Four-dimensional f-k Interpolation of Wide Azimuth Towed Streamer Data

We extend the frequency-wavenumber (f-k) interpolation method introduced by Gulunay (2003) into a Four-Dimensional (4D) application. The 4D f-k interpolation is used to interpolate between streamers and shots in Wide Azimuth Towed Streamer (WATS) data. The f-k interpolation method utilizes the low frequency non-aliased portion of data to interpolate aliased high frequencies. Therefore, it can handle highly aliased spatial domains. In addition, the multidimensional nature of the 4D f-k interpolator extracts information from non-aliased spatial axes to interpolate highly aliased axes correctly. Synthetic and real data examples are provided to examine the performance of the proposed interpolation scheme.