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    First-arrival traveltime tomography for anisotropic media using the adjoint-state method

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    geo2015-04632E1.pdf
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    Type
    Article
    Authors
    Waheed, Umair bin cc
    Flagg, Garret
    Yarman, Can Evren
    KAUST Department
    KAUST Solar Center (KSC)
    Physical Science and Engineering (PSE) Division
    Date
    2016-05-27
    Online Publication Date
    2016-05-27
    Print Publication Date
    2016-07
    Permanent link to this record
    http://hdl.handle.net/10754/619773
    
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    Abstract
    Traveltime tomography using transmission data has been widely used for static corrections and for obtaining near-surface models for seismic depth imaging. More recently, it is also being used to build initial models for full-waveform inversion. The classic traveltime tomography approach based on ray tracing has difficulties in handling large data sets arising from current seismic acquisition surveys. Some of these difficulties can be addressed using the adjoint-state method, due to its low memory requirement and numerical efficiency. By coupling the gradient computation to nonlinear optimization, it avoids the need for explicit computation of the Fréchet derivative matrix. Furthermore, its cost is equivalent to twice the solution of the forward-modeling problem, irrespective of the size of the input data. The presence of anisotropy in the subsurface has been well established during the past few decades. The improved seismic images obtained by incorporating anisotropy into the seismic processing workflow justify the effort. However, previous literature on the adjoint-state method has only addressed the isotropic approximation of the subsurface. We have extended the adjoint-state technique for first-arrival traveltime tomography to vertical transversely isotropic (VTI) media. Because δ is weakly resolvable from surface seismic alone, we have developed the mathematical framework and procedure to invert for vNMO and η. Our numerical tests on the VTI SEAM model demonstrate the ability of the algorithm to invert for near-surface model parameters and reveal the accuracy achievable by the algorithm.
    Citation
    First-arrival traveltime tomography for anisotropic media using the adjoint-state method 2016, 81 (4):R147 GEOPHYSICS
    Sponsors
    We thank Schlumberger for financial support and permission to publish results. We are also grateful to X. Cheng, M. Woodward, J. Rickett, C. Chapman, and M. Williams for useful discussions. We extend gratitude to K. Innanen, J. Cao, A. Bona, and S. Charles for many useful suggestions that greatly helped in improving the quality of the paper.
    Publisher
    Society of Exploration Geophysicists
    Journal
    GEOPHYSICS
    DOI
    10.1190/geo2015-0463.1
    Additional Links
    http://library.seg.org/doi/10.1190/geo2015-0463.1
    ae974a485f413a2113503eed53cd6c53
    10.1190/geo2015-0463.1
    Scopus Count
    Collections
    Articles; Physical Science and Engineering (PSE) Division; KAUST Solar Center (KSC)

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