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Constant Q and a fractal, stratifed Earth

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

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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.

Item Type: Article
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
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: 05 Jun 2014 07:08
Published Version: http://springer.metapress.com/openurl.asp?genre=is...
Status: Published
Refereed: Yes
Identification Number: 10.1007/s00024-002-8704-0
URI: http://eprints.whiterose.ac.uk/id/eprint/323

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