Modeling of Wave Dispersion Using Continuous Wavelet Transforms II: Wavelet-based Frequency-velocity Analysis |
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Authors: | M Kulesh M Holschneider M Ohrnberger E Lück |
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Institution: | (1) Institute for Mathematics, University of Potsdam, Am Neuen Palais 10, 14469 Potsdam, Germany;(2) Institute for Geosciences, University of Potsdam, Karl-Liebnecht-Strasse 24–25, 14414 Potsdam, Germany |
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Abstract: | In this paper, we show how to estimate the phase velocities of multi-mode signals as present in 2-D shallow seismic surveys
along a seismic line with the help of a method that is based on the deformation of the wavelet spectra of the seismic traces.
In analogy with frequency-wavenumber (f–k) analysis, we perform “frequency-velocity” analysis using the correlations between phases of the wavelet spectra. Our method
has two tuning parameters — the parameter of an analyzing wavelet and the parameter of a threshold operation. Numerical and
experimental examples are presented to illustrate how the method accurately extracts the phase velocity from single- and multi-mode
signals. |
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Keywords: | Continuous wavelet transform multimode signal dispersion phase deformation |
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