List of top Geotechnical Engineering Questions on Permeability asked in GATE CE

Two soils of permeabilities $ k_1 $ and $ k_2 $ are placed in a horizontal flow apparatus, as shown in the figure. For Soil 1, $ L_1 = 50 \, {cm} $, and $ k_1 = 0.055 \, {cm/s} $; for Soil 2, $ L_2 = 30 \, {cm} $, and $ k_2 = 0.035 \, {cm/s} $. The cross-sectional area of the horizontal pipe is 100 cm², and the head difference ($ \Delta h $) is 150 cm. The discharge (in cm³/s) through the soils is ........ (rounded off to 2 decimal places).
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Two soils of permeabilities $ k_1 $ and $ k_2 $ are placed in a horizontal flow apparatus, as shown in the figure. For Soil 1, $ L_1 = 50 \, {cm} $, and $ k_1 = 0.055 \, {cm/s} $; for Soil 2, $ L_2 = 30 \, {cm} $, and $ k_2 = 0.035 \, {cm/s} $. The cross-sectional area of the horizontal pipe is 100 cm², and the head difference ($ \Delta h $) is 150 cm. The discharge (in cm³/s) through the soils is ........ (rounded off to 2 decimal places).

The most suitable test for measuring the permeability of clayey soils in the laboratory is ___________.

A 6 m thick clay stratum has drainage at both its top and bottom surface due to the presence of sand strata. The time to complete 50% consolidation is 2 years.
The coefficient of volume change ($m_v$) is $1.51 \times 10^{-3}\ {m}^2/{kN}$ and the unit weight of water is $9.81\ {kN/m}^3$.
The coefficient of permeability (in m/year) is __________ (round off to three decimal places).

A 6 m thick clay stratum has drainage at both its top and bottom surface due to the presence of sand strata. The time to complete 50% consolidation is 2 years.
The coefficient of volume change ($m_v$) is $1.51 \times 10^{-3}\ {m}^2/{kN}$ and the unit weight of water is $9.81\ {kN/m}^3$.
The coefficient of permeability (in m/year) is __________ (round off to three decimal places).

For the flow setup shown, hydraulic conductivities are $k_1=10$ mm/s (Soil 1) and $k_2=1$ mm/s (Soil 2). Unit weight of water $=10$ kN/m$^3$. Ignore velocity head. At steady state, what is the total head (in m, rounded to two decimals) at the junction of the two samples?

For the flow setup shown, hydraulic conductivities are $k_1=10$ mm/s (Soil 1) and $k_2=1$ mm/s (Soil 2). Unit weight of water $=10$ kN/m$^3$. Ignore velocity head. At steady state, what is the total head (in m, rounded to two decimals) at the junction of the two samples?