The attenuation compensation of seismic wave energy in time-frequency domain based on the continuous wavelet transform

In order to improve the resolution of seismic data, the compensation of stratigraphic absorption is an important part of seismic data processing. As the earth filtering operator is a function of time, frequency and quality factor, so we can also compensate the attenuation in the time-frequency domain. Compared with the fixed-windows short time Fourier transform (STFT) and Gabor transform, wavelet transform has better ability of local time-frequency analysis for analyzing the non-stationary seismic signal. In this paper, we compensate the attenuation of seismic energy in time-fequency domain by using the time-frequency continuous wavelet transform (TFCWT) and the earth filtering operator based on the Kolsky attenuation model. The results of theorical model and real data trials show that the seismic wave energy compensation method based on the TFCWT can compensate the attenuation of seismic signal and improve the resolution of seismic data better than the method in wavelet domain (time-scale domain).