基于莫尔圆的煤岩体σ-τ一元线性回归模型检验
Examination of Simple Linear Regression Model for Coal-rock σ-τ Based on Mohr Circle
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摘要: 测量岩石的黏聚力和内摩擦角是非常重要的，而测量得出的数值可信度到底有多高也是值得关注的。通过取若干组试件达到极限破坏状态时的法向力σ和切向力τ ，建立σ关于τ的一元线性回归方程，并编写了相应程序解得最佳c、φ值，进一步对回归方程进行检验，最终发现当取显著性水平α≥0.005时，τ与σ之间有线性关系，当取显著性水平α≤0.001，无线性关系，结果表明得到的φ，c值都是在一定的可信度下。由此可见必须选取最合适的可信度，以得到最佳的c、φ值。Abstract: It is very important to get the value of rock cohesion and internal friction angle, besides, the measured value's credibility is also worthy of our attention. So, by taking several groups of specimens of normal force σ and tangential force τ which arrive at ultimate failure state, we establish simple linear regression equation about σ and τ to test the regression equation, and compile corresponding program to get best solution of φ and c, and carry out further test of regression equation. At last, we found that when significance level α≥0.005, there is a linear relationship between σ and τ; when significance level α≤0.001, there is linear relationship. The results show that the φ, c values are under certain credibility. Therefore we must choose the most appropriate credibility in order to get the best φ, c values.
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[1] Tianshou Ma. Wellbore stability analysis and well path optimization based on the breakout width model and Mogi-Coulomb criterion [J]. Journal of Petroleum Science and Engineering.2015,135:678-701. [2] 刘善均.莫尔圆求解c、φ值的最佳拟合[J].四川大学学报（工程科学版）,2002,34(6):40-42. [3] 蔡美峰.岩石力学与工程[M].北京:科学出版社,2002. [4] GB/T 50266—99 工程岩体试验方法标准[S]. [5] SL 264—2001 水利水电工程岩石试验规范[S]. [6] GB/T 2356—2009煤与岩石物理力学性质测定方法[S]. [7] 张荣立.采矿工程设计手册[M].北京:煤炭工业出版社,2010. [8] 钟波.数理统计[M].北京:高等教育出版社，2015. [9] 俞茂宏.强度理论百年总结[J].力学进展,2004,38(4):529-560. [10] 周维垣.高等岩石力学[M].北京:水利电力出版社,1989. [11] 李大勇.莫尔圆极点确定的新方法[J].岩土力学,2015,36(4):1622-1626. [12] 王开荣.应用数值分析[M].北京:高等教育出版社,2010. [13] 陈艳华.试算法在多维非稳态导热问题中的应用[J].建筑节能,2010,38(227):68-70. [14] 谭浩强.C语言程序设计教程[M].北京:高等教育出版社, 2006 . [15] TANG Huanling. Advanced SemiBoost-CR Categorization Model Utilizing Confidence-Based Resampling [J].Journal of Frontiers of Computer Science and Technology. 2011,5(11)：1048-1056.
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