Three-dimensional sparse seismic deconvolution based on Q attenuation model

We introduce a multichannel method to recover 3D reflectivity from 3D seismic data. The algorithm is formulated so that it promotes sparsity of the solution and also fits the earth Q-model of attenuation and dispersion propagation effects of reflected waves. In addition, the algorithm also takes into consideration spatial correlation between neighboring traces. These features, together with low computational cost, make the proposed method a good solution for the emerging need to process large volumes of 3D seismic data. The robustness of the proposed technique compared to single-channel recovery is demonstrated by synthetic and real data examples.