Publications
Detailed Information
Improved frequency-domain elastic wave modeling using weighted-averaging difference operators
Cited 57 time in
Web of Science
Cited 90 time in Scopus
- Authors
- Issue Date
- 2000
- Citation
- Geophysics, 65, 884-895
- Abstract
- We develop a new finite-difference scheme that reduces
the number of grid points per wavelength required
in frequency-domain elastic modeling. Our approach
computes weighted averages of the spatial secondorder
derivative and the mass acceleration terms using
a 25-point computational stencil. By determining the
weighting coefficients to minimize numerical dispersion
and numerical anisotropy, we reduce the number of grid
points to 3.3 per shear wavelength, with a resulting error
in velocities smaller than 1%. Our choice of grid
points reduces the computer memory needed to store
the complex impedance matrix to 4% of that for a conventional
second-order scheme and to 54% of that for a
combined second-order scheme. The 25-point weighted
averaging scheme of this paper makes it possible to accurately
simulate realistic models. Numerical examples
show that this technique can achieve the same accurate
solutions with fewer grid points than those from previous
frequency-domain second-order schemes. Our technique
can be extended directly to 3-D elastic modeling;
the computational efficiency will be even greater than
that realized for 2-D models.
- ISSN
- 0016-8033
- Language
- English
- Files in This Item:
Item View & Download Count
Items in S-Space are protected by copyright, with all rights reserved, unless otherwise indicated.