1887
Volume 63, Issue 1
  • E-ISSN: 1365-2478

Abstract

ABSTRACT

Numerical simulation of the acoustic wave equation is widely used to theoretically synthesize seismograms and constitutes the basis of reverse‐time migration. With finite‐difference methods, the discretization of temporal and spatial derivatives in wave equations introduces numerical grid dispersion. To reduce the grid dispersion effect, we propose to satisfy the dispersion relation for a number of uniformly distributed wavenumber points within a wavenumber range with the upper limit determined by the maximum source frequency, the grid spacing and the wave velocity. This new dispersion‐relationship‐preserving method relatively uniformly reduces the numerical dispersion over a large‐frequency range. Dispersion analysis and seismic numerical simulations demonstrate the effectiveness of the proposed method.

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/content/journals/10.1111/1365-2478.12160
2014-10-02
2019-12-09
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  • Article Type: Research Article
Keyword(s): Acoustic wave equation , Dispersion and Modelling
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