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

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。

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 o- and tangential force τ which arrive at ultimate failure state, we establish simple linear regression equation about σ and γ 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 σ≥0. 005, there is a linear relationship between σ and γ; when significance level σ≤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 , c values.