Prestack first-break traveltime tomography using the double-square-root eikonal equation

Handle URI:
http://hdl.handle.net/10754/599396
Title:
Prestack first-break traveltime tomography using the double-square-root eikonal equation
Authors:
Li, Siwei; Fomel, Sergey; Vladimirsky, Alexander
Abstract:
Traveltime tomography with shot-based eikonal equation fixes shot positions then relies on inversion to resolve any contradicting information between independent shots and achieve a possible cost-function minimum. On the other hand, the double-square-root (DSR) eikonal equation that describes the whole survey, while providing the same first-arrival travel-times, allows not only the receivers but also the shots to change position and therefore leads to faster convergence in tomo-graphic inversion. The DSR eikonal equation can be solved by a version of the fast-marching method (FMM) with special treatment for its singularity at horizontally traveling waves. For inversion, we use an upwind finite-difference scheme and the adjoint-state method to avoid explicit calculation of Fréchet derivatives. The proposed method generalizes to the 3D case straightforwardly.
Citation:
Li S, Fomel S, Vladimirsky A (2012) Prestack first-break traveltime tomography using the double-square-root eikonal equation. SEG Technical Program Expanded Abstracts 2012. Available: http://dx.doi.org/10.1190/segam2012-0773.1.
Publisher:
Society of Exploration Geophysicists
Journal:
SEG Technical Program Expanded Abstracts 2012
Issue Date:
Sep-2012
DOI:
10.1190/segam2012-0773.1
Type:
Conference Paper
Sponsors:
The work was supported by Saudi Aramco and KAUST. Wethank Tariq Alkhalifah and Tim Keho for useful discussions.
Appears in Collections:
Publications Acknowledging KAUST Support

Full metadata record

DC FieldValue Language
dc.contributor.authorLi, Siweien
dc.contributor.authorFomel, Sergeyen
dc.contributor.authorVladimirsky, Alexanderen
dc.date.accessioned2016-02-28T05:50:20Zen
dc.date.available2016-02-28T05:50:20Zen
dc.date.issued2012-09en
dc.identifier.citationLi S, Fomel S, Vladimirsky A (2012) Prestack first-break traveltime tomography using the double-square-root eikonal equation. SEG Technical Program Expanded Abstracts 2012. Available: http://dx.doi.org/10.1190/segam2012-0773.1.en
dc.identifier.doi10.1190/segam2012-0773.1en
dc.identifier.urihttp://hdl.handle.net/10754/599396en
dc.description.abstractTraveltime tomography with shot-based eikonal equation fixes shot positions then relies on inversion to resolve any contradicting information between independent shots and achieve a possible cost-function minimum. On the other hand, the double-square-root (DSR) eikonal equation that describes the whole survey, while providing the same first-arrival travel-times, allows not only the receivers but also the shots to change position and therefore leads to faster convergence in tomo-graphic inversion. The DSR eikonal equation can be solved by a version of the fast-marching method (FMM) with special treatment for its singularity at horizontally traveling waves. For inversion, we use an upwind finite-difference scheme and the adjoint-state method to avoid explicit calculation of Fréchet derivatives. The proposed method generalizes to the 3D case straightforwardly.en
dc.description.sponsorshipThe work was supported by Saudi Aramco and KAUST. Wethank Tariq Alkhalifah and Tim Keho for useful discussions.en
dc.publisherSociety of Exploration Geophysicistsen
dc.titlePrestack first-break traveltime tomography using the double-square-root eikonal equationen
dc.typeConference Paperen
dc.identifier.journalSEG Technical Program Expanded Abstracts 2012en
dc.contributor.institutionThe University of Texas at Austinen
dc.contributor.institutionCornell Universityen
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