Time-lapse image-domain tomography using adjoint-state methods

Jeffrey Shragge, T. Yang, P.C. Sava

    Research output: Contribution to journalArticle

    5 Citations (Scopus)

    Abstract

    Adjoint-state methods (ASMs) have proven successful for calculating the gradients of the functionals commonly found in geophysical inverse problems. The 3D ASM imagedomain tomography (IDT) formulation of the seismic velocity estimation problem highlights imperfections in migrated image volumes and, using appropriate penalty functions (e.g., differential semblance), forms an objective function that can be minimized using standard optimization approaches. For time-lapse (4D) seismic scenarios, we show that the 3D ASM-IDT approach can be extended to multiple (e.g., baseline and monitor) data sets and offers high-quality estimates of subsurface velocity change. We discuss two different penalty operators that lead to absolute and relative 4D inversion strategies. The absolute approach uses the difference of two independent 3D inversions to estimate a 4D model perturbation (i.e., slowness squared). The relative approach inverts for the model perturbation that optimally matches the monitor image to the baseline image - even if migrated energy is imperfectly focused. Both approaches yield good 4D slowness estimates; however, we assert that the relative approach is more robust given the ubiquitous presence of nonrepeatable 4D acquisition noise and imperfect baseline model estimates. © 2013 Society of Exploration Geophysicists.
    Original languageEnglish
    Pages (from-to)A29-A33
    JournalGeophysics
    Volume78
    Issue number4
    DOIs
    Publication statusPublished - 2013

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    tomography
    Tomography
    estimates
    monitors
    penalty function
    inversions
    Inverse problems
    perturbation
    penalties
    functionals
    acquisition
    Defects
    inverse problem
    seismic velocity
    formulations
    operators
    gradients
    optimization
    method
    defects

    Cite this

    Shragge, Jeffrey ; Yang, T. ; Sava, P.C. / Time-lapse image-domain tomography using adjoint-state methods. In: Geophysics. 2013 ; Vol. 78, No. 4. pp. A29-A33.
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    Time-lapse image-domain tomography using adjoint-state methods. / Shragge, Jeffrey; Yang, T.; Sava, P.C.

    In: Geophysics, Vol. 78, No. 4, 2013, p. A29-A33.

    Research output: Contribution to journalArticle

    TY - JOUR

    T1 - Time-lapse image-domain tomography using adjoint-state methods

    AU - Shragge, Jeffrey

    AU - Yang, T.

    AU - Sava, P.C.

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    AB - Adjoint-state methods (ASMs) have proven successful for calculating the gradients of the functionals commonly found in geophysical inverse problems. The 3D ASM imagedomain tomography (IDT) formulation of the seismic velocity estimation problem highlights imperfections in migrated image volumes and, using appropriate penalty functions (e.g., differential semblance), forms an objective function that can be minimized using standard optimization approaches. For time-lapse (4D) seismic scenarios, we show that the 3D ASM-IDT approach can be extended to multiple (e.g., baseline and monitor) data sets and offers high-quality estimates of subsurface velocity change. We discuss two different penalty operators that lead to absolute and relative 4D inversion strategies. The absolute approach uses the difference of two independent 3D inversions to estimate a 4D model perturbation (i.e., slowness squared). The relative approach inverts for the model perturbation that optimally matches the monitor image to the baseline image - even if migrated energy is imperfectly focused. Both approaches yield good 4D slowness estimates; however, we assert that the relative approach is more robust given the ubiquitous presence of nonrepeatable 4D acquisition noise and imperfect baseline model estimates. © 2013 Society of Exploration Geophysicists.

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