Seismic waveform inversion with Gauss-Newton-Krylov method

Yogi Erlangga Ahmad, Felix J. Herrmann

Research output: Chapter in Book/Report/Conference proceedingConference contribution

2 Citations (Scopus)

Abstract

This abstract discusses an implicit implementation of the Gauss-Newton method, used for the frequency-domain full-waveform inversion, where the inverse of the Hessian for the update is never formed explicitly. Instead, the inverse of the Hessian is computed approximately by a conjugate gradient (CG) method, which only requires the action of the Hessian on the CG search direction. This procedure avoids an excessive computer storage, usually needed for storing the Hessian, at the expense of extra computational work in CG. An effective preconditioner for the Hessian is important to improve the convergence of CG, and hence to reduce the overall computational work.

Original languageEnglish
Title of host publication79th Society of Exploration Geophysicists International Exposition and Annual Meeting 2009, SEG 2009
PublisherSociety of Exploration Geophysicists
Pages2357-2361
Number of pages5
ISBN (Print)9781615675661
Publication statusPublished - Jan 1 2009
Event79th Society of Exploration Geophysicists International Exposition and Annual Meeting 2009, SEG 2009 - Houston, United States
Duration: Oct 25 2009Oct 30 2009

Other

Other79th Society of Exploration Geophysicists International Exposition and Annual Meeting 2009, SEG 2009
CountryUnited States
CityHouston
Period10/25/0910/30/09

Fingerprint

Newton methods
waveforms
inversions
gradients
conjugate gradient method
inversion
method

ASJC Scopus subject areas

  • Geophysics

Cite this

Erlangga Ahmad, Y., & Herrmann, F. J. (2009). Seismic waveform inversion with Gauss-Newton-Krylov method. In 79th Society of Exploration Geophysicists International Exposition and Annual Meeting 2009, SEG 2009 (pp. 2357-2361). Society of Exploration Geophysicists.

Seismic waveform inversion with Gauss-Newton-Krylov method. / Erlangga Ahmad, Yogi; Herrmann, Felix J.

79th Society of Exploration Geophysicists International Exposition and Annual Meeting 2009, SEG 2009. Society of Exploration Geophysicists, 2009. p. 2357-2361.

Research output: Chapter in Book/Report/Conference proceedingConference contribution

Erlangga Ahmad, Y & Herrmann, FJ 2009, Seismic waveform inversion with Gauss-Newton-Krylov method. in 79th Society of Exploration Geophysicists International Exposition and Annual Meeting 2009, SEG 2009. Society of Exploration Geophysicists, pp. 2357-2361, 79th Society of Exploration Geophysicists International Exposition and Annual Meeting 2009, SEG 2009, Houston, United States, 10/25/09.
Erlangga Ahmad Y, Herrmann FJ. Seismic waveform inversion with Gauss-Newton-Krylov method. In 79th Society of Exploration Geophysicists International Exposition and Annual Meeting 2009, SEG 2009. Society of Exploration Geophysicists. 2009. p. 2357-2361
Erlangga Ahmad, Yogi ; Herrmann, Felix J. / Seismic waveform inversion with Gauss-Newton-Krylov method. 79th Society of Exploration Geophysicists International Exposition and Annual Meeting 2009, SEG 2009. Society of Exploration Geophysicists, 2009. pp. 2357-2361
@inproceedings{7d226043017844edbecb3c6bec055d90,
title = "Seismic waveform inversion with Gauss-Newton-Krylov method",
abstract = "This abstract discusses an implicit implementation of the Gauss-Newton method, used for the frequency-domain full-waveform inversion, where the inverse of the Hessian for the update is never formed explicitly. Instead, the inverse of the Hessian is computed approximately by a conjugate gradient (CG) method, which only requires the action of the Hessian on the CG search direction. This procedure avoids an excessive computer storage, usually needed for storing the Hessian, at the expense of extra computational work in CG. An effective preconditioner for the Hessian is important to improve the convergence of CG, and hence to reduce the overall computational work.",
author = "{Erlangga Ahmad}, Yogi and Herrmann, {Felix J.}",
year = "2009",
month = "1",
day = "1",
language = "English",
isbn = "9781615675661",
pages = "2357--2361",
booktitle = "79th Society of Exploration Geophysicists International Exposition and Annual Meeting 2009, SEG 2009",
publisher = "Society of Exploration Geophysicists",
address = "United States",

}

TY - GEN

T1 - Seismic waveform inversion with Gauss-Newton-Krylov method

AU - Erlangga Ahmad, Yogi

AU - Herrmann, Felix J.

PY - 2009/1/1

Y1 - 2009/1/1

N2 - This abstract discusses an implicit implementation of the Gauss-Newton method, used for the frequency-domain full-waveform inversion, where the inverse of the Hessian for the update is never formed explicitly. Instead, the inverse of the Hessian is computed approximately by a conjugate gradient (CG) method, which only requires the action of the Hessian on the CG search direction. This procedure avoids an excessive computer storage, usually needed for storing the Hessian, at the expense of extra computational work in CG. An effective preconditioner for the Hessian is important to improve the convergence of CG, and hence to reduce the overall computational work.

AB - This abstract discusses an implicit implementation of the Gauss-Newton method, used for the frequency-domain full-waveform inversion, where the inverse of the Hessian for the update is never formed explicitly. Instead, the inverse of the Hessian is computed approximately by a conjugate gradient (CG) method, which only requires the action of the Hessian on the CG search direction. This procedure avoids an excessive computer storage, usually needed for storing the Hessian, at the expense of extra computational work in CG. An effective preconditioner for the Hessian is important to improve the convergence of CG, and hence to reduce the overall computational work.

UR - http://www.scopus.com/inward/record.url?scp=85055524524&partnerID=8YFLogxK

UR - http://www.scopus.com/inward/citedby.url?scp=85055524524&partnerID=8YFLogxK

M3 - Conference contribution

AN - SCOPUS:85055524524

SN - 9781615675661

SP - 2357

EP - 2361

BT - 79th Society of Exploration Geophysicists International Exposition and Annual Meeting 2009, SEG 2009

PB - Society of Exploration Geophysicists

ER -