Research on the time-lagged deformation properties of sandstone under #br#
different unloading stress paths
WANG Yu1,2,ZHENG Zihua2,LI Jin2,XIA Houlei2
(1. Hubei Key Laboratory of Disaster Prevention and Mitigation,China Three Gorges University,Yichang,Hubei 443002,China;2. Key Laboratory of Geological Hazards on Three Gorges Reservoir Area of Ministry of Education,
China Three Gorges University,Yichang,Hubei 443002,China)
Abstract:With the deep underground excavation of hard brittle surrounding rock,time-lagged rockburst frequently happens in high geostress environment. Considering the influence effect of unloading stress path,triaxial time-lagged deformation failure test and scanning electron microscopy(SEM) have been performed under different unloading confining pressure rates and different unloading confining pressure degree. A series of tests is to study the time-lagged deformation and failure characteristics of sandstone under different influence factors. The results indicated that the total time of time-lagged deformation stage exhibited increasing and then decreasing trends with the confining pressure unloading rates,and it exhibited decreasing trends with the confining pressure unloading levels. However,compared with unloading confining pressure with constant axial stress tests,the total time of time-lagged deformation stage under unloading confining pressure with loading axial stress tests was longer. Based on this and combining macroscopic observations,the time-lagged deformation failure was more significant under unloading confining pressure with loading axial stress tests. Additionally,through SEM image observation and EDS analysis,it indicated that mineral debris on fracture surface were closely related to the total time of time-lagged deformation stage under different influencing factors conditions. Finally,according to renormalization group theory,the staged damage constitutive model based on logistics function was established,and the effectiveness and rationality of model was proved. These research results can be used as a theoretical reference to study the development process of time-lagged rockburst.
王 宇1,2,郑子华2,黎 瑾2,夏厚磊2. 不同卸荷应力路径下砂岩时滞变形破坏特征研究[J]. 岩石力学与工程学报, 2023, 42(S1): 3400-3414.
WANG Yu1,2,ZHENG Zihua2,LI Jin2,XIA Houlei2. Research on the time-lagged deformation properties of sandstone under #br#
different unloading stress paths. , 2023, 42(S1): 3400-3414.
[1] 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))
[2] 何满潮,苗金丽,李德建,等. 深部花岗岩试样岩爆过程实验研究[J]. 岩石力学与工程学报,2007,26(5):865–876.(HE Manchao,MIAO Jinli,LI Dejian,et al. Study on rockburst processes of granite specimen at great depth[J]. Chinese Journal of Rock Mechanics and Engineering,2007,26(5):865–876.(in Chinese))
[3] 陈炳瑞,冯夏庭,明华军,等. 深埋隧洞岩爆孕育规律与机制:时滞型岩爆[J]. 岩石力学与工程学报,2012,31(3):561–569.(CHEN Bingrui,FENG Xiating,MING Huajun,et al. The law and mechanism of rockburst in deep tunnels:Time-lag rockburst[J]. Chinese Journal of Rock Mechanics and Engineering,2012,31(3):561–569.(in Chinese))
[4] 李 忠,汪俊民. 重庆陆家岭隧道岩爆工程地质特征分析与防治措施研究[J]. 岩石力学与工程学报,2005,24(18):3 398–3 402.(LI Zhong,WANG Junmin. Geological characters of rockburst in Lujialing tunnel and its prvention methods[J]. Chinese Journal of Rock Mechanics and Engineering,2005,24(18):3 398–3 402.(in Chinese))
