Consider the setup shown in Figure $2\mathrm{.}0$ in which three different soil layers, each $200$ mm in length, ar Located inside a cylindrical tube of diameter $150$ mm $.$ A constant$-$head difference of $470$ mm is maintained

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

flow are given here.

Perform the following tasks.

a$.$ Determine the quantity of water flowing through the sample per hour.

b$.$ Denoting the downstream water level $(Y-Y)$ to be the datum, determine

the elevation head $(Z),$ pressure head $(\frac{u}{{}_w})$ and the total head $(h)$ at the

entrance and exit of each soil layer.

c$.$ Plot the variation of the elevation head, pressure head and the total head

with the horizontal distance along the sample axis $(x-x).$

d$.$ Plot the variations of discharge velocity and the seepage velocity along

the sample axis.

e$.$ What will be the height of the vertical columns of water inside piezome$-$

ters A and $B$ installed on the sample axis?