饱和多孔介质的二维Green函数及地震反应的BEM计算

2-D Green's functions for a saturated porous medium and its numerical implementation for seismic response in BEM

按照De Hoop的方法,通过三维解答的积分得到集中力作用下饱和多孔介质U-P形式的二维Green函数,利用耦合纵波的解耦及分波类型的奇异点处理,完成了集中力作用下半空间多孔介质动力响应的BEM计算,通过Duhamel公式积分分别给出了在输入EI Centro和2008年汶川地震加速度记录后的饱和土隧道的地震响应计算。研究结果表明:隧道的地震放大作用明显;EI Centro或汶川2008地震记录作用下,隧道底部的响应均要大于中间和顶部的响应。

In accordance with De Hoop's suggestion,2-D Green's function in U-P formation for a saturated porous medium subjected to a concentrated force has been derived via its 3-D form's integration,Using the decoupling of coupled longitudinal wave and singular point processing of wavelet type,BEM calculation of porous media dynamic response in half space subjected to a concentrated force was derived.After EI Centro and Wenchuan 2008 earthquake acceleration records were input into the Duhamel formula integral,respectively,the seismic response of the saturated soil tunnel was proposed.The results show that,the seismic magnification response of the tunnel is obvious.Under the action of EI Centro or Wenchuan 2008 earthquake record,the response at the bottom of the tunnel is greater than the middle and the top.