Question $4(20$ marks$)$:

A single, $20$ cm diameter, well draws from a nearly horizontal, unconfined aquifer consisting

principally of sandy soils $($porosity of $0\mathrm{.}25,$ saturated hydraulic conductivity $10\frac{m}{d}).$ Without

the well the aquifer is $2$ m below the ground surface and has a saturated thickness of $15$ m below

this. Below the sandy soil is a clay till with a saturated hydraulic conductivity of ${10}^{-6}c\frac{m}{s}.$

a$)(10$ marks$)$ What is the maximum discharge $($in $\frac{m^3}{?}$ day$)$ that can be drawn from the

well if the maximum allowable drawdown in the well is $7\mathrm{.}5$ m $?$

b$)(10$ marks$)$ For the discharge determined in part a$,$ if source water protection

requirements are to be put in place that limit the type of development within a $1$ year

time of travel of the well, what area would this apply to$?$