### 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 language | English |
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Title of host publication | 79th Society of Exploration Geophysicists International Exposition and Annual Meeting 2009, SEG 2009 |

Publisher | Society of Exploration Geophysicists |

Pages | 2357-2361 |

Number of pages | 5 |

ISBN (Print) | 9781615675661 |

Publication status | Published - Jan 1 2009 |

Event | 79th Society of Exploration Geophysicists International Exposition and Annual Meeting 2009, SEG 2009 - Houston, United States Duration: Oct 25 2009 → Oct 30 2009 |

### Other

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

Country | United States |

City | Houston |

Period | 10/25/09 → 10/30/09 |

### Fingerprint

### ASJC Scopus subject areas

- Geophysics

### Cite this

*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.

Research output: Chapter in Book/Report/Conference proceeding › Conference contribution

*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.

}

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

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 -