Coupling Biot wave equation with de la Cruz and Spanos boundary conditions for multi-layered porous systems

A large portion of the attenuation that arises in heterogeneous porous media is associated to the mesoscopic fluid flows resulting from energy partitioning at discontinuities. Traditional approaches have quantified these effects considering the Open Pore and the Natural Boundary Conditions. In the present work, a formulation that couples a more thorough prescription of boundary conditions with Biot poroelastic theory by means of domain decomposition techniques is proposed. Additionally, a set of boundary equations for the simulation of seismic waves in unbounded poroelastic media is developed. The two sets are given by systems of PDE�s that provide a solution for particle velocities and pressures. These formulations provide a different approach for assessing the attenuation associated to mesoscopic flows for multilayered porous systems.