地下洞室群对地面运动影响问题的级数解答:SH波入射

采用波函数展开法给出平面SH波入射下半空间中洞室群对地面运动影响问题的一个级数解答，并分析了入射波频率和入射角以及两洞室之间距离等参数对地面运动的影响。数值结果表明，地下洞室群对沿线地面运动具有显著的放大作用：两个洞室情况地面运动可以达到单个洞室情况的1．6倍、无洞室情况的3．5倍以上。建议地铁等地下工程在设计和规划时应考虑工程建设后对沿线设计地震动的影响。

A series solution for surface motion amplification due to underground group cavities: incident SH waves

By using wave function expansion method, a series solution of surface motion amplification due to underground group cavities in half-space for incident plane SH waves was given, and effects of parameters such as the frequency of the incident waves, the angle of incident waves, the distance between the two cavities, etc. on the surface motion amplification were analyzed. The results show that the underground group cavities significantly amplify the surface motion: the surface motion for twin cavities can be 1.6 times of that for single cavity, and 3.5 times of that for no cavity. It is suggested that the effect of subways on ground motion should be considered when the subways are planned and designed.