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

Jan Thorbecke*, Mohammed Almobarak, Johno van IJsseldijk, Joeri Brackenhoff, Giovanni Meles, Kees Wapenaar

*Corresponding author for this work

Research output: Contribution to journalArticleScientificpeer-review

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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.

Original languageEnglish
Article number105577
Number of pages11
JournalComputers and Geosciences
Publication statusPublished - 2024


  • Internal multiples
  • Marchenko algorithm
  • OpenSource implementation
  • Plane-waves


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