High-frequency compensation for seismic data based on adaptive generalized S transform

The low-pass filtering effect of the Earth results in the absorption and attenuation of the high-frequency components of seismic signals by the stratum during propagation. Hence, seismic data have low resolution. Considering the limitations of traditional high-frequency compensation methods, this paper presents a new method based on adaptive generalized S transform. This method is based on the study of frequency spectrum attenuation law of seismic signals, and the Gauss window function of adaptive generalized S transform is used to fit the attenuation trend of seismic signals to seek the optimal Gauss window function. The amplitude spectrum compensation function constructed using the optimal Gauss window function is used to modify the time-frequency spectrum of the adaptive generalized S transform of seismic signals and reconstruct seismic signals to compensate for high-frequency attenuation. Practical data processing results show that the method can compensate for the high-frequency components that are absorbed and attenuated by the stratum, thereby effectively improving the resolution and quality of seismic data.