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ISSN 0253-3782 CN 11-2021/P

平面SH波作用下衬砌隧道对地下地震动的影响

周凤玺 高令猛 马强

引用本文: 周凤玺, 高令猛, 马强. 2019. 平面SH波作用下衬砌隧道对地下地震动的影响. 地震学报, 41(2): 269-276. doi: 10.11939/jass.20180080 shu
Citation:  Zhou Fengxi, Gao Lingmeng, Ma Qiang. 2019. Influence of lining tunnel on sub-ground motion for incident plane SH wave excitation. Acta Seismologica Sinica41(2): 269-276. doi: 10.11939/jass.20180080 shu

平面SH波作用下衬砌隧道对地下地震动的影响

    通讯作者: 周凤玺, geolut@163.com
摘要: 以地下隧道对附近场地动力特性的影响为研究目标,基于弹性波动理论,利用波函数展开法和镜像法,分析了弹性半空间中圆形衬砌隧道对平面SH波入射产生的散射问题,得到了地下圆形衬砌隧道附近场地位移的级数解答。通过数值算例分析了地下圆形衬砌隧道对场地动力响应的影响,重点考察了SH波入射角度、入射频率和隧道埋深、衬砌刚度对隧道周围土体动力响应随深度变化的影响规律。结果表明,地下隧道对沿线场地的地下地震动影响显着。

English

    1. 付佳,梁建文,杜金金. 2016. 平面SH波激励下的土–隧道动力相互作用的解析解[J]. 岩土工程学报,38(4):588–598.

    2. Fu J,Liang J W,Du J J. 2016. Analytical solution of dynamic soil-tunnel interaction for incident plane SH wave[J]. Chinese Journal of Geotechnical Engineering,38(4):588–598 (in Chinese).

    3. 梁建文,张浩,Lee V W. 2004. 地下洞室群对地面运动影响问题的级数解答:P波入射[J]. 地震学报,26(3):269–280. doi: 10.3321/j.issn:0253-3782.2004.03.006

    4. Liang J W,Zhang H,Lee V W. 2004. A series solution for surface motion amplification due to underground group cavities:Incident P waves[J]. Acta Seismologica Sinica,26(3):269–280 (in Chinese).

    5. 梁建文,纪晓东,Lee V W. 2005a. 地下圆形衬砌隧道对沿线地震动的影响( Ⅰ ):级数解[J]. 岩土力学,26(4):520–524.

    6. Liang J W,Ji X D,Lee V W. 2005a. Effects of an underground lined tunnel on ground motion ( Ⅰ ):Series solution[J]. Rock and Soil Mechanics,26(4):520–524 (in Chinese).

    7. 梁建文,纪晓东,Lee V W. 2005b. 地下圆形衬砌隧道对沿线地震动的影响( Ⅱ ):数值结果[J]. 岩土力学,26(5):687–692.

    8. Liang J W,Ji X D,Lee V W. 2005b. Effects of an underground lined tunnel on ground motion ( Ⅱ ):Numerical results[J]. Rock and Soil Mechanics,26(5):687–692 (in Chinese).

    9. Alielahi H,Adampira M. 2016. Effect of twin-parallel tunnels on seismic ground response due to vertically in-plane waves[J]. Int J Rock Mech Min Sci,85:67–83. doi: 10.1016/j.ijrmms.2016.03.010

    10. de Barros F C P,Luco J E. 2010. Seismic response of a cylindrical shell embedded in a layered viscoelastic half-space. Ⅱ :Validation and numerical results[J]. Earthq Eng Struct Dyn,23(5):569–580.

    11. Lee V W,Trifunac M D. 1979. Response of tunnels to incident SH-waves[J]. J Eng Mech Div,105(4):643–659.

    12. Lee V W,Karl J. 1992. Diffraction of SV waves by underground,circular,cylindrical cavities[J]. Soil Dyn Earthq Eng,11(8):445–456. doi: 10.1016/0267-7261(92)90008-2

    13. Lee V W,Karl J. 1993. On deformation near a circular underground cavity subjected to incident plane P waves[J]. Eur J Earthq Eng,7(1):29–35.

    14. Liang J W,Zhang H,Lee V W. 2003. A series solution for surface motion amplification due to underground twin tunnels:Inci-dent SV waves[J]. Earthq Eng Eng Vibrat,2(2):289–298. doi: 10.1007/s11803-003-0012-x

    15. Liang J W,Chen J Q,Ba Z Y. 2012. 3D scattering of obliquely incident SH waves by a cylindrical cavity in layered elastic half-space ( Ⅰ ):Methodology and verification[J]. Earthquake Science,34(6):785–792.

