Modeling the propagation of diffusive-viscous waves using Flux Corrected Transport-Finite Difference Method

Seismic numerical modeling is a valuable tool for seismic interpretation and an essential part of seismic inversion algorithms. The aim is to predict the seismogram, given an assumed structure of the subsurface. Real subsurface structure is often multi-phase media because of fluid saturation, so the commonly used models such as acoustic media, elastic media can´t characterize the information of real subsurface structure. The diffusive-viscous model can be used to describe seismic wave propagation in fluid-saturated rocks, and it is also used to investigate the relationship between the frequency dependence of reflections and the fluid saturation in a porous rock. In this paper we simulate the propagation of diffusive-viscous waves in fluid-saturated media using the Flux Corrected Transport-Finite Difference Method (FCT-FDM). The numerical results show that the propagating waves in fluid-saturated media greatly attenuate by comparing with those of acoustic case.