$(30$pts$)$ Consider the vertical cross$-$section with four wells A$,$ B$,$ C$,$ & D shown in the figure below. The

hydraulic heads at the wells, field hydraulic conductivity tests in each well, and laboratory hydraulic conductivity

test on core samples from locations E and F are listed in the Table below.

a$)$ Calculate the estimated horizontal specific discharge $(q_x)$ in the upper sand layer.

b$)$ Assuming this specific discharge applies over the full saturated height of the upper sand, estimate the rate of

groundwater seepage $\frac{t^3}{T}$ from the upper sand to the stream, per meter of stream $($a strip $1$ m thick in the $y-$

direction into the page$).$

c$)$ Calculate the estimated horizontal specific discharge $(q_x)$ in the lower sand layer.

d$)$ Assuming this specific discharge applies over the full height of the lower sand, estimate the rate of groundwater

discharge $\frac{L^3}{T}$ from the lower sand to the stream, per meter of stream $($a strip $1$ m thick in the $y-$direction

into the page$).$

e$)$ Calculate the estimated vertical specific discharge $(q_z)$ through the silty clay confining layer.