地下岩体洞室群地震响应的加、卸载响应比分析
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摘要
将加、卸载响应比理论引入地下岩体洞室群地震响应分析中。以输入的地震加速度作为加、卸载,以洞室围岩的加速度作为响应,合理地确定了加、卸载响应区段。通过有限差分程序FLAC3D建立了白鹤滩水电站13号机组剖面数值分析模型,选用汶川地震波进行动力时程计算,探讨地下岩体洞室群的地震动力稳定性,研究结果表明:在100年超越概率2%的地震作用下,白鹤滩水电站地下洞室群围岩响应比峰值范围在4.05～11.52之间;结合应力及位移分析,主厂房拱顶及层间错动带C4在尾调室上游边墙出露部位的围岩均进入了非线性变形状态,但响应比在整个时程中并没有趋于无穷大,围岩没有发生失稳破坏;错动带两侧的围岩产生了一定的相对位移,会对尾调室的边墙稳定性产生不利影响。该研究方法可应用于一般地下岩体结构的地震稳定性分析中。
The loading/unloading response ratio theory is introduced to analyze the seismic response of underground rock cavern group.The response region is determined reasonably by taking the input seismic accelerations as loads and unloads and cavern accelerations as response.The numerical section model of No.13 unit of Baihetan hydropower station is established by FLAC3D.With Wenchuan earthquake as input wave,the seismic stability of underground rock cavern group is discussed.The result shows that the peak value of loading/unloading response ratio is about 4.05-11.52 under 2% exceeding probability in future 100 years.The rock mass around top arch of main powerhouse and interlayer C4 in upstream wall of tailrace surge chamber are under the state of nonlinear deformation,but the loading/unloading response ratio is not infinite during the whole process,with no stability failure of rock mass.The relative displacement of interlayer has adverse effect on the wall stability of tailrace surge chamber.This research method can be used for seismic stability study of common rock mass.
The loading/unloading response ratio theory is introduced to analyze the seismic response of underground rock cavern group.The response region is determined reasonably by taking the input seismic accelerations as loads and unloads and cavern accelerations as response.The numerical section model of No.13 unit of Baihetan hydropower station is established by FLAC3D.With Wenchuan earthquake as input wave,the seismic stability of underground rock cavern group is discussed.The result shows that the peak value of loading/unloading response ratio is about 4.05-11.52 under 2% exceeding probability in future 100 years.The rock mass around top arch of main powerhouse and interlayer C4 in upstream wall of tailrace surge chamber are under the state of nonlinear deformation,but the loading/unloading response ratio is not infinite during the whole process,with no stability failure of rock mass.The relative displacement of interlayer has adverse effect on the wall stability of tailrace surge chamber.This research method can be used for seismic stability study of common rock mass.
引文
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[11]姜彤,马莎,许兵,等.边坡在地震作用下的加、卸载响应规律研究[J].岩石力学与工程学报,2004,23(22):3803-3807.JIANG Tong,MA Sha,XU Bing,et al.Study of laws ofload-unload response of slope under seismic load[J].Chinese Journal of Rock Mechanics and Engineering,2004,23(22):3803-3807.
[12]姜彤,马瑾,许兵.基于加卸载响应比理论的边坡动力稳定分析方法[J].岩石力学与工程学报,2007,26(3):626-631.JIANG Tong,MA Jin,XU Bing.Dynamic analysismethod of slope stability based on LURR theory[J].Chinese Journal of Rock Mechanics and Engineering,2007,26(3):626-631.
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[14]尹祥础,尹灿.非线性系统的失稳与前兆——响应比理论及其应用[J].中国科学(B辑),1991,21(5):512-518.YIN Xiang-chu,YIN Can.Instability and precursor ofnonlinear system—Response ratio theory and itsapplication[J].Science in China(Series B),1991,21(5):512-518.
[15]Itasca Consulting Group,Inc.FLAC(Fast LagrangianAnalysis of Continua)User's Guide,Version 5.0[M].Mineapolis:Itasca Consulting Group,Inc.,2005.
[16]张玉敏,盛谦,朱泽奇,等.深度衰减效应对大型地下洞室群强震响应影响分析[J].岩土力学,2010,31(10):3197-3203.ZHANG Yu-min,SHENG Qian,ZHU Ze-qi,et al.Influence of depth attenuation on seismic response oflarge underground cavern group[J].Rock and SoilMechanics,2010,31(10):3197-3203.
[2]左双英,肖明.映秀湾水电站大型地下洞室群三维非线性损伤地震响应数值分析[J].水力发电学报,2009,28(5):127-133.ZUO Shuang-ying,XIAO Ming.3D numerical analysisof nonlinear damage seismic reponse of largeunderground caverns of Yingxiuwan hydropowerstation[J].Journal of Hydroelectric Engineering,2009,28(5):127-133.
