The time$-$settlement data from $1-$D consolidation test under two$-$way drainage for a pressure range of $100-200$kPa is given below. The initial thickness of the sample is under a consolidation pressure of $100$ kPa is $20$ mm and the water content is $40\%.$ The specific gravity is $2\mathrm{.}7.$ i$)$ Determine $c_v,S_i$ and $S_{100}$ by root t and $logt$ method. ii$)$ Compare and discuss results obtained in $($i$)$ and, $($iii$)$ determine $a_v,m_v$ and k $.[15$ marks$]$

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