An analytical solution to the scattering of plane P and SV waves by a composite lining tunnel with imperfect interfaces in full space is presented using the wavefunction expansion method. The spring model is introduced to depict the imperfect interfaces among the surrounding rock, primary support, isolation layer and final lining of the tunnel. The influences of incident wave types, interface spring coefficient, and shear modulus and thickness of the isolation layer on the dynamic stress concentration factor (DSCF) of tunnel are systematically discussed. It is concluded that the DSCF generated by SV waves in the final lining of composite tunnel is larger than that of P waves. The interface imperfection tends to weaken the DSCF in final lining but intensify that in primary support. The effect of isolation layer is dependent on its shear modulus and thickness as well as the types and frequency of the incident waves.

利用波函数展开法，给出了全空间界面不完善的复合衬砌隧道对平面P波和SV波散射的解析解。引入弹簧模型来描述隧道的围岩，主要支撑，隔离层和最终衬砌之间的不完美界面。系统地讨论了入射波类型，界面弹性系数，剪切模量和隔离层厚度对隧道动应力集中系数（DSCF）的影响。结论是：SV波在复合隧道最终衬砌中产生的DSCF大于P波。界面缺陷往往会削弱最终衬砌中的DSCF，但会加剧主要支撑层中的DSCF。