Design, implementation and application of the Marchenko Plane-wave algorithm
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arXiv
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| Main Authors: | , , , , , |
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| Format: | Preprint |
| Published: |
2023
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| _version_ | 1866915433929506816 |
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| author | Thorbecke, Jan Almobarak, Mohammed van IJsseldijk, Johno Brackenhoff, Joeri Meles, Giovanni Wapenaar, Kees |
| author_facet | Thorbecke, Jan Almobarak, Mohammed van IJsseldijk, Johno Brackenhoff, Joeri Meles, Giovanni Wapenaar, Kees |
| contents | 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. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2305_17639 |
| institution | arXiv |
| publishDate | 2023 |
| record_format | arxiv |
| spellingShingle | Design, implementation and application of the Marchenko Plane-wave algorithm Thorbecke, Jan Almobarak, Mohammed van IJsseldijk, Johno Brackenhoff, Joeri Meles, Giovanni Wapenaar, Kees Geophysics 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. |
| title | Design, implementation and application of the Marchenko Plane-wave algorithm |
| topic | Geophysics |
| url | https://arxiv.org/abs/2305.17639 |