基于曲波域的软硬阈值折中地震信号去噪

Random Noise Attenuation Based on Soft and Hard Threshold Compromise in Curvelet Domain

噪声衰减是地震资料处理中的关键步骤之一。根据曲波变换对于光滑且二阶连续可微函数所具有的最优逼近性能,给出了曲波域随机噪声衰减的软硬阈值折中方法。基于模型讨论了有效信号和随机噪声在曲波域不同方向上的分布差异;最后,将该方法应用于实际地震资料处理。结果表明,本文方法不仅有效地压制了地震资料中的随机噪声,提高了地震资料的信噪比,而且较好地保留了地震数据中的有效信号。

The random noise attenuation is a very important step in seismic data processing.According to the optimal approximation property of the second curvelet transform about smooth and second-order continuous differentiable singular function.A new threshold method of random noise attenuation is proposed based on curvelet transform.With regard to the model,the difference in curvelet domain between signal and noise is discussed and the seismic data are processed based on the proposed method.The results show that this method can not only attenuate the random noise and enhance signal to noise ratio in seismic data,but also protect the integrity of seismic data from damage.