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

Cited 26 time in WEB OF SCIENCE Cited 34 time in Scopus
Title
Efficient calculation of the steepest descent direction for source-independent seismic waveform inversion: An amplitude approach
Author(s)
Choi, YS; Shin, C; Min, DJ; Ha, T
Publication Year
2005-09-20
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. (c) 2005 Elsevier Inc. All rights reserved.
ISSN
0021-9991
URI
https://sciwatch.kiost.ac.kr/handle/2020.kiost/5024
DOI
10.1016/j.jcp.2004.09.019
Bibliographic Citation
JOURNAL OF COMPUTATIONAL PHYSICS, v.208, no.2, pp.455 - 468, 2005
Publisher
ACADEMIC PRESS INC ELSEVIER SCIENCE
Subject
EQUATION TRAVEL-TIME; NONLINEAR INVERSION; FREQUENCY-DOMAIN; REFLECTION DATA; TERMS
Keywords
waveform inversion; source-independent objective function; steepest descent direction; local optimization; Jacobian
Type
Article
Language
English
Document Type
Article
Publisher
ACADEMIC PRESS INC ELSEVIER SCIENCE
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