[5] 周德培,洪开荣. 太平驿隧洞岩爆特征及防治措施[J]. 岩石力学与工程学报,1995,14(2):171–178.(ZHOU Depei,HONG Kairong. Rockburst characteristics and prevention measures of Taipingyi Tunnel[J]. Chinese Journal of Rock Mechanics and Engineering,1995,14(2):171–178.(in Chinese))
[6] 徐鹏飞,邓华锋,张恒宾,等. 不同应力水平下砂岩时滞性单轴压缩破坏特性研究[J]. 岩土力学,2021,42(11):3 041–3 078.(XU Pengfei,DENG Huafeng,ZHANG Hengbin,et al. Time-lag uniaxial compression failure characteristics of sandstone under different stress levels[J]. Rock and Soil Mechanics,2021,42(11):3 041–3 078.(in Chinese))
[7] 李江腾,曹 平,袁海平. 岩石亚临界裂纹扩展试验及门槛值研究[J]. 岩土工程学报,2006,28(3):415–418.(LI Jiangteng,CAO Ping,YUAN Haiping. Study on subcritical crack growth and thresholds of rocks[J]. Chinese Journal of Geotechnical Engineering,2006,28(3):415–418.(in Chinese))
[8] 李夕兵,陈正红,曹文卓,等. 不同卸荷速率下大理岩破裂时效特性与机制研究[J]. 岩土工程学报,2017,39(9):1 565–1 574.(LI Xibing,CHEN Zhenghong,CAO Wenzhuo,et al. Time-effect properties and mechanisms of marble failure under different unloading rates[J]. Chinese Journal of Geotechnical Engineering,2017,39(9):1 565–1 574.(in Chinese))
[9] 杨艳霜,周 辉,梅松华,等. 高地应力硬脆性围岩开挖损伤区时效性扩展案例分析——特征与机制[J]. 岩土力学,2020,41(4): 1 357–1 365.(YANG Yanshuang,ZHOU Hui,MEI Songhua,et al. A case study of the excavation damage zone expansion time effect in hard brittle country rock under high geostress:Characteristics and mechanism[J]. Rock and Soil Mechanics,2020,41(4):1 357–1 365.(in Chinese))
[10] 曹文贵,赵明华,刘成学. 基于Weibull分布的岩石损伤软化模型及其修正方法研究[J]. 岩石力学与工程学报,2004,23(19):3 226–3 231.(CAO Wengui,ZHAO Minghua,LIU Chengxue. Study on the model and its modifying method for rock softening and damage based on Weibull random distribution[J]. Chinese Journal of Rock Mechanics and Engineering,2004,23(19),3 226–3 231.(in Chinese))
[11] 李海潮,张 升. 基于修正Lemaitre应变等价性假设的岩石损伤模型[J]. 岩土力学,2017,38(5):1 321–1 334.(LI Haichao,ZHANG Sheng. A constitutive damage model of rock based on the assumption of modified Lemaitre strain equivalence hypothesis[J]. Rock and Soil Mechanics,2017,38(5):1 321–1 334.(in Chinese))
[12] 李建林,王瑞红,蒋昱州,等. 砂岩三轴卸荷力学特性试验研究[J]. 岩石力学与工程学报,2010,29(10):2 034–2 041.(LI Jianlin,WANG Ruihong,JIANG Yuzhou,et al. Experimental study of sandstone mechanical properties by unloading triaxial tests[J]. Chinese Journal of Rock Mechanics and Engineering,2010,29(10):2 034–2 041.(in Chinese))
[13] 温 韬,唐辉明,刘佑荣,等. 影响因子修正的新型岩石损伤统计本构模型[J]. 中国矿业大学学报,2016,45(1):141–149.(WEN Tao,TANG Huiming,LIU Yourong,et al. Newly modified damage statistical constitutive model of rock based on impact factor[J]. Journal of China University of Mining and Technology,2016,45(1):141–149.(in Chinese))
[14] 孙梦成,徐卫亚,王苏生,等. 基于最小耗能原理的岩石损伤本构模型研究[J]. 中南大学学报:自然科学版,2018,49(8):2 067– 2 075.(SUN Mengcheng,XU Weiya,WANG Susheng,et al. Study on damage constitutive model of rock based on principle of minimum dissipative energy[J]. Journal of Central South University:Science and Technology,2018,49(8):2 067–2 075.(in Chinese))
[15] 殷志强,李夕兵. 围压卸荷条件下砂岩损伤与动态破碎特性研究[J]. 中国安全科学学报,2013,23(1):90–94.(YIN Zhiqiang,LI Xibing. Research on damage and dynamic fragmentation characteristics of sandstone under unloading with confining pressers[J]. China Safety Science Journal,2013,23(1):90–94.(in Chinese))
