卡方检验在裂隙岩体统计均质区划分中的应用研究  

Application of chi-square test in structural homogeneity dividing of fractured rock mass

作　　者：张文[1] 陈剑平[1] 刘存合[2] 马建全[1] 张晨[1] 

机构地区：[1]吉林大学建设工程学院,吉林长春130026 [2]国电华北电力设计院工程有限公司,北京100120

出　　处：《岩土工程学报》2011年第9期1440-1446,共7页Chinese Journal of Geotechnical Engineering

基　　金：国家自然科学基金项目(40872170);高校博士学科点专项科研基金项目(20090061110054);吉林大学"985"计划项目(450070021107)

摘　　要：岩体统计均质区的研究一直是岩土工程中的重要问题。在基于随机数学的基础上,充分考虑了不连续面的产状(倾向、倾角)、迹长、张开度、起伏状态,通过列联表卡方检验法,验证对比样本之间的显著性差异与否,以此实现了对裂隙岩体的统计均质区的划分。研究区域统计均质区为18～90 m和108～144 m。由于岩体不连续面分布的不均匀性,造成了统计均质区分布随研究空间的变化而产生明显的差异,通过改变对比样本之间的空间布局,验证了统计均质区空间效应的存在性,并在基于空间效应的基础上进行了统计均质区的划分,计算得出研究区域统计均质区为18～57 m和108～144 m。The study on structural homogeneity dividing has attracted attention in geotechnical engineering.The occurrence（dip and dip angle）,trace length,width and shape of discontinuity are fully considered by means of stochastic mathematics,and the structural homogeneity of fractured rock mass is divided based on the contingency table chi-square tests which can validate the difference between samples.The dividing method is more accurate because it takes more parameters,which reflect the feature of rock mass.The structural homogeneity areas are 18~90 m and 108~144 m,respectively.However,there are some defects which neglect detailed difference of the compared samples.Therefore,the spatial effect of the structural homogeneity dividing is introduced.Because the distribution of the rock mass discontinuities is heterogeneous,the dividing of the structural homogeneity varies obviously with change of the study space.The spatial effect of the structural homogeneity dividing is proved to exist through changing the space of the compared samples,and the structural homogeneity is divided based on the spatial effect.The structural homogeneity areas considering the spatial effect are 18~57 m and 108~144 m,respectively.

关 键 词：统计均质区 随机数学 卡方检验 空间效应 

分 类 号：TU457[建筑科学—岩土工程]