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    Inversion gradients for acoustic VTI wavefield tomography

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    geo2016-06242E1.pdf
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    Type
    Article
    Authors
    Li, Vladimir
    Wang, Hui
    Tsvankin, Ilya
    Díaz, Esteban
    Alkhalifah, Tariq Ali cc
    KAUST Department
    Earth Science and Engineering Program
    Physical Science and Engineering (PSE) Division
    Seismic Wave Analysis Group
    Date
    2017-06-07
    Online Publication Date
    2017-06-07
    Print Publication Date
    2017-07
    Permanent link to this record
    http://hdl.handle.net/10754/623093
    
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    Abstract
    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 η.
    Citation
    Li V, Wang H, Tsvankin I, Díaz E, Alkhalifah T (2017) Inversion gradients for acoustic VTI wavefield tomography. GEOPHYSICS: 1–72. Available: http://dx.doi.org/10.1190/geo2016-0624.1.
    Sponsors
    We thank Paul Fowler, Jorg Schleicher, and the A(nisotropy)- and i(maging)-Teams at CWP for fruitful discussions. We also thank associate editor Igor Ravve and reviewers Alexey Stovas, Jiubing Cheng, and Junzhe Sun for their helpful comments. This work was supported by the Consortium Project on Seismic Inverse Methods for Complex Structures at CWP and the competitive research funding from King Abdullah University of Science and Technology (KAUST). The reproducible numeric examples in this paper are generated with the Madagascar open-source software package (Fomel et al., 2013a) freely available from http://www.ahay.org.
    Publisher
    Society of Exploration Geophysicists
    Journal
    GEOPHYSICS
    DOI
    10.1190/geo2016-0624.1
    Additional Links
    http://library.seg.org/doi/10.1190/geo2016-0624.1
    ae974a485f413a2113503eed53cd6c53
    10.1190/geo2016-0624.1
    Scopus Count
    Collections
    Articles; Physical Science and Engineering (PSE) Division; Earth Science and Engineering Program

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