Frequency-domain waveform inversion using the phase derivative

Handle URI:
http://hdl.handle.net/10754/554370
Title:
Frequency-domain waveform inversion using the phase derivative
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 when the starting model is far from the true model. Since the phase derivative does not suffer from the wrapping effect, its inversion has the potential of providing a robust and reliable inversion result. We propose a new waveform inversion algorithm using the phase derivative in the frequency domain along with the exponential damping term to attenuate reflections. We estimate the phase derivative, or what we refer to as the instantaneous traveltime, by taking the derivative of the Fourier-transformed wavefield with respect to the angular frequency, dividing it by the wavefield itself and taking the imaginary part. The objective function is constructed using the phase derivative and the gradient of the objective function is computed using the back-propagation algorithm. Numerical examples show that our inversion algorithm with a strong damping generates a tomographic result even for a high ‘single’ frequency, which can be a good initial model for full waveform inversion and migration.
KAUST Department:
Physical Sciences and Engineering (PSE) Division
Citation:
Frequency-domain waveform inversion using the phase derivative 2013, 195 (3):1904 Geophysical Journal International
Publisher:
Oxford University Press (OUP)
Journal:
Geophysical Journal International
Issue Date:
26-Sep-2013
DOI:
10.1093/gji/ggt351
Type:
Article
ISSN:
0956-540X; 1365-246X
Additional Links:
http://gji.oxfordjournals.org/cgi/doi/10.1093/gji/ggt351
Appears in Collections:
Articles; Physical Sciences and Engineering (PSE) Division; Physical Sciences and Engineering (PSE) Division

Full metadata record

DC FieldValue Language
dc.contributor.authorChoi, Yun Seoken
dc.contributor.authorAlkhalifah, Tariq Alien
dc.date.accessioned2015-05-21T07:00:24Zen
dc.date.available2015-05-21T07:00:24Zen
dc.date.issued2013-09-26en
dc.identifier.citationFrequency-domain waveform inversion using the phase derivative 2013, 195 (3):1904 Geophysical Journal Internationalen
dc.identifier.issn0956-540Xen
dc.identifier.issn1365-246Xen
dc.identifier.doi10.1093/gji/ggt351en
dc.identifier.urihttp://hdl.handle.net/10754/554370en
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 when the starting model is far from the true model. Since the phase derivative does not suffer from the wrapping effect, its inversion has the potential of providing a robust and reliable inversion result. We propose a new waveform inversion algorithm using the phase derivative in the frequency domain along with the exponential damping term to attenuate reflections. We estimate the phase derivative, or what we refer to as the instantaneous traveltime, by taking the derivative of the Fourier-transformed wavefield with respect to the angular frequency, dividing it by the wavefield itself and taking the imaginary part. The objective function is constructed using the phase derivative and the gradient of the objective function is computed using the back-propagation algorithm. Numerical examples show that our inversion algorithm with a strong damping generates a tomographic result even for a high ‘single’ frequency, which can be a good initial model for full waveform inversion and migration.en
dc.publisherOxford University Press (OUP)en
dc.relation.urlhttp://gji.oxfordjournals.org/cgi/doi/10.1093/gji/ggt351en
dc.rightsArchived with thanks to Geophysical Journal International © The Authors 2013. Published by Oxford University Press on behalf of The Royal Astronomical Society.en
dc.subjectInverse theoryen
dc.subjectTheoretical seismologyen
dc.subjectWave propagationen
dc.titleFrequency-domain waveform inversion using the phase derivativeen
dc.typeArticleen
dc.contributor.departmentPhysical Sciences and Engineering (PSE) Divisionen
dc.identifier.journalGeophysical Journal Internationalen
dc.eprint.versionPublisher's Version/PDFen
kaust.authorChoi, Yun Seoken
kaust.authorAlkhalifah, Tariq Alien
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