Based on the principles of steerable pyramid decomposition in multi-scale & multi- direction, the random
noise attenuation method on the basis of local Laplace probability density model and maximum posteriori
probability estimation was proposed. The method can suppress most random noise, but introduces the
distortion and residual noise in local signals. Since the mean filter can smooth maps, it can eliminate the
signal distortion and suppress the residual noise. So we jointly applied the two methods to attenuate
random noise. Numerical simulation and practical application results show that the new method can
effectively suppress random noise and improve the signal-to-noise ratio of seismic data.