A new absorbing boundary condition for diffusive-viscous wave equation

We derive a new governing equation of an absorbing boundary reflection for the diffusive-viscous wave (DVW) equation which is used to describe seismic wave propagation in fluid-saturated rocks, the basic idea is to make the seismic waves exponentially attenuate with propagation distance by adding an absorbing layer around the boundary of computational domain, thus achieves the effect of absorbing boundary reflection. Numerical modeling results are given, which show significant absorption and demonstrate the effectiveness of this governing equation.