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    Full waveform inversion using envelope-based global correlation norm

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    Type
    Article
    Authors
    Oh, Juwon cc
    Alkhalifah, Tariq Ali cc
    KAUST Department
    Earth Science and Engineering Program
    Physical Science and Engineering (PSE) Division
    Seismic Wave Analysis Group
    Date
    2018-01-30
    Online Publication Date
    2018-01-30
    Print Publication Date
    2018-05-01
    Permanent link to this record
    http://hdl.handle.net/10754/627058
    
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    Abstract
    Various parameterizations have been suggested to simplify inversions of first arrivals, or P −waves, in orthorhombic anisotropic media, but the number and type of retrievable parameters have not been decisively determined. We show that only six parameters can be retrieved from the dynamic linearized inversion of P −waves. These parameters are different from the six parameters needed to describe the kinematics of P −waves. Reflection-based radiation patterns from the P − P scattered waves are remapped into the spectral domain to allow for our resolution analysis based on the effective angle of illumination concept. Singular value decomposition of the spectral sensitivities from various azimuths, offset coverage scenarios, and data bandwidths allows us to quantify the resolution of different parameterizations, taking into account the signal-to-noise ratio in a given experiment. According to our singular value analysis, when the primary goal of inversion is determining the velocity of the P −waves, gradually adding anisotropy of lower orders (isotropic, vertically transversally isotropic, orthorhombic) in hierarchical parameterization is the best choice. Hierarchical parametrization reduces the tradeoff between the parameters and makes gradual introduction of lower anisotropy orders straightforward. When all the anisotropic parameters affecting P −wave propagation need to be retrieved simultaneously, the classic parameterization of orthorhombic medium with elastic stiffness matrix coefficients and density is a better choice for inversion. We provide estimates of the number and set of parameters that can be retrieved from surface seismic data in different acquisition scenarios. To set up an inversion process, the singular values determine the number of parameters that can be inverted and the resolution matrices from the parameterizations can be used to ascertain the set of parameters that can be resolved.
    Citation
    Oh J-W, Alkhalifah T (2018) Full waveform inversion using envelope-based global correlation norm. Geophysical Journal International. Available: http://dx.doi.org/10.1093/gji/ggy031.
    Sponsors
    Research reported in this publication was supported by competitive research funding from King Abdullah University of Science and Technology (KAUST) in Thuwal, Saudi Arabia. This research was also supported by Basic Science Research Program through the National Research Foundation of Korea (NRF) funded by the Ministry of Science and ICT (NRF-2017R1C1B5077123). The authors would like to thank Statoil ASA and the Volve license partners ExxonMobil Exploration and Production Norway AS and Bayerngas Norge AS for the release of the Volve data. We would like to thank Marianne Houbiers from Statoil for providing some helpful suggestions and corrections. For computer time, this research used the resources of the Supercomputing Laboratory in KAUST. We thank the members of Seismic Wave Analysis Group (SWAG) in KAUST for their helpful discussion. We would like to thank Lapo Boschi as the Associate Editor, Jean-Xavier Dessa and one anonymous reviewer for their helpful suggestions.
    Publisher
    Oxford University Press (OUP)
    Journal
    Geophysical Journal International
    DOI
    10.1093/gji/ggy031
    Additional Links
    https://academic.oup.com/gji/advance-article-abstract/doi/10.1093/gji/ggy034/4830112
    ae974a485f413a2113503eed53cd6c53
    10.1093/gji/ggy031
    Scopus Count
    Collections
    Articles; Physical Science and Engineering (PSE) Division; Earth Science and Engineering Program

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