Problem $3$: The surcharge fill is placed on the ground surface as shown in the figure.

$250$ days after the fill was placed, the piezometer reads a pore pressure of $70$kPa. Field monitoring indicating that the foundation settlement was $0\mathrm{.}3m.$ calculate:

a$)$ Effective stresses at the middle of clay layer after the fill was placed $(t=0$ days$),$ and at $t=250$ days.

b$)$ what is the coefficient of consolidation, $C_v,$ for the clay?

c$)$ Based on these reading at $250$ days, what is the total settlement can be expected at the end of primary consolidation?