2006, 25(12): 2475-2480. (in Chinese))
[13]	郭亮, 李晓昭, 王益壮, 等. 岩体结构均质区划分法的适用性研究[J]. 岩土力学, 2013, 34(10): 2928-2937. (GUO Liang, LI Xiao-zhao, WANG Yi-zhuang, et al.Applicability research on structural homogeneity delineation of rock masses[J]. Rock and Soil Mechanics, 2013, 34(10): 2928-2937. (in Chinese))
[14]	MARTIN M W, TANNANT D D.A technique for identifying structural domain boundaries at the EKATI Diamand Mine[J]. Engineering Geology, 2004, 74: 247-264.
[15]	阮云凯, 陈剑平, 李严严, 等. 基于WLSM的多参数裂隙岩体统计均质区划分[J]. 岩土工程学报, 2016, 38(7): 1277 -1282.(RUAN Yun-kai, CHE Jian-ping, LI Yan-yan, et al. Evaluation of statistical homogeneity of jointed rock masses based on weighted least-square method[J]. Chinese Journal of Geotechnical Engineering, 2016, 38(7): 1277-1282. (in Chinese))
[16]	阮云凯, 陈剑平, 曹琛, 等. K -S 检验在裂隙岩体统计均质区划分中的应用[J]. 东北大学学报(自然科学版), 2015, 36(10): 1471-1475. (RUAN Yun-kai, CHEN Jian-ping, CAO Chen, et al.Application of K-S test in structural homogeneity dividing of fractured rock mass[J]. Journal of Northeastern University (Natural Science), 2015, 36(10): 1471-1475. (in Chinese))
[17]	滕素珍, 冯敬海. 数理统计学[M]. 4版. 大连: 大连理工大学出版社, 2005. (TENG Su-zhen, FENG Jing-hai.Mathematical statistics[M]. 4th ed. Dalian: Dalian University of Technology Press, 2005. (in Chinese))
[18]	PEACOCK J A.Two-dimensional goodness-of-fit testing in astronomy[J]. Monthly Notices of the Royal Astronomical Society, 1983, 202(3): 615-627.
[19]	FASANO G, FRANCESCHINI A.A multidimensional version of the Kolmogorov-Smirnov test[J]. Monthly Notices of the Royal Astronomical Society, 1987, 225: 155-170.
[20]	LOPES R H C, REID I, HOBSON P R. The two-dimensional Kolmogorov-Smirnov test[C]// Proceedings of XI International Workshop on Advanced Computing and Analysis Techniques in Physics Research. Amsterdam, 2007: 1-12.
[21]	FISHER R.Dispersion on a sphere[C]// Proceedings of the Royal Society A: Mathematical, Physical and Engineering Sciences. London, 1953: 295-305.
[22]	何秉顺, 丁留谦, 孙平. 三维激光扫描系统在岩体结构面识别中的应用[J]. 中国水利水电科学研究院学报, 2007, 5(1): 43-48. (HE Bing-shun, DING Liu-qian, SUN Ping.The Application of 3-D laser scanning technology in rock joint sets identification[J]. Journal of China Institute of Water Resources and Hydropower Research, 2007, 5(1): 43-48. (in Chinese))
[23]	王述红, 张紫杉, 王存根, 等. 岩体结构面产状随机分布空间表征[J]. 东北大学学报(自然科学版), 2017, 38(1): 121-125. (WANG Shu-hong, ZHANG Zi-shan, WANG Cun-gen, et al.Stochastic spatial characterization of structural plane occurrence in rock mass[J]. Journal of Northeastern University (Natural Science), 2017, 38(1): 121-125. (in Chinese))
[24]	刘健, 陈亮, 王春萍, 等. 观测方位和面积对节理密度表征指标的影响-算例分析[C]// 第七届废物地下处置学术研讨会. 上海, 2018: 53-59. (LIU Jian, CHEN Liang, WANG Chun-ping, et al.Case study on influence of outcrop orientation and area on joint density indexes[C]//7^th Symposium of Underground Disposal of Waste. Shanghai, 2018: 53-59. (in Chinese))
[25]	WANG J, CHEN L, SU R, et al.The Beishan underground research laboratory for geological disposal of high-level radioactive waste in China: planning, site selection, site characterization and in situ tests[J]. Journal of Rock Mechanics and Geotechnical Engineering, 2018, 10(3): 411-435.

施引文献(11)

期刊类型引用(5)

1.	熊金波，左小华，徐文彬. 凸型边坡露天境界外矿体开采稳定性研究. 现代矿业. 2022(05): 64-67+73 . 百度学术
2.	王余鹏. 露天弃碴场边坡失稳破坏与防治策略研究——以白鹤山隧道弃碴场为例. 长沙大学学报. 2021(02): 44-49 . 百度学术
3.	张嘉凡，高壮，程树范，张慧梅. 煤岩HJC模型参数确定及液态CO_2爆破特性研究. 岩石力学与工程学报. 2021(S1): 2633-2642 . 百度学术
4.	杨建华，代金豪，姚池，蒋水华，姜清辉. 岩石高边坡爆破开挖损伤区岩体力学参数弱化规律研究. 岩土工程学报. 2020(05): 968-975 . 本站查看
5.	王志，秦文静，张丽娟. 含裂隙岩石注浆加固后静动态力学性能试验研究. 岩石力学与工程学报. 2020(12): 2451-2459 . 百度学术