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

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 wi...

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Bibliographic Details
Published in:arXiv.org 2024-03
Main Authors: Thorbecke, Jan, Almobarak, Mohammed, Johno van IJsseldijk, Brackenhoff, Joeri, Meles, Giovanni, Wapenaar, Kees
Format: Article
Language:English
Subjects:
Algorithms
Iterative methods
Plane waves
Seismic surveys
Online Access:Get full text
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Summary: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.
ISSN:2331-8422