Stochastic statistics and probability distribution estimation of mechanical parameters of basalt

JIANG Quan; CUI Jie; FENG Xia-ting; LIU Guo-feng; WANG Bai-lin; LIU Ting; Lü Yong-gang

doi:10.16285/j.rsm.2017.03.022

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Stochastic statistics and probability distribution estimation of mechanical parameters of basalt

更新时间：2026-06-25

- Stochastic statistics and probability distribution estimation of mechanical parameters of basalt
- Vol. 38, Issue 3, Pages: 784-792(2017)
- 作者机构：
  
  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
- 作者简介：
- 基金信息：
- DOI：10.16285/j.rsm.2017.03.022
  CLC： TU451
- Online First：05 June 2018，
  
  Published：2017
- 稿件说明：
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JIANG Quan, CUI Jie, FENG Xia-ting, et al. Stochastic statistics and probability distribution estimation of mechanical parameters of basalt[J]. 2017, 38(3): 784-792.
DOI：

JIANG Quan, CUI Jie, FENG Xia-ting, et al. Stochastic statistics and probability distribution estimation of mechanical parameters of basalt[J]. 2017, 38(3): 784-792. DOI： 10.16285/j.rsm.2017.03.022.

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 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.

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