摘要
在应用有限元模拟地震工程中的波动散射问题时,为了计算边界节点的运动和实现波动能量的输入,必须首先确定边界节点的内行波场即背景水平成层半空间的自由场。利用显式有限差分法的内节点位移计算公式和基于水平成层介质波动传播特点建立的相邻节点间自由场运动的关系式,给出了计算水平成层半空间自由场的时域方程(以入射侧边界节点为例)。本方法是显式有限元意义上的数值精确解,可应用于近场波动数值模拟中内行波场与散射波场的时域同步模拟。
The innertransmitting wave motion, ie., the freefield motion in a layered halfspace background must be determined in order to calculate the motion of boundary nodes and input wave motion energy, when applying finite element in the simulation of the wave motion scattering problem. A time domain equation set is presented for calculating freefield motion of layered halfspace, taking side boundary nodes for the example. The equation set takes the consideration of decoupling motion equation of finite element and the relational formulae between neighboring nodes based on the horizontal propagating characteristics of a freefield motion system. The method gives a numerical exact solution in the sense of finite element, which can be applied to synchronized simulation of the innertransmitting and scattering wavemotion field in timedomain.
出处
《吉林大学学报（地球科学版）》
EI
CAS
CSCD
北大核心
2003年第3期372-376,共5页
Journal of Jilin University：Earth Science Edition
基金
国家自然科学基金资助项目(50178065)
地震科学联合基金资助课题(101062)
