Assignment #$4$

Solve Problem $5-1$ on p$.82$ of the text, or see at right:

Solve Problem $5-4$ on p$.82$ of the text, or see at right $($use the figure in Presentation #$5)$:

Solve Problem $5-6$ on p$.82$ of the text, or see at right:

Solve Problems $5-10$ and $5-11$ on p$.82$ of the text, or see below.

$5-10.$ A reservoir with a $35,000-f{t}^2$ area is underlain by layers of stratified soils as depicted in Figure $5-23.$ Compute the water loss from the reservoir in $1$ year. Assume that the pore pressure at the bottom sand layer is zero.

$5-11.$ For the reservoir described in Problem $5-10,$ estimate the average coefficient of permeability in the horizontal direction.

$5-1.$ Water flows through a sand filter as shown in Figure $5-20.$ The soil mass's cross$-$sectional area and length are $400i{n}^2$ and $5\mathrm{.}0ft,$ respectively. If Inflow the coefficient of permeability of the sand filter is $3\mathrm{.}6{10}^{-2}c\frac{m}{s},$ find the flow rate of water through the soil.

$5-4.$ A falling$-$head permeability test was conducted on a silty clay sample $($Figure $5-4).$ The diameter and length of the test specimen were $10\mathrm{.}20$ and $16\mathrm{.}20cm,$ respectively. The cross$-$sectional area of the standpipe was $1\mathrm{.}95c{m}^2,$ and the water temperature was $20C.$ If it took $35$min for the water in the standpipe to drop from a height of $100\mathrm{.}0cm$ at the beginning of the test to $92\mathrm{.}0cm$ at the end, determine the soil's coefficient of permeability.

$5-6.$ A pump test was conducted on a test well drilled into a confined aquifer, with the results as shown in Figure $5-22.$ If water was pumped at a steady flow of $205ga\frac{l}{m}in,$ determine the coefficient of permeability of the permeable soil in the aquifer.

hater Reservoir

$50ft$