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    An iterative fast sweeping based eikonal solver for tilted orthorhombic media

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    Type
    Conference Paper
    Authors
    Waheed, Umair bin cc
    Yarman, Can Evren
    Flagg, Garret
    KAUST Department
    Earth Science and Engineering Program
    KAUST Solar Center (KSC)
    Physical Science and Engineering (PSE) Division
    Date
    2014-08-05
    Online Publication Date
    2014-08-05
    Print Publication Date
    2014-08-05
    Permanent link to this record
    http://hdl.handle.net/10754/333044
    
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    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.
    Citation
    Waheed*, U. bin, Yarman, C. E., & Flagg, G. (2014). An iterative fast sweeping based eikonal solver for tilted orthorhombic media. SEG Technical Program Expanded Abstracts 2014. doi:10.1190/segam2014-0846.1
    Publisher
    Society of Exploration Geophysicists
    Journal
    SEG Technical Program Expanded Abstracts 2014
    Conference/Event name
    SEG Technical Program Expanded Abstracts 2014
    DOI
    10.1190/segam2014-0846.1
    ae974a485f413a2113503eed53cd6c53
    10.1190/segam2014-0846.1
    Scopus Count
    Collections
    Conference Papers; Physical Science and Engineering (PSE) Division; Earth Science and Engineering Program; KAUST Solar Center (KSC)

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