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    Full Waveform Inversion Using Nonlinearly Smoothed Wavefields

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    Type
    Conference Paper
    Authors
    Li, Y.
    Choi, Yun Seok
    Alkhalifah, Tariq Ali cc
    Li, Z.
    KAUST Department
    Earth Science and Engineering Program
    Physical Science and Engineering (PSE) Division
    Seismic Wave Analysis Group
    Date
    2017-05-26
    Online Publication Date
    2017-05-26
    Print Publication Date
    2017-06-12
    Permanent link to this record
    http://hdl.handle.net/10754/624987
    
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    Abstract
    The lack of low frequency information in the acquired data makes full waveform inversion (FWI) conditionally converge to the accurate solution. An initial velocity model that results in data with events within a half cycle of their location in the observed data was required to converge. The multiplication of wavefields with slightly different frequencies generates artificial low frequency components. This can be effectively utilized by multiplying the wavefield with itself, which is nonlinear operation, followed by a smoothing operator to extract the artificially produced low frequency information. We construct the objective function using the nonlinearly smoothed wavefields with a global-correlation norm to properly handle the energy imbalance in the nonlinearly smoothed wavefield. Similar to the multi-scale strategy, we progressively reduce the smoothing width applied to the multiplied wavefield to welcome higher resolution. We calculate the gradient of the objective function using the adjoint-state technique, which is similar to the conventional FWI except for the adjoint source. Examples on the Marmousi 2 model demonstrate the feasibility of the proposed FWI method to mitigate the cycle-skipping problem in the case of a lack of low frequency information.
    Citation
    Li Y, Choi Y, Alkhalifah T, Li Z (2017) Full Waveform Inversion Using Nonlinearly Smoothed Wavefields. 79th EAGE Conference and Exhibition 2017. Available: http://dx.doi.org/10.3997/2214-4609.201701342.
    Sponsors
    We thank KAUST for its support and the SWAG for collaborative environment. Author Yuanyuan Li wishes to thank the China Scholarship Council for support to study abroad.
    Publisher
    EAGE Publications
    Journal
    79th EAGE Conference and Exhibition 2017
    DOI
    10.3997/2214-4609.201701342
    Additional Links
    http://www.earthdoc.org/publication/publicationdetails/?publication=89057
    ae974a485f413a2113503eed53cd6c53
    10.3997/2214-4609.201701342
    Scopus Count
    Collections
    Conference Papers; Physical Science and Engineering (PSE) Division; Earth Science and Engineering Program

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