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K-S检验在裂隙岩体统计均质区划分中的应用
引用本文:阮云凯,陈剑平,曹琛,闫欢.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.
作者姓名:阮云凯  陈剑平  曹琛  闫欢
基金项目:国家自然科学基金重点资助项目(41330636); 国家自然科学基金资助项目 (41402242,41402243); 吉林大学研究生创新基金资助项目(2014062).
摘    要:采用K-S检验法,提出考虑裂隙岩体迹长的新方法来划分岩体的统计均质区,计算对比样本各属性的累积频率、K-S统计量和K-S临界值,从而验证对比样本之间的显著性差异,以此实现了对裂隙岩体的统计均质区的划分.通过对云南省马吉水电站左岸坝肩某一高程相邻两个平洞不同风化带的岩体结构统计均质区划分,计算结果表明,相邻两个平洞在弱风化下限、微风化及新鲜岩带内具有统计相似性,可以划分为统计均质区,而在弱风化上限不具有统计相似性;单个平洞在各个风化带内不具有统计相似性.此外,该方法可以运用到小样本裂隙的统计均质区划分中.

关 键 词:裂隙岩体  统计均质区  K-S检验法  随机数学  裂隙迹长  

Application of K-S Test in Structural Homogeneity Dividing of Fractured Rock Mass
RUAN Yun-kai,CHEN Jian-ping,CAO Cen,YAN Huan.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.
Authors:RUAN Yun-kai  CHEN Jian-ping  CAO Cen  YAN Huan
Abstract:Based on K-S test, a new method was proposed to identify statistically homogeneous regions in a fractured rock mass by considering trace length of joints. The cumulative frequencies of each attribute of contrasting samples, the K-S statistical quantity and the K-S critical values were calculated to validate the significant difference between the comparative samples, based on which, the structural homogeneity of fractured rock mass was divided. This method was used to analyze the effect of the trace length on statistically homogeneity division in the fractured rock mass at two adjacent adits in different weathered zone at the Maji dam site on the left bank of the Nu River in Yunnan province. It was calculated that the rock mass at two adjacent adits shows statistical similarity in the lower limit of weak weathering, slightly weathering and fresh rock zones,and can be divided into statistically homogeneous areas, however it shows no statistical similarity in the upper limit of weak weathering. The rock mass at a single adit shows no statistical similarity in the every division of weathering. In addition, the proposed method can be applied to identify the dividing of joint samples with small sizes.
Keywords:fractured rock mass  statistical homogeneity of rock mass structure  K-S test  stochastic mathematics  trace length of joints  
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