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横观各向同性层状半空间中凹陷地形对平面SH波的散射

DOI: 10.13197/j.eeev.2015.02.9.bazn.002, PP. 9-21

Keywords: 横观各向同性,格林影响函数,凹陷地形,平面SH波,间接边界元

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Abstract:

沉积风化作用下土体表现出明显的成层特性和横观各向同性(TI)特性.将更为符合实际的TI介质模型引入到局部地形对地震波的散射问题研究有着重要的理论意义和工程实用价值.本文在TI土层平面外动力刚度矩阵的基础上,推导了斜线均布荷载动力格林函数,进而以该格林函数为基本解建立间接边界元方法研究了TI层状半空间中凹陷地形对平面SH波的散射问题.文中验证了方法的正确性,并分别在频域和时域内进行了数值计算分析.研究表明,TI介质中凹陷地形对SH波的散射与各向同性介质情况存在较大差异,凹陷附近地表位移幅值依赖于SH波的入射角度、入射频率和竖向与水平剪切模量比值;另外土体竖向与水平剪切模量比值对基岩上单一土层场地动力特性有着显著影响,进而使得TI层状场地凹陷附近位移幅值与各向同性情况差异变得更为复杂.

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