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包含岩石临界状态的Mohr-Wedge准则适用性研究
Research on Applicability of the Mohr-Wedge Criterion Including Rock Critical State
【摘要】 Mohr-Wedge(MW)岩石强度准则是基于岩石楔形破坏力学模型及主应力间的偏微分方程等的理论性公式推导.利用量纲分析整理该准则所含的多个参数,并赋予参数相应的物理意义,可使该准则简单易懂.为分析包含岩石临界状态的MW准则适用性,选取Mohr-Coulomb准则、Hoek-Brown准则和指数准则为比较对象,以平均绝对误差MAE为评价指标,量化比较4个准则预测岩石强度的准确度.结果表明:当围压小于岩石临界状态围压σcr-M时,MW准则具有一定的适用性;当围压大于σcr-M时,4个准则预测的岩石强度因岩石临界状态围压不同而发生偏差.基于此,提出了不同岩石临界状态围压预测岩石强度的方法,可为岩石临界状态围压的取值提供一定的借鉴意义.
【Abstract】 The Mohr-Wedge(MW) strength criterion is a theoretical formula,which is derived based on the rock wedge failure mechanics model and the partial differential equation related to the principal stresses.The MW criterion can be easily understood by using the dimensional analysis to arrange the multiple parameters with corresponding physical meanings.To analyze the applicability of the MW criterion including the rock critical state,the Mohr-Coulomb criterion,the Hoek-Brown criterion and the exponential criterion were selected as the comparison objects,and the average absolute error MAE was used as the evaluation index in order to quantitatively compare the accuracy of the four criteria in predicting rock strength.The results show that when the confining pressure is less than the rock critical state confining pressure σcr-M,the MW criterion has certain applicability.When the confining pressure is greater than σcr-M,the rock strength predicted by the four criteria is different due to the different rock critical state confining pressure.Therefore,a method to predict rock strength under different rock critical state confining pressures was proposed,which can provide some reference for choosing the value of rock critical state confining pressure.
【Key words】 rock critical state; Mohr-Wedge criterion; dimensional analysis; rock strength criterion; confining pressure;
- 【文献出处】 东北大学学报(自然科学版) ,Journal of Northeastern University(Natural Science) , 编辑部邮箱 ,2021年04期
- 【分类号】TU45
- 【被引频次】1
- 【下载频次】132