Vidale, John E. and Clayton, Robert W.
A stable free-surface boundary condition for two-dimensional
elastic finite-difference wave simulation.
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Two of the persistent problems in finite-difference solutions of the elastic wave equation are the limited stability range of the free-surface boundary condition and the boundary condition's treatment of lateral variations in velocity and density. The centered-difference approximation presented by Alterman and Karal (1968), for example, remains stable only for β/α greater than 0.30, where β and α are the shear (S) and compressional (P) wave velocities. The one-sided approximation (Alterman and Rotenberg, 1969) and composed approximation (Ilan et al., 1975) have similar restrictions. The revised composed approximation of Ilan and Loewenthal (1976) overcomes this restriction, but cannot handle laterally varying media properly.
|Additional Information:||© 1986 Society of Exploration Geophysicists.
Manuscript received by the Editor May 20. 1985; revised manuscript received April 7, 1986.
This work was partly supported by AFSOR contract F19628-83-K-0010, and a research grant from Ametek Inc. J.E.V. was supported by an NSF fellowship. Critical reviews by John Louie, Heidi Houston, and anonymous reviewers were helpful.
Contribution no. 4227, from the Div. of Geological and
Planet. Sciences, California Institute of Technology, Pasadena, CA, 91125.|
|Funding Agency||Grant Number|
|Air Force Office of Scientific Research (AFOSR)||F19628-83-K-0010|
|Other Numbering System:|
|Other Numbering System Name||Other Numbering System ID|
|Caltech Division of Geological and Planetary Sciences||4227|
|Official Citation:||John E. Vidale and Robert W. Clayton
A stable free-surface boundary condition for two-dimensional elastic finite-difference wave simulation
Geophysics, December 1986, v. 51, p. 2247-2249, doi:10.1190/1.1442078|
|Usage Policy:||No commercial reproduction, distribution, display or performance rights in this work are provided.|
|Deposited On:||10 Oct 2012 21:44|
|Last Modified:||31 Jan 2017 21:43|
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