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Improving the spatial resolution of effective elastic thickness estimation with the fan wavelet transform

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Authors
Kirby, Jonathan
Swain, Christopher
Date
2011
Type
Journal Article

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Kirby, J.F. and Swain, C.J. 2011. Improving the spatial resolution of effective elastic thickness estimation with the fan wavelet transform. Computers and Geosciences. 37 (9): pp. 1345-1354.
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Computers and Geosciences
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Department of Spatial Sciences
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NOTICE: this is the author’s version of a work that was accepted for publication in Computers and Geosciences. Changes resulting from the publishing process, such as peer review, editing, corrections, structural formatting, and other quality control mechanisms may not be reflected in this document. Changes may have been made to this work since it was submitted for publication. A definitive version was subsequently published in Computers and Geosciences, 37, 9, 2011 DOI:10.1016/j.cageo.2010.10.008

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Abstract

We show here a simple technique to improve the spatial resolution of the fan wavelet method for effective elastic thickness (Te) estimation that we have previously developed. The technique involves reducing the number of significant oscillations within the Gaussian window of the Morlet wavelet from approximately five to three or fewer (while making an additional correction for its no-longer-zero mean value). Testing with synthetic models and data over South America indicates that the accompanying reduction in wavenumber resolution does not seriously affect the accuracy of the Te estimates. Comparison against the more widely-used multitaper Fourier transform approach shows that the enhanced wavelet method not only improves upon the multitaper method's spatial resolution, but also is computationally much faster and requires the arbitrary variation of only one parameter compared to three for the multitaper method. Finally, we present a modified method to compute the predicted coherence using the multitaper method that, while not improving its spatial resolution, does improve the bias of recovered Te estimates.