Semi-analytical Method for Dynamic Respones Calculation of Tunnel Buried in Foundation with Unsaturated Super-stratum

被引：0
|
作者：
Guo H. [1 ,2 ]
Di H. [1 ,2 ]
Zhou S. [1 ,2 ]
Wang B. [1 ,2 ]
He C. [1 ,2 ]
机构：
[1] Key Laboratory of Road and Traffic Engineering of the Ministry of Education, Tongii University, Shanghai
[2] Shanghai Key Laboratory of Rail Infrastructure Durability and System Safety, Tongii University, Shanghai
来源：
Tongji Daxue Xuebao/Journal of Tongji University | 2021年 / 49卷 / 04期
关键词：
Saturated soil; Tunnel; Unsaturated super-stratum; Wave functions transformation;
D O I：
10.11908/j.issn.0253-374x.20390
中图分类号：
学科分类号：
摘要：
This paper presents an analytical method to calculate the dynamic response of tunnel embedded in saturated foundation with an unsaturated super-stratum. The vibration characteristics of foundation soil and tunnel lining were simulated by unsaturated wave equation and shell vibration equation respectively. Based on the method of separating variables and Helmholtz vector decomposition theorem, the expression of total wave field can be obtained, which includes cylindrical wave and plane wave. The system dynamic response was solved by the wave function transformation method, based on the boundary assumptions of foundation surface, soil interface and tunnel soil interface. The proposed method was verified by comparing with the existing models. Finally, based on the proposed method, the dynamic response of system was analyzed by a cases study. The results show that the displacement response of the ground is affected by the overlying unsaturated soil layer. The critical velocity is less affected by the saturation of overlying soil and mainly affected by the characteristics of soil that tunnel located. © 2021, Editorial Department of Journal of Tongji University. All right reserved.
引用
收藏
页码：467 / 475
页数：8
相关论文
共 14 条
  • [1] METRIKINE A V, VROUWENVELDER A C W M., Surface ground vibration due to a moving train in a tunnel: two-dimensional model, Journal of Sound and Vibration, 234, 1, (2000)
  • [2] HU A F, LI Y J, DENG Y B, Et al., Vibration of layered saturated ground with a tunnel subjected to an underground moving load, Computers and Geotechnics, (2020)
  • [3] FORREST J A, HUNT H E M., A three-dimensional model for calculation of train-induced ground vibration, Journal of Sound and Vibration, 294, 4, (2006)
  • [4] DI H G, ZHOU S H, LUO Z, Et al., A vehicle-track-tunnel-soil model for evaluating the dynamic response of a double-line metro tunnel in a poroelastic half-space, Computers and Geotechnics, 101, (2018)
  • [5] YUAN Z H, BOSTROM A, CAI Y Q., Benchmark solution for vibrations from a moving point source in a tunnel embedded in a half-space, Journal of Sound and Vibration, 387, (2017)
  • [6] HE C, ZHOU S H, DI H G, Et al., Analytical method for calculation of ground vibration from a tunnel embedded in a multi-layered half-space, Computers and Geotechnics, 99, (2018)
  • [7] ZHOU S H, HE C, ASCE A M, Et al., Modelling of vehicle-track-tunnel-soil system considering the dynamic interaction between twin tunnels in a poroelastic half-space, International journal of geomechanics, 20, 1, (2020)
  • [8] FREDLVND D G, RAHARDJO H., Soil mechanics for unsaturated soils, (1997)
  • [9] XU Mingjiang, WEI Demin, 3D non-axisymmetrical dynamic response of unsaturated soils, Engineering Mechanics, 3, 28, (2011)
  • [10] XU Mingjiang, WEI Demin, HE Chunbao, Et al., Axisymmetric steady state dynamic response of layered unsaturated soils, Rock and Soil Mechanics, 32, 4, (2011)
12