Abstract

Summary We propose a sparsity enhanced (time-invariant) wavelet deconvolution process, in which the sparse-spike deconvolution of the residual wavelet i.e.; the Wiener deconvolved wavelet (which usually is not a spike due to band-limitations of the original wavelet), is being gradually added to the data after Wiener deconvolution. The contribution of the sparse-spike deconvolution result is proportional to the deviation of the amplitude spectrum of the residual wavelet from unity, i.e.; it is stronger the closer the amplitude spectrum of the residual wavelet is to zero, but very small the closer it is to unity. We demonstrate the proposed technique on real data with the deconvolution of the (normal-incidence) source side sea-surface ghost of marine towed streamer data. We also present the extension of the proposed technique to time-variant wavelet deconvolution. This article is protected by copyright. All rights reserved

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