Discontinuous Deformation Analysis Method for Deformation Response of Hidden Resources in Collapse Area under Blasting Excavation
-
摘要: 针对地下金属矿山垮塌区隐患资源开采的安全问题，应用非连续变形分析法（DDA）研究垮塌区隐患资源在爆破动荷载作用下的变形响应. 通过势能极小化原理和平面应变假设探讨DDA法的计算过程，在DDA模型中引入自由场边界和设置边界单元体的法向与切向自由阻尼器来模拟垮塌区边缘采场的爆破开挖，讨论了注浆加固后的垮塌区滑移面附近区域在爆破动荷载作用下的变形特征. 研究结果表明：DDA模型中的输入波表现出明显的滞后性，根据输入波的滞后性计算波的传播速度与现场实测结果非常接近；爆破开挖后垮塌区滑移线下部区域的变形明显小于上部区域，与实际开挖后现场的监测结果相符合；距离爆源越远的监测点，速度放大系数越大，在DDA法中引入自由场边界和边界单元的自由阻尼器来研究垮塌区边缘采场在爆破动荷载作用下的变形响应是可靠的.Abstract: Aiming at the safety problem of hidden resources mining in collapse area of underground metal mines, the discontinuous deformation analysis (DDA) is used to address the deformation response of hidden resources in collapse area under blasting dynamic load. The calculation process of DDA method is stated using the minimization principle of potential energy and plane strain assumption. Meanwhile, free field boundary is inserted in the DDA model and the tangential free damper and normal free damper of boundary units are used to discuss the deformation response of blasting excavation after grouting reinforcement near the collapse area. Results show that the input wave in the DDA model is characterized by obvious hysteresis, and the wave propagation velocity computed considering the hysteresis is consistent with the measured results. Modelling results after excavation indicate that the deformation under the slip line of collapsed zone is clearly less than that above the slip line, which is consistent with the actual monitoring results after excavation. Moreover, the velocity amplification coefficient of monitoring points in the collapsed zone increases with increasing distance from blasting source. Therefore, it is reliable to introduce free-field boundaries and the free dampers of boundary units into the DDA model to study the deformation response of stopes at the edge of collapse area under blasting dynamic load.
-
Key words:
- collapse area /
- blasting excavation /
- DDA /
- deformation response /
- free field boundary condition
-
图 7 自由场边界测点的速度时程曲线
Figure 7. The velocity time history of free-field boundary monitoring points
表 1 模型力学参数
Table 1. Model mechanics parameter
名称 ρ/（t•m−3） μ E/（GPa） vn/（m•s−1） vs/（m•s−1） c/MPa θ/（°） B/MPa 矿岩体 2.73 0.25 17.4 5 041 2 832 6.32 40.3 4.28 充填体 2.1 0.27 5.7 3 895 1 327 1.12 38.8 1.06 
下载: 导出CSV
-
SHI G H. Discontinuous deformation analysis-a new numerical model for the statics and dynamics of block system[D]. Berkeley: University of California, 1988. SHI G H, GOODMAN R E. Generalization of two-dimensional discontinuous deformation analysis for forward modeling[J]. Int. J. for Numer. and Analy. Methods in Geomech., 1989, 13(4): 359-380. doi: 10.1002/nag.1610130403 SHI G H. Applications of discontinuous deformation analysis (DDA) to rock stability analysis[C]// Proceedings of the 8th International Forum on Discontinuous Deformation Analysis (DDA) and Simulations of Discontinuous Media. Beijing: Tsinghua University Press, 2007: 1-14, 19. SHI G H. Applications of discontinuous deformation analysis (DDA) to rock engineering[J]. Computtional Mechanics, 2009(2): 136-147. 邬爱清,丁秀丽,卢波,等. DDA方法块体稳定性验证及其在岩质边坡稳定性分析中的应用[J]. 岩石力学与工程学报,2008,27(4): 664-672. doi: 10.3321/j.issn:1000-6915.2008.04.003WU Aiqing, DING Xiuli, LU Bo, et al. Validation for rock block stability and its application to rock slope stability evaluation using DDA method[J]. Chinese Journal of Rock Mechanics and Engineering, 2008, 27(4): 664-672. doi: 10.3321/j.issn:1000-6915.2008.04.003 MACLAUGHLIN M, SITAR N, DOOLIN D, et al. Investigation of slope-stability kinematics using discontinuous deformation analysis[J]. International Journal of Rock Mechanics & Mining Sciences, 2001, 38(5): 753-762. 付晓东,盛谦,张勇慧. 开挖及动荷载作用下边坡响应的DDA方法研究[J]. 岩石力学与工程学报,2012,31(增刊1): 2612-2618.FU Xiaodong, SHENG Qian, ZHANG Yonghui. Research on DDA method for response of slopes under excavation and dynamic load[J]. Chinese Journal of Rock Mechanics and Engineering, 2012, 31(S1): 2612-2618. 杨建成,邓琴. 岩质边坡倾倒破坏的非连续变形分析[J]. 水利与建筑工程学报,2016,14(2): 118-122. doi: 10.3969/j.issn.1672-1144.2016.02.023YANG Jiancheng, DENG Qin. Discontinuous deformation analysis of rock slope failure[J]. Journal of Water Resources and Architectural Engineering, 2016, 14(2): 118-122. doi: 10.3969/j.issn.1672-1144.2016.02.023 张国新,武晓峰. 