基于小波包的地下洞室群地震响应及其频谱特性研究
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摘要
基于有限差分数值模拟,在合理选择地震动力分析阻尼参数的条件下,开展白鹤滩水电工程13#机组剖面地下洞群围岩地震响应研究,并结合小波包变换方法从加速度峰值及振动能量角度评价了地震波在岩体中的传播规律及洞室群不同区域地震响应的频谱特征。结果表明:地震波传播过程中强度随高程增加而增加,层间错动带有一定减震作用;小波包分解可以较全面地给出地震响应成分的频率分布;地震波的高频分量在岩体传播过程中逐渐衰减;在地下洞室群附近,岩体地震响应的加速度峰值和振动能量频谱特征以1～3Hz频段为主,其他频段对岩体地震响应影响较小。
Based on proper damping parameters,a finite difference numerical simulation is conducted for the seismic analysis of the Baihetan underground caverns. Wavelet packet analysis is made for the evaluation of wave propagation and spectrum characteristics of seismic response from the point of view of peak acceleration and vibration energy. Results indicate that seismic intensity increases with the elevation and fault zones possess vibration-suppressing effect. Spectrum characteristics of seismic response can be clearly revealed by wavelet packet. High-frequency components of seismic wave are gradually absorbed during propagation. A major influential frequency band of peak acceleration and vibration energy spectrum characteristics is obtained as 1-3Hz for wall rock,and other bands have minor effects.
Based on proper damping parameters,a finite difference numerical simulation is conducted for the seismic analysis of the Baihetan underground caverns. Wavelet packet analysis is made for the evaluation of wave propagation and spectrum characteristics of seismic response from the point of view of peak acceleration and vibration energy. Results indicate that seismic intensity increases with the elevation and fault zones possess vibration-suppressing effect. Spectrum characteristics of seismic response can be clearly revealed by wavelet packet. High-frequency components of seismic wave are gradually absorbed during propagation. A major influential frequency band of peak acceleration and vibration energy spectrum characteristics is obtained as 1-3Hz for wall rock,and other bands have minor effects.
引文
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[3]CHEN J C,CHANG Y L,LEE H C.Seismic safety analysis of Kukuan underground power cavern[J].Tunneling and Underground Space Technology,2004,(19):516-527.
[4]李小军,卢滔.水电站地下厂房洞室群地震反映显式有限元分析[J].水力发电学报,2009,28(5):41-46.LI Xiao-jun,LU Tao.Explicit finite element analysis of earthquake response for underground caverns of hydropower stations[J].Journal of Hydroelectric Engineering,2009,28(5):41-46.
[5]黄胜,陈卫忠,杨建平,等.地下工程地震动力响应及抗震研究[J].岩石力学与工程学报,2009,28(3):483-490.HUANG Sheng,CHEN Wei-zhong,YANG Jian-ping,et al.Research on earthquake-induced dynamic responses and seismic measures for underground engineering[J].Chinese Journal of Rock Mechanics and Engineering,2009,28(3):483-490.
[6]李海波,马行东,邵蔚,等.地震波参数对地下岩体洞室位移特性的影响分析[J].岩石力学与工程学报,2005,24(增刊1):4627-4634.LI Hai-bo,MA Xing-dong,SHAO Wei,et al.Influence of the earthquake parameters on the displacement of rock cavern[J].Chinese Journal of Rock Mechanics and Engineering,2005,24(Supp.1):4627-4634.
[7]郭青春.水工地下厂房岩体隧洞地震反映的初步分析[硕士学位论文D].大连:大连理工大学,2009.
[8]KURTIS GURLEY,AHSAN KAREEM.Applications of wavelet transforms in earthquake,wind and ocean engineering[J].Engineering Structures,1999(21):149-167.
[9]胡昌华,张军波,夏军,等.基于MATLAB的系统分析与设计(第三版)[M].西安:西安电子科技大学出版社,2008.
[10]肖梅玲,高春涛,叶燎原.不同小波基下的结构位移反映动力可靠性分析[J].世界地震工程,2002,18(2):163-166.XIAO Mei-ling,GAO Chun-tao,YE Liao-yuan.Dynamic reliability analysis for structural displacement response based on different wavelets[J].World Earthquake Engineering,2002,18(2):163-166.
[11]胡聿贤.地震工程学[M].北京:地震出版社,2006.
[12]王进廷,杜修力,张楚汉.瑞利阻尼介质有限元离散模型动力分析的数值稳定性[J].地震工程与工程振动,2002,22(6):18-24.WANG Jin-ting,DU Xiu-li,ZHANG Chu-han.Numerical stability of explicit finite element schemes for dynamic system with Rayleigh damping[J].Earthquake Engineering and Engineering Vibration,2002,22(6):18-24.
[13]Itasca Consulting Group Inc..FLAC3D(fast Lagrangian analysis of continua in3D)optional features(version3.0)[R].Minneapolis:Itasca Consulting Group Inc.,2005.
[14]ARIAS A.A measure of earthquake intensity[C]//Seismic Design for Nuclear Power Plants.Cambridge:MIT Press,1970:438-483.
[15]傅承义.地表层的本质对于地震勘测的几种影响[J].中国科学,1951,2(3):271-281.FU Cheng-yi.Effects of the earth’s surface essence on seismic exploration[J].Science in China,1951,2(3):271-281.
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