Conclusion

We have proposed a new formulation of the seislet transform, a novel approach to sparse seismic data. In our approach, we use an RT volume to construct multiscale prediction and update operators for the seislet transform. This proposed approach is computationally more efficient and better preserves geologically meaningful discontinuities than the original formulation of the seislet transform in reconstructing the raw seismic data. It also has excellent performance in obtaining the sparse representation of seismic data. Synthetic and field data examples show that the proposed new formulation is efficient and effective in data reconstruction and noise attenuation.