Q$1.$

$($b$)$

The Figure below represents the flow beneath a sheet piling wall. The coefficient of

permeability $(k)$ is $1\mathrm{.}2{10}^{-4}\frac{m}{s},$ void ratio $($e$)$ is $1\mathrm{.}2,$ specific gravity $(G_s)$ of soil is

$2\mathrm{.}65$ and unit weight of water is $9\mathrm{.}81k\frac{N}{m^3}.$

Determine the following:

$($i$)$ total head at $CD$;

$($ii$)$ total head, elevation head and pressure head through Point P;

$($iii$)$ pore water pressure at Point $P$;

$($iv$)$ total head, elevation head and pressure head through Point X;

$($v$)$ pore water pressure at Point $x$;

$($vi$)$ the flow per meter width $(\frac{m^3}{m})$ underneath the sheet pile after $1$ hour;

$($vii$)$ critical hydraulic gradient $($ic$)$

$($viii$)$ the maximum exit hydraulic gradient at Point E; and

$($ix$)$ the factor of safety against piping.