Laminar poroelastic media flow

The continuity and momentum equations of laminar flow through poroelastic m edia and the sufficient boundary conditions are found in the present paper. The land subsidence equation, Brinkman equation, Darcy's law, and so forth , can be recovered by the simplified governing equations of the present mod el. A water wave passing over a poroelastic bed is taken as an example of a pplication of this laminar poroelastic media flaw model. It is found from t he example that, besides the two kinds of longitudinal waves and one kind o f transverse wave inside the porous media that the conventional poroelastic model can provide, a second kind of transverse wave is obtained by this mo del. It is also found that the tangential stress and flow velocity inside t he porous bed, according to the laminar poroelastic media flow model, are v ery different from those obtained by the conventional potential poroelastic media flow model. Finally, the limiting rigid bed solution of the applicat ion example, which is useful for the experimental verifications, is also gi ven in this study.