摘要
分析了多个实际工程错动带抗剪强度参数的分布特点和Beta分布的优点,认为Beta分布可有效地拟合错动带黏聚力和摩擦系数的分布规律,探讨了Beta分布参数的确定方法。根据白鹤滩水电站31组错动带的黏聚力和摩擦系数,得到了两者的Beta分布概率密度函数,很好地解决了正态分布和对数正态分布数据负值和无限的问题,且具有良好的灵活性,可根据实际错动带抗剪强度参数的样本数据反映其右偏态、正态或左偏态。采用A-D法检验了错动带抗剪强度参数的Beta分布概率密度函数,通过偏转换法得到了转换后的A-D检验统计量,并与相应的临界值进行对比,结果表明白鹤滩水电站错动带抗剪强度参数服从Beta分布。
The distribution characteristics of the weak interlayers in rockmass of several projects and the advantages of Beta distribution are analyzed. It reflects that the Beta distribution can effectively fit the distribution of the cohesion strength and coefficient factors of the weak interlayers. The methods for determining the parameters in Beta distribution are discussed. The Beta probability density functions of the cohesion strength and coefficient factors of the weak interlayers are derived according to 31 groups of test results in Baihetan Power Station. Compared with normal distribution and lognormal distribution,the Beta distribution is found to be effective in avoiding negative and infinite parameters. It has flexibility in reflecting the real distribution with right skewness,normality or left skewness. A-D test is carried out to test the Beta probability density functions of the shear strength parameters of the weak interlayers.The A-D test statistics obtained by biased transformation method are compared with the critical value,which indicates that Beta distribution is suitable for fitting the shear strength parameters of the weak interlayers in Baihetan Power Station.
出处
《地下空间与工程学报》
CSCD
北大核心
2014年第6期1250-1256,共7页
Chinese Journal of Underground Space and Engineering
基金
国家自然科学基金(11102219)
关键词
错动带
概率密度函数
BETA分布
黏聚力
摩擦系数
weakness interlayer
probability density function
Beta distribution
cohesion strength
coefficient factor
