Studying deformation in a porous structure (Brinkman equation)

i am working on studying stress and deformation in porous media as fluid flows through it ... i tried using solid mechanics, but it considers the porous structure as impenetrable solid. And if i use proroelasticity, it uses Darcy's law, but the flow inside the porous structure is governed by Brinkman eqaution. Is there a way around this problem?

- JD