[16] 王瑞红,蒋昱州,李建林,等. 卸荷损伤对节理岩体变形特性影响研究[J]. 岩石力学与工程学报,2016,35(增2):3 747–3 755.(WANG Ruihong,JIANG Yuzhou,LI Jianlin,et al. Effect of unloading damage on deformation characteristics of jointed rock mass[J]. Chinese Journal of Rock Mechanics and Engineering,2016,35(Supp.2):3 747–3 755. (in Chinese))
[17] 周科平,胡振襄,李杰林,等. 基于核磁共振技术的大理岩卸荷损伤演化规律研究[J]. 岩石力学与工程学报,2014,33(增2):3 523–3 530.(ZHOU Keping,HU Zhenxiang,LI Jielin,et al. Study of marble damage evolution laws under unloading conditions based on nuclear magnetic resonance technique[J]. Chinese Journal of Rock Mechanics and Engineering,2014,33(Supp.2):3 523–3 530.(in Chinese))
[18] 王成虎,高桂云,杨树新,等. 基于中国西部构造应力分区的川藏铁路沿线地应力的状态分析与预估[J]. 岩石力学与工程学报,2019,38(11):2 242–2 253.(WANG Chenghu,GAO Guiyun,YANG Shuxin,et al. Analysis and prediction of stress fields of Sichuan—Tibet railway area based on contemporary tectonic stress field zoning in Western China[J]. Chinese Journal of Rock Mechanics and Engineering,2019,38(11):2 242–2 253.(in Chinese))
[19] 邱士利,冯夏庭,张传庆,等. 不同初始损伤和卸荷路径下深埋大理岩卸荷力学特性试验研究[J]. 岩石力学与工程学报,2012,31(8):1 686–1 697.(QIU Shili,FENG Xiating,ZHANG Chuanqing,et al. Experimental research on mechanical properties of deep marble under different initial damage levels and unloading paths[J]. Chinese Journal of Rock Mechanics and Engineering,2012,31(8):1 686–1 697.(in Chinese))
[20] 胡 帅,马洪素,任奋华,等. 不同卸荷速率下北山花岗岩力学特性试验研究[J]. 金属矿山,2017,(2):36–42.(HU Shuai,MA Hongsu,REN Fenhua,et al. Experimental research on the mechanical properties of Beishan granite under different unloading rates[J]. Metal Mine,2017,(2):36–42.(in Chinese))
[21] 张 超,杨楚卿,白 允. 岩石类脆性材料损伤演化分析及其模型方法研究[J]. 岩土力学,2021,42(9):2 344–2 354.(ZHANG Chao,YANG Chuqing,BAI Yun. Investigation of damage evolution and its model of rock-like brittle materials[J]. Rock and Soil Mechanics,2021,42(9):2 344–2 354.(in Chinese))
[22] 何满潮,苗金丽,李德建,等. 深部花岗岩试样岩爆过程试验研究[J]. 岩石力学与工程学报,2007,26(5):865–876.(HE Manchao,MIAO Jinli,LI Dejian,et al. Experimental study of rock burst processes of granite specimen at great depth[J].Chinese Journal of Rock Mechanics and Engineering,2007,26(5):865–876.(in Chinese))
[23] 藕明江,周宗红,王友新,等. 不同卸荷速率条件下岩爆碎屑破坏特征分析[J]. 中国安全生产科学技术,2017,13(11):97–103.(OU Mingjiang,ZHOU Zonghong,WANG Youxin,et al. Analysis on failure characteristics of rock burst fragments under different unloading rate condition[J]. Journal of Safety Science and Technology,2017,13(11):97–103.(in Chinese))
[24] 左建平,谢和平,周宏伟,等. 温度–拉应力共同作用下砂岩破坏的断口形貌[J]. 岩石力学与工程学报,2007,26(12):2 444–2 457. (ZUO Jianpin,XIE Hepin,ZHOU Hongwei,et al. Fractography of sandstone failure under temperature-tensile stress coupling effects[J]. Chinese Journal of Rock Mechanics and Engineering,2007,26(12):2 444–2 457.(in Chinese))
[25] 赵 康,赵红宇,贾群燕. 岩爆岩石断裂的微观结构形貌分析及岩爆机制[J]. 爆炸与冲击,2015,35(6):913–918.(ZHAO Kang, ZHAO Hongyu,JIA Qunyan. An analysis of rockburst fracture micro morphology and study of its mechanism[J]. Explosion and Shock Waves,2015,35(6):913–918.(in Chinese))
[26] WANG Y,QIAO Q N,LI J L. The effect of initial creep damage on unloading failure properties of sandstone from macro-mesoscopic perspective[J]. PeriodicaPolytechnica:Civil Engineering,2019,63(4):1 004–1 015.
