A note on the dynamic and static displacements from a point source in multilayered media

被引：728
作者：
Zhu, LP [1 ]
Rivera, LA
机构：
[1] St Louis Univ, Dept Earth & Atmospher Sci, St Louis, MO 63103 USA
[2] Ecole & Observ Sci Terre, F-67084 Strasbourg, France
[3] CALTECH, Seismol Lab, Pasadena, CA 91125 USA
来源：
GEOPHYSICAL JOURNAL INTERNATIONAL | 2002年 / 148卷 / 03期
关键词：
deformation; elastic wave theory; seismic wave propagation;
D O I：
10.1046/j.1365-246X.2002.01610.x
中图分类号：
P3 [地球物理学]; P59 [地球化学];
学科分类号：
0708 ; 070902 ;
摘要：
A simple and unified approach is presented to solve both the elasto-dynamic and elasto-static problems of point sources in a multi-layered half-space by using the Thompson-Haskell propagator matrix technique. It is shown that the apparent incompatibility between the two is associated with the degeneracy of the dynamic problem when omega= 0 and both can be handled uniformly using the Jordan canonical forms of matrices. We re-derive the propagator matrices for both the dynamic and static cases. We then show that the dynamic propagator matrix and the solution converge to their static counterparts as omega--> 0. Satisfactory static deformation can be obtained numerically using the dynamic solution at near-zero frequency.
引用
收藏
页码：619 / 627
页数：9
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