Enhanced irregular seismic interpolation using approximate shrinkage operator and Fourier redundancy

• Based on Taylor approximation a shrinkage operator is proposed in IST interpolation algorithm.
• Redundant Fourier transform is employed to enhance the reconstruction performance.
• 3D real data and 5D synthetic data examples demonstrate the superiority of the proposed method.

In this paper, we propose an approximate shrinkage operator in the iterative shrinkage–thresholding (IST) algorithm to interpolate the nonuniformly sampled seismic traces. The key to designing the approximate shrinkage operator is the use of Taylor series. The redundant Fourier transform is employed to enhance the reconstruction performance, inspired by the theory of spectral compressive sensing. Numerical experiments using 3D real data and 5D synthetic data demonstrate the superiority of the proposed method.