深部富水岩石拱形隧道地震响应解析解  

Analytical solution for seismic response of deep arch tunnels in saturated rock

作　　者：禹海涛 陈功[3] YU Haitao;CHEN Gong(State Key Laboratory of Disaster Reduction in Civil Engineering,Tongji University,Shanghai 200092,China;Key Laboratory of Geotechnical and Underground Engineering of Ministry of Education,Tongji University,Shanghai 200092,China;Department of Geotechnical Engineering,Tongji University,Shanghai 200092,China)

机构地区：[1]同济大学土木工程防灾国家重点实验室,上海200092 [2]同济大学岩土及地下工程教育部重点实验室,上海200092 [3]同济大学地下建筑与工程系,上海200092

出　　处：《中南大学学报（自然科学版）》2021年第8期2783-2792,共10页Journal of Central South University:Science and Technology

基　　金：国家自然科学基金资助项目(41922059,51678438);国家重点研发计划项目(2017YFC1500703,2018YFC1504305);上海市科委重点支撑课题(18DZ1205103);中央高校基本科研业务费专项资金资助项目(22120210025)。

摘　　要：基于目前岩石地层隧道常采用拱形断面形式,但现有隧道地震响应解析方法仅适用于圆形或矩形断面等,以均质地层中的深部富水岩石拱形隧道为对象,分别考虑地层不排水、全排水以及地层与结构间不滑移和全滑移等典型条件,推导地震剪切波作用下衬砌与地层的控制方程,运用保角映射方法推导出深部富水岩石拱形隧道地震响应的解析解。将解析解与有限元模拟结果对比分析,验证本文解析解的正确性与适用性。最后应用该解析方法进行多工况参数敏感性分析,揭示地层−结构相对刚度比、地层排水条件、衬砌厚度等因素对深部富水岩石拱形隧道地震响应的影响规律。研究结果表明:随着地层−结构相对刚度比增大,隧道的内力响应降低,位移响应增大,但当地层刚度较大时,相对刚度比对隧道的地震响应影响较小;全排水条件下隧道的内力与位移响应均比地层不排水条件下的响应小;提高衬砌厚度会显著改变隧道的弯矩与轴力响应,但对隧道的最大应力与位移响应影响较小。Considering that arch shaped tunnels are often selected in tunnels constructed in saturated rock,but the existing analytical method for seismic analysis is only applicable for circular and rectangular tunnels,the deep arch tunnels in homogeneous saturated rock were studied.The undrained,drained,no-slip and full-slip conditions were taken into account.The governing equations of liner and ground subjected seismic shear wave were derived by using conformal mapping method.Then,analytical solution for seismic response of deep arch tunnels in saturated rock was proposed.By comparing the results of the analytical solution with the finite element simulation results,the correctness and applicability of the analytical solution were verified.Finally,a series of parameters analysis was carried out by analytical method,and the effects of relative stiffness ratio between ground and liner,drainage conditions of ground and liner thickness on the seismic response of deep arch tunnel in saturated rock were studied.The results show that with the increase of the relative stiffness ratio,the internal force response of the tunnel decreases,while the displacement response increases.When the stiffness of ground is large,the effects of relative stiffness will be negligible.The internal force and displacement response of the tunnel under drained condition are smaller than those under undrained condition.The increases of the liner thickness will significantly change the bending moment and axial force response of the tunnel,but the effects of the thickness of liner on the maximum stress and displacement response of the tunnel are negligible.

关 键 词：深埋隧道 地震响应 饱和岩石 拱形隧道 解析解 

分 类 号：TU92[建筑科学—建筑设计及理论]