    16. Liang J W,Chen J Q,Ba Z Y. 2013. 3D scattering of obliquely incident SH waves by a cylindrical cavity in layered elastic half-space ( Ⅱ ):Numerical results and analysis[J]. Earthquake Science,35(2):173–183.

    17. Liu Q J,Zhao M J,Wang L H. 2013. Scattering of plane P,SV or Rayleigh waves by a shallow lined tunnel in an elastic half space[J]. Soil Dyn Earthq Eng,49:52–63. doi: 10.1016/j.soildyn.2013.02.007

    18. Liu Z X,Liu L. 2015. An IBEM solution to the scattering of plane SH-waves by a lined tunnel in elastic wedge space[J]. Earthquake Science,28(1):71–86. doi: 10.1007/s11589-015-0112-5

    19. Liu Z X,Wang Y R,Liang J W. 2016. Dynamic interaction of twin vertically overlapping lined tunnels in an elastic half space subjected to incident plane waves[J]. Earthquake Science,29(3):185–201. doi: 10.1007/s11589-016-0155-2

    20. Luco J E,de Barros F C P. 2010. Seismic response of a cylindrical shell embedded in a layered viscoelastic half-space. Ⅰ :Formulation[J]. Earthq Eng Struct Dyn,23(5):553–567.

    21. Morse P M,Feshbach H,Condon E U. 1954. Methods of theoretical physics,parts Ⅰ & Ⅱ [J]. Phys Today,7(12):15–16. doi: 10.1063/1.3061460

    22. Mow C C,Pao Y H. 1973. The diffraction of elastic waves and dynamic stress concentrations[J]. J Appl Mechan,40(4):213–219.

    23. Narayan J P,Kumar D,Sahar D. 2015. Effects of complex interaction of Rayleigh waves with tunnel on the free surface ground motion and the strain across the tunnel-lining[J]. Nat Hazards,79(1):479–495. doi: 10.1007/s11069-015-1853-0

    24. Oliaei M,Alitalesh M. 2015. Ground motion amplification due to underground cavities subjected to incident SV and P in-plane waves[J]. Sci Iran,22(5):1703–1711.

    25. Parvanova S L,Dineva P S,Manolis G D,Wuttke F. 2014. Seismic response of lined tunnels in the half-plane with surface topography[J]. Bull Earthq Eng,12(2):981–1005. doi: 10.1007/s10518-013-9546-0

    26. Xu H,Li T B,Li L Q. 2011. Research on dynamic response of underground circular lining tunnel under the action of P waves[J]. Appl Mech Mater,99/100:181–189. doi: 10.4028/www.scientific.net/AMM.99-100

    1. [1]

      何颖梁建文林永星 , 2014: 地下夹塞断面形状随机性对平面SH波散射的影响, 地震学报, 36, 584-594. doi: 10.3969/j.issn.0253-3782.2014.04.005

    2. [2]

      梁建文陈健琦巴振宁 , 2013: 弹性层状半空间中无限长洞室对斜入射 平面SH波的三维散射(Ⅱ) 数值结果与分析, 地震学报, 35, 173-183. doi: 10.3969/j.issn.0253-3782.2013.02.004

    3. [3]

      张宁高玉峰何稼徐婕陈欣代登辉 , 2017: 平面SH波作用下部分充填圆弧形沉积谷的二维土层和地形放大效应, 地震学报, 39, 778-797. doi: 10.11939/jass.2017.05.012

    4. [4]

      胡进军1)谢礼立1,2) , 2005: 地震动幅值沿深度变化研究, 地震学报, 27, 68-78.

    5. [5]

      杜修力1, 熊建国2, 关慧敏2 , 1993: 平面 SH 波散射问题的边界积分方程分析法, 地震学报, 15, 331-338.

    6. [6]

      梁建文 冯领香 巴振宁 , 2010: 含断层破碎带场地对平面SH波的放大作用, 地震学报, 32, 300-309.

    7. [7]

      梁建文1)罗 昊1)Vincent W.Lee2) , 2004: 任意圆弧形凸起地形中隧洞对入射平面SH波的影响 , 地震学报, 26, 495-508.

