In random seismic noise attenuation, when the noise energy is higher than or close to a signal, it is difficult to distinguish the signal from the noise. This random noise is relatively strong compared to the signal and is called strong random noise. We have developed a deep learning framework to recover the signal from the strong random noise. The framework is based on a residual learning network and feedback connection and is called the feedback residual network. The residual network (ResNet) suppresses random noise through residual fitting and improves the network’s training efficiency. The feedback connection allows the framework to process data in iterations. In each iteration, the feedback connection proportionally combines the input and output of the ResNet to reconstruct a new input with a lower noise level. This enhances denoising performance by asymptotically decreasing the input noise level and retrieving the remaining signals from the estimated noise, thereby reducing the difficulty of strong random noise attenuation. We terminate the feedback iterations according to the energy change of the estimated noise in each iteration. Synthetic and field examples demonstrate that our network can effectively attenuate the strong random noise.

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