Deblending random seismic sources via independent component analysis

We consider the question of deblending for seismic shot records generated from simultaneous random sources at different locations, i.e., how to decompose them into isolated records involving one source at a time. As an example, seismic-while-drilling experiments use active drill-string sources and r...

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Main Authors: Pisupati, Pawan Bharadwaj, Demanet, Laurent, Fournier, Aime
Other Authors: Massachusetts Institute of Technology. Department of Earth, Atmospheric, and Planetary Sciences
Format: Article
Published: Society of Exploration Geophysicists 2018
Online Access:http://hdl.handle.net/1721.1/116240
https://orcid.org/0000-0001-7052-5097
https://orcid.org/0000-0002-5872-8307
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author Pisupati, Pawan Bharadwaj
Demanet, Laurent
Fournier, Aime
author2 Massachusetts Institute of Technology. Department of Earth, Atmospheric, and Planetary Sciences
author_facet Massachusetts Institute of Technology. Department of Earth, Atmospheric, and Planetary Sciences
Pisupati, Pawan Bharadwaj
Demanet, Laurent
Fournier, Aime
author_sort Pisupati, Pawan Bharadwaj
collection MIT
description We consider the question of deblending for seismic shot records generated from simultaneous random sources at different locations, i.e., how to decompose them into isolated records involving one source at a time. As an example, seismic-while-drilling experiments use active drill-string sources and receivers to look around and ahead of the borehole, but these receivers also record noise from the operation of the drill bit. A conventional method for deblending is independent component analysis (ICA), which assumes a “cocktail-party” mixing model where each receiver records a linear combination of source signals assumed to be statistically independent, and where only one source can have a Gaussian distribution. In this note, we extend the applicability of ICA to seismic shot records with markedly more complex mixing models with unknown wave kinematics, provided the following assumptions are met. 1. The active source is fully controllable, which means that it can be used to input a wide range of non-Gaussian random signals into the subsurface. 2. The waves are a linear function of the source, have a finite speed of propagation, and follow finite-length paths. The last assumption implies a scale separation, in frequency, between the mixing matrix elements (Green’s functions) and the random input signals. In this regime, we show that the key to the success of ICA is careful windowing to frequency bands over which the Green’s functions are approximately constant.
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spelling mit-1721.1/1162402022-10-02T00:51:25Z Deblending random seismic sources via independent component analysis Pisupati, Pawan Bharadwaj Demanet, Laurent Fournier, Aime Massachusetts Institute of Technology. Department of Earth, Atmospheric, and Planetary Sciences Massachusetts Institute of Technology. Department of Mathematics Pisupati, Pawan Bharadwaj Demanet, Laurent Fournier, Aime We consider the question of deblending for seismic shot records generated from simultaneous random sources at different locations, i.e., how to decompose them into isolated records involving one source at a time. As an example, seismic-while-drilling experiments use active drill-string sources and receivers to look around and ahead of the borehole, but these receivers also record noise from the operation of the drill bit. A conventional method for deblending is independent component analysis (ICA), which assumes a “cocktail-party” mixing model where each receiver records a linear combination of source signals assumed to be statistically independent, and where only one source can have a Gaussian distribution. In this note, we extend the applicability of ICA to seismic shot records with markedly more complex mixing models with unknown wave kinematics, provided the following assumptions are met. 1. The active source is fully controllable, which means that it can be used to input a wide range of non-Gaussian random signals into the subsurface. 2. The waves are a linear function of the source, have a finite speed of propagation, and follow finite-length paths. The last assumption implies a scale separation, in frequency, between the mixing matrix elements (Green’s functions) and the random input signals. In this regime, we show that the key to the success of ICA is careful windowing to frequency bands over which the Green’s functions are approximately constant. Statoil ASA United States. Air Force. Office of Scientific Research (Grant FA9550- 12-1-0328) United States. Air Force. Office of Scientific Research (Grant FA9550-15-1-0078) National Science Foundation (U.S.) (Grant DMS-1255203) United States. Office of Naval Research (Grant N00014-16-1- 2122) 2018-06-12T14:04:46Z 2018-06-12T14:04:46Z 2017-09 2018-05-17T17:15:12Z Article http://purl.org/eprint/type/ConferencePaper 1949-4645 http://hdl.handle.net/1721.1/116240 Bharadwaj, Pawan, et al. "Deblending Random Seismic Sources via Independent Component Analysis." SEG Technical Program Expanded Abstracts 2017, pp. 4898–902. https://orcid.org/0000-0001-7052-5097 https://orcid.org/0000-0002-5872-8307 http://dx.doi.org/10.1190/SEGAM2017-17677817.1 SEG Technical Program Expanded Abstracts 2017 Creative Commons Attribution-Noncommercial-Share Alike http://creativecommons.org/licenses/by-nc-sa/4.0/ application/pdf Society of Exploration Geophysicists MIT Web Domain
spellingShingle Pisupati, Pawan Bharadwaj
Demanet, Laurent
Fournier, Aime
Deblending random seismic sources via independent component analysis
title Deblending random seismic sources via independent component analysis
title_full Deblending random seismic sources via independent component analysis
title_fullStr Deblending random seismic sources via independent component analysis
title_full_unstemmed Deblending random seismic sources via independent component analysis
title_short Deblending random seismic sources via independent component analysis
title_sort deblending random seismic sources via independent component analysis
url http://hdl.handle.net/1721.1/116240
https://orcid.org/0000-0001-7052-5097
https://orcid.org/0000-0002-5872-8307
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