Fermat's principle for seismic rays in elastic media

被引：15

作者：

Bóna, A ^{[1
]}

Slawinski, MA ^{[1
]}

机构：

[1] Mem Univ Newfoundland, Dept Earth Sci, St Johns, NF A1C 5S7, Canada

来源：

JOURNAL OF APPLIED GEOPHYSICS | 2003年 / 54卷 / 3-4期

关键词：

Fermat's principle; seismic ray theory; elasticity; anisotropy; nonuniformity;

D O I：

10.1016/j.jappgeo.2003.08.019

中图分类号：

P [天文学、地球科学];

学科分类号：

07 ;

摘要：

We prove that rays in linearly elastic anisotropic nonuniform media obey Fermat's principle of stationary traveltime. First, we formulate the concept of rays, which emerges from the Hamilton equations. Then, we show that these rays are solutions of the variational problem stated by Fermat's principle. This proof is valid for all rays except the ones associated with infection points on the phase-slowness surface. (C) 2003 Elsevier B.V All rights reserved.

引用

页码：445 / 451

页数：7

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