An iterative fast sweeping based eikonal solver for tilted orthorhombic media

Handle URI:
http://hdl.handle.net/10754/333044
Title:
An iterative fast sweeping based eikonal solver for tilted orthorhombic media
Authors:
Waheed, Umair bin ( 0000-0002-5189-0694 ) ; Yarman, Can Evren; Flagg, Garret
Abstract:
Computing first-arrival traveltimes of quasi-P waves in the presence of anisotropy is important for high-end near-surface modeling, microseismic-source localization, and fractured-reservoir characterization, and requires solving an anisotropic eikonal equation. Anisotropy deviating from elliptical anisotropy introduces higher-order nonlinearity into the eikonal equation, which makes solving the eikonal equation a challenge. We address this challenge by iteratively solving a sequence of simpler tilted elliptically anisotropic eikonal equations. At each iteration, the source function is updated to capture the effects of the higher order nonlinear terms. We use Aitken extrapolation to speed up the convergence rate of the iterative algorithm. The result is an algorithm for first-arrival traveltime computations in tilted anisotropic media. We demonstrate our method on tilted transversely isotropic media and tilted orthorhombic media. Our numerical tests demonstrate that the proposed method can match the first arrivals obtained by wavefield extrapolation, even for strong anisotropy and complex structures. Therefore, for the cases where oneor two-point ray tracing fails, our method may be a potential substitute for computing traveltimes. Our approach can be extended to anisotropic media with lower symmetries, such as monoclinic or even triclinic media.
KAUST Department:
King Abdullah University of Science and Technology
Publisher:
Society of Exploration Geophysicists
Journal:
SEG Technical Program Expanded Abstracts 2014
Conference/Event name:
SEG Technical Program Expanded Abstracts 2014
Issue Date:
Aug-2014
DOI:
10.1190/segam2014-0846.1
Type:
Conference Paper
ISSN:
1949-4645
Appears in Collections:
Conference Papers

Full metadata record

DC FieldValue Language
dc.contributor.authorWaheed, Umair binen
dc.contributor.authorYarman, Can Evrenen
dc.contributor.authorFlagg, Garreten
dc.date.accessioned2014-10-21T21:08:58Zen
dc.date.available2014-10-21T21:08:58Zen
dc.date.issued2014-08en
dc.identifier.issn1949-4645en
dc.identifier.doi10.1190/segam2014-0846.1en
dc.identifier.urihttp://hdl.handle.net/10754/333044en
dc.description.abstractComputing first-arrival traveltimes of quasi-P waves in the presence of anisotropy is important for high-end near-surface modeling, microseismic-source localization, and fractured-reservoir characterization, and requires solving an anisotropic eikonal equation. Anisotropy deviating from elliptical anisotropy introduces higher-order nonlinearity into the eikonal equation, which makes solving the eikonal equation a challenge. We address this challenge by iteratively solving a sequence of simpler tilted elliptically anisotropic eikonal equations. At each iteration, the source function is updated to capture the effects of the higher order nonlinear terms. We use Aitken extrapolation to speed up the convergence rate of the iterative algorithm. The result is an algorithm for first-arrival traveltime computations in tilted anisotropic media. We demonstrate our method on tilted transversely isotropic media and tilted orthorhombic media. Our numerical tests demonstrate that the proposed method can match the first arrivals obtained by wavefield extrapolation, even for strong anisotropy and complex structures. Therefore, for the cases where oneor two-point ray tracing fails, our method may be a potential substitute for computing traveltimes. Our approach can be extended to anisotropic media with lower symmetries, such as monoclinic or even triclinic media.en
dc.language.isoenen
dc.publisherSociety of Exploration Geophysicistsen
dc.titleAn iterative fast sweeping based eikonal solver for tilted orthorhombic mediaen
dc.typeConference Paperen
dc.contributor.departmentKing Abdullah University of Science and Technologyen
dc.identifier.journalSEG Technical Program Expanded Abstracts 2014en
dc.conference.nameSEG Technical Program Expanded Abstracts 2014en
dc.eprint.versionpublisher versionen
kaust.authorWaheed, Umair binen
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