PROBLEM $1$

For a constant head laboratory permeability test on a fine

sand, the following values are given:

Length of specimen

$300$ mm

Diameter of specimen

$200$ mm

Head difference

$400$ mm

Volume of water collected in $4$ min $.$

$420$ cum

Void ratio of the soil specimen

$0\mathrm{.}55$

a$.$ Compute the coefficient of permeability.

b$.$ Compute the discharge velocity in $c\frac{m}{sec}.$

c$.$ Compute the seepage velocity.