Most techniques used to analyse the flow of water to horizontal tile d
rains fail to separate the external boundary of the water table from t
he internal boundary of the tile drain. This is the first of a series
of three papers which consider the correct formulation of the steady s
tate and time-variant flow to tile drains. This paper is concerned wit
h steady state conditions and provides important information about the
correct formulation of tile drainage problems, especially the fact th
at the drain is an internal boundary. Field experiments are quoted whi
ch demonstrate the separation of the tile drains from the water table.
A finite difference numerical solution to the full differential equat
ion is developed with the drain represented as an internal boundary. C
omparisons are made between conventional methods of analysis and the n
umerical solution; reference is also made to layered and anisotropic s
oils and surcharge pressures in the drains.