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    Normal modes in orthorhombic media

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    Type
    Article
    Authors
    Ivanov, Yuriy
    Stovas, Alexey
    Kazei, Vladimir cc
    KAUST Department
    Physical Science and Engineering (PSE) Division
    Date
    2018-12-22
    Online Publication Date
    2018-12-22
    Print Publication Date
    2019-03-01
    Permanent link to this record
    http://hdl.handle.net/10754/656487
    
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    Abstract
    Guided waves in a water layer overlaying an elastic half-space are known as normal modes. They are often present in seismic recordings at long offsets in shallow-water environment and generally considered coherent noise. The normal modes, however, carry important information about the near-surface and, as demonstrated by a number of authors, can be used to obtain the shallow velocity model. There is a growing evidence that the latter needs not to be isotropic due to various geological reasons. Motivated by that, we consider the normal-mode propagation in case the elastic half-space exhibits orthorhombic anisotropy. We derive the period equation that describes the normal-mode phase velocity dispersion. To simplify the complicated expression, we present acoustic and ellipsoidal orthorhombic approximations. We also outline the approach towards the group velocity and group azimuth calculation and apply it to the ellipsoidal case to obtain concise and intuitive expressions. Using numerical test, we study the relation between phase and group domains in elastic orthorhombic case. The deviation between velocities and azimuths in these domains is the strongest for low frequencies and it rapidly decreases with increasing frequency. For higher frequencies, the anisotropy effects of the underlaying half-space are barely detectable since the observed signal is composed mainly of the direct acoustic wave, resulting in the two domains being nearly indistinguishable.
    Citation
    Ivanov, Y., Stovas, A., & Kazei, V. (2018). Normal modes in orthorhombic media. Geophysical Journal International, 216(3), 1785–1797. doi:10.1093/gji/ggy534
    Sponsors
    Authors are grateful to the Editor Herve Chauris, and two reviewers, Zvi Koren and one anonymous. Their critical comments helped to improve the manuscript considerably. YI and AS acknowledge the Petromaks2 project for financial support, VK acknowledges KAUST for support.
    Publisher
    Oxford University Press
    Journal
    Geophysical Journal International
    DOI
    10.1093/gji/ggy534
    Additional Links
    https://academic.oup.com/gji/article/216/3/1785/5257844
    ae974a485f413a2113503eed53cd6c53
    10.1093/gji/ggy534
    Scopus Count
    Collections
    Articles; Physical Science and Engineering (PSE) Division

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