Capillary imbibition (source code)

= Capillary imbibition
{title2=$\phi\dot z=k\Delta P/(\mu z)$}

= Imbibition
{synonym}

A wetting liquid penetrates pore space under a pressure difference that includes capillary suction. With a planar front, fixed pressure drop and negligible gravity/inertia, <Darcy's law> and pore-volume storage give $z\propto t^{1/2}$. The front pressure must be defined relative to the gas phase consistently; adding a positive suction to the inlet pressure is different from prescribing a positive liquid front pressure.