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

Yunseok Choi*, Changsoo Shin, Dong Joo Min

*Corresponding author for this work

Research output: Contribution to journalArticlepeer-review

8 Scopus citations

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.

Original languageEnglish (US)
Pages (from-to)1908-1912
Number of pages5
JournalSEG Technical Program Expanded Abstracts
Volume26
Issue number1
DOIs
StatePublished - Jan 2007
Externally publishedYes

ASJC Scopus subject areas

  • Geophysics
  • Geotechnical Engineering and Engineering Geology

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