|
|
|
| A novel index of rockburst proneness based on maximum energy dissipation rate |
| ZHANG Rujiu1,ZHANG Yanjie2,GAO Tong3,LI Mei2,LIU Yaoru1,ZHANG Kai1 |
| (1. State Key Laboratory of Hydroscience and Engineering,Tsinghua University,Beijing 100084,China;2. Yunnan Dianzhong Water Diversion Engineering Co.,Ltd.,Kunming,Yunnan 650000,China;3. Yunnan Water Diversion Project Construction Administration,Kunming,Yunnan 650051,China) |
|
|
|
|
Abstract Rockburst proneness evaluation provides a basis for rockburst risk assessment in deep tunnels. Based on energy dissipation characteristics of complete stress-strain curve of rocks under uniaxial compression,a new evaluation index for rockburst proneness,the maximum energy dissipation rate(the maximum value of time derivative of dissipated energy density),was proposed in this study. The rationality of proposed index was explained based on stability criteria,experience,and definition of rockburst proneness. To quantitatively calculate the proposed index,an elastic-brittle-damage constitutive model considering void compaction and initial damage was established. To verify the applicability of the proposed index and damage model,uniaxial compression and cyclic loading and unloading tests were conducted on four different rocks(basalt,granite,limestone and sandstone) under rigid and flexible testing machines. Based on the orthogonal tests,correlation analysis and range analysis,the influencing factors of rockburst proneness and internal relationships between different indices were revealed. The results show that,a maximum energy dissipation rate exists in the post-peak stage of rock stress-strain curve,which can be used as an inherent stability indicator to evaluate rockburst proneness. This indicator can both consider the pre-peak energy storage and dissipation characteristics and post-peak characteristics. The proposed elastic-brittle-damage model effectively describes the nonlinear mechanical behavior and intrinsic energy evolution characteristics of rocks. The theoretical curves of stress-strain and dissipated energy density are in good agreement with experimental values. Calculation results of the maximum energy dissipation rate index for different rocks are consistent with the actual rockburst intensity,verifying the reliability of proposed index. Elastic modulus,brittleness,and initial damage are the main influencing factors of rockburst proneness. The proposed index better reflects the influence of rock brittleness on rockburst tendency, and has the strongest correlation with residual elastic energy index(with the correlation coefficient of 0.940). Research results can provide a scientific basis for the reasonable evaluation of rockburst proneness.
|
|
|
|
|
|
[1] 钱七虎. 地下工程建设安全面临的挑战与对策[J]. 岩石力学与工程学报,2012,31(10):1 945–1 956.(QIAN Qihu. Challenges faced by underground projects construction safety and countermeasures[J]. Chinese Journal of Rock Mechanics and Engineering,2012,31(10):1 945–1 956.(in Chinese))
[2] 张传庆,卢景景,陈 珺,等. 岩爆倾向性指标及其相互关系探讨[J]. 岩土力学,2017,38(5):1 397–1 404.(ZHANG Chuanqing,LU Jingjing,CHEN Jun,et al. Discussion on rock burst proneness indexes and their relation[J]. Rock and Soil Mechanics,2017,38(5):1 397–1 404.(in Chinese))
[3] KIDYBI?SKI A. Bursting liability indices of coal[J]. International Journal of Rock Mechanics and Mining Sciences and Geomechanics Abstracts,1981,18(4):295–304.
[4] 谭以安. 关于岩爆岩石能量冲击性指标的商榷[J]. 水文地质工程地质,1992,19(2):10–12.(TAN Yian. Discussion on the energy impact index of rock burst[J]. Hydrogeology and Engineering Geology,1992,19(2):10–12.(in Chinese))
[5] WANG J A,PARK H D. Comprehensive prediction of rockburst based on analysis of strain energy in rocks[J]. Tunnelling and Underground Space Technology,2001,16(1):49–57.
[6] 宫凤强,闫景一,李夕兵. 基于线性储能规律和剩余弹性能指数的岩爆倾向性判据[J]. 岩石力学与工程学报,2018,37(9):1 993– 2 014.(GONG Fengqiang,YAN Jingyi,LI Xibing. A new criterion of rock burst proneness based on the linear energy storage law and the residual elastic energy index[J]. Chinese Journal of Rock Mechanics and Engineering,2018,37(9):1 993–2 014.(in Chinese))
[7] 唐礼忠,潘长良,王文星. 用于分析岩爆倾向性的剩余能量指数[J]. 中南工业大学学报:自然科学版,2002,33(2):129–132.(TANG Lizhong,PAN Changliang,WANG Wenxing. Surplus energy index for analyzing rock burst proneness[J]. Journal of Central South University:Science and Technology,2002,33(2):129–132.(in Chinese))
[8] 唐礼忠,王文星. 一种新的岩爆倾向性指标[J]. 岩石力学与工程学报,2002,21(6):874–878.(TANG Lizhong,WANG Wenxing. New rock burst proneness index[J]. Chinese Journal of Rock Mechanics and Engineering,2002,21(6):874–878.(in Chinese))
[9] ZHANG J J,FU B J,LI Z K,et al. Criterion and classification for strain mode rockbursts based on five-factor comprehensive method[C]// The 12th ISRM International Congress on Rock Mechanics,Harmonising Rock Engineering and the Environment. Boca Raton:CRC Press,2011:1 435–1 440.
