Problem $1$

A river and a canal run parallel to each other $L=1980ft$ apart, as shown. An unconfined aquifer with a hydraulic conductivity of $86f\frac{t}{d}$ is located between them. The water depth in the river is $1\mathrm{.}59ft$ lower than in the canal, where the depth is $22\mathrm{.}36ft.$

a$)$ Assuming no recharge, find the discharge per unit width into the river and the water table elevation midway between the river and the canal.

b$)$ If there is recharge of $w=0\mathrm{.}004f\frac{t}{d},$ draw the new water table, flow lines and groundwater divide on the figure and calculate the distance to the groundwater divide $d,$ and the maximum height of water hmax.

Assume the bottom of the aquifer as your zero elevation datum.