Study on critical stress of circular chamber rockburst
PAN Yishan1, 2, GAO Xuepeng1
(1. Key Laboratory of Ministry of Education on Safe Mining of Deep Metal Mines, Northeastern University, Shenyang, Liaoning 110819, China; 2. Institute of Disaster Rock Mechanics, Liaoning University, Shenyang, Liaoning 110136, China)
Abstract：Rockburst is a dynamic disaster characterized by the sudden instability and violent fracturing of chambers under high-stress conditions, with the critical stress serving as the most pivotal indicator. In this study, the maximum load criterion and the maximum potential energy criterion for the occurrence of rockbursts in chambers were proposed, and the theoretical critical stress formulas for rockbursts in circular chambers under hydrostatic pressure were derived. The discrepancy in critical stress derived from the two discrimination criteria is less than 2%. This study indicated that the critical stress was mainly influenced by uniaxial compressive strength, rockburst energy index, internal friction angle, and support stress. The biaxial isobaric loading experiments were conducted on circular chamber specimens of granite gneiss and basalt with dimensions of 150 mm× 150 mm× 50 mm. The average error between the experimental and theoretical values of the critical stress was 2.53%. Comparative analysis with field cases revealed an average ratio of 0.55 between actual stress and critical stress, prompting subsequent refinement of the formula. The application of the critical stress formula was discussed from the aspects of hazard assessment, prevention design, and safety evaluation of chamber rockbursts.
[1] 钱七虎. 岩爆、冲击地压的定义、机制、分类及其定量预测模型[J]. 岩土力学，2014，35(1)：1–6.(QIHU Qian. Definition，mechanism，classification and quantitative forecast model for rockburst and pressure bump[J]. Rock and Soil Mechanics，2014，35(1)：1–6.(in Chinese))
[2] 冯夏庭，陈炳瑞，明华军，等. 深埋隧洞岩爆孕育规律与机制:即时型岩爆[J]. 岩石力学与工程学报，2012，31(3)：433–444.(FENG Xiating，CHEN Bingrui，MING huajun，et al. Evolution law and mechanism of rockbursts in deep tunnels：immediate rockburst[J]. Chinese Journal of Rock Mechanics and Engineering，2012，31(3)：433–444.(in Chinese))
[3] 何满潮，李杰宇，刘冬桥，等. 岩爆机制及其控制[J]. 隧道建设(中英文)，2024，44(7)：1 321–1 336.(HE Manchao，LI Jieyu，LIU Dongqiao，et al. Rockburst mechanism and control[J]. Tunnel Construction，2024，44(7)：1 321–1 336.(in Chinese))
[4] 宫凤强，潘俊锋，江 权. 岩爆和冲击地压的差异解析及深部工程地质灾害关键机制问题[J]. 工程地质学报，2021，29(4)：933–961. (GONG Fengqiang，PAN Junfeng，JIANG Quan. The difference analysis of rock burst and coal burst and key mechanisms of deep engineering geological hazards[J]. Journal of Engineering Geology，2021，29(4)：933–961.(in Chinese))
[5] 谷德振. 中国工程地质学的发展[J]. 地质论评，1982，(2)：180–183.(GU Dezhen. The development of engineering geology in china[J]. Geological Review，1982，(2)：180–183.(in Chinese))
[6] 陶振宇. 高地应力区的岩爆及其判别[J]. 人民长江，1987，(5)：25–32.(TAO Zhenyu. Rockbursts in high geostress areas and their identification[J]. Yangtze River，1987，(5)：25–32.(in Chinese))
