Consider the setup in Figure $3$ in which three different soil layers, each $200mm$ in length, are located

inside a cylindrical tube of diameter $150mm.$ A constant$-$head difference of $470mm$ is maintained

across the soil sample. The porosities and hydraulic conductivities of the three soils in the direction of

the flow are as given in the following table:

$($i$)$ Determine the quantity of water flowing through the sample per hour.

$($ii$)$ Denoting the downstream water level $(Y-Y)$ to be the datum, determine the elevation head,

pressure head and the total head at the entrance and exit of each soil layer.

$($iii$)$ Determine the discharge velocity and seepage velocity at the entrance and exit of each soil layer.

$($iv$)$ What would be the height of the vertical columns of water inside the piezometers P$1$ and P$2$

installed on the sample axis $($X$-$X$)?$

$**$ note the k values in the table