Frequency-domain inversion using the amplitude of the derivative wavefield with respect to the angular frequency

Handle URI:
http://hdl.handle.net/10754/564512
Title:
Frequency-domain inversion using the amplitude of the derivative wavefield with respect to the angular frequency
Authors:
Choi, Yun Seok; Alkhalifah, Tariq Ali ( 0000-0002-9363-9799 )
Abstract:
The instantaneous traveltime based inversion was developed to solve the phase wrapping problem, thus generating long-wavelength structures even for a high single-frequency. However, it required aggressive damping to insure proper convergence. A reason for that is the potential for unstable division in the calculation of the instantaneous traveltime for low damping factors. Thus, we propose an inversion algorithm using the amplitude of the derivative wavefield to avoid the unstable division process. Since the amplitude of the derivative wavefield contains the unwrapped-phase information, its inversion has the potential to provide robust inversion results. On the other hand, the damping term rapidly diminishes the amplitude of the derivative wavefield at far source-receiver offsets. As an alternative, we suggest using the logarithmic amplitude of the derivative wavefield. The gradient of this inversion algorithm is obtained by the back-propagation approach, based on the adjoint-state technique. Numerical examples show that the logarithmic-amplitude approach yields better convergent results than the instantaneous traveltime inversion, whereas the pure-amplitude approach does not show much convergence.
KAUST Department:
Physical Sciences and Engineering (PSE) Division; Earth Science and Engineering Program; Environmental Science and Engineering Program
Publisher:
EAGE Publications
Journal:
74th EAGE Conference and Exhibition incorporating EUROPEC 2012
Conference/Event name:
74th European Association of Geoscientists and Engineers Conference and Exhibition 2012 Incorporating SPE EUROPEC 2012: Responsibly Securing Natural Resources
Issue Date:
2012
DOI:
10.3997/2214-4609.20148731
Type:
Conference Paper
ISBN:
9781629937908
Appears in Collections:
Conference Papers; 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.accessioned2015-08-04T07:02:52Zen
dc.date.available2015-08-04T07:02:52Zen
dc.date.issued2012en
dc.identifier.isbn9781629937908en
dc.identifier.doi10.3997/2214-4609.20148731en
dc.identifier.urihttp://hdl.handle.net/10754/564512en
dc.description.abstractThe instantaneous traveltime based inversion was developed to solve the phase wrapping problem, thus generating long-wavelength structures even for a high single-frequency. However, it required aggressive damping to insure proper convergence. A reason for that is the potential for unstable division in the calculation of the instantaneous traveltime for low damping factors. Thus, we propose an inversion algorithm using the amplitude of the derivative wavefield to avoid the unstable division process. Since the amplitude of the derivative wavefield contains the unwrapped-phase information, its inversion has the potential to provide robust inversion results. On the other hand, the damping term rapidly diminishes the amplitude of the derivative wavefield at far source-receiver offsets. As an alternative, we suggest using the logarithmic amplitude of the derivative wavefield. The gradient of this inversion algorithm is obtained by the back-propagation approach, based on the adjoint-state technique. Numerical examples show that the logarithmic-amplitude approach yields better convergent results than the instantaneous traveltime inversion, whereas the pure-amplitude approach does not show much convergence.en
dc.publisherEAGE Publicationsen
dc.titleFrequency-domain inversion using the amplitude of the derivative wavefield with respect to the angular frequencyen
dc.typeConference Paperen
dc.contributor.departmentPhysical Sciences and Engineering (PSE) Divisionen
dc.contributor.departmentEarth Science and Engineering Programen
dc.contributor.departmentEnvironmental Science and Engineering Programen
dc.identifier.journal74th EAGE Conference and Exhibition incorporating EUROPEC 2012en
dc.conference.date4 June 2012 through 7 June 2012en
dc.conference.name74th European Association of Geoscientists and Engineers Conference and Exhibition 2012 Incorporating SPE EUROPEC 2012: Responsibly Securing Natural Resourcesen
kaust.authorChoi, Yun Seoken
kaust.authorAlkhalifah, Tariq Alien
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