近断层场地中衬砌隧道对平面SH波的散射

刘中宪; 刘佳乔; 黄磊

doi:10.13409/j.cnki.jdpme.2020.04.009

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近断层场地中衬砌隧道对平面SH波的散射

更新时间：2025-09-25

- 近断层场地中衬砌隧道对平面SH波的散射
- Scattering of Plane SH Wave by Lining Tunnel in Near Fault Site
- 防灾减灾工程学报 2020年40卷第4期页码：556-565
- 作者机构：
  
  1.天津城建大学土木工程学院，天津 300384
  2.天津市软土特性与工程环境重点实验室，天津 300384
  3.天津大学建筑工程学院，天津 300372
- 作者简介：
  
  刘中宪(1982-)，男，教授，博士后。主要从事地震工程、工程振动研究。Email: zhongxian1212@163.com
- 基金信息：
  
  国家自然科学基金项目(51678390);天津市科技支撑重点项目(17YFZCSF01140);天津市自然科学基金重点项目(18JCZDJC39200)
- DOI：10.13409/j.cnki.jdpme.2020.04.009
  中图分类号： U451
- 收稿：2019-07-01，
  
  修回：2019-09-17，
  
  纸质出版：2020-08-15
- 稿件说明：
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刘中宪,刘佳乔,黄磊.近断层场地中衬砌隧道对平面SH波的散射[J].防灾减灾工程学报,2020,40(04):556-565.

LIU Zhongxian,LIU Jiaqiao,HUANG Lei.Scattering of Plane SH Wave by Lining Tunnel in Near Fault Site[J].Journal of Disaster Prevention and Mitigation Engineering,2020,40(04):556-565.
刘中宪,刘佳乔,黄磊.近断层场地中衬砌隧道对平面SH波的散射[J].防灾减灾工程学报,2020,40(04):556-565. DOI： 10.13409/j.cnki.jdpme.2020.04.009.

LIU Zhongxian,LIU Jiaqiao,HUANG Lei.Scattering of Plane SH Wave by Lining Tunnel in Near Fault Site[J].Journal of Disaster Prevention and Mitigation Engineering,2020,40(04):556-565. DOI： 10.13409/j.cnki.jdpme.2020.04.009.

摘要

采用间接边界单元法，求解断层场地中衬砌隧道对平面SH波的散射。首先，通过IBEM求解半空间波动问题的思路，在单层位势理论下，将虚拟荷载施加于散射体表面构造散射波场。然后根据交界面处位移连续条件和应力连续条件建立方程，进而求解得出虚拟荷载密度。半空间自由波场与散射波场通过叠加得出总波场，将得出的结果与现有的精确解进行对比，从而使本方法的计算精度得到验证。最后，通过求得的详细数值结果，讨论了半空间中断层场地和衬砌隧道对平面SH波的散射规律。数值分析结果表明:近断层场地衬砌隧道附近SH波的散射同无断层情况相比差异显著，动力反应特征主要依赖于不同断层倾角、隧道与断层距离、SH波入射角度、入射频率等参数。总体上看，SH波入射下，当衬砌隧道位于断层上盘时，断层的存在对衬砌隧道的动应力集中因子会有一定的缩小效应；当衬砌隧道位于断层下盘时，断层的存在对衬砌隧道的动应力集中因子会有放大效应，应力增幅可以达到30%。实际隧道结构动力分析宜根据实际工况考虑断层存在的影响。

Abstract

In this paper

indirect boundary element method is used to solve the scattering of plane SH wave in fault site and lining tunnel. First

referring to IBEM solution of half-space wave problem

the scattering wave field is constructed by applying virtual load on the scattering body surface based on the monolayer potential theory. Then

on the basis of the continuous conditions of stress and displacement at the boundary of the crushing zone

the virtual load density is established and solved considering the zero stress conditions of the half-space surface and the pore surface. The total wave field is obtained by the superposition of scattered wave field and half-space free wave field. The accuracy of the method is verified by comparing with the existing exact solutions. Finally

through detailed numerical results

the scattering rule of plane SH wave in fault site and lining tunnel in half space is discussed. Results of numerical analysis show that the scattering of SH wave near the tunnel lining closed to the fault site is significantly different from that without fault. The dynamic response characteristics mainly depend on the inclination angle fault wall

distance between the tunnel and the fault

incidence angle of SH wave

incidence frequency of SH wave and other parameters. In general

when the lining tunnel with the incidence of SH wave is located in the hanging wall of the fault

the existence of the fault will have a certain reduction effect on the dynamic stress concentration factor of the lining tunnel. When the lining tunnel is located in the footwall of the fault

the existence of the fault will magnify the dynamic stress concentration factor of the lining tunnel

and the stress increase can reach 30%. In the dynamic analysis of tunnel structure

the influence of faults should be considered according to the actual working conditions.

关键词

Keywords

references

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