PROBLEM $1$: A consolidation test has been carried out on half of a clay stratum with thickness $H.$ The initial void ratio is e$\_0$ and it presents a saturated unit weight of V$\_$sat. The results of the laboratory test are shown in tabulated form. Calculate the settlement due to consolidation if a surcharge of ${}^{\text{'}}$ is applied at ground level.

Laboratory results:

$\backslash$table$[[$Stress$,$Void ratio$],[1,$e$1],[2,$e$2],[H(m),$eo$,\backslash$table$[[$V$\_$sat$],[($kN$/],[($:$m^3\}$