    8. [8]

      梁建文 陈健琦 巴振宁 , 2012: 弹性层状半空间中无限长洞室对斜入射平面SH波的三维散射(Ⅰ)--方法及验证, 地震学报, 34, 785-792.

    9. [9]

      李世愚 陈运泰 , 1999: 分形断层的隧道效应和平面内剪切断层的跨S波速破裂h, 地震学报, 21, 17-23.

    10. [10]

      万志清1, 赵鸿儒2, 彭一民3, 孙进忠3 , 1993: 地下地质结构对地震波传播的影响, 地震学报, 15, 46-52.

    11. [11]

      蔡长青沈建文 , 1998: 基于有物理意义地表地震动的一致概率法, 地震学报, 20, 489-495.

    12. [12]

      王蕾1,2)赵成刚1)屈铁军3) , 2008: SV波入射下地形条件对大跨刚构桥地震响应的影响, 地震学报, 30, 307-314.

    13. [13]

      胡毅力1)许 峻2)段永康2)许昭永3)杨润海3)赵晋明3) , 2004: 波列振幅P em>-Sem>曲线测桩法 , 地震学报, 26, 660-668.

    14. [14]

      吴大铭1, 王培德2, 陈运泰2 , 1989: 用SH波和P波振幅比确定震源机制解di, 地震学报, 11, 275-281.

    15. [15]

      罗诚谢俊举温增平 , 2018: 熊本MW7.0地震近场地表与井下地震动对比研究, 地震学报, 40, 108-120. doi: 10.11939/jass.20170111

    16. [16]

      刘中宪尚策王小燕王冬 , 2017: 三维沉积盆地对地震动的放大效应间接边界元法模拟, 地震学报, 39, 111-131. doi: 10.11939/jass.2017.01.010

    17. [17]

      高阳潘华汪素云 , 2014: 随机有限断层法模拟中强地震近场强震动的参数影响研究, 地震学报, 36, 698-710. doi: 10.3969/j.issn.0253-3782.2014.04.015

    18. [18]

      刘甲美高孟潭陈鲲 , 2015: 地形效应影响下地震动参数与斜坡稳定性的相关性研究, 地震学报, 37, 865-874. doi: 10.11939/jass.2015.05.014

    19. [19]

      雷建成1,2) 高孟潭1) 吕红山1) 亢川川2) 陈 鲲1) , 2010: 四川及邻区不同风险水平下地震动峰值加速度的比值特征, 地震学报, 32, 588-600.

    20. [20]

      杨钢宇1)郭铁栓2)李金龙1)杨导声1) , 1996: 超声地震模型试验在甬江隧道水底基础质量检测中的应用, 地震学报, 18, 518-522.

  • 图 1  弹性半空间的隧道模型

    Figure 1.  Model of tunnel in elastic half space

    图 2  镜像法求解

    Figure 2.  Solving model by image method

    图 3  SH波入射下的地表位移幅值

    Figure 3.  Surface displacement amplitude for SH waves incidence

    图 4  隧道两侧SH波从不同角度入射时的地下位移幅值变化曲线

    Figure 4.  Variation of underground displacement amplitude with incidence $\gamma $ for SH waves on both sides of the tunnel

    图 5  不同隧道埋深时隧道两侧的SH波地下位移幅值变化

    Figure 5.  Variation of underground displacement amplitude with D/a for SH waves on both sides of the tunnel

    图 6  不同入射频率时隧道两侧的SH波地下位移幅值变化曲线

    Figure 6.  Variation of underground displacement amplitude with η for SH waves on both sides of the tunnel

    图 7  不同隧道衬砌刚度隧道两侧的SH波地下位移幅值变化

    Figure 7.  Variations of underground displacement amplitude with lining stiffness for SH waves on both sides of the tunnel

    入射角/°地下位移幅值
    x/a=?3.0x/a=?1.5x/a=1.5x/a=3.0
    02.662.792.792.66
    302.902.832.312.45
    603.302.372.642.61
    903.313.943.373.01

    表 1  距地表6a深度范围内隧道左右两侧最大地下位移幅值

    Table 1.  The maximum amplitude of underground displacement on both sides of tunnel within a depth of 6a from surface

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  • 通讯作者:  周凤玺, geolut@163.com
  • 收稿日期:  2018-06-13
  • 录用日期:  2018-10-25
  • 网络出版日期:  2019-03-01
通讯作者: 陈斌, bchen63@163.com
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