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    Inversion gradients for acoustic VTI wavefield tomography

    Access Status
    Fulltext not available
    Authors
    Li, V.
    Wang, Hui
    Tsvankin, Ilya
    Díaz, E.
    Alkhalifah, T.
    Date
    2017
    Type
    Journal Article
    
    Metadata
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    Citation
    Li, V. and Wang, H. and Tsvankin, I. and Díaz, E. and Alkhalifah, T. 2017. Inversion gradients for acoustic VTI wavefield tomography. Geophysics. 82 (4): pp. WA55-WA65.
    Source Title
    Geophysics
    DOI
    10.1190/GEO2016-0624.1
    ISSN
    0016-8033
    URI
    http://hdl.handle.net/20.500.11937/71525
    Collection
    • Curtin Research Publications
    Abstract

    © 2017 Society of Exploration Geophysicists. All rights reserved. Wavefield tomography can handle complex subsurface geology better than ray-based techniques and, ultimately, provide a higher resolution. Here, we implement forward and adjoint wavefield extrapolation for VTI (transversely isotropic with a vertical symmetry axis) media using a generalized pseudospectral operator based on a separable approximation for the P-wave dispersion relation. This operator is employed to derive the gradients of the differential semblance optimization (DSO) and modified image-power objective functions. We also obtain the gradient expressions for a data-domain objective function that can more easily incorporate borehole information necessary for stable VTI velocity analysis. These gradients are similar to the ones obtained with a space-time finite-difference (FD) scheme for a system of coupled wave equations but the pseudospectral method is not hampered by the imprint of the shear-wave artifact. Numerical examples also show the potential advantages of the modified image-power objective function in estimating the anellipticity parameter ?.

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