First-arrival traveltime tomography for anisotropic media using the adjoint-state method

Handle URI:
http://hdl.handle.net/10754/619773
Title:
First-arrival traveltime tomography for anisotropic media using the adjoint-state method
Authors:
Waheed, Umair bin ( 0000-0002-5189-0694 ) ; Flagg, Garret; Yarman, Can Evren
Abstract:
Traveltime tomography using transmission data has been widely used for static corrections and for obtaining near-surface models for seismic depth imaging. More recently, it is also being used to build initial models for full-waveform inversion. The classic traveltime tomography approach based on ray tracing has difficulties in handling large data sets arising from current seismic acquisition surveys. Some of these difficulties can be addressed using the adjoint-state method, due to its low memory requirement and numerical efficiency. By coupling the gradient computation to nonlinear optimization, it avoids the need for explicit computation of the Fréchet derivative matrix. Furthermore, its cost is equivalent to twice the solution of the forward-modeling problem, irrespective of the size of the input data. The presence of anisotropy in the subsurface has been well established during the past few decades. The improved seismic images obtained by incorporating anisotropy into the seismic processing workflow justify the effort. However, previous literature on the adjoint-state method has only addressed the isotropic approximation of the subsurface. We have extended the adjoint-state technique for first-arrival traveltime tomography to vertical transversely isotropic (VTI) media. Because δ is weakly resolvable from surface seismic alone, we have developed the mathematical framework and procedure to invert for vNMO and η. Our numerical tests on the VTI SEAM model demonstrate the ability of the algorithm to invert for near-surface model parameters and reveal the accuracy achievable by the algorithm.
KAUST Department:
Physical Sciences and Engineering (PSE) Division
Citation:
First-arrival traveltime tomography for anisotropic media using the adjoint-state method 2016, 81 (4):R147 GEOPHYSICS
Publisher:
Society of Exploration Geophysicists
Journal:
GEOPHYSICS
Issue Date:
27-May-2016
DOI:
10.1190/geo2015-0463.1
Type:
Article
ISSN:
0016-8033; 1942-2156
Sponsors:
We thank Schlumberger for financial support and permission to publish results. We are also grateful to X. Cheng, M. Woodward, J. Rickett, C. Chapman, and M. Williams for useful discussions. We extend gratitude to K. Innanen, J. Cao, A. Bona, and S. Charles for many useful suggestions that greatly helped in improving the quality of the paper.
Additional Links:
http://library.seg.org/doi/10.1190/geo2015-0463.1
Appears in Collections:
Articles

Full metadata record

DC FieldValue Language
dc.contributor.authorWaheed, Umair binen
dc.contributor.authorFlagg, Garreten
dc.contributor.authorYarman, Can Evrenen
dc.date.accessioned2016-09-04T08:32:29Z-
dc.date.available2016-09-04T08:32:29Z-
dc.date.issued2016-05-27-
dc.identifier.citationFirst-arrival traveltime tomography for anisotropic media using the adjoint-state method 2016, 81 (4):R147 GEOPHYSICSen
dc.identifier.issn0016-8033-
dc.identifier.issn1942-2156-
dc.identifier.doi10.1190/geo2015-0463.1-
dc.identifier.urihttp://hdl.handle.net/10754/619773-
dc.description.abstractTraveltime tomography using transmission data has been widely used for static corrections and for obtaining near-surface models for seismic depth imaging. More recently, it is also being used to build initial models for full-waveform inversion. The classic traveltime tomography approach based on ray tracing has difficulties in handling large data sets arising from current seismic acquisition surveys. Some of these difficulties can be addressed using the adjoint-state method, due to its low memory requirement and numerical efficiency. By coupling the gradient computation to nonlinear optimization, it avoids the need for explicit computation of the Fréchet derivative matrix. Furthermore, its cost is equivalent to twice the solution of the forward-modeling problem, irrespective of the size of the input data. The presence of anisotropy in the subsurface has been well established during the past few decades. The improved seismic images obtained by incorporating anisotropy into the seismic processing workflow justify the effort. However, previous literature on the adjoint-state method has only addressed the isotropic approximation of the subsurface. We have extended the adjoint-state technique for first-arrival traveltime tomography to vertical transversely isotropic (VTI) media. Because δ is weakly resolvable from surface seismic alone, we have developed the mathematical framework and procedure to invert for vNMO and η. Our numerical tests on the VTI SEAM model demonstrate the ability of the algorithm to invert for near-surface model parameters and reveal the accuracy achievable by the algorithm.en
dc.description.sponsorshipWe thank Schlumberger for financial support and permission to publish results. We are also grateful to X. Cheng, M. Woodward, J. Rickett, C. Chapman, and M. Williams for useful discussions. We extend gratitude to K. Innanen, J. Cao, A. Bona, and S. Charles for many useful suggestions that greatly helped in improving the quality of the paper.en
dc.language.isoenen
dc.publisherSociety of Exploration Geophysicistsen
dc.relation.urlhttp://library.seg.org/doi/10.1190/geo2015-0463.1en
dc.rightsArchived with thanks to GEOPHYSICSen
dc.subjectDiving waveen
dc.subjecttomographyen
dc.subjectanisotropyen
dc.subjectmulti-parameteren
dc.subjectVTIen
dc.titleFirst-arrival traveltime tomography for anisotropic media using the adjoint-state methoden
dc.typeArticleen
dc.contributor.departmentPhysical Sciences and Engineering (PSE) Divisionen
dc.identifier.journalGEOPHYSICSen
dc.eprint.versionPublisher's Version/PDFen
dc.contributor.institutionSchlumberger, Houston, Texas, USAen
dc.contributor.institutionSchlumberger Cambridge Research Center, Cambridge, UKen
dc.contributor.affiliationKing Abdullah University of Science and Technology (KAUST)en
kaust.authorWaheed, Umair binen
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