Singular-value decomposition analysis of source illumination in seismic interferometry by multidimensional deconvolution

Shohei Minato, Toshifumi Matsuoka, Takeshi Tsuji

    Research output: Contribution to journalArticlepeer-review

    15 Citations (Scopus)

    Abstract

    We have developed a method to analytically evaluate the relationship between the source-receiver configuration and the retrievedwavefield in seismic interferometry performed by multidimensional deconvolution (MDD). The MDD method retrieves thewavefield with the desired source-receiver configuration from the observed wavefield without source information. We used a singular-value decomposition (SVD) approach to solve the inverse problem of MDD. By introducing SVD into MDD, we obtained quantities that revealed the characteristics of the MDD inverse problem and interpreted the effect of the initial sourcereceiver configuration for a survey design. We numerically simulated the wavefield with a 2D model and investigated the rank of the incident field matrix of the MDD inverse problem. With a source array of identical length, a sparse and a dense source distribution resulted in an incident field matrix of the same rank and retrieved the same wavefield. Therefore, the optimum source distribution can be determined by analyzing the rank of the incident field matrix of the inverse problem. In addition, the introduction of scatterers into the model improved the source illumination and effectively increased the rank, enabling MDD to retrieve a better wavefield. We found that the ambiguity of the wavefield inferred from the model resolution matrix was a good measure of the amount of illumination of each receiver by the sources. We used the field data recorded at the two boreholes from the surface sources to support our results of the numerical modeling. We evaluated the rank of incident field matrix with the dense and sparse source distribution. We discovered that these two distributions resulted in an incident field matrix of almost the same rank and retrieved almost the same wavefield as the numerical modeling. This is crucial information for designing seismic experiments using the MDD-based approach.

    Original languageEnglish
    Pages (from-to)Q25-Q34
    JournalGEOPHYSICS
    Volume78
    Issue number3
    DOIs
    Publication statusPublished - 2013

    All Science Journal Classification (ASJC) codes

    • Geochemistry and Petrology

    Fingerprint

    Dive into the research topics of 'Singular-value decomposition analysis of source illumination in seismic interferometry by multidimensional deconvolution'. Together they form a unique fingerprint.

    Cite this