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Design, implementation and application of the Marchenko Plane-wave algorithm

2023/05/28 by Jan Thorbecke, Mohammed Almobarak, Thorbecke, Jan +9
Earth and Planetary Sciences · Engineering · #FOS: Physical sciences #Geophysical Methods and Applications #Geophysics (physics.geo-ph) #Seismic Imaging and Inversion Techniques #Seismic Waves and Analysis

paper · pdf · doi:10.48550/arxiv.2305.17639

openalex publication_date 2023/05/28 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/30

Abstract

The Marchenko algorithm can suppress the disturbing effects of internal multiples that are present in seismic reflection data. To achieve this, a set of coupled equations with four unknowns is solved. These coupled equations are separated into a set of two equations with two unknowns using a time window. The two unknown focusing functions can be resolved by an iterative or direct method. These focusing functions, when applied to reflection data, create virtual point-sources inside the medium. Combining individual virtual point-sources into a plane-wave leads to an efficient computation of images without internal multiples. In this study the internal multiples are eliminated in a redatuming step which is part of the imaging algorithm. To use the Marchenko algorithm with plane-wave focusing functions, the time window that separates the unknowns must be adapted. The design of the plane-wave Marchenko algorithm is explained and illustrated with numerically modeled and measured reflection data.

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