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    Stereo optimal transport of the matching filter

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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/10754/661897
    
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    Abstract
    A recently introduced optimal transport of the matching filter (OTMF) provided us with a robust misfit function for reducing cycle skipping in Full-Waveform Inversion (FWI). Unlike the conventional L2-norm approach, OTMF computes a matching filter first by deconvolution of the predicted data with the measured ones and constructs the misfit function by measuring the Wasserstein distance W2 between the resulting preconditioned matching filter and the target, i.e., the Dirac delta function. Compared to the conventional application of the optimal transport (OT) misfit in the data domain directly, OTMF applies the OT to the resulting matching filter avoiding the modification of the amplitude or the phase of the original seismic data. Measuring the distance between the resulting matching filter and a Dirac delta function using Wasserstein metric W2 suggests a convex misfit function with respect to the time shifted signal. We propose a misfit function by stereo optimal transport of the matching filter (SOTMF), which takes the space coherency of the resulting matching filter into consideration. Compared to OTMF, SOTMF has an extra regularization term, which controls the variations of the resulting matching filter along the space (offset) axis, and the regularization term is formulated by Wasserstein distance between the matching filters of the nearby traces. Thus, in the framework of OT, SOTMF tries to focus the resulting matching filter to be a Dirac delta function in time and enhance its space coherency as well. We use the Marmousi example to show that SOTMF can reduce the cycle-skipping, and at the same time its result shows less artifacts than OTMF. A result using an anisotropic version of SOTMF waveform inversion on a real dataset also demonstrates the good performance of the approach.
    Citation
    Sun, B., & Alkhalifah, T. (2019). Stereo optimal transport of the matching filter. SEG Technical Program Expanded Abstracts 2019. doi:10.1190/segam2019-3199662.1
    Sponsors
    We thank the members of SWAG group for useful discussions and the Shaheen super computing laboratory for the computational recourses. We acknowledge CGG for providing the offshore Australia real dataset.
    Publisher
    Society of Exploration Geophysicists
    Conference/Event name
    Society of Exploration Geophysicists International Exposition and Annual Meeting 2019, SEG 2019
    DOI
    10.1190/segam2019-3199662.1
    Additional Links
    https://library.seg.org/doi/10.1190/segam2019-3199662.1
    ae974a485f413a2113503eed53cd6c53
    10.1190/segam2019-3199662.1
    Scopus Count
    Collections
    Conference Papers; Physical Science and Engineering (PSE) Division; Earth Science and Engineering Program

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