深埋均质圆形巷道围岩渐进破裂过程解析

doi:10.16265/j.cnki.issn1003-3033.2018.10.020

中国安全科学学报 ›› 2018, Vol. 28 ›› Issue (10): 118-123.doi: 10.16265/j.cnki.issn1003-3033.2018.10.020

深埋均质圆形巷道围岩渐进破裂过程解析

王东教授, 姜聚宇, 韩新平教授

辽宁工程技术大学矿业学院,辽宁阜新 123000

收稿日期:2018-07-05 修回日期:2018-08-20 出版日期:2018-10-28 发布日期:2020-11-20
作者简介:王东 (1978—),男,辽宁法库人,博士,教授,博士生导师,主要从事露天开采及边坡工程方面的教学和科研工作。E-mail:lntu_wd@163.com。
基金资助:
国家自然科学基金重点资助(U1361211);国家自然科学基金资助(51874160);辽宁省高等学校创新人才支持计划项目(LR2016039)。

Analysis of progressive rupture process in surrounding rock for a deep homogeneous and circular opening

WANG Dong, JIANG Juyu, HAN Xinping

College of Mines,Liaoning Technical University,Fuxin Liaoning 123000,China

Received:2018-07-05 Revised:2018-08-20 Online:2018-10-28 Published:2020-11-20

摘要/Abstract

摘要： 为研究巷道围岩破裂区的破坏形式及破坏范围对巷道稳定性的影响,以弹塑性力学中的圆孔应力解为理论基础,利用Mohr-Coulomb屈服准则,研究圆形巷道围岩破裂发展过程;提出巷道围岩子破裂区的概念,推导出子破裂区破裂的判定准则,并给出子破裂区外边界径向应力的计算式及子破裂区半径的计算方法;以相邻子破裂区半径相等作为破裂区不再发展破坏的判据,推导出破裂区的最大半径及最大径向应力求解方程组;通过FLAC^3D数值模拟对理论计算结果进行验证。结果表明:在静水压力场中均质圆形巷道围岩破裂是以圆环形式逐渐发展的动态过程,理论计算与数值模拟得出的破裂区半径相吻合,计算结果可以对地下工程优化支护设计提供理论依据。

关键词: 圆形巷道, 渐进破裂, 子破裂区, 破裂区半径, 迭代计算

Abstract: In order to study the influence of the failure mode and failure scope of surrounding rock rupture zone on the stability of the roadway. Mohr-Coulomb (M-C) yield criteria is used to study the general pattern of rupture progress in the surrounding rock of circular openings on the basis of circular hole analytic solution of stress in elasto-plastic mechanics. The concept of the sub-rupture zone in surrounding rock is proposed,the criterion for rupture of sub-rupture zone is derived, the calculation formula of the radial stress of the outer boundary in the sub-rupture zone and the calculation method of radii in the sub-rupture zone are obtained.The equality of radii of adjacent sub-rupture zones is taken as the criterion of cessation of rupturing in a rupture zone, and is the criterion upon which the solving equations of maximum radius and maximum radial stress are deduced based. The theoretical calculation is verified by the FLAC^3D numerical simulation. The results show that: the ruptureprocess in surrounding rock of homogeneous and circular openings is a dynamic process of gradual development in the mode of annuli under condition of hydrostatic pressure, the theoretical calculation coincides with the radius of the fracture zone obtained by numerical simulation, the results can provide a theoretical basis for the optimal support design of underground engineering.

Key words: circular opening, progressive rupture, sub-rupture zone, rupture zone radius, iterative computation

中图分类号:

X936

王东, 姜聚宇, 韩新平. 深埋均质圆形巷道围岩渐进破裂过程解析[J]. 中国安全科学学报, 2018, 28(10): 118-123.

WANG Dong, JIANG Juyu, HAN Xinping. Analysis of progressive rupture process in surrounding rock for a deep homogeneous and circular opening[J]. China Safety Science Journal, 2018, 28(10): 118-123.

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深埋均质圆形巷道围岩渐进破裂过程解析

Analysis of progressive rupture process in surrounding rock for a deep homogeneous and circular opening

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