The seismic random noise attenuation method based on enhanced bandelet transform

• We propose an enhanced bandelet transform.
• Nonsubsampled contourlet transform is adopted in this enhanced bandelet transform.
• A seismic random noise attenuation method based on enhanced bandelet transform is proposed.
• The synthetic-data and real-data example show the performance of the proposed method.

The 2D separable wavelet transform used in bandelet transform, has low angular resolution and suffers from aliasing. We propose an enhanced bandelet transform, which replaces the 2D separable wavelet transform used in bandelet transform with nonsubsampled contourlet transform (NSCT, NSCT can decompose 2D signal to a series of bandpass directional components). Based on the enhanced bandelet transform, we developed a new seismic random noise attenuation method. The method is applied to synthetic seismic data and field data. The numerical results show that our method can outperform the random noise attenuation method based on bandelet transform.