Enhancement of Deghosted Seismic Data Based on Spectra Reconstruction

Deghosting is a critical step to improve the resolution of marine seismic data. For the frequency wavenumber (f-k) spectra of the original seismic data with ghosts, there always exist some low-SNR frequency components around the centers of the frequency notch bands, which are caused by the ghosts. In general, the traditional inverse filtering-based deghosting methods lack the ability to recover these low-SNR frequency components without amplifying the additive noise. In this letter, we propose a postprocessing method to enhance the deghosted seismic data by reconstructing these low-SNR frequency components. The proposed method includes two key steps. First, the low-SNR frequency components of the deghosted seismic data in the f-k domain are located adaptively by using both the original seismic data and its deghosted result. Second, the projection onto convex sets algorithm is introduced to reconstruct these low-SNR frequency components located in the previous step. To illustrate this, we use the proposed method to improve the deghosted results obtained by the non-Gaussianity maximization based f-k deghosting method. Applications on synthetic and real field marine data sets demonstrate the validity of the proposed method which can enhance the deghosted results significantly.