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    Frequency-domain inversion using the amplitude of the derivative wavefield with respect to the angular frequency

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    Type
    Conference Paper
    Authors
    Choi, Yun Seok
    Alkhalifah, Tariq Ali cc
    KAUST Department
    Earth Science and Engineering Program
    Environmental Science and Engineering Program
    Physical Science and Engineering (PSE) Division
    Seismic Wave Analysis Group
    Date
    2014-12-03
    Online Publication Date
    2014-12-03
    Print Publication Date
    2012-06-04
    Permanent link to this record
    http://hdl.handle.net/10754/564512
    
    Metadata
    Show full item record
    Abstract
    The instantaneous traveltime based inversion was developed to solve the phase wrapping problem, thus generating long-wavelength structures even for a high single-frequency. However, it required aggressive damping to insure proper convergence. A reason for that is the potential for unstable division in the calculation of the instantaneous traveltime for low damping factors. Thus, we propose an inversion algorithm using the amplitude of the derivative wavefield to avoid the unstable division process. Since the amplitude of the derivative wavefield contains the unwrapped-phase information, its inversion has the potential to provide robust inversion results. On the other hand, the damping term rapidly diminishes the amplitude of the derivative wavefield at far source-receiver offsets. As an alternative, we suggest using the logarithmic amplitude of the derivative wavefield. The gradient of this inversion algorithm is obtained by the back-propagation approach, based on the adjoint-state technique. Numerical examples show that the logarithmic-amplitude approach yields better convergent results than the instantaneous traveltime inversion, whereas the pure-amplitude approach does not show much convergence.
    Citation
    Choi, Y., & Alkhalifah, T. (2012). Frequency-domain Inversion Using the Amplitude of the Derivative Wavefield with Respect to the Angular Frequency. 74th EAGE Conference and Exhibition Incorporating EUROPEC 2012. doi:10.3997/2214-4609.20148731
    Publisher
    EAGE Publications
    Journal
    74th EAGE Conference and Exhibition incorporating EUROPEC 2012
    Conference/Event name
    74th European Association of Geoscientists and Engineers Conference and Exhibition 2012 Incorporating SPE EUROPEC 2012: Responsibly Securing Natural Resources
    ISBN
    9781629937908
    DOI
    10.3997/2214-4609.20148731
    ae974a485f413a2113503eed53cd6c53
    10.3997/2214-4609.20148731
    Scopus Count
    Collections
    Conference Papers; Environmental Science and Engineering Program; Physical Science and Engineering (PSE) Division; Earth Science and Engineering Program

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