An inverse Q filtering approach based on a varying stabilization factor

摘要

The stable approach of inverse Q filtering based on wavefield continuation theory can simultaneously perform amplitude compensation and phase correction. The instability of conventional full inverse Q filtering is overcome through adding a stabilization factor to the wavefield continuation, and a good application effect is achieved. However, the method is likely to lead to noise amplification while compensating for the effective signal of the seismic data, resulting in the decrease of the signal-to-noise ratio (SNR) of seismic data. This phenomenon is due to the constant stabilization factor being added to the inverse Q filtering method. This paper presents an inverse Q filtering method based on a varying stabilization factor, which is a function of the propagation distance of a seismic wave, frequency of seismic data, and quality factor Q. This method can avoid the amplification of noise energy which can be caused by using the constant stabilization factor. The results of the synthetic and real seismic data show that compared with the compensation effect of the conventional inverse Q filtering, this method can avoid the amplification of the shallow and middle noise energy of seismic data, and effectively improves the SNR and resolution of the seismic data.