Tomographic errors from wavefront healing: more than just a fast bias
Wave front healing, in which diffractions interfere with directly travelling waves causing a reduction in recorded traveltime delays, has been postulated to cause a bias towards faster estimated earth models. This paper reviews the theory from the mathematical physics community that explains the pro...
| Main Authors: | , |
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| Other Authors: | |
| Format: | Article |
| Language: | en_US |
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John Wiley & Sons, Inc.
2012
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| Online Access: | http://hdl.handle.net/1721.1/75750 |
| _version_ | 1811078627924639744 |
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| author | Malcolm, Alison E. Trampert, Jeannot |
| 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 Malcolm, Alison E. Trampert, Jeannot |
| author_sort | Malcolm, Alison E. |
| collection | MIT |
| description | Wave front healing, in which diffractions interfere with directly travelling waves causing a reduction in recorded traveltime delays, has been postulated to cause a bias towards faster estimated earth models. This paper reviews the theory from the mathematical physics community that explains the properties of diffractions and applies it to a suite of increasingly complicated numerical examples. We focus in particular on the elastic case and on the differences between P and S healing. We find that rather than introducing a systemic fast bias, wave front healing gives a more complicated bias in the results of traveltime tomography, with fast anomalies even manifesting themselves as slow anomalies in some situations. Of particular interest, we find that a negative correlation between the bulk and shear or compressional velocities may result to a large extend from healing. |
| first_indexed | 2024-09-23T11:03:12Z |
| format | Article |
| id | mit-1721.1/75750 |
| institution | Massachusetts Institute of Technology |
| language | en_US |
| last_indexed | 2024-09-23T11:03:12Z |
| publishDate | 2012 |
| publisher | John Wiley & Sons, Inc. |
| record_format | dspace |
| spelling | mit-1721.1/757502022-10-01T00:48:09Z Tomographic errors from wavefront healing: more than just a fast bias Malcolm, Alison E. Trampert, Jeannot Massachusetts Institute of Technology. Department of Earth, Atmospheric, and Planetary Sciences Malcom, Alison E. Malcolm, Alison E. Wave front healing, in which diffractions interfere with directly travelling waves causing a reduction in recorded traveltime delays, has been postulated to cause a bias towards faster estimated earth models. This paper reviews the theory from the mathematical physics community that explains the properties of diffractions and applies it to a suite of increasingly complicated numerical examples. We focus in particular on the elastic case and on the differences between P and S healing. We find that rather than introducing a systemic fast bias, wave front healing gives a more complicated bias in the results of traveltime tomography, with fast anomalies even manifesting themselves as slow anomalies in some situations. Of particular interest, we find that a negative correlation between the bulk and shear or compressional velocities may result to a large extend from healing. Netherlands Organization for Scientific Research (NWO:VICI865.03.007) 2012-12-17T21:27:40Z 2012-12-17T21:27:40Z 2011-02 2010-12 Article http://purl.org/eprint/type/JournalArticle 0956-540X 1365-246X http://hdl.handle.net/1721.1/75750 Malcolm, Alison E., and Jeannot Trampert. “Tomographic Errors from Wave Front Healing: More Than Just a Fast Bias.” Geophysical Journal International 185.1 (2011): 385–402. Web. en_US http://dx.doi.org/10.1111/j.1365-246X.2011.04945.x Geophysical Journal International Creative Commons Attribution-Noncommercial-Share Alike 3.0 http://creativecommons.org/licenses/by-nc-sa/3.0/ application/pdf John Wiley & Sons, Inc. Malcolm via Michael Noga |
| spellingShingle | Malcolm, Alison E. Trampert, Jeannot Tomographic errors from wavefront healing: more than just a fast bias |
| title | Tomographic errors from wavefront healing: more than just a fast bias |
| title_full | Tomographic errors from wavefront healing: more than just a fast bias |
| title_fullStr | Tomographic errors from wavefront healing: more than just a fast bias |
| title_full_unstemmed | Tomographic errors from wavefront healing: more than just a fast bias |
| title_short | Tomographic errors from wavefront healing: more than just a fast bias |
| title_sort | tomographic errors from wavefront healing more than just a fast bias |
| url | http://hdl.handle.net/1721.1/75750 |
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