SCATTERING OF RAYLEIGH WAVE BY A LINED TUNNEL IN ELASTIC HALF-SPACE
LIU Zhongxian1，2，LIANG Jianwen2，ZHANG He2
(1. Key Laboratory of Soft Soils and Engineering Environment of Tianjin，Tianjin Institute of Urban Construction，Tianjin
300384，China；2. Department of Civil Engineering，Tianjin University，Tianjin 300072，China)
Abstract：Two-dimensional scattering of incident Rayleigh waves by a lined tunnel in elastic half-space is solved and analyzed by the high-precision indirect boundary integral equation method(IBIEM). It is found that the scattering around the lined tunnel may be significantly different from that around the unlined tunnel；and the lining stiffness has a great effect on the wave scattering. The dynamic response and dynamic stress concentration depend considerably on the stiffness ratio of the lining to the surrounding soil，the embedded depth and the radius of the tunnel，the frequency of incident waves，etc. For the soft lining，there is a large displacement amplification for the case of shallow tunnel. While for the rigid lining，the dynamic stress concentration at the inner surface of the lining is very large. In the whole，the scattering of Rayleigh wave around the tunnel gradually weakens as the depth of tunnel increases.
HASHASHA Y M A，HOOK J J，SCHMIDT B，et al. Seismic design and analysis of underground structures[J]. Tunneling and Underground Space Technology，2001，16(4)：247-293.
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2011, Vol. 30 
