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应用科学学报 ›› 1994, Vol. 12 ›› Issue (4): 361-367.

• 论文 • 上一篇    下一篇

反演横向均匀地球模型中的λ、μ、γ

郑家茂1, 王元明1, 韦钰1, 李幼铭2   

  1. 1. 东南大学;
    2. 中科院地球所
  • 收稿日期:1992-12-06 出版日期:1994-12-31 发布日期:1994-12-31

INVERSION FOR LAMEE'S PARAMETERS λ、μ AND DISSIPATIVE FACTOR γ IN LAYERED EARTH MODEL

ZHENG JIAMAO1, WANG YUANMING1, WEI YU1, LI YOUMING2   

  1. 1. Southeast University;
    2. Instituteof Geophysics, Chinese Academy of Sciences
  • Received:1992-12-06 Online:1994-12-31 Published:1994-12-31

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摘要： 该文从二维平面应变情形对应的带阻尼项的一阶矢量弹性波方程出发,将反演λ、μ、γ的问题转化成一个带自由边界的偏微分方程组的混合型定解反问题,然后证明定解反问题是适定的。从而知道,利用地表面一条线上测得的,由该线上某一点同时发射沿线水平方向和垂直于地表方向上的脉冲横波与脉冲纵波,其激发产生的沿线水平方向和垂直于地表方向上的振动速度响应信息,就可以反演出Lame系数λ、μ和损耗因子γ。

关键词: Lame系数, 弹性波方程, 损耗因子, 反问题

Abstract: The in version method for Lame's parameters λ、μ and dissipative factor γ in the layered earth model is set up by means of the 2-D one order dissipative elastic wave equation in the vector form. Through transformation and decomposition,the inverse problem for λ、μ、γ in the 2-D one order dissipative elastic wave equation in the vector form is changed into the inverse problem for λ、μ、γ in the 1-D one order partial differential system with a free boundary. It is proved the inverse problem is well-posed. So we know that Lame's parameters λ、μ and dissipative factor γ in the layered earth model can be uniquely determined from the particle velocity fields on the line in its surface at all times due to the transverse and longitudinal pulse plane waves simultaneously emitted at normal incidence.

Key words: inverse problem, dissipative factor, Lanle's parameter, elastic wave equation