玄武岩力学参数的随机性统计与概率分布估计

发布时间：2018-07-25 09:40

【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。
[Abstract]:Fully understanding the randomness of rock mechanics parameters and evaluating its probability distribution characteristics are the basis of objectively evaluating the stability of rock engineering. A large number of full stress-strain curves were obtained by uniaxial compression tests on 50 samples of almond basalt and cline basalt of Baihetan Hydropower Station. By means of statistical analysis and hypothesis test, the characteristics of random distribution of characteristic strength, deformation parameters, characteristic strain and angle of fracture surface and the optimal form of probability density function of two basalts are studied. The results show that discreteness is the inherent attribute of basalt, only a certain number of repeated tests can reliably evaluate its basic mechanical properties, the characteristic strength and deformation parameters of the two basalts, The optimal probability distributions of the characteristic strain and the angle of fracture surface are different, they are normal distribution, logarithmic normal distribution and Weibull distribution, respectively. The statistical analysis results of the test can provide experimental data for further understanding the deformation and failure law of igneous rock and the study of engineering safety reliability or failure probability.
【作者单位】：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;宁波市高等级公路建设指挥部;中交公路规划设计院有限公司;
【基金】：国家自然科学基金资助项目(No.51379202,No.41372315)~~
【分类号】：TU45

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