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    Resolution limits of migration and linearized waveform inversion images in a lossy medium

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    Type
    Article
    Authors
    Schuster, Gerard T. cc
    Dutta, Gaurav cc
    Li, Jing cc
    KAUST Department
    Center for Subsurface Imaging and Fluid Modeling
    Earth Science and Engineering Program
    Physical Science and Engineering (PSE) Division
    Date
    2017-03-14
    Online Publication Date
    2017-03-14
    Print Publication Date
    2017-06
    Permanent link to this record
    http://hdl.handle.net/10754/625461
    
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    Abstract
    The vertical-and horizontal-resolution limits Delta x(lossy) and Delta z(lossy) of post-stack migration and linearized waveform inversion images are derived for lossy data in the far-field approximation. Unlike the horizontal resolution limit Delta x proportional to lambda z/L in a lossless medium which linearly worsens in depth z, Delta x(lossy) proportional to z(2)/QL worsens quadratically with depth for a medium with small Q values. Here, Q is the quality factor, lambda is the effective wavelength, L is the recording aperture, and loss in the resolution formulae is accounted for by replacing lambda with z/Q. In contrast, the lossy vertical-resolution limit Delta z(lossy) only worsens linearly in depth compared to Delta z proportional to lambda for a lossless medium. For both the causal and acausal Q models, the resolution limits are linearly proportional to 1/Q for small Q. These theoretical predictions are validated with migration images computed from lossy data.
    Citation
    Schuster GT, Dutta G, Li J (2017) Resolution limits of migration and linearized waveform inversion images in a lossy medium. Geophysical Journal International 209: 1612–1621. Available: http://dx.doi.org/10.1093/gji/ggx105.
    Sponsors
    The research reported in this publication was supported by the King Abdullah University of Science and Technology (KAUST), Saudi Arabia. We are grateful to the sponsors of the Center for Subsurface Imaging and Modeling (CSIM) Consortium for their financial support. We also thank KAUST for providing funding by the CRG grant OCRF-14 2014-CRG3-2300. We thank the Editor Dr Lapo Boschi and the two anonymous reviewers for their helpful comments and suggestions.
    Publisher
    Oxford University Press (OUP)
    Journal
    Geophysical Journal International
    DOI
    10.1093/gji/ggx105
    Additional Links
    https://academic.oup.com/gji/article-lookup/doi/10.1093/gji/ggx105
    ae974a485f413a2113503eed53cd6c53
    10.1093/gji/ggx105
    Scopus Count
    Collections
    Articles; Physical Science and Engineering (PSE) Division; Earth Science and Engineering Program; Center for Subsurface Imaging and Fluid Modeling (CSIM)

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