Full text loading...
-
Determining finite difference weights for the acoustic wave equation by a new dispersion‐relationship‐preserving method
- Source: Geophysical Prospecting, Volume 63, Issue 1, Jan 2015, p. 11 - 22
-
- 01 Dec 2012
- 01 Nov 2013
- 02 Oct 2014
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.