PROBLEM $3$:

Part a$.)$ A $12-$inch diameter well is drilled in a confined aquifer that has a thickness of $30$ feet and a hydraulic conductivity of $0\mathrm{.}02f\frac{t}{sec}.$ The water table is at $80$ feet. The radius of influence of the well is $100$ feet and the flow in the well is $(Q_{\text{W}\text{e}\text{l}\text{l}})$ is $4$ cubic feet per second $($cfs$).$

What is the drawdown of the well $10$ feet away?

What is the transmissivity of the aquifer?

Part b$.)$ Shown below is a schematic of one$-$dimensional horizontal flow through an unconfined aquifer consisting of two different types of soil. The water flows from drainage ditch $"A"$ at $x=0$ to ditch $"$B$"$ at $x=L1+L2.$ You are given the following data: $HA=40m,HB=20m,L1=300m,L2=400m,K1=50\frac{m}{?}$ day, $K2=10\frac{m}{?}$ day.

Calculate the water table elevation at the interface between the two layers.

Calculate $Q^{**}--$ the flow per unit width into ditch B