A recipe for stability of finite‐difference wave‐equation computations-Reference-Cited by-同舟云学术

A recipe for stability of finite‐difference wave‐equation computations

Published:1999-05 Issue:3 Volume:64 Page:967-969
ISSN:0016-8033
Container-title:GEOPHYSICS
language:en
Short-container-title:GEOPHYSICS

Author:

Lines Larry R.¹,Slawinski Raphael¹,Bording R. Phillip²

Affiliation:

1. University of Calgary, Dept. of Geology and Geophysics, 2500 University Dr. N. W., Calgary, Alberta T2N 1N4, Canada. Emails:

2. PGS SERES Inc., 738 Highway 6 South, Suite 300, Houston, Texas 77079.

Abstract

Finite‐difference solutions to the wave equation are pervasive in the modeling of seismic wave propagation (Kelly and Marfurt, 1990) and in seismic imaging (Bording and Lines, 1997). That is, they are useful for the forward problem (modeling) and the inverse problem (migration). In computational solutions to the wave equation, it is necessary to be aware of conditions for numerical stability. In this short note, we examine a convenient recipe for insuring stability in our finite‐difference solutions to the wave equation. The stability analysis for finite‐difference solutions of partial differential equations is handled using a method originally developed by Von Neumann and described by Press et al. (1986, p. 827–830).

Publisher

Society of Exploration Geophysicists

Subject

Geochemistry and Petrology,Geophysics

Link

https://library.seg.org/doi/pdf/10.1190/1.1444605

Reference8 articles.

1. Bording, R. P., and Lines, L. R., 1997, Seismic modeling and imaging with the complete wave equation: Soc. Expl. Geophys.

2. Kelly, I. G., 1998, Modeling and migration of Hibernia seismic data: M.Sc. thesis, Memorial Univ. of Newfoundland.

3. Kelly, K. R., and Marfurt, K. J., 1990, Numerical modeling of seismic wave propagation: Soc. Expl. Geophys.

4. Mitchell, A. R., and Griffiths, D. F., 1980, The finite difference method in partial differential equations: John Wiley & Sons, Inc.

5. Large‐scale three‐dimensional seismic models and their interpretive significance

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