The 3-D Global Prestack Seismic Inversion in the Time-Frequency Mixed Domain

Traditional seismic inversion has the problems of low lateral resolution and poor anti-noise performance. To address these challenges, the advantages of inversion methods in time and frequency domains are combined; the Lp norm that can preserve more sparsity information is introduced into seismic inversion. Meanwhile, multitrace simultaneous inversion has become the mainstream of inversion methods, which can effectively improve the quality of prestack seismic inversion. However, traditional multitrace simultaneous inversion methods have high computational costs and are difficult to obtain the 3-D result. Ensuring spatial continuity of inversion results is a challenging task. To address this issue, a 3-D global prestack inversion method in the time-frequency mixed domain is proposed. The proposed method adds a frequency-domain fidelity constraint the objective function of traditional time-domain inversion to improve the resolution of the inversion results. To improve the computational efficiency of multitrace simultaneous inversion, the anisotropic total variation (TV) regularization method under Lp norm constraint is employed. In addition, the 2-D Sylvester equation is extended to 3-D space to enable 3-D global inversion. The method not only improves computational efficiency but also ensures spatial continuity of the results. The stability and feasibility of the proposed method have been demonstrated through its application on both the 3-D overthrust model and field prestack seismic data.

Automated summary

Traditional seismic inversion suffers from low lateral resolution and poor anti-noise performance. To address these issues, a combination of time and frequency domain inversion methods is used, along with introducing the Lp norm for preserving sparsity information. Multitrace simultaneous inversion is adopted as the mainstream method, but its high computational costs and difficulty in obtaining 3-D results pose challenges. A proposed 3-D global prestack inversion method in the time-frequency mixed domain improves resolution and computational efficiency, while ensuring spatial continuity.