QUESTION $3$

a$.$ A $1-$m diameter well penetrates vertically through a confined aquifer $30m$ thick. When the well is pumped at $113\frac{m^3}{h},$ the drawdown in a well $15m$ away is $1\mathrm{.}8m,$ in another well $50m$ away, it is $0\mathrm{.}5m.$

i$.$ What is the approximate head in the pumped well for steady state conditions and what is the approximate drawdown in the well.

ii$.$ Calculate the transmissivity of the aquifer and the radius of influence of the pumping well. Take the initial piezometric level as $40m$ above the datum.

$(15$ marks$)$