地下圆形衬砌隧道对沿线地震动的影响(I):级数解

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。

Effects of an underground lined tunnel on ground motion(I): series solution

A series solution for the effects of an underground circular lined tunnel on ground motion under incident plane P and SV waves is presented using the wave expansion method. When the liner medium and the half-space medium are identical, the series solution can be reduced to the solution for an unlined tunnel in the literature. The solution can be used to quantitatively analyze the amplification of incident P and SV waves due to the underground tunnel, and the effects of incident wavelength, incident angle, diameter of the tunnel, and liner stiffness on the ground motion.