A $1\mathrm{.}0$ m square, $0\mathrm{.}5$ m deep footing carries a downward service load of $200$ kN$.$ It is underlain by an over$-$consolidated clay with the following engineering properties: Cc$=0\mathrm{.}20,$ Cr $=0\mathrm{.}05,$ e$0=0\mathrm{.}7,$ OCR $=8$ and g$=15\mathrm{.}0$ kN$/$m$3$ above the groundwater table and $16\mathrm{.}0$ kN$/$m$3$ below. The groundwater table is at a depth of $1\mathrm{.}0$ m below the ground surface. Determine the total settlement of this footing.