Darcy's law is a simple linear relationship between the pressure gradient imposed at the ends of a cylinder and the fluid flow passing through this cylinder.
| $\phi\vec{v} = -\displaystyle{\frac{k_{0}}{\eta}\vec{\nabla}p$ | (1) |
where $\phi\times\vec{v}$ is the fluid flow, $\eta$ is the dynamic viscosity of the fluid, $k_{0}$ is the static permeability, an intrinsic parameter of the material,