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    Effective orthorhombic anisotropic models for wavefield extrapolation

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    Geophys. J. Int.-2014-Ibanez-Jacome-1653-61.pdf
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    Type
    Article
    Authors
    Ibanez Jacome, Wilson
    Alkhalifah, Tariq Ali cc
    Waheed, Umair bin cc
    KAUST Department
    Earth Science and Engineering Program
    KAUST Solar Center (KSC)
    Physical Science and Engineering (PSE) Division
    Seismic Wave Analysis Group
    Date
    2014-07-18
    Online Publication Date
    2014-07-18
    Print Publication Date
    2014-09-01
    Permanent link to this record
    http://hdl.handle.net/10754/346779
    
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    Abstract
    Wavefield extrapolation in orthorhombic anisotropic media incorporates complicated but realistic models to reproduce wave propagation phenomena in the Earth's subsurface. Compared with the representations used for simpler symmetries, such as transversely isotropic or isotropic, orthorhombic models require an extended and more elaborated formulation that also involves more expensive computational processes. The acoustic assumption yields more efficient description of the orthorhombic wave equation that also provides a simplified representation for the orthorhombic dispersion relation. However, such representation is hampered by the sixth-order nature of the acoustic wave equation, as it also encompasses the contribution of shear waves. To reduce the computational cost of wavefield extrapolation in such media, we generate effective isotropic inhomogeneous models that are capable of reproducing the firstarrival kinematic aspects of the orthorhombic wavefield. First, in order to compute traveltimes in vertical orthorhombic media, we develop a stable, efficient and accurate algorithm based on the fast marching method. The derived orthorhombic acoustic dispersion relation, unlike the isotropic or transversely isotropic ones, is represented by a sixth order polynomial equation with the fastest solution corresponding to outgoing P waves in acoustic media. The effective velocity models are then computed by evaluating the traveltime gradients of the orthorhombic traveltime solution, and using them to explicitly evaluate the corresponding inhomogeneous isotropic velocity field. The inverted effective velocity fields are source dependent and produce equivalent first-arrival kinematic descriptions of wave propagation in orthorhombic media. We extrapolate wavefields in these isotropic effective velocity models using the more efficient isotropic operator, and the results compare well, especially kinematically, with those obtained from the more expensive anisotropic extrapolator.
    Citation
    Effective orthorhombic anisotropic models for wavefield extrapolation 2014, 198 (3):1653 Geophysical Journal International
    Publisher
    Oxford University Press (OUP)
    Journal
    Geophysical Journal International
    DOI
    10.1093/gji/ggu229
    Additional Links
    http://gji.oxfordjournals.org/cgi/doi/10.1093/gji/ggu229
    ae974a485f413a2113503eed53cd6c53
    10.1093/gji/ggu229
    Scopus Count
    Collections
    Articles; Physical Science and Engineering (PSE) Division; Earth Science and Engineering Program; KAUST Solar Center (KSC)

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