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    A tilted transversely isotropic slowness surface approximation

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    Type
    Article
    Authors
    Stovas, A.
    Alkhalifah, Tariq Ali cc
    KAUST Department
    Earth Science and Engineering Program
    Environmental Science and Engineering Program
    Physical Science and Engineering (PSE) Division
    Seismic Wave Analysis Group
    Date
    2012-05-09
    Online Publication Date
    2012-05-09
    Print Publication Date
    2013-05
    Permanent link to this record
    http://hdl.handle.net/10754/562186
    
    Metadata
    Show full item record
    Abstract
    The relation between vertical and horizontal slownesses, better known as the dispersion relation, for transversely isotropic media with a tilted symmetry axis (TTI) requires solving a quartic polynomial equation, which does not admit a practical explicit solution to be used, for example, in downward continuation. Using a combination of the perturbation theory with respect to the anelliptic parameter and Shanks transform to improve the accuracy of the expansion, we develop an explicit formula for the vertical slowness that is highly accurate for all practical purposes. It also reveals some insights into the anisotropy parameter dependency of the dispersion relation including the low impact that the anelliptic parameter has on the vertical placement of reflectors for a small tilt in the symmetry angle. © 2012 European Association of Geoscientists & Engineers.
    Citation
    Stovas, A., & Alkhalifah, T. (2012). A tilted transversely isotropic slowness surface approximation. Geophysical Prospecting, 61(3), 568–573. doi:10.1111/j.1365-2478.2012.01078.x
    Sponsors
    Alexey Stovas would like to acknowledge the ROSE project for financial support. Tariq Alkhalifah would like to thank KAUST for its financial support. We would also like to acknowledge Ivan Psencik and anonymous reviewers for very instructive comments.
    Publisher
    Wiley
    Journal
    Geophysical Prospecting
    DOI
    10.1111/j.1365-2478.2012.01078.x
    ae974a485f413a2113503eed53cd6c53
    10.1111/j.1365-2478.2012.01078.x
    Scopus Count
    Collections
    Articles; Environmental Science and Engineering Program; Physical Science and Engineering (PSE) Division; Earth Science and Engineering Program

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