Problem $4$:

Find the drawdown in the well penetrating fully an unconfined aquifer. The hydraulic conductivity

of the aquifer is $25$ m$/$day$.$ The well has a diameter of $0\mathrm{.}25$ m and the flow through the well is

maintained at $440$ m$^(3)/$day$.$ A reservoir is located at a distance of $74$ m from the well. The water

surface elevation of the reservoir is $1086$ m $.$ The bottom of the aquifer has an elevation of $1072$ m $.$

The ground surface elevation is $1089\mathrm{.}7$ m $.[10]$

Hint: The reservoir represents a constant head boundary $($same as stream$).$ Need to use an image

well and must use the proper equation. Also, r$\_(1)$ and r$\_(2)$ must be calculated from the center of the

real and image well to the point of interest, respectively. The point of interest in this case is the

well itself. Remember to find drawdown at the well, the point of interest can only be at the

periphery of well where ground water flow equation is applicable.