The types of initial and boundary conditions which may be involved in the flow of water through an unsaturated profile to a water table are discussed. A numerical solution of the flow equation is then outlined and its use in the one-dimensional drainage of a homogeneous profile and in ponded infiltration into a draining profile detailed. Several characteristics of the drainage of deep profiles are discussed together with numerical solutions for the drainage of a stratified profile and infiltration into a draining profile.

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