SHERP

Efficient calculation of the steepest descent direction for source-independent seismic waveform inversion: An amplitude approach

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Authors
Choi, Yunseok; Shin, Changsoo; Min, Dong-Joo; Ha, Taeyoung
Issue Date
2005-05-11
Publisher
Elsevier
Citation
Journal of Computational Physics 208 (2005) 455-468
Keywords
Waveform inversionSource-independent objective functionSteepest descent directionLocal optimizationJacobian
Abstract
In seismic waveform inversion, if we have no information on source signature, we need to invert seismic data and
source signature either simultaneously or successively. In order to avoid the iterative update of the source signature in
waveform inversion based on classical, local optimization techniques, we propose two source-independent objective
functions using amplitude spectra of Fourier-transformed wavefields. One is constructed by normalizing the amplitude
spectra of observed data and modeled data with respect to the respective reference amplitudes. The other is achieved by
cross-multiplying the amplitude spectra of observed data and modeled data with the respective reference amplitudes. In
the computation of the steepest descent direction, we circumvent explicitly computing the Jacobian by employing a
matrix formalism of the wave equation in the frequency domain. Through numerical examples for the Marmousi
model, we demonstrate that our inversion algorithms can reproduce the subsurface velocity structure without estimating
source signature.
ISSN
0021-9991
Language
English
URI
http://hdl.handle.net/10371/6120
DOI
https://doi.org/10.1016/j.jcp.2004.09.019
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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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