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    Efficient Traveltime Solutions of the TI Acoustic Eikonal Equation

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    Type
    Conference Paper
    Authors
    Waheed, Umair bin cc
    Alkhalifah, Tariq Ali cc
    KAUST Department
    Earth Science and Engineering Program
    KAUST Solar Center (KSC)
    Physical Science and Engineering (PSE) Division
    Seismic Wave Analysis Group
    Date
    2013-05-31
    Online Publication Date
    2013-05-31
    Print Publication Date
    2013
    Permanent link to this record
    http://hdl.handle.net/10754/333062
    
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    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.
    Citation
    Waheed, U., & Alkhalifah, T. (2013). Efficient Traveltime Solutions of the TI Acoustic Eikonal Equation. London 2013, 75th Eage Conference En Exhibition Incorporating SPE Europec. doi:10.3997/2214-4609.20130058
    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
    DOI
    10.3997/2214-4609.20130058
    ae974a485f413a2113503eed53cd6c53
    10.3997/2214-4609.20130058
    Scopus Count
    Collections
    Conference Papers; Physical Science and Engineering (PSE) Division; Earth Science and Engineering Program; KAUST Solar Center (KSC)

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