Task $2$: Problem in Context $($Consolidation Test$)$

$(10\%$ marks$)$

A $8$ m thick clay layer is resting over a $2$ m thick sand layer and is submerged. A fill of $3$ m thick sand with unit weight of $20k\frac{N}{m^3}$ is placed above the clay layer to accelerate the rate of consolidation of the clay layer. Coefficient of consolidation of clay is $9{10}^{-2}\frac{m^2}{?}$ year and coefficient of volume compressibility of clay is $2\mathrm{.}210-4\frac{m^2}{k}N.$ Assume Taylor's relation between time factor and average degree of consolidation. How much will be the settlement $($in mm$,$ round off to two decimal places$)$ of the clay layer, $96$ years after the Construction of the fill?Please solve the full Question