Tube Waves, Seismic Waves And Effective Sources
A simple asymptotic analysis, based on the smallness of the ratio of the borehole radius to the wavelength, reveals the interaction between tube waves and seismic waves. The pressure field in a tube wave acts as a secondary source of seismic waves and conversely an incoming seismic wave excites a...
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Format: | Technical Report |
Published: |
Massachusetts Institute of Technology. Earth Resources Laboratory
2012
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Online Access: | http://hdl.handle.net/1721.1/75206 |
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author | Burridge, Robert Kostek, Sergio Kurkjian, Andrew L. |
author2 | Massachusetts Institute of Technology. Earth Resources Laboratory |
author_facet | Massachusetts Institute of Technology. Earth Resources Laboratory Burridge, Robert Kostek, Sergio Kurkjian, Andrew L. |
author_sort | Burridge, Robert |
collection | MIT |
description | A simple asymptotic analysis, based on the smallness of the ratio of the borehole radius
to the wavelength, reveals the interaction between tube waves and seismic waves. The
pressure field in a tube wave acts as a secondary source of seismic waves and conversely
an incoming seismic wave excites a tube wave. The asymptotic analysis leads to a
characterization of these sources in terms of the solution to two-dimensional elastostatic problems. These may be solved exactly when the borehole has an elliptical cross-section even in an anisotropic formation. Also the borehole need not be straight provided that its radius of curvature is large compared with a wavelength. |
first_indexed | 2024-09-23T10:42:00Z |
format | Technical Report |
id | mit-1721.1/75206 |
institution | Massachusetts Institute of Technology |
last_indexed | 2024-09-23T10:42:00Z |
publishDate | 2012 |
publisher | Massachusetts Institute of Technology. Earth Resources Laboratory |
record_format | dspace |
spelling | mit-1721.1/752062019-04-11T04:49:19Z Tube Waves, Seismic Waves And Effective Sources Burridge, Robert Kostek, Sergio Kurkjian, Andrew L. Massachusetts Institute of Technology. Earth Resources Laboratory Burridge, Robert Kostek, Sergio A simple asymptotic analysis, based on the smallness of the ratio of the borehole radius to the wavelength, reveals the interaction between tube waves and seismic waves. The pressure field in a tube wave acts as a secondary source of seismic waves and conversely an incoming seismic wave excites a tube wave. The asymptotic analysis leads to a characterization of these sources in terms of the solution to two-dimensional elastostatic problems. These may be solved exactly when the borehole has an elliptical cross-section even in an anisotropic formation. Also the borehole need not be straight provided that its radius of curvature is large compared with a wavelength. 2012-12-04T16:51:38Z 2012-12-04T16:51:38Z 1993 Technical Report http://hdl.handle.net/1721.1/75206 Earth Resources Laboratory Industry Consortia Annual Report;1993-09 application/pdf Massachusetts Institute of Technology. Earth Resources Laboratory |
spellingShingle | Burridge, Robert Kostek, Sergio Kurkjian, Andrew L. Tube Waves, Seismic Waves And Effective Sources |
title | Tube Waves, Seismic Waves And Effective Sources |
title_full | Tube Waves, Seismic Waves And Effective Sources |
title_fullStr | Tube Waves, Seismic Waves And Effective Sources |
title_full_unstemmed | Tube Waves, Seismic Waves And Effective Sources |
title_short | Tube Waves, Seismic Waves And Effective Sources |
title_sort | tube waves seismic waves and effective sources |
url | http://hdl.handle.net/1721.1/75206 |
work_keys_str_mv | AT burridgerobert tubewavesseismicwavesandeffectivesources AT kosteksergio tubewavesseismicwavesandeffectivesources AT kurkjianandrewl tubewavesseismicwavesandeffectivesources |