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

• Published in: Computers & geosciences Vol. 187; p. 105577
• Main Authors: Thorbecke, Jan, Almobarak, Mohammed, IJsseldijk, Johno van, Brackenhoff, Joeri, Meles, Giovanni, Wapenaar, Kees
• Format: Journal Article
• Language: English
• Published: Elsevier Ltd 01.05.2024
• Subjects: Internal multiples; Marchenko algorithm; OpenSource implementation; Plane-waves; OpenSource implementation; Marchenko algorithm; Plane-waves; Internal multiples
• ISSN: 0098-3004; 1873-7803; 1873-7803
• DOI: 10.1016/j.cageo.2024.105577

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. •Internal multiple removal based on Marchenko algorithm.•Efficient data processing by constructing plane-waves.•Explanation of counter intuitive time-windows.•Results are reproducible with provided source-code.