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Volume 35 Issue 8
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CHEN Li-hong. Correlated and uncorrelated linear regression statistical methods for probabilistic characteristics of shear strength[J]. Chinese Journal of Geotechnical Engineering, 2013, 35(8): 1397-1402.
Citation: CHEN Li-hong. Correlated and uncorrelated linear regression statistical methods for probabilistic characteristics of shear strength[J]. Chinese Journal of Geotechnical Engineering, 2013, 35(8): 1397-1402.
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Correlated and uncorrelated linear regression statistical methods for probabilistic characteristics of shear strength

  • School of Civil Engineering, Beijing Jiaotong University, Beijing 100044, China

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  • Received Date: August 05, 2012
  • Published Date: August 19, 2013
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    • Abstract
  • Calculating the mean value and the standard deviation is the key step to determine the characteristic value of the shear strength parameters. The calculation of the standard deviation is much more difficult than that of the mean value due to the limited sets of strength tests. The traditional linear regression method can not obtain the valid standard deviation of shear strength index. A modified linear regression method capable to calculate the standard deviation of shear strength index is proposed based on the probability theory and the Taylor expansion method. Different assumptions dependent or independent of cohesion and friction coefficient are employed. Considering that the main variation of the shear strength of soil is determined by means of the friction coefficient under the large confining pressure, the problem of sample number can be solved by using all the test results under large pressure together based on the hypothesis that the cohesion and the friction coefficient are uncorrelated. The modified regression method and moment method are adopted to calculate the standard deviation and the correlation coefficient of shear strength indexes of core clay of Xiaolangdi Embankment Dam. The results show that different methods can provide good prediction of the uncertainty of shear strength whether the cohesion and the friction coefficient are correlated or not in assumption. The standard deviations obtained from the moment methods should be used with the coefficient of correlation. When the correlation between the cohesion and the friction coefficient is ignored, the uncorrelated regression methods should be adopted.
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  • [1]
    GB50007—2001 建筑地基基础设计规范[S]GB50007—2001 建筑地基基础设计规范[S].北京:中国建筑工业出版社, 2002.(GB50007—2001 Code for design of building foundation[S](GB50007—2001 Code for design of building foundation[S].Beijing:China Architecture & Building Press, 2002. (in Chinese))
    陈立宏, 陈祖煜, 李广信. 线性回归抗剪强度指标方法的改进[J]. (岩土力学), 2007, 28(7): 1421-1426.(CHEN Li-hong, CHEN Zu-yu, LI Guang-xin. A modified linear regression method to estimate shear strength parameters[J]. Rock and Soil Mechanics, 2007, 28(7): 1421-1426. (in Chinese))
    孙万禾, 杨金良. 土的抗剪强度指标统计方法的分析[J]. (港口工程), 1996(3): 5-16.(SUN Wan-he, YANG Jin-liang. Analysis of statistical methods of shear strength parameters of soil[J]. Harbour Engineering, 1996(3): 5-16. (in Chinese))
    黄传志, 孙万禾. 土的抗剪强度指标统计方法的探讨[J]. (水运工程), 1989(1): 45-51.(HUAN Chuan-zhi, SUN Wan-he. Discussion of statistical methods of shear strength parameters of soil[J]. Port & Waterway Engineering, 1989(1): 45-51. (in Chinese))
    范明桥, 盛金报.土强度指标φ, c的互相关性[J]. (岩土工程学报), 1997, 19(4): 100-104.(FAN Ming-qiao, SHENG Jin-bao. Relation of shear strength parameters of soil φ, c[J]. Chinese Journal of Geotechnical Engineering, 1997, 19(4): 100-104. (in Chinese))
    LUMB P. The variability of natural soils[J]. Canadian Geotechnical Journal, 1966, 30(2): 74-97.
    范明桥. 黏性填筑土强度指标φ, c的概率特性[J]. (岩土工程学报), 2000, 19(4): 100-104.(FAN Ming-qiao. Probabilistic property of shear strength parameters φ, c of refilled clay[J]. Chinese Journal of Geotechnical Engineering, 2000, 19(4): 100-104. (in Chinese))
    谭忠盛, 高 波, 关宝树.隧道围岩抗剪强度指标c, tanφ的概率特征[J]. (岩土工程学报), 1999, 21(6): 760-762.(TAN Zhong-sheng, GAO Bo, GUAN Bao-shu. The probabilistic property of shear strength parameters c and tanφ for rock mass around the tunnel[J]. Chinese Journal of Geotechnical Engineering, 1999, 21(6): 760-762. (in Chinese))
    陈立宏, 陈祖煜, 李广信. 三轴试验抗剪强度指标线性回归方法的讨论[J]. (岩土力学), 2005, 26(11): 1785-1789.(CHEN Li-hong, CHEN Zu-yu, LI Guang-xin. Discussion of linear regression method to estimate shear strength parameters from results of triaxial tests[J]. Rock and Soil Mechanics, 2005, 26(11): 1785-1789. (in Chinese))
    黄委会小浪底工程质量检测联营体. 小浪底主坝防渗体挖坑取样试验及现场检测成果综合分析报告[R]. 郑州: 黄委会小浪底工程质量检测联营体, 2001.(Yellow River Conservancy Commission of the Ministry of Water Resources Xiaolangdi Engineering Quality Inspection Joint Ventrue. Report of digging and sampling experiment of cut-off wall of main dam of Xiaolangdi and comprehensive analysis of site detection results[R]. Zhengzhou: Yellow River Conservancy Commission of the Ministry of Water Resources Xiaolangdi Engineering Quality Inspection Joint Ventrue, 2001. (in Chinese))
    陈立宏. 土石坝固结和稳定的风险与可靠度分析[D]. 北京: 清华大学, 2003.(CHEN Li-hong. Risk and reliability analysis of consolidation and stability of earth-rockfill dams[D]. Beijing: Tsinghua University, 2003. (in Chinese))
    陈立宏, 陈祖煜. 堆石非线性强度特性对高土石坝稳定性的影响[J]. (岩土力学), 2007, 9(28): 1807-1810.(CHEN Li-hong, CHEN Zu-yu. Effect of nonlinear strength of rockfill on slope stability of high earth-rock dam[J]. Rock and Soil Mechanics, 2007, 9(28): 1807-1810. (in Chinese))
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