平面P波入射下海底衬砌隧道地震响应解析分析  

Seismic response of undersea lining tunnels under incident plane P waves

作　　者：朱赛男 李伟华[1] Vincent W Lee 赵成刚[1] ZHU Sai-nan;LI Wei-hua;Vincent W Lee;ZHAO Cheng-gang(School of Civil Engineering and Architecture,Beijing Jiaotong University,Beijing 100044,China;University of Southern California,Los Angeles,CA 90089-2531,USA)

机构地区：[1]北京交通大学土木建筑工程学院,北京100044 [2]University of Southern California,Los Angeles,CA 90089-2531,USA

出　　处：《岩土工程学报》2020年第8期1418-1427,共10页Chinese Journal of Geotechnical Engineering

基　　金：国家重点基础研究发展计划(“973”计划)项目(2015CB057800);国家自然科学基金项目(51378058)。

摘　　要：基于Biot流体饱和多孔介质和理想流体介质波动理论,采用Hankel函数积分变换法(HFITM),在考虑水下饱和土的流固耦合及水–土–结构动力相互作用条件下,给出海底衬砌隧道对平面P波散射问题的解析解。Hankel函数积分变换法能够较好地处理半空间表面边界条件,避免了传统研究中的"大圆弧假定"。在解析解的基础上,计算分析了入射角度、入射频率、海水水深和隧道埋深等因素对场地位移和隧道应力的影响。结果表明:入射角度、入射频率、海水水深和隧道埋深对场地位移和隧道应力影响明显;入射角不同时,场地水平位移和隧道动水压力随着入射角的增加而增加,竖向位移和隧道总应力随着入射角的增加而减小;入射频率不同时,隧道应力随着频率的增加而明显减小;海水水深不同时,水深为10倍隧道半径时的场地位移和隧道应力最大;隧道埋深不同时,场地位移和隧道应力随着埋深的增加而减小。Based on the wave theory of fluid-saturated porous media by Biot and the ideal wave theory of fluid media,considering the conditions of fluid-solid coupling of undersea saturated soil and seawater-saturated soil-structure dynamic interaction,using the Hankel function integral transformation method(HFITM),an analytical solution is obtained for the scattering problem of incident P waves for an undersea lining tunnel.The Hankel function integral transformation method can better deal with the surface boundary conditions of half space,avoiding the"big arc assumption"in the traditional researches.Based on the analytical solution,the effects of incident angle and incident frequency of P waves,depth of seawater and buried depth of tunnel on site displacement and stress are calculated and analyzed.The results show that the incident angle of P waves,incident infrequency,depth of seawater and buried depth of tunnel have obvious influences on site displacement and tunnel stress.The horizontal displacement of the site and hydrodynamic pressure of the tunnel increase with the increment of incident angle,and the vertical displacement and total tunnel stress decrease with the increment of incident angle.The tunnel stress decreases significantly with the increase of the incident frequency.The site displacement and tunnel stress are the largest when the water depth is 10 times the tunnel radius.The site displacement and tunnel stress decrease with the increasing buried depth.

关 键 词：海底衬砌隧道 平面P波 散射问题 地震响应 解析解 

分 类 号：TU435[建筑科学—岩土工程]