Problem $4(30$ points$)$

Given the soil profile, solve the $1-$D flow problem for the following:

$($a$)$ Hydraulic gradient in the clay layer $($iclay$)$

$($b$)$ Pore$-$water pressure at Point A $(u_A{)}_{?}$

$($c$)$ Pore$-$water pressure at Point $B(u_B)$

$($d$)$ Hydraulic gradient in the silt layer $(i_{\text{s}\text{i}\text{l}\text{t}})$

$($e$)$ Location of groundwater table $($i$.$e$.,$ depth below ground surface$)$

$($f$)$ Flow rate in the clay layer $(q_{\text{c}\text{l}\text{a}\text{y}}$ in units of $\frac{m^3}{d}ay-10,000m^2)$

Note: The datum is located at the interface of gravel and clay layers.