A fully penetrating well pumps from a confined aquifer of thickness 20 m and K = 10 m/day....

A fully penetrating well pumps from a confined aquifer of thickness 20 m and K = 10 m/day. The radius of the well is 0.25 m and the recorded pump rate in the well is 100 m3/day at steady state. Assume that the radius of influence of the well is 1250 m. Compute the drawdown at the well if it is located 100 m from an impermeable boundary (see Problem).

Problem

A well at a distance d from an impermeable boundary pumps at a flow rate Q. The head and any point (x, y)is given by the following equation:

where C is a constant, r1 is the straight-line distance from the well to the point (x, y), and r2 is the distance from the image well to the point (x, y). The y-axis lies along the impermeable boundary. Use Darcy’s law to show that the flow across the boundary (y-axis) is indeed zero.