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A frequency-space 2-D scalar wave extrapolator using extended 25-point finite-difference operator

Cited 74 time in Web of Science Cited 103 time in Scopus
Authors
Shin, Changsoo; Sohn, Heejeung
Issue Date
1998
Publisher
Society of Exploration Geophysicists (SEG)
Citation
Geophysics, 63, 289-296
Abstract
Finite-difference frequency-domain modeling for the
generation of synthetic seismograms and crosshole tomography
has been an active field of research since the
1980s. The generation of synthetic seismograms with the
time-domain finite-difference technique has achieved
considerable success for waveform crosshole tomography
and for wider applications in seismic reverse-time
migration. This became possible with the rapid development
of high performance computers. However, the
space-frequency (x; !) finite-difference modeling technique
is still beyond the capability of the modern supercomputer
in terms of both cost and computer memory.
Therefore, finite-difference time-domain modeling
is much more popular among exploration geophysicists.
A limitation of the space-frequency domain is that the
recently developed nine-point scheme still requires that
G, the number of grid points per wavelength, be 5. This
value is greater than for most other numerical modeling
techniques (for example, the pseudospectral scheme).To
overcome this disadvantage inherent in space-frequency
domain modeling, we propose a new weighted average
finite-difference operator by approximating the spatial
derivative and the mass acceleration term of the
wave equation. We use 25 grid points around the collocation.
In this way, we can reduce the number of
grid points so that G is now 2.5. This approaches the
Nyquist sampling limit in terms of the normalized phase
velocity.
ISSN
0016-8033
Language
English
URI
http://hdl.handle.net/10371/6112
DOI
https://doi.org/10.1190/1.1444323
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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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