Frequency-domain waveform inversion using the unwrapped phase

Handle URI:
http://hdl.handle.net/10754/561687
Title:
Frequency-domain waveform inversion using the unwrapped phase
Authors:
Choi, Yun Seok; Alkhalifah, Tariq Ali ( 0000-0002-9363-9799 )
Abstract:
Phase wrapping in the frequency-domain (or cycle skipping in the time-domain) is the major cause of the local minima problem in the waveform inversion. The unwrapped phase has the potential to provide us with a robust and reliable waveform inversion, with reduced local minima. We propose a waveform inversion algorithm using the unwrapped phase objective function in the frequency-domain. The unwrapped phase, or what we call the instantaneous traveltime, is given by the imaginary part of dividing the derivative of the wavefield with respect to the angular frequency by the wavefield itself. As a result, the objective function is given a traveltime-like function, which allows us to smooth it and reduce its nonlinearity. The gradient of the objective function is computed using the back-propagation algorithm based on the adjoint-state technique. We apply both our waveform inversion algorithm using the unwrapped phase and the conventional waveform inversion and show that our inversion algorithm gives better convergence to the true model than the conventional waveform inversion. © 2011 Society of Exploration Geophysicists.
KAUST Department:
Physical Sciences and Engineering (PSE) Division; Earth Science and Engineering Program; Environmental Science and Engineering Program
Publisher:
Society of Exploration Geophysicists
Journal:
SEG Technical Program Expanded Abstracts 2011
Issue Date:
Jan-2011
DOI:
10.1190/1.3627727
Type:
Article
ISSN:
10523812
Appears in Collections:
Articles; Environmental Science and Engineering Program; Physical Sciences and Engineering (PSE) Division; Earth Science and Engineering Program

Full metadata record

DC FieldValue Language
dc.contributor.authorChoi, Yun Seoken
dc.contributor.authorAlkhalifah, Tariq Alien
dc.date.accessioned2015-08-03T09:02:18Zen
dc.date.available2015-08-03T09:02:18Zen
dc.date.issued2011-01en
dc.identifier.issn10523812en
dc.identifier.doi10.1190/1.3627727en
dc.identifier.urihttp://hdl.handle.net/10754/561687en
dc.description.abstractPhase wrapping in the frequency-domain (or cycle skipping in the time-domain) is the major cause of the local minima problem in the waveform inversion. The unwrapped phase has the potential to provide us with a robust and reliable waveform inversion, with reduced local minima. We propose a waveform inversion algorithm using the unwrapped phase objective function in the frequency-domain. The unwrapped phase, or what we call the instantaneous traveltime, is given by the imaginary part of dividing the derivative of the wavefield with respect to the angular frequency by the wavefield itself. As a result, the objective function is given a traveltime-like function, which allows us to smooth it and reduce its nonlinearity. The gradient of the objective function is computed using the back-propagation algorithm based on the adjoint-state technique. We apply both our waveform inversion algorithm using the unwrapped phase and the conventional waveform inversion and show that our inversion algorithm gives better convergence to the true model than the conventional waveform inversion. © 2011 Society of Exploration Geophysicists.en
dc.publisherSociety of Exploration Geophysicistsen
dc.subjectFrequency-domainen
dc.subjectFull waveform inversionen
dc.subjectOptimizationen
dc.subjectPhaseen
dc.subjectTraveltimeen
dc.titleFrequency-domain waveform inversion using the unwrapped phaseen
dc.typeArticleen
dc.contributor.departmentPhysical Sciences and Engineering (PSE) Divisionen
dc.contributor.departmentEarth Science and Engineering Programen
dc.contributor.departmentEnvironmental Science and Engineering Programen
dc.identifier.journalSEG Technical Program Expanded Abstracts 2011en
kaust.authorChoi, Yun Seoken
kaust.authorAlkhalifah, Tariq Alien
All Items in KAUST are protected by copyright, with all rights reserved, unless otherwise indicated.