[7] 罗贻岭. 隧道施工中岩爆现象的实况与一般的处理方法[J]. 铁路标准设计通讯，1975，(3)：8–17.(LUO Yiling. The reality of rock explosion phenomenon in tunnel construction and general treatment methods[J]. Railway Standard Design，1975，(3)：8–17.(in Chinese))
[8] 侯发亮，王敏强. 圆形隧洞中岩爆的判据及防治措施[C]// 岩石力学在工程中的应用——第二次全国岩石力学与工程学术会议论文集. [S. l.]：[s. n.]，1989：195–201.(HOU Faliang，WANG Minqiang. Criteria and prevention measures for rock burst in circular tunnels[C]// Application of Rock Mechanics in Engineering—Proceedings of the Second National Conference on Rock Mechanics and Engineering. [S. l.]：[s. n.]，1989，195–201.(in Chinese))
[9] 谭以安. 岩爆形成机制研究[J]. 水文地质工程地质，1989，(1)：34–38.(TAN Yi?an. The mechanism research of rockburst[J]. Hydrogeology and Engineering Geology，1989，(1)：34–38.(in Chinese))
[10] 姚宝魁，张承娟. 高地应力坝区硐室围岩岩爆及其断裂破坏机制[J]. 水文地质工程地质，1985，(6)：17–20.(YAO Baokui，ZHANG Chengjuan. Rock burst and fracture failure mechanism of surrounding rock in high stress dam area[J]. Hydrogeology and Engineering Geology，1985，(6)：17–20.(in Chinese))
[11] 冯夏庭，肖亚勋，丰光亮, 等. 岩爆孕育过程研究[J]. 岩石力学与工程学报，2019，38(4)：649–673.(FENG Xiating，XIAO Yaxun，FENG Guangliang，et al. Study on the development process of rockbursts[J]. Chinese Journal of Rock Mechanics and Engineering，2019，38(4)：649–673.(in Chinese))
[12] ZHANG Y，FENG X T，YAO Z B，et al. Failure characteristics and development mechanism of fault rockburst in a deep TBM tunnel：A case study[J]. Acta Geotechnica，2023，18(10)：5 575–5 596.
[13] HE M C，CHENG T，QIAO Y F，et al. A review of rockburst：experiments，theories，and simulations[J]. Journal of Rock Mechanics and Geotechnical Engineering，2023，15(5)：1 312–1 353.
[14] 李鹏翔，陈炳瑞，周扬一，等. 硬岩岩爆预测预警研究进展[J]. 煤炭学报，2019，44(增2)：447–465.(LI Pengxiang，CHEN Bingrui，ZHOU Yangyi，et al. Research progress of rockburst prediction and early warning in hard rock underground engineering[J]. Journal of China Coal Society，2019，44(Supp.2)：447–465.(in Chinese))
[15] 宫凤强，代金豪，王明洋，等. 高地应力“强度&应力”耦合判据及其分级标准[J]. 工程地质学报，2022，30(6)：1 893–1 913. (GONG Fengqiang，DAI Jinhao，WANG Mingyang，et al.“strength and stress”coupling criterion and its grading standard for high geostress[J]. Journal of Engineering Geology，2022，30(6)：1 893–1 913. (in Chinese))
[16] 李鹏翔，彭剑平，张博超，等. 一种新的岩爆等级评估指标及其在某超埋深矿井中的应用[J]. 金属矿山，2024，(1)：191–196.(LI Pengxiang，PENG Jianping，ZHANG Bochao，et al. A novel rockburst proneness criterion and its application in an over buried mine[J]. Metal Mine，2024，(1)：191–196.(in Chinese))
[17] 何佳其，吝曼卿，刘夕奇，等. 引入梯度应力的岩爆预测方法[J]. 岩土工程学报，2020，42(11)：2 098–2 105.(HE Jiaqi，LIN Manqing，LIU Xiqi，et al. New method for introducing gradient stress into rock-burst prediction[J]. Chinese Journal of Geotechnical Engineering，2020，42(11)：2 098–2 105.(in Chinese))
[18] LI T B，MA C C，ZHU M L，et al. Geomechanical types and mechanical analyses of rockbursts[J]. Engineering Geology，2017，222：72–83.
[19] FRANTZISKONIS G，DESAI C S. Constitutive model with strain softening[J]. International Journal of Solids and Structures，1987，23(6)：733–750.
