A novel method for simultaneous seismic data interpolation and noise removal based on the L0 norm constraint
Wang, B., Li, H. and Chen, X., 2015. A novel method for simultaneous seismic data interpolation and noise removal based on the Lo norm constraint. Journal of Seismic Exploration, 24: 187-204. The Projection Onto Convex Sets (POCS) method is an efficient iterative method for seismic data interpolation. In each iteration, observed seismic data is inserted into the updated solution. If observed seismic data contains some random noise, the noisy data would be inserted into the final solution and it reduces the Signal to Noise Ratio (SNR) of the interpolated seismic data. Weighted POCS method can weaken the noise effects because it uses a weight factor to scale the observed seismic data, then fewer noisy data is inserted into the updated solution, but it still inserts some random noise and the final performance is unsatisfactory. In this paper; a novel method is proposed by combining the advantages of the weighted POCS method and the Iterative Hard Threshold (IHT) method: the weighted POCS method used for interpolation and the IHT method used for random noise elimination. The novel method can be used for simultaneous seismic data interpolation and random noise removal, and its superior performances are demonstrated on synthetic and real datasets.
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