Problem $3(50$ Points$)$

The hydraulic head referred below is the total head. Estimate it at Points A$,$ B and C$.$ Also

estimate the rate of flow if Liters$/$day$.$ You may use analytical approach or Numerical

approach. Make sure you present your answer in the units I have aksed for or you will get a

reduced grade.

Present your answers here:

Total heat at $A,H_A=$

mm

Total heat at $B,H_B=$

mm

Total heat at $C,H_C=$

mm

Rate of Flow through the $3$ soils, $Q=$

Liters$/$Day

A soil filled tube with square cross$-$section $(10cm10cm)$ is shown in Fig. $1.$ Three soils are

contained in the tube: A$,$ B$,$ and C$.$ Water is supplied to the influent and effluent reservoirs in a

manner that maintains a constant difference $(30cm)$ in the elevations of the water levels. The

hydraulic conductivities of the soils are as follows: $A-1\mathrm{.}0{10}^{-2}c\frac{m}{s},B-3\mathrm{.}0{10}^{-3}c\frac{m}{s},$ and $C-$

$4\mathrm{.}9{10}^{-4}c\frac{m}{s}.$ Find the flow rate though the soil in L$/$d$.$ Note that $1m^3=1000L.$