E$)$ Take Home Exercise

In an oedometer test on a specimen of saturated clay $(($:$G_s=2\mathrm{.}72\}$ the applied pressure was increased from $107$ to $214k\frac{N}{m^2}$ and the following compression readings recorded:

$\backslash$table$[[$Time $(min),0,\frac{1}{4},\frac{1}{2},1,2\frac{1}{4},4,6\frac{1}{4},9,16],[$Gauge $(mm),7\mathrm{.}82,7\mathrm{.}42,7\mathrm{.}32,7\mathrm{.}21,6\mathrm{.}99,6\mathrm{.}78,6\mathrm{.}61,6\mathrm{.}49,6\mathrm{.}37],[$Time $(min),25,36,49,64,81,100,300,1440,],[$Gauge $(mm),6\mathrm{.}29,6\mathrm{.}24,6\mathrm{.}21,6\mathrm{.}18,6\mathrm{.}16,6\mathrm{.}15,6\mathrm{.}10,6\mathrm{.}02,]]$

After $1440$ min the thickness of the specimen was $15\mathrm{.}30$ mm and the water content was $23\mathrm{.}2\%.$ Determine the values of the coefficient of consolidation and the compression ratios from $($a$)$ the root time plot and $($b$)$ the log time plot. Determine also the values of the coefficient of volume compressibility and the coefficient of permeability.

MZZIGWA@UCU@$2022$