[10] 李庶林,冯夏庭,王泳嘉,等. 深井硬岩岩爆倾向性评价[J]. 东北大学学报,2001,22(1):60–63.(LI Shulin,FENG Xiating,WANG Yongjia,et al. Evaluation of rockburst proneness in a deep hard rock mine[J]. Journal of Northeastern University,2001,22(1):60–63.(in Chinese))
[11] AUBERTIN M,GILL D E,SIMON R. On the use of the brittleness index modified (BIM) to estimate the post-peak behavior of rocks[C]// 1st North American Rock Mechanics Symposium. Rotterdam:A A Balkema,1994:945–952.
[12] RICHARD S. Analysis of fault-slip mechanisms in hard rock mining[Ph. D. Thesis][D]. Montreal:McGill University,1999.
[13] WU Y,ZHANG W. Evaluation of the bursting proneness of coal by means of its failure duration[M]. Rockburst and Seismicity in Mines. Rotterdam:A A Balkema,1997:285–288.
[14] FENG J J,WANG E Y,CHEN X,et al. Energy dissipation rate:An indicator of coal deformation and failure under static and dynamic compressive loads[J]. International Journal of Mining Science and Technology,2018,28(3):397–406.
[15] ZHANG L,LIU Y R. Study on time-dependent behavior and stability assessment of deep-buried tunnels based on internal state variable theory[J]. Tunnelling and Underground Space Technology,2016,51:164–174.
[16] ZHANG R J,LIU Y R,HOU S K. Evaluation of rockburst risk in deep tunnels considering structural planes based on energy dissipation rate criterion and numerical simulation[J]. Tunnelling and Underground Space Technology,2023,137:105128.
[17] 张 明,王 菲,杨 强. 基于三轴压缩试验的岩石统计损伤本构模型[J]. 岩土工程学报,2013,35(11):1 965–1 971.(ZHANG Ming,WANG Fei,YANG Qiang. Statistical damage constitutive model for rocks based on triaxial compression tests[J]. Chinese Journal of Geotechnical Engineering,2013,35(11):1 965–1 971.(in Chinese))
[18] 谢和平,鞠 杨,黎立云. 基于能量耗散与释放原理的岩石强度与整体破坏准则[J]. 岩石力学与工程学报,2005,24(17):3 003–3 010. (XIE Heping,JU Yang,LI Liyun. Criteria for strength and structural failure of rocks based on energy dissipation and energy release principles[J]. Chinese Journal of Rock Mechanics and Engineering,2005,24(17):3 003–3 010.(in Chinese))
[19] 张 泷. 基于内变量热力学的流变模型及岩体结构长期稳定性研究[博士学位论文][D]. 北京:清华大学,2015.(ZHANG Long. Research on rheological model based on thermodynamics with internal state variables and long-term stability of rock mass structures[Ph. D. Thesis][D]. Beijing:Tsinghua University,2015.(in Chinese))
[20] ZHANG R J,HOU S K,LIU Y R,et al. A new evaluation index of rockburst tendency considering tunnel excavation and fracture distribution[C]// IOP Conference Series: Earth and Environmental Science. [S. l.]:IOP Publishing,2021:032022.
[21] 李长洪,蔡美峰,乔 兰,等. 岩石全应力–应变曲线及其与岩爆关系[J]. 北京科技大学学报,1999,21(6):513–515.(LI Changhong,CAI Meifeng,QIAO Lan,et al. Rock complete stress-strain curve and its relationship to rock burst[J]. Journal of University of Science and Technology Beijing,1999,21(6):513–515.(in Chinese))
[22] 陈乐求,张家生,陈俊桦,等. 初始损伤对脆性岩石抗压力学性质的影响[J]. 中南大学学报:自然科学版,2017,48(2):484–490.(CHEN Leqiu,ZHANG Jiasheng,CHEN Junhua,et al. Influences of initial damage on mechanics of brittle rock under compressed stress[J]. Journal of Central South University:Science and Technology,2017,48(2):484–490.(in Chinese))
[23] 周维垣,剡公瑞,杨若琼. 岩体弹脆性损伤本构模型及工程应用[J]. 岩土工程学报,1998,20(5):57–60.(ZHOU Weiyuan,YAN Gongrui,YANG Ruoqiong. Elasto-brittle damage model for rock mass based on field test in Laxiwa arch dam site[J]. Chinese Journal of Geotechnical Engineering,1998,20(5):57–60.(in Chinese))
[24] GONG F Q,YAN J Y,LI X B,et al. A peak-strength strain energy storage index for rock burst proneness of rock materials[J]. International Journal of Rock Mechanics and Mining Sciences,2019,117:76–89.
[25] 张 泷,刘耀儒,杨 强. 基于内变量热力学的岩石蠕变与应力松弛研究[J]. 岩石力学与工程学报,2015,34(4):755–762.(ZHANG Long,LIU Yaoru,YANG Qiang. Creep and relaxation of rock mass based on thermodynamics with internal state variables[J]. Chinese Journal of Rock Mechanics and Engineering,2015,34(4):755–762.(in Chinese))
[26] 欧阳林,张如九,刘耀儒,等. 深埋隧洞岩爆防控技术及典型工程应用现状综述[J]. 长江科学院院报,2022,39(12):161–170. (OUYANG Lin,ZHANG Rujiu,LIU Yaoru,et al. Reviews on rockburst prevention techniques and typical applications in deep tunnels[J]. Journal of Yangtze River Scientific Research Institute,2022,39(12):161–170.(in Chinese))
|
|
|
|