弹性半空间中衬砌隧道对瑞利波的散射
|
摘要
采用一种高精度的间接边界积分方程法,对弹性半空间中衬砌隧道对入射瑞利的二维散射问题进行求解分析。结果表明:衬砌隧道和非衬砌隧道对瑞利波的散射具有显著的差别,衬砌刚度对波的散射规律具有重要影响。隧道附近地表动力响应和隧道衬砌动应力集中主要取决于衬砌和围岩的刚度比、隧道的埋深和直径、入射波频率等因素。对于柔性衬砌,浅埋隧道对低频瑞利波会产生显著的位移放大效应;对于刚性衬砌,衬砌内壁的动应力集中效应十分明显。整体上看,随着埋深的增大,隧道周围波的散射逐渐减弱。
Two-dimensional scattering of incident Rayleigh waves by a lined tunnel in elastic half-space is solved and analyzed by the high-precision indirect boundary integral equation method(IBIEM).It is found that the scattering around the lined tunnel may be significantly different from that around the unlined tunnel;and the lining stiffness has a great effect on the wave scattering.The dynamic response and dynamic stress concentration depend considerably on the stiffness ratio of the lining to the surrounding soil,the embedded depth and the radius of the tunnel,the frequency of incident waves,etc.For the soft lining,there is a large displacement amplification for the case of shallow tunnel.While for the rigid lining,the dynamic stress concentration at the inner surface of the lining is very large.In the whole,the scattering of Rayleigh wave around the tunnel gradually weakens as the depth of tunnel increases.
Two-dimensional scattering of incident Rayleigh waves by a lined tunnel in elastic half-space is solved and analyzed by the high-precision indirect boundary integral equation method(IBIEM).It is found that the scattering around the lined tunnel may be significantly different from that around the unlined tunnel;and the lining stiffness has a great effect on the wave scattering.The dynamic response and dynamic stress concentration depend considerably on the stiffness ratio of the lining to the surrounding soil,the embedded depth and the radius of the tunnel,the frequency of incident waves,etc.For the soft lining,there is a large displacement amplification for the case of shallow tunnel.While for the rigid lining,the dynamic stress concentration at the inner surface of the lining is very large.In the whole,the scattering of Rayleigh wave around the tunnel gradually weakens as the depth of tunnel increases.
引文
[1]HASHASHA Y M A,HOOK J J,SCHMIDT B,et al.Seismic design and analysis of underground structures[J].Tunneling and Underground Space Technology,2001,16(4):247–293.
[2]刘晶波,李彬.Rayleigh波作用下地下结构的动力反应分析[J].工程力学,2006,23(10):132–135.(LIU Jingbo,LI Bin.Response analysis of underground structures during propagation of Rayleigh waves[J].Engineering Mechanics,2006,23(10):132–135.(in Chinese))
[3]岳庆霞,李杰.近似Rayleigh地震波作用下地下综合管廊响应分析[J].防灾减灾工程学报,2008,25(4):409–416.(YUE Qingxia,LI Jie.Response analysis of utility tunnel in earthquake of approximate Rayleigh waves[J].Journal of Disaster Prevention and Mitigation Engineering,2008,25(4):409–416.(in Chinese))
[4]HLLINGER F,ZIEGLER F.Scattering of pulsed Rayleigh surface waves by a cylindrical cavity[J].Wave Motion,1979,1(3):225–238.
[5]DATTA S K,SHAH A H,WONG K C.Dynamic stresses and displacements in buried pipe[J].Journal of Engineering Mechanics,ASCE,1983,110(10):1 451–1 466.
