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Short Period Internal De-multiple Using Energy and Causality Constrained Bandlimited Marchenko Redatuming
- Publisher: European Association of Geoscientists & Engineers
- Source: Conference Proceedings, 80th EAGE Conference and Exhibition 2018, Jun 2018, Volume 2018, p.1 - 5
Abstract
Internal multiple elimination relies on the ability to predict multiples from primary reflections. Similarly, Marchenko redatuming, belonging to this family of algorithms, requires an estimate of the initial focusing function, typically taken as a direct arrival field, which assumes no scattering with a period lower than its width. In case some of the reflectors are spaced closer in time than the wavelet width (dominant wavelength of the band limited data) but further apart than the minimum recordable wavelength, then such short period internal multiples will either not be predicted/subtracted or will leave artifacts in the reconstructed Marchenko redatumed response. We show that exploiting energy conservation and the inverse transmission property of the down-going focusing field, Marchenko redatuming theory, can be extended to properly handle such short period internal multiple, without additional information or assumptions beyond those used by the conventional Marchenko approach. Here we present the 1D theory which can be extended to 2D and 3D laterally invariant media.