[3]陈健云,胡志强,林皋.超大型地下洞室群的三维地震响应分析[J].岩土工程学报,2001,23(4):494-498.CHEN Jian-yun,HU Zhi-qiang,LIN Gao.3-D seismicresponse study of large scale undergroud group caverns[J].Chinese Journal of Geotechnical Engineering,2001,23(4):494-498.
[4]李海波,刘博,吕涛,等.一种简单的岩体地下洞室地震安全性评价方法[J].岩土力学,2009,30(7):1873-1882.LI Hai-bo,LIU Bo,LüTao,et al.A simple safetyassessment method for underground engineering in rockunder seismic loading[J].Rock and Soil Mechanics,2009,30(7):1873-1882.
[5]隋斌,朱维申,李晓静.地震荷载作用下大型地下洞室群的动态响应模拟[J].岩土工程学报,2008,30(12):1877-1882.SUI Bin,ZHU Wei-shen,LI Xiao-jing.Simulation ondynamic response of large underground opening complexunder seismic loads[J].Chinese Journal of GeotechnicalEngineering,2008,30(12):1877-1882.
[6]王如宾,徐卫亚,石崇,等.高地震烈度区岩体地下洞室动力响应分析[J].岩石力学与工程学报,2009,28(3):568-575.WANG Ru-bin,XU Wei-ya,SHI Chong,et al.Dynamicresponse analysis of rock underground caverns in highlyseismic region[J].Chinese Journal of Rock Mechanicsand Engineering,2009,28(3):568-575.
[7]苗胜军,樊少武,蔡美峰,等.基于加卸载响应比的载荷岩石动力学特征试验研究[J].煤炭学报,2009,34(3):329-333.MIAO Sheng-jun,FAN Shao-wu,CAI Mei-feng,et al.Dynamic characteristics experiment study of loading rockbased on theory of load/unload response ratio[J].Journalof China Coal Society,2009,34(3):329-333.
[8]王裕仓,尹祥础,彭克银,等.加卸载响应比的数值模拟[J].地球物理学报,1999,42(5):669-676.WANG Yu-cang,YIN Xiang-chu,PENG Ke-yin,et al.Numerical simulation on load/unload response rationtheory[J].Chinese Journal of Geophysics,1999,42(5):669-676.
[9]张晖辉,尹祥础,梁乃刚,等.模拟引潮力作用下岩石破坏前兆的实验研究——加卸载响应比(LURR)理论和能量加速释放(AER)[J].岩石力学与工程学报,2005,24(17):3172-3179.ZHANG Hui-hui,YIN Xiang-chu,LIANG Nai-gang,et al.Experimental study of rock failure precursor usingsimulated tide stress—load/unload response ratio(LURR)and accelerating energy release(AER)[J].ChineseJournal of Rock Mechanics and Engineering,2005,24(17):3172-3179.
[10]石崇,徐卫亚,周家文,等.动力时程响应的加、卸载响应比描述研究[J].岩土力学,2007,28(增刊):743-747.SHI Chong,XU Wei-ya,ZHOU Jia-wen,et al.Dynamicstability research by using load/unload ratio method[J].Rock and Soil Mechanics,2007,28(Supp.):743-747.
[11]姜彤,马莎,许兵,等.边坡在地震作用下的加、卸载响应规律研究[J].岩石力学与工程学报,2004,23(22):3803-3807.JIANG Tong,MA Sha,XU Bing,et al.Study of laws ofload-unload response of slope under seismic load[J].Chinese Journal of Rock Mechanics and Engineering,2004,23(22):3803-3807.
[12]姜彤,马瑾,许兵.基于加卸载响应比理论的边坡动力稳定分析方法[J].岩石力学与工程学报,2007,26(3):626-631.JIANG Tong,MA Jin,XU Bing.Dynamic analysismethod of slope stability based on LURR theory[J].Chinese Journal of Rock Mechanics and Engineering,2007,26(3):626-631.
[13]尹祥础.地震预测新途径探索[J].中国地震,1987,3(1):1-7.YIN Xiang-chu.Study for a new approach to earthquakeprediction[J].Earthquake Research in China,1987,3(1):1-7.
[14]尹祥础,尹灿.非线性系统的失稳与前兆——响应比理论及其应用[J].中国科学(B辑),1991,21(5):512-518.YIN Xiang-chu,YIN Can.Instability and precursor ofnonlinear system—Response ratio theory and itsapplication[J].Science in China(Series B),1991,21(5):512-518.
[15]Itasca Consulting Group,Inc.FLAC(Fast LagrangianAnalysis of Continua)User's Guide,Version 5.0[M].Mineapolis:Itasca Consulting Group,Inc.,2005.
[16]张玉敏,盛谦,朱泽奇,等.深度衰减效应对大型地下洞室群强震响应影响分析[J].岩土力学,2010,31(10):3197-3203.ZHANG Yu-min,SHENG Qian,ZHU Ze-qi,et al.Influence of depth attenuation on seismic response oflarge underground cavern group[J].Rock and SoilMechanics,2010,31(10):3197-3203.
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