Based on the assumption proposed by Dupuit’s theory, the velocity of flow is proportional to the tangent of the hydraulic agent instead of its sine.

The parabolic depression formed when water is pumped from the aquifer through well can be called as cone of depression or the drawdown surface.

If the well is open, radial flow takes place all around the well and there is no flow from the bottom of the well.

The discharge of spherical flow qs is given by, qs/q =2.3(r/b) log10 1000

A partially penetrating artesian well is the one in which the well screen does not penetrate to the full depth of the confined aquifer. Such wells extend only partly through the water bearing stratum.

Since the flow of water is not horizontal near wall and the flow no longer remains laminar. Thus, Darcy’s law equation is not valid near the well face.

The analysis of the radial flow of water to a well was originally proposed by Dupuit’s theory.

As the velocity of water is larger at the base, the width of base widens up and its diameter increases.

The theory proposed by Dupuit’s on radial flow was modified by Thiem in 1906.

Volume of water entering the well, when the head recuperates by dh is given by the equation: dV=Adh