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Tube Waves, Seismic Waves And Effective Sources

Author(s)
Burridge, Robert; Kostek, Sergio; Kurkjian, Andrew L.
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Massachusetts Institute of Technology. Earth Resources Laboratory
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Abstract
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.
Date issued
1993
URI
http://hdl.handle.net/1721.1/75206
Publisher
Massachusetts Institute of Technology. Earth Resources Laboratory
Series/Report no.
Earth Resources Laboratory Industry Consortia Annual Report;1993-09

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