Design, implementation and application of the Marchenko plane-wave algorithm
Jan Thorbecke (TU Delft - Applied Geophysics and Petrophysics)
Mohammed Almobarak (Saudi Aramco)
J.E. van IJsseldijk (TU Delft - Applied Geophysics and Petrophysics)
Joeri Brackenhoff (Quantairra Research and Development Services B.V.)
Giovanni Angelo Meles (University of Lausanne)
C.P.A. Wapenaar (TU Delft - Applied Geophysics and Petrophysics)
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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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