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Effects of aperture on Marchenko focussing functions and their radiation behaviour at depth
A focussing function is a specially constructed field that focusses on to a purely downgoing pulse at a specified subsurface position upon injection into the medium. Such focussing functions are key ingredients in the Marchenko method and in its applications such as retrieving Green's functions...
Autores principales: | , |
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Formato: | Online Artículo Texto |
Lenguaje: | English |
Publicado: |
John Wiley and Sons Inc.
2019
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Materias: | |
Acceso en línea: | https://www.ncbi.nlm.nih.gov/pmc/articles/PMC6743743/ https://www.ncbi.nlm.nih.gov/pubmed/31543523 http://dx.doi.org/10.1111/1365-2478.12735 |
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author | Sripanich, Yanadet Vasconcelos, Ivan |
author_facet | Sripanich, Yanadet Vasconcelos, Ivan |
author_sort | Sripanich, Yanadet |
collection | PubMed |
description | A focussing function is a specially constructed field that focusses on to a purely downgoing pulse at a specified subsurface position upon injection into the medium. Such focussing functions are key ingredients in the Marchenko method and in its applications such as retrieving Green's functions, redatuming, imaging with multiples and synthesizing the response of virtual sources/receiver arrays at depth. In this study, we show how the focussing function and its corresponding focussed response at a specified subsurface position are heavily influenced by the aperture of the source/receiver array at the surface. We describe such effects by considering focussing functions in the context of time‐domain imaging, offering explicit connections between time processing and Marchenko focussing. In particular, we show that the focussed response radiates in the direction perpendicular to the line drawn from the centre of the surface data array aperture to the focussed position in the time‐imaging domain, that is, in time‐migration coordinates. The corresponding direction in the Cartesian domain follows from the sum (superposition) of the time‐domain direction and the directional change due to time‐to‐depth conversion. Therefore, the result from this study provides a better understanding of focussing functions and has implications in applications such as the construction of amplitude‐preserving redatuming and imaging, where the directional dependence of the focussed response plays a key role in controlling amplitude distortions. |
format | Online Article Text |
id | pubmed-6743743 |
institution | National Center for Biotechnology Information |
language | English |
publishDate | 2019 |
publisher | John Wiley and Sons Inc. |
record_format | MEDLINE/PubMed |
spelling | pubmed-67437432019-09-18 Effects of aperture on Marchenko focussing functions and their radiation behaviour at depth Sripanich, Yanadet Vasconcelos, Ivan Geophys Prospect Original Articles A focussing function is a specially constructed field that focusses on to a purely downgoing pulse at a specified subsurface position upon injection into the medium. Such focussing functions are key ingredients in the Marchenko method and in its applications such as retrieving Green's functions, redatuming, imaging with multiples and synthesizing the response of virtual sources/receiver arrays at depth. In this study, we show how the focussing function and its corresponding focussed response at a specified subsurface position are heavily influenced by the aperture of the source/receiver array at the surface. We describe such effects by considering focussing functions in the context of time‐domain imaging, offering explicit connections between time processing and Marchenko focussing. In particular, we show that the focussed response radiates in the direction perpendicular to the line drawn from the centre of the surface data array aperture to the focussed position in the time‐imaging domain, that is, in time‐migration coordinates. The corresponding direction in the Cartesian domain follows from the sum (superposition) of the time‐domain direction and the directional change due to time‐to‐depth conversion. Therefore, the result from this study provides a better understanding of focussing functions and has implications in applications such as the construction of amplitude‐preserving redatuming and imaging, where the directional dependence of the focussed response plays a key role in controlling amplitude distortions. John Wiley and Sons Inc. 2019-01-11 2019-02 /pmc/articles/PMC6743743/ /pubmed/31543523 http://dx.doi.org/10.1111/1365-2478.12735 Text en © 2018 The Authors. Geophysical Prospecting published by John Wiley & Sons Ltd on behalf of European Association of Geoscientists & Engineers. This is an open access article under the terms of the http://creativecommons.org/licenses/by/4.0/ License, which permits use, distribution and reproduction in any medium, provided the original work is properly cited. |
spellingShingle | Original Articles Sripanich, Yanadet Vasconcelos, Ivan Effects of aperture on Marchenko focussing functions and their radiation behaviour at depth |
title | Effects of aperture on Marchenko focussing functions and their radiation behaviour at depth |
title_full | Effects of aperture on Marchenko focussing functions and their radiation behaviour at depth |
title_fullStr | Effects of aperture on Marchenko focussing functions and their radiation behaviour at depth |
title_full_unstemmed | Effects of aperture on Marchenko focussing functions and their radiation behaviour at depth |
title_short | Effects of aperture on Marchenko focussing functions and their radiation behaviour at depth |
title_sort | effects of aperture on marchenko focussing functions and their radiation behaviour at depth |
topic | Original Articles |
url | https://www.ncbi.nlm.nih.gov/pmc/articles/PMC6743743/ https://www.ncbi.nlm.nih.gov/pubmed/31543523 http://dx.doi.org/10.1111/1365-2478.12735 |
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