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    Adaptive traveltime inversion with information entropy regularization

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    entropy.pdf
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    Type
    Conference Paper
    Authors
    Sun, Bingbing
    Alkhalifah, Tariq Ali cc
    KAUST Department
    Earth Science and Engineering Program
    Physical Science and Engineering (PSE) Division
    Seismic Wave Analysis Group
    Date
    2019-08-10
    Permanent link to this record
    http://hdl.handle.net/10754/661896
    
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    Abstract
    A recently introduced Adaptive Traveltime Inversion (ATI) provided us with a robust misfit function for reducing cycle skipping in Full-Waveform Inversion (FWI). Unlike the conventional L2-norm approach, ATI computes a matching filter first by deconvolution of the predicted data with the measured ones. If the velocity model is relatively accurate, the resulting matching filter is close to a Dirac delta function. Its traveltime shift, which characterizes the defocusing of the matching filter, is computed by minimization of the cross-correlation between a penalty function like t2 and the matching filter. ATI is constructed by minimization of the least square errors of the calculated traveltime shifts. It has been shown that the resulting traveltime shift corresponds to a first-order moment, which corresponds to the mean value of the resulting matching filter distribution. In order to accelerate the convergence and improve the robustness of the ATI approach, in this abstract, we propose to constraint the variance of the resulting matching filter using an information entropy function. We further demonstrate that, in comparison to AWI which tries to minimize the sum of the mean and the vairance of the resulting matching filter, the misfit of ATI with entropy minimizes the sum of the mean and the logarithm of the variance instead. We use the Marmousi example and an offshore field dataset to demonstrate the effectiveness of the proposed method.
    Citation
    Sun, B., & Alkhalifah, T. (2019). Adaptive traveltime inversion with information entropy regularization. SEG Technical Program Expanded Abstracts 2019. doi:10.1190/segam2019-3215307.1
    Sponsors
    We thank the members of SWAG group for useful discussions.
    Publisher
    Society of Exploration Geophysicists
    Conference/Event name
    Society of Exploration Geophysicists International Exposition and Annual Meeting 2019, SEG 2019
    DOI
    10.1190/segam2019-3215307.1
    Additional Links
    https://library.seg.org/doi/10.1190/segam2019-3215307.1
    ae974a485f413a2113503eed53cd6c53
    10.1190/segam2019-3215307.1
    Scopus Count
    Collections
    Conference Papers; Physical Science and Engineering (PSE) Division; Earth Science and Engineering Program

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