摘要
地壳由半无限大的基岩上一层厚度为H的表土层组成 ,入射地震波为垂直的SH波 ,产生水平地面运动。当浅源大地震发生时 ,在极震区以外行波传播产生地面运动将使地壳介质有非线性的有限弹性变形。用小参数摄动法使非线性控制方程化为线性化的小参数各阶控制方程 。
The crust is constituted by the rock and a surface layer of soil with depth H over it.The incident seismic wave is a vertical SH shear wave to cause horizontal ground motion.Once strong earthquake occurs,the region a little far from the epicenter where the travelling waves emitted from the shallow earthquake source would make the crust to have finite elastic deformation.In this study,the small parameter perturbation method is applied to linearize the nonlinear governing equation to be linear asymptotic governing equation for each order of the small parameter;and the solutions for the first two asymptotic governing equations are given.
出处
《地震研究》
CSCD
北大核心
2002年第1期48-52,共5页
Journal of Seismological Research
关键词
有限弹性变形
小参数摄动法
地壳
地震波
微分方程
通解
特解
非线性控制方程
Finite elastic deformation
method of small parameter perturbation
seismic waves in the crust
general and particular solutions of partial differential equations
nonlinear governing equation
