包含岩石临界状态的Mohr-Wedge准则适用性研究

doi:10.12068/j.issn.1005-3026.2021.04.016

东北大学学报（自然科学版） ›› 2021, Vol. 42 ›› Issue (4): 567-575.DOI: 10.12068/j.issn.1005-3026.2021.04.016

包含岩石临界状态的Mohr-Wedge准则适用性研究

张晶¹，任凤玉¹，何荣兴¹，欧阳治华²

(1. 东北大学资源与土木工程学院，辽宁沈阳110819; 2. 武汉科技大学资源与环境工程学院，湖北武汉430081)

修回日期:2020-10-28 接受日期:2020-10-28 发布日期:2021-04-15
通讯作者: 张晶
作者简介:张晶(1990－)，男，湖北荆州人，东北大学博士研究生；任凤玉(1956-)，男，内蒙古赤峰人，东北大学教授，博士生导师.
基金资助:
国家重点研发计划项目(2016YFC0801601)；国家自然科学基金重点资助项目(51534003).

Research on Applicability of the Mohr-Wedge Criterion Including Rock Critical State

ZHANG Jing¹， REN Feng-yu¹， HE Rong-xing¹， OUYANG Zhi-hua²

1. School of Resources & Civil Engineering， Northeastern University， Shenyang 110819， China; 2. College of Resources and Environmental Engineering， Wuhan University of Science and Technology， Wuhan 430081， China.

Revised:2020-10-28 Accepted:2020-10-28 Published:2021-04-15
Contact: HE Rong-xing
About author:-
Supported by:
-

摘要/Abstract

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σ_○cr-M时，MW准则具有一定的适用性;当围压大于σ_○cr-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.

关键词: 岩石临界状态;Mohr-Wedge准则;量纲分析;岩石强度准则;围压

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 σ_○cr-M， the MW criterion has certain applicability. When the confining pressure is greater than σ_○cr-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

中图分类号:

TU45

张晶，任凤玉，何荣兴，欧阳治华. 包含岩石临界状态的Mohr-Wedge准则适用性研究[J]. 东北大学学报（自然科学版）, 2021, 42(4): 567-575.

ZHANG Jing， REN Feng-yu， HE Rong-xing， OUYANG Zhi-hua. Research on Applicability of the Mohr-Wedge Criterion Including Rock Critical State[J]. Journal of Northeastern University(Natural Science), 2021, 42(4): 567-575.

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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

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