Abstract:The matching pursuit (MP) algorithm has been widely applied to signal processing since it was proposed. This paper starts with constructing a redundant dictionary for MP by leveraging the initial model constraint and the convolution operator for the time-frequency (TF) domain. All possible matching atoms are then screened out from the whole TF domain to build an alternative atom dictionary. Subsequently,the subset with the highest energy is selected from the alternative atom dictionary by a regularization method to serve as the final matching atom dictionary. In other words,multiple matching atoms can be obtained in one iteration. The full-domain regularized fast MP algorithm thereby obtained offers the advantages of high computational efficiency and robustness. Furthermore,the initial model constraint and the TF-domain joint inversion method are introduced into the inversion framework,which effectively improves the accuracy of the inversion results. The proposed method is tested by 1D and 2D models and 3D field data,and the results indicate that the seismic inversion method based on full-domain regularized fast MP significantly outperforms those based on conventional MP in computational efficiency. The inversion results of the proposed method exhibit favorable horizon boundary fidelity in addition to high robustness.
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