Poroelastic flow across a permeable interface: a Hamilton's principle approach and its finite element implementation

We consider fluid flow across a permeable interface within a deformable porous medium. We use mixture theory. The mixture’s constituents are assumed to be incompressible in their pure form. We use Hamilton’s principle to obtain the governing equations, and we propose a corresponding finite element implementation. The filtration velocity and the pore pressure are allowed to be discontinuous across the interface while some control of these discontinuities is built into the interfacial constitutive