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Design, implementation and application of the Marchenko Plane-wave algorithm
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  • Jan Thorbecke ,
  • Mohammed Almobarak ,
  • Johno van IJsseldijk ,
  • Joeri Brackenhoff ,
  • Giovanni Meles ,
  • C.P.A. Wapenaar
Jan Thorbecke
Delft University of Technology, Delft University of Technology

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Mohammed Almobarak
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Johno van IJsseldijk
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Joeri Brackenhoff
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Giovanni Meles
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C.P.A. Wapenaar
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Abstract

The Marchenko algorithm can eliminate internal multiples 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 by means of a time-window. The two unknown focusing functions can be solved by an iterative or direct method. These focusing functions, when applied to the 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. To use the Marchenko algorithm with plane-wave focusing functions, the time-window that separates the unknowns must be adapted. In this paper the design of the plane-wave Marchenko algorithm is explained and illustrated with numerically modeled and measured reflection data.