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利用波函数展开法,给出了地下圆形衬砌隧道对入射平面P波和SV波散射问题的一个级数解答,当衬砌与半空间介质相同时,该解答退化为文献中的无衬砌隧道的解答。级数解答为进一步定量研究隧道对入射平面P波和SV波的放大作用以及入射波长、入射角度、隧道直径和衬砌刚度等参数对隧道沿线地震动的影响奠定了理论基础。
Using the wave function expansion method, a series solution to the scattering problems of P and SV waves in the incident circular plane is given. When the lining is the same as the half-space medium, the solution degenerates into the unlined tunnel in the literature answer. The series solution provides a theoretical basis for further quantitative study of the amplification effect of tunnels on the P and SV waves of the incident plane and the influence of the incident wavelength, incident angle, tunnel diameter and lining stiffness on the ground motion along the tunnel.