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Improved frequency-domain elastic wave modeling using weighted-averaging difference operators

Cited 49 time in Web of Science Cited 76 time in Scopus
Authors
Min, Dong-Joo; Shin, Changsoo; Kwon, Byung-Doo; Seunghwan, Chung
Issue Date
2000
Publisher
Society of Exploration Geophysicists (SEG)
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
URI
https://hdl.handle.net/10371/6115
DOI
https://doi.org/10.1190/1.1444785
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College of Engineering/Engineering Practice School (공과대학/대학원)Dept. of Energy Systems Engineering (에너지시스템공학부)Journal Papers (저널논문_에너지시스템공학부)
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