sed to alleviate the effect of dispersion and attenuation and hence enhance the seismic resolution. The stable and efficient approach of inverse Q filtering based on wave field continuation theory can perform the amplitude compensation and phase correction simultaneously. The instability of conventional full inverse Q filtering is overcome through adding a stabilization factor to wave field continuation. It will get a better result if seismic data have a high signal-to-noise ratio (SNR). Because the inverse Q filtering will inevitably amplify the noise when compensating the signal, it will likely lower the SNR and resolution of seismic data if the seismic data have a low SNR. To solve this problem, we propose an approach of inverse Q filtering considering time-frequency domain SNR. This method compensates the amplitude just in the frequency band which has a higher SNR, meanwhile, can avoid amplifying the noise contained in the frequency band which has a lower SNR. Synthetic and real data examples demonstrate the correctness and effectiveness of the proposed method.


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