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.
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Received: 25 March 2011
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