| 有限弹性变形地壳中的地震波 |
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| 引用本文： | 范家参.有限弹性变形地壳中的地震波[J].地震研究,2002,25(1):48-52. |
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| 作者姓名： | 范家参 |
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| 作者单位： | 昆明理工大学新迎校区,云南,昆明,650051 |
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| 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为线性化的小参数各阶控制方程，得出头两阶线性控制方程的解析解。
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| 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 |
Seismic Waves in the Crust with Finite Elastic Deformation |
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| Fan Jiashen.Seismic Waves in the Crust with Finite Elastic Deformation[J].Journal of Seismological Research,2002,25(1):48-52. |
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| Authors: | Fan Jiashen |
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| Abstract: | 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. |
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| Keywords: | Finite elastic deformation method of small parameter perturbation seismic waves in the crust general and particular solutions of partial differential equations nonlinear governing equation |
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