Absorption compensation via structure tensor regularization multichannel inversion

Absorption compensation is a process involving the exponential amplification of reflection amplitudes. This process amplifies the seismic signal and noise, thereby substantially reducing the signal-to-noise ratio of seismic data. Therefore, this paper proposes a multichannel inversion absorption compensation method based on structure tensor regularization. First, the structure tensor is utilized to extract the spatial inclination of seismic signals, and the spatial prediction filter is designed along the inclination direction. The spatial prediction filter is then introduced into the regularization condition of multichannel inversion absorption compensation, and the absorption compensation is realized under the framework of multichannel inversion theory. The spatial predictability of seismic signals is also introduced into the objective function of absorption compensation inversion. Thus, the inversion system can effectively suppress the noise amplification effect during absorption compensation and improve the recovery accuracy of high-frequency signals. Synthetic and field data tests are conducted to demonstrate the accuracy and effectiveness of the proposed method.