Problem $6$ Consider the vertical cross$-$section with four wells A$,$ B$,$ C$,$ and D shown in Figure $4.$ The

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

conductivity tests on core samples from locations $E$ and $F$ are listed in Table $2$ below.

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Figure $4.$ Site of interest for Problem $6.$

Table $2$

$($a$)$ Calculate the horizontal flow velocity $v_x$ in the upper sand layer.

$($b$)$ Assuming this horizontal flow velocity applies over the full saturated height of the upper sand,

estimate the rate of groundwater seepage $q_x[\frac{L^3}{T}]$ from the upper sand to the river, per meter of

the river $($a strip $1m$ thick in the $y$ direction into the page$).$

$($c$)$ Calculate the estimated horizontal flow velocity $v_x$ in the lower sand layer.

$($d$)$ Assuming this flow velocity applies over the full height of the lower sand, estimate the rate of

groundwater seepage $q_x[\frac{L^3}{T}]$ from the lower sand to the river, per meter of the river $($a strip $1m$

thick in the $y$ direction into the page$).$

$($e$)$ Calculate the estimated vertical flow velocity $v_z$ through the silty clay confining layer.