裂隙渗流对岩石边坡稳定的影响−渗流、变形耦合作用的DDA法[J]. 岩石力学与工程学报,2003,22(8): 1269-1275. doi: 10.3321/j.issn:1000-6915.2003.08.008ZHANG Guoxin, WU Xiaofeng. Influence of seepage on the stability of rock slope—coupling of seepage and deformation by DDA method[J]. Chinese Journal of Rock Mechanics and Engineering, 2003, 22(8): 1269-1275. doi: 10.3321/j.issn:1000-6915.2003.08.008 许崇帮,夏才初,陈孝湘. 基于节理精细化描述的隧道围岩变形破坏特征分析[J]. 岩石力学与工程学报,2011(10): 1997-2003.XU Chongban, XIA Caichu, CHEN Xiaoxiang. Characteristics analyses of deformation and failure on tunnel surrounding rock based on fine description of joints[J]. Chinese Journal of Rock Mechanics and Engineering, 2011(10): 1997-2003. MA S Q, HE C, ZHAO Z Y, et al. Modeling of rock joints under cyclic loading conditions using discontinuous deformation analysis[J]. Rock Mechanics & Rock Engineering, 2017: 1-11. 鞠杨,左建平,宋振铎,等. 煤矿开采中的岩层应力分布与变形移动的DDA模拟[J]. 岩土工程学报,2007,29(2): 268-273. doi: 10.3321/j.issn:1000-4548.2007.02.019JU Yang, ZUO Jianping, SONG Zhenze, et al. Numerical simulation of stress distribution and displacement of rock strata of coal mines by means of DDA method[J]. Chinese Journal of Geotechnical Engineering, 2007, 29(2): 268-273. doi: 10.3321/j.issn:1000-4548.2007.02.019 黄盛铨,刘君,孔宪京. 强度折减DDA法及其在边坡稳定分析中的应用[J]. 岩石力学与工程学报,2008,27(增刊1): 2799-2806.HUANG Shengquan, LIU Jun, KONG Xianjing. DDA with strength reduction technique and its application to stability analysis of rock slope[J]. Chinese Journal of Rock Mechanics and Engineering, 2008, 27(S1): 2799-2806. 马永政,郑宏,朱合华,等. DDA法计算边坡安全系数的黏聚力影响分析[J]. 岩土工程学报,2009,31(7): 1088-1093. doi: 10.3321/j.issn:1000-4548.2009.07.016MA Yongzheng, ZHENG Hong, ZHU Hehua, et al. Effect of cohesion on evaluating slope stability factor of safety by dda method[J]. Chinese Journal of Geotechnical Engineering, 2009, 31(7): 1088-1093. doi: 10.3321/j.issn:1000-4548.2009.07.016 OHNISHI Y, NISHIYAMA S. Recent insights of analyses using discontinuous methods in rock engineering in Japan[C]//Proceedings of 8th International Forum on Discontinuous Deformation Analysis (DDA) and Simulations of Discontinuous Media. Beijing: Tsinghua University, 2007: 15-26. HATZOR Y H, ARZI A A, ZASLAVSKY Y, et al. Dynamic stability analysis of jointed rock slopes using the DDA method:King Herod's Palace,Masada,Israe[J]. International Journal of Rock Mechanics and Mining Sciences, 2004, 41(5): 813-832. doi: 10.1016/j.ijrmms.2004.02.002 WU J H, OHNISHI Y, NISHIYAMA S. Simulation of the mechanical behavior of inclined jointed rock masses during tunnel construction using discontinuous deformation analysis (DDA)[J]. International Journal of Rock Mechanics and Mining Sciences, 2004, 41(5): 731-843. doi: 10.1016/j.ijrmms.2004.01.010 SONG Y X, HUANG D, ZENG B. GPU-based parallel computation for discontinuous deformation analysis (DDA) method and its application to modelling earthquake-induced landslide[J]. Computers & Geotechnics, 2017, 86: 80-94. ZHENG H, ZHANG P, DU X L. Dual form of discontinuous deformation analysis[J]. Computer Methods in Applied Mechanics & Engineering, 2016, 305: 196-216. FU G Y, MA G W, QU X L. Dual reciprocity boundary element based block model for discontinuous deformation analysis[J]. Science China Technological Sciences, 2015, 58(9): 1575-1586. doi: 10.1007/s11431-015-5892-2 王金梅, 张迎宾, 赵兴权, 等. DDA方法中节理参数定义方式的改进[J]. 西南交通大学学报, 2018, 53(3): 558-564, 573.WANG Jinmei, ZHANG Yingbin, ZHAO John X, et al. Improvement in definition of joint parameters in discontinuous deformation analysis [J]. Journal of Southwest Jiaotong University, 2018, 53(3): 558-564, 573. 文磊, 罗周全, 秦亚光, 等. 垮塌区Navier-Stokes幂律型浆体的有效扩散范围[J]. 西南交通大学学报, 2020, 55(1): 193-201.WEN Lei, LUO Zhouquan, QIN Yaguang, et al. Effective diffusion range of exponential fluids based on navier-stokes equation in collapse area[J]. Journal of Southwest Jiaotong University, 2020, 55(1): 193-201. 乔宪队. 爆破震动对邻近隧洞的动力响应分析[D]. 长沙: 中南大学, 2007. ZHAO G Y, MA J, DONG L J, et al. Classification of mine blasts and microseismic events using starting-up features in seismograms[J]. Transactions of Nonferrous Metals Society of China, 2015, 25(10): 3410-3420. doi: 10.1016/S1003-6326(15)63976-0 徐华清. 爆破荷载作用对节理巷道围岩损伤实验与数值模拟研究[D]. 衡阳: 南华大学, 2017 -
下载:
点击查看大图
图(13) / 表(1)
计量
- 文章访问数: 649
- HTML全文浏览量: 330
- PDF下载量: 9
- 被引次数: 0