Robust seismic images amplitude recovery using curvelets

Peyman P. Moghaddam, Felix J. Herrmann, C.C. Stolk

    Research output: Chapter in Book/Report/Conference proceedingConference contributionAcademicpeer-review

    1 Citation (Scopus)

    Abstract

    In this paper, we recover the amplitude of a seismic image by approximating the normal (demigration-migration) operator. In this approximation, we make use of the property that curvelets remain invariant under the action of the normal operator. We propose a seismic amplitude recovery method that employs an eigenvalue like decomposition for the normal operator using curvelets as eigen-vectors. Subsequently, we propose an approximate non-linear singularity-preserving solution to the least-squares seismic imaging problem with sparseness in the curvelet domain and spatial continuity constraints. Our method is tested with a reverse-time `wave-equation' migration code simulating the acoustic wave equation on the SEG-AA salt model.
    Original languageUndefined
    Title of host publicationSEG Technical Program Expanded Abstracts - 2007
    Place of PublicationTulsa OK
    PublisherSociety of Exploration Geophysicists
    Pages2225-2229
    Number of pages5
    ISBN (Print)not assigned
    DOIs
    Publication statusPublished - 2007

    Publication series

    NameSEG Technical Program Expanded Abstracts
    PublisherSociety of Exploration Geophysicists
    Number1
    Volume26

    Keywords

    • EWI-11572
    • METIS-245859
    • IR-62056

    Cite this

    Moghaddam, P. P., Herrmann, F. J., & Stolk, C. C. (2007). Robust seismic images amplitude recovery using curvelets. In SEG Technical Program Expanded Abstracts - 2007 (pp. 2225-2229). [10.1190/1.2792928] (SEG Technical Program Expanded Abstracts; Vol. 26, No. 1). Tulsa OK: Society of Exploration Geophysicists. https://doi.org/10.1190/1.2792928