A method for absorption compensation based on adaptive molecular decomposition |
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| Authors: | Ling-Ling Wang Jing-Huai Gao Zhang Ming |
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| Institution: | 1.Institute of Wave and Information, School of Electronic and Information,Xi’an Jiaotong University,Xi’an,China |
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| Abstract: | In this paper, we present a new method for seismic stratigraphic absorption compensation based on the adaptive molecular decomposition.
Using this method, we can remove most of the effects resulting from wavelets truncation and interference which usually exist
in the common time-frequency absorption compensation method. Based on the assumption that the amplitude spectrum of the source
wavelet is smooth, we first construct a set of adaptive Gabor frames based on the time-variant properties of the seismic signal
to transform the signal into the time-frequency domain and then extract the slowly varying component (the wavelet’s time-varying
amplitude spectrum) in each window in the time-frequency domain. Then we invert the absorption compensation filter parameters
with an objective function defined using the correlation coefficients in each window to get the corresponding compensation
filters. Finally, we use these filters to compensate the time-frequency spectrum in each window and then transform the time-frequency
spectrum to the time domain to obtain the absorption-compensated signal. By using adaptive molecular decomposition, this method
can adapt to isolated and overlapped seismic signals from the complex layers in the inhomogeneous viscoelastic medium. The
viability of the method is verified by synthetic and real data sets. |
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| Keywords: | adaptive molecular decomposition absorption compensation resolution |
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