Heeding the waveform inversion nonlinearity by unwrapping the model and data

Handle URI:
http://hdl.handle.net/10754/575759
Title:
Heeding the waveform inversion nonlinearity by unwrapping the model and data
Authors:
Alkhalifah, Tariq Ali ( 0000-0002-9363-9799 ) ; Choi, Yun Seok
Abstract:
Unlike traveltime inversion, waveform inversion provides relatively higher-resolution inverted models. This feature, however, comes at the cost of introducing complex nonlinearity to the inversion operator complicating the convergence process. We use unwrapped-phase-based objective functions to reduce such nonlinearity in a domain in which the high-frequency component is given by the traveltime inversion. Such information is packaged in a frequency-dependent attribute (or traveltime) that can be easily manipulated at different frequencies. It unwraps the phase of the wavefield yielding far less nonlinearity in the objective function than those experienced with the conventional misfit objective function, and yet it still holds most of the critical waveform information in its frequency dependency. However, it suffers from nonlinearity introduced by the model (or reflectivity), as events interact with each other (something like cross talk). This stems from the sinusoidal nature of the band-limited reflectivity model. Unwrapping the phase for such a model can mitigate this nonlinearity as well. Specifically, a simple modification to the inverted domain (or model), can reduce the effect of the model-induced nonlinearity and, thus, make the inversion more convergent. Simple examples are used to highlight such features.
KAUST Department:
Physical Sciences and Engineering (PSE) Division; Environmental Science and Engineering Program; Earth Science and Engineering Program
Publisher:
EAGE Publications
Journal:
74th EAGE Conference and Exhibition incorporating EUROPEC 2012
Conference/Event name:
74th EAGE Conference and Exhibition incorporating EUROPEC 2012
Issue Date:
2012
DOI:
10.3997/2214-4609.20148331
Type:
Conference Paper
ISBN:
9781629937908
Appears in Collections:
Conference Papers; Environmental Science and Engineering Program; Environmental Science and Engineering Program; Physical Sciences and Engineering (PSE) Division; Physical Sciences and Engineering (PSE) Division; Earth Science and Engineering Program; Earth Science and Engineering Program

Full metadata record

DC FieldValue Language
dc.contributor.authorAlkhalifah, Tariq Alien
dc.contributor.authorChoi, Yun Seoken
dc.date.accessioned2015-08-24T09:25:26Zen
dc.date.available2015-08-24T09:25:26Zen
dc.date.issued2012en
dc.identifier.isbn9781629937908en
dc.identifier.doi10.3997/2214-4609.20148331en
dc.identifier.urihttp://hdl.handle.net/10754/575759en
dc.description.abstractUnlike traveltime inversion, waveform inversion provides relatively higher-resolution inverted models. This feature, however, comes at the cost of introducing complex nonlinearity to the inversion operator complicating the convergence process. We use unwrapped-phase-based objective functions to reduce such nonlinearity in a domain in which the high-frequency component is given by the traveltime inversion. Such information is packaged in a frequency-dependent attribute (or traveltime) that can be easily manipulated at different frequencies. It unwraps the phase of the wavefield yielding far less nonlinearity in the objective function than those experienced with the conventional misfit objective function, and yet it still holds most of the critical waveform information in its frequency dependency. However, it suffers from nonlinearity introduced by the model (or reflectivity), as events interact with each other (something like cross talk). This stems from the sinusoidal nature of the band-limited reflectivity model. Unwrapping the phase for such a model can mitigate this nonlinearity as well. Specifically, a simple modification to the inverted domain (or model), can reduce the effect of the model-induced nonlinearity and, thus, make the inversion more convergent. Simple examples are used to highlight such features.en
dc.publisherEAGE Publicationsen
dc.titleHeeding the waveform inversion nonlinearity by unwrapping the model and dataen
dc.typeConference Paperen
dc.contributor.departmentPhysical Sciences and Engineering (PSE) Divisionen
dc.contributor.departmentEnvironmental Science and Engineering Programen
dc.contributor.departmentEarth Science and Engineering Programen
dc.identifier.journal74th EAGE Conference and Exhibition incorporating EUROPEC 2012en
dc.conference.date4-7 June 2012en
dc.conference.name74th EAGE Conference and Exhibition incorporating EUROPEC 2012en
dc.conference.locationCopenhagen, Denmarken
kaust.authorAlkhalifah, Tariq Alien
kaust.authorChoi, Yun Seoken
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