Efficient Traveltime Solutions of the TI Acoustic Eikonal Equation

Handle URI:
http://hdl.handle.net/10754/333062
Title:
Efficient Traveltime Solutions of the TI Acoustic Eikonal Equation
Authors:
Waheed, Umair bin ( 0000-0002-5189-0694 ) ; Alkhalifah, Tariq Ali ( 0000-0002-9363-9799 )
Abstract:
Numerical solutions of the eikonal (Hamilton-Jacobi) equation for transversely isotropic (TI) media are essential for integral imaging and traveltime tomography applications. Such solutions, however, suffer from the inherent higher-order nonlinearity of the TI eikonal equation, which requires solving a quartic polynomial at each computational step. Using perturbation theory, we approximate the first-order discretized form of the TI eikonal equation with a series of simpler equations for the coefficients of a polynomial expansion of the eikonal solution in terms of the anellipticity anisotropy parameter. Such perturbation, applied to the discretized form of the eikonal equation, does not impose any restrictions on the complexity of the perturbed parameter field. Therefore, it provides accurate traveltime solutions even for the anisotropic Marmousi model, with complex distribution of velocity and anellipticity anisotropy parameter. The formulation allows tremendous cost reduction compared to using the exact TI eikonal solver. Furthermore, comparative tests with previously developed approximations illustrate remarkable gain in accuracy of the proposed approximation, without any addition to the computational cost.
KAUST Department:
King Abdullah University of Science & Technology
Publisher:
EAGE Publications
Journal:
London 2013, 75th eage conference en exhibition incorporating SPE Europec
Conference/Event name:
75th EAGE Conference & Exhibition incorporating SPE EUROPEC 2013
Issue Date:
22-Oct-2014
DOI:
10.3997/2214-4609.20130058
Type:
Conference Paper
Appears in Collections:
Conference Papers

Full metadata record

DC FieldValue Language
dc.contributor.authorWaheed, Umair binen
dc.contributor.authorAlkhalifah, Tariq Alien
dc.date.accessioned2014-10-22T06:03:14Z-
dc.date.available2014-10-22T06:03:14Z-
dc.date.issued2014-10-22en
dc.identifier.doi10.3997/2214-4609.20130058en
dc.identifier.urihttp://hdl.handle.net/10754/333062en
dc.description.abstractNumerical solutions of the eikonal (Hamilton-Jacobi) equation for transversely isotropic (TI) media are essential for integral imaging and traveltime tomography applications. Such solutions, however, suffer from the inherent higher-order nonlinearity of the TI eikonal equation, which requires solving a quartic polynomial at each computational step. Using perturbation theory, we approximate the first-order discretized form of the TI eikonal equation with a series of simpler equations for the coefficients of a polynomial expansion of the eikonal solution in terms of the anellipticity anisotropy parameter. Such perturbation, applied to the discretized form of the eikonal equation, does not impose any restrictions on the complexity of the perturbed parameter field. Therefore, it provides accurate traveltime solutions even for the anisotropic Marmousi model, with complex distribution of velocity and anellipticity anisotropy parameter. The formulation allows tremendous cost reduction compared to using the exact TI eikonal solver. Furthermore, comparative tests with previously developed approximations illustrate remarkable gain in accuracy of the proposed approximation, without any addition to the computational cost.en
dc.language.isoenen
dc.publisherEAGE Publicationsen
dc.subjectanisotropic eikonal equationen
dc.subjecttraveltimesen
dc.titleEfficient Traveltime Solutions of the TI Acoustic Eikonal Equationen
dc.typeConference Paperen
dc.contributor.departmentKing Abdullah University of Science & Technologyen
dc.identifier.journalLondon 2013, 75th eage conference en exhibition incorporating SPE Europecen
dc.conference.date10 - 13 June 2013en
dc.conference.name75th EAGE Conference & Exhibition incorporating SPE EUROPEC 2013en
dc.conference.locationLondon, United Kingdomen
dc.eprint.versionPre-printen
kaust.authorWaheed, Umair binen
kaust.authorAlkhalifah, Tariq Alien
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