AN EFFICIENT METHOD TO MODEL SEISMIC　PROPAGATION IN DIFFUSIVE-VISCOUS MEDIA　WITH DIPPING INTERFACES

摘要

Partial wavefield that is not be interfered by other waves plays a significant role in seismic exploration. In many applications, geophysicists are only interested in partial wavefields. In this work, we first derive an efficient workflow to simulate partial wavefields in the diffusive-viscous media with the presence of dipping layers. It can efficiently calculate various partial wavefields for investigating the seismic exploration based on the diffusive-viscous theory. Especially, the reflection/transmission coefficients in the dip layered media are studied through the coordinate transformation and the plane wave theory. Then, a fast integral method is used to synthesize the wavefields from a point source, and the best integral path is chosen to improve the accuracy and the computational efficiency. By choosing the appropriate sign of the complex slowness, the instability phenomenon in the computation process can be avoided. The analysis and numerical examples show that the proposed method is stable and efficient.