[27] 黄梦宏. 岩石损伤演化模型和损伤临界值理论与实验研究[硕士学位论文][D]. 长沙:中南大学,2003.(HUANG Menghong. Theoretical and experimental research on rock damage evolution model and damage critical value[M. S. Thesis][D]. Changsha:Hunan University,2003.(in Chinese))
[28] 刘 镇,周翠英,朱凤贤,等. 软岩饱水软化过程微观结构演化的临界判据[J]. 岩土力学,2011,32(3):661–666.(LIU Zhen,ZHOU Cuiying,ZHU Fengxian,et al. Critical criterion for microstructure evolution of soft rocks in softening process[J]. Rock and Soil Mechanics,2011,32(3):661–666.(in Chinese))
[29] OLAMI Z,FEDER H J S,CHRISTENSEN K. Self-organized criticality in a continuous,nonconservative cellular automaton modeling earthquakes[J]. Physical Review Letters,1992,68(8): 1 244–1 247.
[30] JIANG Q,LI J L,LUO Z S,et al. Study on the time-lag failure of sandstone with different degrees of unloading damage[J]. Periodica Polytechnica Civil Engineering,2019,63(1):206–214.
[31] 余寿文,冯西桥. 损伤力学[M]. 北京:清华大学出版社,1997:179–190.(YU Shouwen,FENG Xiqiao. Damage mechanics[M]. Beijing:Tsinghua University Press,1997:179–190.(in Chinese))
[32] 谢里阳,于 凡. 疲劳损伤临界值分析[J]. 应用力学学报,1994,11(3):57–60.(XIE Liyang,YU Fan. Analysis on critical fatigue damage[J]. Chinese Journal of Applied Mechanics,1994,11(3):57–60.(in Chinese))
[33] 马高强. 基于损伤演化的半均质砂岩本构模型研究[J]. 长江科学院院报,2018,35(6):86–91.(MA Gaoqiang. Constitutive models of half-homogeneous sandstone based on damage evolution[J]. Journal of Yangtze River Scientific Research Institute,2018,35(6):86–91. (in Chinese))
[34] LI T C,LYU L X. Development and application of a statistical constitutive model of damaged rock affected by the load-bearing capacity of damaged elements[J]. Journal of Zhejiang University:Science A,2015,16(8):644–655.
[35] 曹文贵,赵 衡,张 玲,等. 考虑损伤阀值影响的岩石损伤统计软化本构模型及其参数确定方法[J]. 岩石力学与工程学报,2008,27(6):1 148–1 154.(CAO Wengui,ZHAO Heng,ZHANG Ling,et al. Damage statistical softening constitutive model for rock considering effect of damage threshold and its parameters determination method[J]. Chinese Journal of Rock Mechanics and Engineering,2008,27(6):1 148–1 154.(in Chinese))
[36] EBERHARDTE,STEADD,STIMPSONB. Identifying crack initiation and propagation thresholds in brittle rock[J]. Canadian Geotechnical Journal,1998,35(2):222–233.
[37] WU F,CHEN J,ZOU Q L. A nonlinear creep damage model for salt rock [J]. International Journal of Damage Mechanics,2019,28(5):758–771.