[6]梁建文,纪晓东.地下衬砌洞室对Rayleigh波的放大作用[J].地震工程与工程振动,2006,26(4):24–31.(LIANG Jianwen,JI Xiaodong.Amplification of Rayleigh waves due to underground lined cavities[J].Earthquake Engineering and Engineering Vibration,2006,26(4):24–31.(in Chinese))
[7]刘中宪,梁建文,张贺.弹性半空间中衬砌洞室对平面P波和SV波的散射(I)——方法[J].自然灾害学报,2010,19(4):71–76.(LIU Zhongxian,LIANG Jianwen,ZHANG He.Scattering of plane P and SV waves by a lined tunnel in elastic half space(I):method[J].Journal of Natural Disasters,2010,19(4):71–76.(in Chinese))
[8]刘中宪,梁建文,张贺.弹性半空间中衬砌洞室对平面P波和SV波的散射(II)——数值结果[J].自然灾害学报,2010,19(4):77–88.(LIU Zhongxian,LIANG Jianwen,ZHANG He.Scattering of plane P and SV waves by a lined tunnel in elastic half space(II):numerical results[J].Journal of Natural Disasters,2010,19(4):77–88.(in Chinese))
[9]柴华友,汪江波,周一勤.瑞利波分析方法及应用进展[J].岩石力学与工程学报,2002,21(1):119–125.(CHAI Huayou,WANG Jiangbo,ZHOU Yiqin.Progress of Rayleigh wave analysis method and its application[J].Chinese Journal of Rock Mechanics and Engineering,2002,21(1):119–125.(in Chinese))
[2]刘晶波,李彬.Rayleigh波作用下地下结构的动力反应分析[J].工程力学,2006,23(10):132–135.(LIU Jingbo,LI Bin.Response analysis of underground structures during propagation of Rayleigh waves[J].Engineering Mechanics,2006,23(10):132–135.(in Chinese))
[3]岳庆霞,李杰.近似Rayleigh地震波作用下地下综合管廊响应分析[J].防灾减灾工程学报,2008,25(4):409–416.(YUE Qingxia,LI Jie.Response analysis of utility tunnel in earthquake of approximate Rayleigh waves[J].Journal of Disaster Prevention and Mitigation Engineering,2008,25(4):409–416.(in Chinese))
[4]HLLINGER F,ZIEGLER F.Scattering of pulsed Rayleigh surface waves by a cylindrical cavity[J].Wave Motion,1979,1(3):225–238.
[5]DATTA S K,SHAH A H,WONG K C.Dynamic stresses and displacements in buried pipe[J].Journal of Engineering Mechanics,ASCE,1983,110(10):1 451–1 466.
[6]梁建文,纪晓东.地下衬砌洞室对Rayleigh波的放大作用[J].地震工程与工程振动,2006,26(4):24–31.(LIANG Jianwen,JI Xiaodong.Amplification of Rayleigh waves due to underground lined cavities[J].Earthquake Engineering and Engineering Vibration,2006,26(4):24–31.(in Chinese))
[7]刘中宪,梁建文,张贺.弹性半空间中衬砌洞室对平面P波和SV波的散射(I)——方法[J].自然灾害学报,2010,19(4):71–76.(LIU Zhongxian,LIANG Jianwen,ZHANG He.Scattering of plane P and SV waves by a lined tunnel in elastic half space(I):method[J].Journal of Natural Disasters,2010,19(4):71–76.(in Chinese))
[8]刘中宪,梁建文,张贺.弹性半空间中衬砌洞室对平面P波和SV波的散射(II)——数值结果[J].自然灾害学报,2010,19(4):77–88.(LIU Zhongxian,LIANG Jianwen,ZHANG He.Scattering of plane P and SV waves by a lined tunnel in elastic half space(II):numerical results[J].Journal of Natural Disasters,2010,19(4):77–88.(in Chinese))
[9]柴华友,汪江波,周一勤.瑞利波分析方法及应用进展[J].岩石力学与工程学报,2002,21(1):119–125.(CHAI Huayou,WANG Jiangbo,ZHOU Yiqin.Progress of Rayleigh wave analysis method and its application[J].Chinese Journal of Rock Mechanics and Engineering,2002,21(1):119–125.(in Chinese))
版权所有：© 2023 中国地质图书馆 中国地质调查局地学文献中心