PML absorbing boundary condition for seismic numerical modeling by convolutional differentiator in fluid-saturated porous media

The perfectly matched layer (PML) was first introduced by Berenger as an absorbing boundary condition for electromagnetic wave propagation. In this article, a method is developed to extend the PML to simulating seismic wave propagation in fluid-saturated porous medium. This nonphysical boundary is used at the computational edge of a Forsyte polynomial convolutional differentiator (FPCD) algorithm as an absorbing boundary condition to truncate unbounded media. The incorporation of PML in Biot’s equations is given. Numerical results show that the PML absorbing boundary condition attenuates the outgoing waves effectively and eliminates the reflections adequately.