玄武岩力学参数的随机性统计与概率分布估计  

Stochastic statistics and probability distribution estimation of mechanical parameters of basalt

作　　者：江权[1] 崔洁[1] 冯夏庭[1] 刘国锋[1] 王百林[2] 刘挺[2] 吕勇刚[3] JIANG Quan CUI Jie FENG Xia-ting LIU Guo-feng WANG Bai-lin LIU Ting LU Yong-gang(State Key Laboratory of Geomechanics and Geotechnical Engineering, Institute of Rock and Soil Mechanics, Chinese Academy of Sciences, wuhan, Hubei 430071, China Ningho Highway Construction Headquarters, Ningbo, Zhejiang 315100, China CCCC Highway Consultants Co., Ltd., Beijing 100082, China)

机构地区：[1]中国科学院武汉岩土力学研究所岩土力学与工程国家重点试验室,湖北武汉430071 [2]宁波市高等级公路建设指挥部,浙江宁波315100 [3]中交公路规划设计院有限公司,北京100082

出　　处：《岩土力学》2017年第3期784-792,共9页Rock and Soil Mechanics

基　　金：国家自然科学基金资助项目(No.51379202;No.41372315)~~

摘　　要：充分认识岩石力学参数的随机性和合理评估其概率分布特征是客观评价岩石工程稳定性的基础。以白鹤滩大型水电站的斜斑玄武岩和杏仁玄武岩为研究对象,对各约50个试样进行单轴压缩试验获得大量全应力-应变曲线。采用统计分析和假设检验的方法,研究了两种玄武岩的特征强度、变形参数、特征应变和破裂面角度的随机分布特征和最优的概率密度函数形式。分析结果揭示:离散性是玄武岩的固有属性,只有一定数量的多次重复试验才能可靠地评估其基本力学特性;两种玄武岩的特征强度、变形参数、特征应变和破裂面角度的最优概率分布形式并不一致,分别为正态分布、对数正态分布、Weibull分布和Weibull分布。该试验的统计分析结果可为深入认识火成岩的变形破坏规律和工程安全可靠度或失效概率研究提供试验数据支撑。Fully understanding the randomness of rock mechanical parameters and reasonably evaluating its probability distribution are the basis for the objective evaluation of rock engineering stability. About 50 specimens of each kind of igneous rock, i.e. devonite basalt and amygdaloidal basalt gained from the Baihetan Project, are used for uniaxial compression tests respectively. The stochastic distribution characteristics and the optimal probability density function form of characteristic strength, deformation parameter, characteristic strain and fracture surface angle of basalt are studied by means of statistical analysis and hypothesis test. The analysis results show that the discretization is an inherent property of basalt, and only a certain number of repeated tests can reliably assess its basic mechanical properties. The optimal probability distributions of the two kinds of basalt, including the characteristic strength, the deformation parameter, the characteristic strain and the fracture surface angle, are not the same, which are normal distribution, lognormal distribution, Weibull distribution and Weibull distribution. The statistical analysis results can not only enrich our knowledge about rock deformation and failure, but also provide experimental proof for further reliability analysis of geotechnical engineering.

关 键 词：玄武岩 力学参数 随机特征 概率分布 硬岩 

分 类 号：TU451[建筑科学—岩土工程]