Pressure-dependent Darcy drainage

Suppose a porous layer has thickness $h(p)$ and permeability of a porous medium $k(p)$, and the pressure drop $p$ acts across its thickness. Darcy's law gives the drainage volume fluxIf $k/h=K{p}^{-\beta }$, then $w=(K/\mu )p^{1-\beta }$.