Using SVD for improved interferometric Green's function retrieval
Seismic interferometry (SI) is a technique used to estimate the Green’s function (GF) between two receiver locations, as if there were a source at one of the receiver locations. However, in many applications, the requirements to recover the exact GF are not satisfied and SI yields a poor estimate of...
| Main Authors: | , , , |
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| Format: | Technical Report |
| Language: | en_US |
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Massachusetts Institute of Technology. Earth Resources Laboratory
2014
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| Online Access: | http://hdl.handle.net/1721.1/90521 |
| _version_ | 1826202081796554752 |
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| author | Melo, Gabriela Malcolm, Alison E. Mikesell, Dylan van Wijk, Kasper |
| author2 | Massachusetts Institute of Technology. Earth Resources Laboratory |
| author_facet | Massachusetts Institute of Technology. Earth Resources Laboratory Melo, Gabriela Malcolm, Alison E. Mikesell, Dylan van Wijk, Kasper |
| author_sort | Melo, Gabriela |
| collection | MIT |
| description | Seismic interferometry (SI) is a technique used to estimate the Green’s function (GF) between two receiver locations, as if there were a source at one of the receiver locations. However, in many applications, the requirements to recover the exact GF are not satisfied and SI yields a poor estimate of the GF. For these non-ideal cases, we improve the interferometric GFs, by applying Singular Value Decomposition (SVD) to the crosscorrelations before stacking. The SVD approach preserves energy that is stationary in the crosscorrelations, which is the energy that contributes most to the GF recovery, and attenuates non-stationary energy, which leads to artifacts in the interferometric GF. We apply this method to construct virtual shot gathers (for both synthetic and field data) and demonstrate how using SVD enhances physical arrivals in these gathers. We also find that SVD is robust with respect to weakly correlated random noise, allowing a better recovery of events from noisy data, in some cases recovering energy that would otherwise be completely lost in the noise and that the standard seismic interferometry technique fails to recover. |
| first_indexed | 2024-09-23T12:01:35Z |
| format | Technical Report |
| id | mit-1721.1/90521 |
| institution | Massachusetts Institute of Technology |
| language | en_US |
| last_indexed | 2024-09-23T12:01:35Z |
| publishDate | 2014 |
| publisher | Massachusetts Institute of Technology. Earth Resources Laboratory |
| record_format | dspace |
| spelling | mit-1721.1/905212019-04-11T09:46:10Z Using SVD for improved interferometric Green's function retrieval Melo, Gabriela Malcolm, Alison E. Mikesell, Dylan van Wijk, Kasper Massachusetts Institute of Technology. Earth Resources Laboratory Interferometry Seismic interferometry (SI) is a technique used to estimate the Green’s function (GF) between two receiver locations, as if there were a source at one of the receiver locations. However, in many applications, the requirements to recover the exact GF are not satisfied and SI yields a poor estimate of the GF. For these non-ideal cases, we improve the interferometric GFs, by applying Singular Value Decomposition (SVD) to the crosscorrelations before stacking. The SVD approach preserves energy that is stationary in the crosscorrelations, which is the energy that contributes most to the GF recovery, and attenuates non-stationary energy, which leads to artifacts in the interferometric GF. We apply this method to construct virtual shot gathers (for both synthetic and field data) and demonstrate how using SVD enhances physical arrivals in these gathers. We also find that SVD is robust with respect to weakly correlated random noise, allowing a better recovery of events from noisy data, in some cases recovering energy that would otherwise be completely lost in the noise and that the standard seismic interferometry technique fails to recover. United States. Dept. of Energy; Massachusetts Institute of Technology. Earth Resources Laboratory (Founding Members Consortium) 2014-10-02T14:02:52Z 2014-10-02T14:02:52Z 2013 Technical Report http://hdl.handle.net/1721.1/90521 en_US Earth Resources Laboratory Industry Consortia Annual Report;2013-32 application/pdf Massachusetts Institute of Technology. Earth Resources Laboratory |
| spellingShingle | Interferometry Melo, Gabriela Malcolm, Alison E. Mikesell, Dylan van Wijk, Kasper Using SVD for improved interferometric Green's function retrieval |
| title | Using SVD for improved interferometric Green's function retrieval |
| title_full | Using SVD for improved interferometric Green's function retrieval |
| title_fullStr | Using SVD for improved interferometric Green's function retrieval |
| title_full_unstemmed | Using SVD for improved interferometric Green's function retrieval |
| title_short | Using SVD for improved interferometric Green's function retrieval |
| title_sort | using svd for improved interferometric green s function retrieval |
| topic | Interferometry |
| url | http://hdl.handle.net/1721.1/90521 |
| work_keys_str_mv | AT melogabriela usingsvdforimprovedinterferometricgreensfunctionretrieval AT malcolmalisone usingsvdforimprovedinterferometricgreensfunctionretrieval AT mikeselldylan usingsvdforimprovedinterferometricgreensfunctionretrieval AT vanwijkkasper usingsvdforimprovedinterferometricgreensfunctionretrieval |