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

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.

参考文献

[1] 赵生才.深部高应力下的资源开采与地下工程:香山会议第175次综述[J].地球科学进展,2002,17(2): 295-298.
ZHAO Shengcai.Resource exploitation and underground engineering under deep and high stress-175^th review of Xiangshan Meeting[J]. Advance in Earth Sciences,2002,17(2): 295-298.
[2] 李家卓,谭文峰,李传明,等.近距离煤层群工作面采场围岩失稳机制与控制技术[J].中国安全科学学报,2017,27(5): 122-127.
LI Jiazhuo, TAN Wenfeng, LI Chuanming, et al.Mechanism of instability of surrounding rock of stope in close distance coal seam group and control technology[J]. China Safety Science Journal,2017,27(5): 122-127.
[3] WANG Q, PAN R, JIANG B, et al. Study on failure mechanism of roadway with soft rock in deep coal mine and confined concrete support system[J]. Engineering Failure Analysis,2017,81: 155-177.
[4] 蒋斌松, 张强, 贺永年,等.深部圆形巷道破裂围岩的弹塑性分析[J]. 岩石力学与工程学报, 2007, 26(5):982-986.
JIANG Binsong, ZHANG Qiang, HE Yongnian, et al. Elastoplastic analysis of cracked surrounding rocks in deep circular openings[J]. Chinese Journal of Rock Mechanics and Engineering,2007,26(5):982-986.
[5] CUI Lan, ZHENG Junjie, ZHANG Rongjun, et al. Elasto-plastic analysis of a circular opening in rock mass with confining stress-dependent strain-softening behaviour[J]. Tunnelling and Underground Space Technology,2015,50: 94-108.
[6] ZENG Kaihua, XU Jiaxiong. Unified semi-analytical solution for elastic-plastic stress of deep circular hydraulic tunnel with support yielding[J]. Journal of Central South University,2013,20(6): 1 742-1 749.
[7] 陈梁,茅献彪,李明,等.基于Drucker-Prager准则的深部巷道破裂围岩弹塑性分析[J].煤炭学报,2017,42(2): 484-491.
CHEN Liang, MAO Xianbiao, LI Ming, et al. Elastoplastic analysis of cracked surrounding rock in deep roadway based on Drucker-Prager criterion[J]. Journal of China Coal Society,2017,42(2): 484-491.
[8] 郭晓菲,马念杰,赵希栋,等.圆形巷道围岩塑性区的一般形态及其判定准则[J].煤炭学报,2016,41(8): 1 871-1 877.
GUO Xiaofei, MA Nianjie, ZHAO Xidong, et al. General shapes and criterion for surrounding rock mass plastic zone of round roadway[J]. Journal of China Coal Society,2016,41(8): 1 871-1 877.
[9] 张强, 王水林, 葛修润.圆形巷道围岩应变软化弹塑性分析[J].岩石力学与工程学报,2010,29(5): 1 031-1 035.
ZHANG Qiang, WANG Shuilin, GE Xiurun. Elastoplastic analysis of circular openings in strain-softening rock masses[J]. Chinese Journal of Rock Mechanics and Engineering,2010,29(5): 1 031-1 035.
[10] 张常光,范文,赵均海.深埋圆形巷道围岩塑性区位移及特征曲线新解和参数分析[J].岩土力学,2016,37(1):12-24,32.
ZHANG Changguang, FAN Wen, ZHAO Junhai. New solutions of rock plastic displacement and ground response curve for a deep circular tunnel and parametric analysis[J]. Rock and Soil Mechanics,2016,37(1):12-24,32.
[11] LU Aizhong, XU Guisheng, SUN Fang, et al. Elasto-plastic analysis of a circular tunnel including the effect of the axial in situ stress[J]. International Journal of Rock Mechanics and Mining Sciences,2010,47(1): 50-59.
[12] LI Pengfei, FANG Qian, ZHANG Dingli. Analytical solutions of stresses and displacements for deep circular tunnels with liners in saturated ground[J]. Journal of Zhejiang University-Science A:Applied Physics & Engineering,2014,15(6): 395-404.
[13] SHARAN S K. Elastic-brittle-plastic analysis of circular openings in Hoek-Brown media[J]. International Journal of Rock Mechanics and Mining Sciences,2003,40(6): 817-824.
[14] SHARAN S K. Analytical solutions for stresses and displacements around a circular opening in a generalized Hoek-Brown rock[J]. International Journal of Rock Mechanics and Mining Sciences,2008,45(1): 78-85.
[15] LI Xuefeng, DU Shouji, CHEN Bing. Unified analytical solution for deep circular tunnel with consideration of seepage pressure, grouting and lining[J]. Journal of Central South University,2017,24(6): 1 483-1 493.
[16] ZOU Jinfeng, LI Shuaishuai, XU Yuan, et al. Theoretical solutions for a circular opening in an elastic-brittle-plastic rock mass incorporating the out-of-plane stress and seepage force[J]. KSCE Journal of Civil Engineering,2016,20(2): 687-701.
[17] CHEN R, FULVIO T. Closed-form solutions for a circular tunnel in elastic-brittle-plastic ground with the original and generalized Hoek-Brown failure criteria[J]. Rock Mechanics and Rock Engineering,2011,44(2): 169-178.
[18] ZHANG Changguang, ZHAGN Qinghe, ZHAO Junhai, et al. Unified analytical solutions for a circular opening based on non-linear unified failure criterion[J]. Journal of Zhejiang University SCIENCE A:Applied Physics & Engineering,2010,11(2): 71-79.