Frequency domain elastic full waveform inversion using the new pseudo-Hessian matrix: Elastic Marmousi-2 synthetic test

Title
Frequency domain elastic full waveform inversion using the new pseudo-Hessian matrix: Elastic Marmousi-2 synthetic test
Author(s)
Choi, Y.; Shin, C.; Min, D.-J.
Publication Year
2007-09-23
Abstract
For scaling of the gradient of misfit function, we develop a new pseudo-Hessian matrix constructed by combining amplitude field and pseudo-Hessian matrix. Since pseudo-Hessian matrix neglects the calculation of the zero-lag auto-correlation of impulse responses in the approximate Hessian matrix, the pseudo-Hessian matrix has a limitation to scale the gradient of misfit function compared to the approximate Hessian matrix. To validate the new pseudo-Hessian matrix, we perform frequency-domain elastic full waveform inversion using this Hessian matrix. By synthetic experiments, we show that the new pseudo-Hessian matrix can give better convergence to the true model than the old one does. Furthermore, since the amplitude fields are intrinsically obtained in forward modeling procedure, we do not have to pay any extra cost to compute the new pseudo-Hessian. We think that the new pseudo-Hessian matrix can be used as an alternative of the approximate Hessian matrix of the Gauss-Newton method. © 2007 Society of Exploration Geophysicists. All rights reserved.
ISSN
0000-0000
URI
https://sciwatch.kiost.ac.kr/handle/2020.kiost/30353
Bibliographic Citation
77th Society of Exploration Geophysicists International Exposition and Annual Meeting, pp.1908 - 1912, 2007
Publisher
Society of Exploration Geophysicists
Type
Conference
Language
English
Publisher
Society of Exploration Geophysicists
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