Van der Baan, M. (2002) Constant Q and a fractal, stratifed Earth. Pure and Applied Geophysics, 159 (7-8). pp. 1707-1718. ISSN 1420-9136
Abstract
Frequency dependent measurements of the quality factor Q typically show a constant behaviour for low frequencies and a positive power law dependence for higher frequencies. In particular, the constant Q pattern is usually explained using intrinsic attenuation models due to anelasticity with either a single or multiple superposed relaxation mechanisms - each with a particular resonance peak. However, in this study, I show using wave localisation theory that a constant Q may also be due to apparent attenuation due to scattering losses. Namely, this phenomenon occurs if the Earth displays fractal characteristics. Moreover, if fractal characteristics exist over a limited range of scales only, even an absorption band can be created - in accordance with observations. This indicates that it may be very difficult to distinguish between intrinsic and scattering attenuation on the basis of frequency dependent measurements of the quality factor only.
Metadata
Item Type: | Article |
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Authors/Creators: |
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Copyright, Publisher and Additional Information: | Copyright, © 2002 Birkha¨user Verlag. This is an author produced electronic version of an article accepted for publication in Pure and Applied Geophysics. |
Keywords: | attenuation, fractals, inhomogeneous media, scattering, wave propagation |
Dates: |
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Institution: | The University of Leeds |
Academic Units: | The University of Leeds > Faculty of Environment (Leeds) > School of Earth and Environment (Leeds) |
Depositing User: | Repository Officer |
Date Deposited: | 04 Mar 2005 |
Last Modified: | 29 Oct 2016 17:46 |
Published Version: | http://springer.metapress.com/openurl.asp?genre=is... |
Status: | Published |
Refereed: | Yes |
Identification Number: | 10.1007/s00024-002-8704-0 |
Open Archives Initiative ID (OAI ID): | oai:eprints.whiterose.ac.uk:323 |