Exact theory of flow into a partially penetrating well


  • Don Kirkham


An exact theory is presented for the flow into a well that partially penetrates a confined aquifer. An exact expression for the potential function is obtained, and from it an exact expression for the well flux is derived. Although the formulas obtained are complex, numerical calculations have been carried out for several flow geometries. Two flow nets have been prepared, one for a well of zero per cent penetration of the aquifer; the other, 60 per cent.