  The dynamics of the wetting front are considered during the imbibition of a
fluid into a porous substrate through a circular drawing area. A mathematical
model of this process, assuming incompressible Darcy flow, is presented, before
the full finite element scheme for solving this set of equations is given
allowing the reader to reproduce all presented results. Asymptotic analysis is
performed revealing contradictions between the assumptions of Darcy's equation
and the solutions it produces, along with qualitative results for the behaviour
of the wetting front and macroscopic contact angles. Velocity and pressure
distributions across the wetted region are presented, as well as plots of the
evolution of the wetting front and parameters with discussion.
