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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...

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Autores principales: Sripanich, Yanadet, Vasconcelos, Ivan
Formato: Online Artículo Texto
Lenguaje:English
Publicado: John Wiley and Sons Inc. 2019
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.
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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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