Part A:

For a constant head permeability test on a fine sand, the following values are given:

Length of specimen $=12$ in$.$

Diameter of specimen $=3$ in$.$

Head difference $=16$ in$.$

Water collected in a period of $2$min$=0\mathrm{.}035$ in$.3$

Determine:

$($a$)$ The Hydraulic conductivity, k$,$ of the soil $($in in$./$min$)$

$($b$)$ Discharge velocity $($in in$./$min$)$

$($c$)$ Seepage velocity $($in in$.\frac{?}{\text{m}\text{i}\text{n}})$ The void ratio of the soil specimen is $0\mathrm{.}48.$

Part B:

In a falling head permeability test the initial head of $1\mathrm{.}03m$ dropped to $0\mathrm{.}38m$ in $3$ hours, the diameter of the standpipe being $6mm.$ The soil specimen was $210mm$ long by $90mm$ in diameter. Calculate the hydraulic conductivity of the soil.