A wave numerical method for seismic response of tunnels in bedding strata
HU Hongyun1,2,ZHOU Xiaojun1,2,WANG Jinghe1,2
(1. Key Laboratory of Transportation Tunnel Engineering,Ministry of Education,Southwest Jiaotong University,Chengdu,Sichuan 610031,China;2. School of Civil Engineering,Southwest Jiaotong University,Chengdu,Sichuan 610031,China)
Abstract:The bedding rock mass is a common geological configuration in tunnel engineering. The seismic damage occurs frequently in the bedding strata,but there is no effective method of seismic response analysis. In this paper,a method of seismic wave input and a corresponding formula were established. The method combines the FEM with the analysis of the time-domain wave and adopts the visco-elastic artificial boundary. The transverse isotropic constitutive law of bedding rock mass is used with the consideration of the characteristics of polarization and phase velocity change of the seismic wave in rock mass. The method is applicable to the case of the oblique incidence direction of earthquake wave in parallel with the longitudinal section of the tunnel. In order to verify the feasibility of the method,the seismic response of a high-speed railway tunnel in a bedding rock mass was studied. The results show that,when the rock layer is horizontal or vertical,the qP wave causes the symmetric internal force envelope of lining. When the rock layer is inclined,the qP wave causes the asymmetric internal force envelope,and the amplitude of the asymmetry correlates to the dip angle of the rock layer. When the dip angles of rock layers are different,the difference of bending moments is larger. The maximum of hoop bending moment is located at the arch foot,while the maximum longitudinal bending moment is located at the vault and invert no matter the moment envelope is symmetrical or not. When the rock layer is simplified as the isotropic medium,the P wave causes the symmetric internal force envelope,which is close to the results when the rock layer is simplified as the transversely isotropic medium. The findings further verify the rationality and reliability of the method.