Part B$.$ A sheet pile wall supporting $6$ m of water is shown in the figure below.

$($a$)$ Draw the flow net. $($You need to set a scale for your drawing$)$

$($b$)$ Determine the flow rate if the average permeability of the sand layer is $0\mathrm{.}00abc\frac{m}{s}.$

$($c$)$ Determine the pore water pressure distributions on the upstream and downstream faces of the sheet pile wall. To get this pressure distribution you can calculate the the pore pressure values at the points where the flowlines intersect the sheet pile.

$($d$)$ Would piping occur if void ratio, $e=0\mathrm{.}55$ and the specific gravity, $G_s=2\mathrm{.}65?$

$i_{cr}=\frac{{}^{\text{'}}}{{}_w}=(\frac{G_s-1}{1+e})\frac{{}_w}{{}_w}=\frac{G_s-1}{1+e}$

$k=0\mathrm{.}0080$