Viscoacoustic One-Way Fourier Finite Difference Propagator Based on Time Fractional Viscoacoustic Wave Equation

The viscoacoustic properties of the subsurface medium can lead to significant loss of amplitude energy and image quality. Conventional depth migration based on the acoustic wave equation is no longer sufficient to achieve a true reconstruction of the subsurface amplitude. To address this issue, we introduce viscoacoustic migration to fully capture the viscoacoustic characteristics of the subsurface medium. Our article presents a one-way Fourier finite difference (FFD) depth migration method based on the time-fractural viscoacoustic wave equation, which we refer to as one-way viscoacoustic FFD depth migration. Numerical experiments using models such as a dipping layer, BP gas reservoir, and salt models demonstrate the effectiveness of our proposed method in improving the resolution of migration. The application of real seismic data also shows the practical value of our proposed method in restoring deep-stratum information. Overall, our proposed method considers the real information of the medium, leading to improved migration results compared to conventional methods and further advancing the field of one-way wave migration theory.