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。
The in version method for Lame’s parameters λ、μand dissipative factor γ inthe layered earth model is set up by means of the 2-D one order dissipative elasticwave equation in the vector form. Through transformation and decomposition,theinverse problem forλ、μ、γ in the 2-D one order dissipative elastic wave equationin the vector form is changed into the inverse problem forλ、μ、γ in the 1-D oneorder partial differential system with a free boundary. It is proved the inverseproblem is well-posed. So we know that Lame’s parameters λ、μand dissipativefactor γ in the layered earth model can be uniquely determined from the particlevelocity fields on the line in its surface at all times due to the transverse andlongitudinal pulse plane waves simultaneously emitted at normal incidence.
出处
《应用科学学报》
CAS
CSCD
1994年第4期361-367,共7页
Journal of Applied Sciences
