$8\mathrm{.}12$ A $1\mathrm{.}0m$ square, $0\mathrm{.}5m$ deep footing carries a downward service load of $200kN.$ It is underlain by an overconsolidated clay with the following engineering properties: $C_c=0\mathrm{.}20,C_r=0\mathrm{.}05,e_0=0\mathrm{.}7,$OCR$=8$ and $=15\mathrm{.}0k\frac{N}{m^3}$ above the groundwater table and $16\mathrm{.}0k\frac{N}{m^3}$ below. The groundwater table is at a depth of $1\mathrm{.}0m$ below the ground surface. Determine the total settlement of this footing.