REQUIRED PROJECT #$2$

Consider the aquifer system shown below in plan and cross$-$sectional view. The well is $300m$

from a linear no$-$flow boundary and has a $1ft$ diameter. The aquifer parameters are uncertain and

follow normal distributions with means $T=75,000$ gallons per day per foot and $S=0\mathrm{.}0001,$ and

standard deviation for $T=5,000$ gallons per day per foot and for $S=0\mathrm{.}00002.$ The aquifer thickness

is $10m$ and the static potentiometric surface is $15m$ above the bottom$-$confining layer. Find the

maximum pumping rate $Q$ in liters$/$sec with which you can exploit this aquifer, such that the

aquifer remains under pressure $($confined$)$ after $12$ hours of constant pumping, if you are willing

to accept a level of reliability in your design of $99\mathrm{.}9\%,99\%,95\%,90\%$ and $80\%.$ Plot the Q vs$.$

reliability graph and comment on it$.$

Figure $2$: Plan and cross$-$section of pumping well