Volumetric Filtering for Shot Gather Interpolation in Swath Seismic Acquisition

Due to environmental and economic constraints inherent to seismic exploration, there are often missing shotpoints and receivers that degrade the resolution of the final seismic image. Hence, sophisticated interpolation techniques are required for the recovery of dense and uniform spatial sampling. Recent approaches improve the interpolation by adopting robust models through denoisers. We introduce a 3-D shot gather interpolation method that jointly considers a sparse prior and a regularization induced by a multichannel volumetric denoiser. The proposed volumetric regularization uses collaborative filters that perform denoising through transform-domain shrinkage of a group of similar seismic cubes extracted from a land seismic acquisition. This grouping and collaborative filtering paradigm exploit the local correlation present in each cube and the nonlocal correlation between different cubes. Experiments on the Stratton 3-D survey show that the proposed method can interpolate 3-D shot gathers in an orthogonal seismic recording from a swath geometry, outperforming methods based on 2-D denoisers and 5-D seismic data reconstruction in terms of root mean square error and the recovery of seismic reflections.