Figure shows a soil profile at a certain site including a $\backslash (\backslash$mathrm$\{$y$\}=9\mathrm{.}5\backslash$mathrm$\{$~m$\}\backslash )$ thick stratum of saturated, normally consolidated clay $($unit weight $\backslash (18\mathrm{.}2\backslash$mathrm$\{$kN$\}/\backslash$mathrm$\{$m$\}^\{3\}\backslash ))$ overlying an impermeable rock formation. The groundwater location is not known; however, a pore pressure measurement device $($piezometer$)$ has been installed in the middle of the clay and reads $37\mathrm{.}0$ kPa $.$ A settlement plate has also been installed to measure the deformation of the clay layer $($doesn$\text{'}$t include any deformation of the overlying materials$).(\backslash (\backslash$mathrm$\{$G$\}\_\{\backslash$mathrm$\{$s$\}\}=2\mathrm{.}65\backslash ))$

a$)\backslash (\backslash$mathrm$\{$A$\}$ x$=2\mathrm{.}2\backslash$mathrm$\{$~m$\}\backslash )$ deep layer of sand $($unit weight $\backslash (19\mathrm{.}1\backslash$mathrm$\{$kN$\}/\backslash$mathrm$\{$m$\}^\{3\}\backslash ))$ is placed on the ground surface over a large area as shown in the figure. At $230$ days after the fill is placed, the piezometer reads $58\mathrm{.}01$ kPa of pore pressure, and the settlement plate has moved downward by $0\mathrm{.}59$ m $.$ What is the $\backslash (\backslash$mathrm$\{$c$\}\_\{\backslash$mathrm$\{$v$\}\}\backslash )$ for the clay $($in $\backslash (\backslash$mathrm$\{$m$\}^\{2\}/\backslash )$ day$)?$

b$)$ Based on these readings at $230$ days, what total settlement in metre can be expected at the end of consolidation?

A correct answer is $0\mathrm{.}09025,$ which can be typed in as follows:

$0\mathrm{.}09025$

A correct answer is $1\mathrm{.}0926,$ which can be typed in as follows:

$1\mathrm{.}0926$

A correct answer is $0\mathrm{.}831,$ which can be typed in as follows:

$0\mathrm{.}831$

A correct answer is $0\mathrm{.}431,$ which can be typed in as follows: