Problems

$5\mathrm{.}1$ A permeable soil layer is underlain by an impervious layer, as shown in Figure $5\mathrm{.}22.$ With $k=4\mathrm{.}2{10}^{-3}c\frac{m}{sec}$ for the permeable layer, calculate the rate of seepage through it in $\frac{m^3}{h}\frac{r}{m}$ length. Given: $H=4\mathrm{.}8m$ and $=6.$

$5\mathrm{.}2$ Refer to Figure $5\mathrm{.}23.$ Find the flow rate in $\frac{m^3}{s\frac{ec}{m}}$ length $($at right angles to the cross$-$section shown$)$ through the permeable soil layer given $H=3m,H_1=2\mathrm{.}5m,h=2\mathrm{.}8m,L=25m,=10,$ and $k=0\mathrm{.}04c\frac{m}{sec}.$

$5\mathrm{.}3$ Repeat Problem $5\mathrm{.}2$ with the following values: $H=2\mathrm{.}2m,H_1=1\mathrm{.}5m,h=2\mathrm{.}7m,L=5m,=20,$ and $k=1\mathrm{.}12{10}^{-5}\frac{m}{sec}.$ The flow rate should be given in $\frac{m^3}{h}\frac{r}{m}$ length $($at right angles to the cross$-$section shown$).$

$5\mathrm{.}4$ Refer to the constant head permeability test shown in Figure $5\mathrm{.}4.$ For a test, these values are given:

$L=460mm$

$A=$ area of the specimen $=22\mathrm{.}6c{m}^2$

Constant head difference $=h=700mm$

Water collected in $3$min$=354c{m}^3$

Calculate the hydraulic conductivity in $c\frac{m}{sec}.$

Drahlams

$143$

$1\mathrm{.}23$