[20] 王水林，郑 宏，刘泉声，等. 应变软化岩体分析原理及其应用[J]. 岩土力学，2014，35(3)：609–622.(WANG Shuilin，ZHENG Hong，LIU Quansheng，et al. Principle of analysis of strain-softening rock mass and its application[J]. Rock and Soil Mechanics，2014，35(3)：609–622.(in Chinese))
[21] 潘一山，章梦涛，李国臻. 稳定性动力准则的圆形洞室岩爆分析[J]. 岩土工程学报，1993，15(5)：59–66.(PAN Yishan，ZHANG Mengtao，LI Guozhen. Analysis on circular chamber rockburst by dynamic stability criterion[J]. Chinese Journal of Geotechnical Engineering，1993，15(5)：59–66.(in Chinese))
[22] PAN Y S，WANG A W. Disturbance response instability theory of rock bursts in coal mines and its application[J]. Geohazad Mechanics，2023，1(1)：1–17.
[23] 宫凤强，赵英杰，王云亮，等. 煤的冲击倾向性研究进展及冲击地压“人–煤–环”三要素机理[J]. 煤炭学报，2022，47(5)：1 974–2 010. (GONG Fengqiang，ZHAO Yingjie，WANG Yunliang，et al. Research progress of coal bursting liability indices and coal burst “human–coal–environment” three elements mechanism[J]. Journal of China Coal Society，2022，47(5)：1 974–2 010.(in Chinese))
[24] 中华人民共和国国家标准编写组. GB/T 25217.2—2010 冲击地压测定、监测与防治方法 第2部分：煤的冲击倾向性分类及指数的测定方法[S]. 北京：中国标准出版社，2010.(The National Standards Compilation Group of People?s Republic of China. GB/T 25217.2—2010 Methods for test，monitoring and prevention of rock burstpart 2：classification and laboratory test method on bursting liability of coal[S]. Beijing：Standards Press of China，2010.(in Chinese))
[25] JAEGER J C，COOK N G W，ZIMMERMAN R W. Fundamentals of rock mechanics[M]. Hoboken：Wiley-Blackwell Publishing，2007：257–268.
[26] 潘一山. 煤矿冲击地压[M]. 北京：科学出版社，2018：86–89.(PAN Yishan. Rockburst in coal mine[M]. Beijing：Science Press，2018：86–89.(in Chinese))
[27] 中华人民共和国国家标准编写组. GB 50287—2016 水力发电工程地质勘察规范[S]. 北京：中国计划出版社，2016.(The National Standards Compilation Group of People?s Republic of China. GB 50287—2016 Code for geological investigation on hydro-power engineering[S]. Beijing：China Planning Press，2016.(in Chinese))
[28] RUSSENES B F. Analysis of rock spalling for tunnels in steep valley sides[M. S. Thesis][D]. Norway：Norwegian Institute of Technology，1974.
[29] HOEK E，BROWN E T. Underground excavations in rock[M]. Florida：CRC Press，1980：211–221.
[30] 徐林生，王兰生. 二郎山公路隧道岩爆发生规律与岩爆预测研究[J]. 岩土工程学报，1999，21(5)：569–572.(XU Linsheng，WANG Lansheng. Study on the laws of rockburst and its forecasting in the tunnel of Erlang mountain road[J]. Chinese Journal of Geotechnical Engineering，1999，21(5)：569–572.(in Chinese))
[31] TURCHANINOV I A，MARKOV G A. Conditions of changing of extra-hard rock into weak rock under the influence of tectonic stresses of massifs[C]// Proceedings of the ISRM International Symposium. International Society for Rock Mechanics. Tokyo：[s. n.]，1981：555–559.
[32] BARTON N，LIEN R，LUNDE J. Engineering classification of rock masses for the design of tunnel support[J]. Rock Mechanics，1974，6：189–236.
[33] 张镜剑，傅冰骏. 岩爆及其判据和防治[J]. 岩石力学与工程学报，2008，27(10)：2 034–2 042.(ZHANG Jingjian，FU Bingjun. Rockburst and its criteria and control[J]. Chinese Journal of Rock Mechanics and Engineering，2008，27(10)：2 034–2 042.(in Chinese))
[34] 刘润田，张雪楣，刘吉兴. 玲珑金矿花岗岩岩爆倾向性的实验研究[J]. 山西建筑，2014，40(15)：57–59.(LIU Runtian，ZHANG Xuemei，LIU Jixing. Experimental study on the rock burst tendency of the granite in linglong gold mine[J]. Shanxi Architecture，2014，40(15)：57–59.(in Chinese))
[35] 赵同彬，谭云亮，张 泽. 大台井深部水平岩爆的地质力学机制分析[J]. 煤炭学报，2010，35(12)：2 039–2 044.(ZHAO Tongbin，TAN Yunliang，ZHANG Ze. Geomechanical mechanism of rock burst in deep level of Datai mine[J]. Journal of China Coal Society，2010，35(12)：2 039–2 044.(in Chinese))
[36] 贾愚如，范正绮. 水工地下洞室中的岩爆机制与判据[J]. 水力发电，1990，(6)：30–34.(JIA Yuru，FAN Zhengqi. Rock burst mechanism and criteria in hydraulic underground caverns[J]. Water Power，1990，(6)：30–34.(in Chinese))
[37] 周亚萍，姜海波. 深埋高地应力水工隧洞地应力特征及岩爆脆性破坏深度预测研究[J]. 隧道建设(中英文)，2022，42(增1)：321–330. (ZHOU Yaping，JIANG Haibo. Research on in-situ stress characteristics of deep-buried high-in-situ hydraulic tunnel and prediction of rockburst brittle failure depth[J]. Tunnel Construction，2022，42(Supp.1)：321–330.(in Chinese))
[38] 李 准，苗勇刚，夏志远. 深部矿山巷道岩爆倾向性预测及防治技术研究[J]. 有色金属(矿山部分)，2021，73(3)：41–47.(LI Zhun，MIAO Yonggang，XIA Zhiyuan. Study on rockburst tendency prediction and prevention technology of deep mine roadway[J]. Nonferrous Metals(Mining Section)，2021，73(3)：41–47.(in Chinese))
[39] 饶运章，李雪珍. 基于实际冲击能量指数(w)的岩爆预测技术研究[J]. 黄金科学技术，2015，23(4)：63–67.(RAO Yunzhang，LI Xuezhen. Research on rock burst prediction technology based on the actual impact energy index(w)[J]. Gold Science and Technology，2015，23(4)：63–67.(in Chinese))
[40] 王鹏程. 新老二郎山隧道岩爆发育特征及对比研究[硕士学位论文][D]. 成都：成都理工大学，2018.(WANG Pengcheng. Study on the rock burst development characteristics of new and old Erlang mountain tunnels and their comparision[M. S. Thesis][D]. Chengdu：Chengdu University of Technology，2018.(in Chinese))
[41] 李 涛，李晓静. 岩石单轴和三轴压缩实验和力学特性分析[J]. 江西建材，2015，(4)：222–224.(LI Tao，LI Xiaojing. Rock uniaxial and triaxial compression experiments and mechanical property analysis[J]. Jiangxi Building Materials，2015，(4)：222–224.(in Chinese))
[42] 吴德兴，杨 健. 苍岭特长公路隧道岩爆预测和工程对策[J]. 岩石力学与工程学报，2005，24(21)：3 965–3 971.(WU Dexing，YANG Jian. Prediction and countermeasure for rockburst in Cangling mountain highway tunnel[J]. Chinese Journal of Rock Mechanics and Engineering，2005，24(21)：3 965–3 971.(in Chinese))
[43] 赵周能，冯夏庭，肖亚勋，等. 不同开挖方式下深埋隧洞微震特性与岩爆风险分析[J]. 岩土工程学报，2016，38(5)：867–876.(ZHAO Zhouneng，FENG Xiating，XIAO Yaxun，et al. Microseismic characteristics and rockburst risk of deep tunnel constructed by different excavation methods[J]. Chinese Journal of Geotechnical Engineering，2016，38(5)：867–876.(in Chinese))
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