Principles of Geotechnical Engineering (MindTap Course List)
9th Edition
ISBN: 9781305970939
Author: Braja M. Das, Khaled Sobhan
Publisher: Cengage Learning
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Chapter 7, Problem 7.2P
To determine
Find the rate of seepage through the permeable layer at
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Problem 7.2 only.
A permeable soil layer is underlain by an impervious layer as shown below. Knowing that k = 6 x 10
-3
cm/sec
for the permeable layer. Given H = 5.4 m, calculate the rate of seepage through this layer in m
3
/hr. if:
α = 5
o
α = 7
o
α = 9
o
α = 12
o
Draw a chart α vs. q (i.e. α on the x-axis, and q on the y-axis) and discuss how the slope angle (α) impact the
flow rate and explain the reason for such behavior.
9
Chapter 7 Solutions
Principles of Geotechnical Engineering (MindTap Course List)
Ch. 7 - Prob. 7.1PCh. 7 - Prob. 7.2PCh. 7 - Prob. 7.3PCh. 7 - Prob. 7.4PCh. 7 - Prob. 7.5PCh. 7 - Prob. 7.6PCh. 7 - Prob. 7.7PCh. 7 - Prob. 7.8PCh. 7 - Prob. 7.9PCh. 7 - Prob. 7.10P
Ch. 7 - Prob. 7.11PCh. 7 - Prob. 7.12PCh. 7 - Prob. 7.13PCh. 7 - Prob. 7.14PCh. 7 - Prob. 7.15PCh. 7 - Prob. 7.16PCh. 7 - Prob. 7.17PCh. 7 - Prob. 7.18PCh. 7 - Prob. 7.19PCh. 7 - Prob. 7.20PCh. 7 - Prob. 7.21PCh. 7 - Refer to Figure 7.24. The following data were...Ch. 7 - Prob. 7.23PCh. 7 - Prob. 7.1CTP
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- .In the given soil profile detemine the 6,µ and 6' of the points A,B.C and D. Show the variations in a diagram, Considering NO seepage. H1 = 4.0 m e = 0.4 H1 Layer 1 Gs = 2.65 Ground water H2 = 5.0 m e= 0.6 H2 Layer 2 Gs = 2.68 H3 = 3.0 m H3 Layer 3 e = 0.81, Gs = 2.73 %3Darrow_forwardProblem 7.21arrow_forwardsoil mechanicsarrow_forward
- From the figure shown, the thickness of permeable layer is 1.1m making an angle of 14 degrees with the horizontal. K= 4.87x10^-12 cm/sec. If the vertical thickness depth of the aquifer at point of the first piezometer (left) is 1.5m and the other point at second piezometer is 1.1m, determine the seepage velocity. h=1.4 m Direction of seepage impervious layer 3 m 14 1.1 m impervious layer 14 -36 m-arrow_forwardA horizontal stratified soil deposit consists of three layers each uniform in itself. The permeabilities of these layers are 8x104 cm/s, 52x104 cm/s, and 6x104 cm/s, and their thicknesses are 7, 3 and 10 m, respectively. Find the effective average permeability of the deposit in the vertical direction (mm/s). Select the correct response: 13.6x103 15.4x103 7.7x10-3 1.1x102arrow_forward3. A layer of silty soil of thickness 5 m lies below the ground surface at a particular site and below the silt layer lies a clay stratum. The ground water table is at a depth of 4 m below the ground surface. The following data are available for both the silt and clay layers of soil. e = 0.7, and G = 2.7 Silt layer: D1o = 0.018 mm, Clay layer: e = 0.8 and G, = 2.75 (c) the Required: (a) Height of capillary rise, (b) capillary pressure, effective pressure at the ground surface, at GWT level, at the bottom of the silt layer and at a depth of H = 6 m below ground level, and (d) at a depth 2 m below ground level. Ans: a) 4.0 m, b) 16.16KN/m², c) 78.56 kN/m²_, d) 47.36 kN/m²arrow_forward
- Question 34 A three-layer soil has the following properties: Layer 1: k = 2.72 x 10^-3 cm/s, H = 3.02 m. Layer 2: k = 1.7 x 10^-2 cm/s, H = 4.93 m. Layer 3: k = 3.16 x 10^-3 cm/s, H = 4.04 m. Determine the equivalent vertical coefficient of permeability of the soil arrangement. Layer 1 is on top of layer 2 while layer 2 is on top of layer 3. Round off to four decimal places.arrow_forwardA layered soil deposit is of dimension 3m x 2m x 3m. There are three different soils, each of 1 m thick as shown. The coefficient of permeability of these soil layered are shown in figure. The water is flowing in the z-direction under the head loss of 5.15 m. The quantity of flow (in m³/hr) would be 1m 1 m 1m 2m k₂ = 5 x 10 m/s k₂=2.5 x 10 m/s k₂ = 1.25 x 10³ m/s 3 marrow_forwardQuestion 21 A three-layer soil has the following properties: Layer 1: k = 2.58 x 10^-3 cm/s, H = 3.47 m. Layer 2: k = 1.5 x 10^-2 cm/s, H = 4.67 m. Layer 3: k = 3.27 x 10^-3 cm/s, H = 4.26 m. Determine the equivalent vertical coefficient of permeability of the soil arrangement. Layer 1 is on top of layer 2 while layer 2 is on t of layer 3. Round off to four decimal places.arrow_forward
- Problem (2) The following data are for a variable head permeability test: Area of soil specimen=1200mm? Length of the soil specimen = 150mm Area of the standpipe = 1.3cm² At time t=0, head difference = 750mm At time t=2min, head difference = 500mm 2 %3D a) Find the hydraulic conductivity of the soil in cm/min.arrow_forwardA layered soil is shown with the corresponding values of K1, K2 and K3. Compute the equivalent horizontal coefficient of permeability. H1=3m Kj=2x10*cm/s H2=4m K2=3.2x10²cm/s· H=12m H3=5m K3=4.1x10 cm/s Select one: a. 0.01089 cm/s b. 0.01980 cm/s c. 0.01890 cm/s d. 0.01809 cm/sarrow_forwardFor the soil profile shown in fig. top layer is sand. Initially the water table is 5m below ground level, which is lowered permanently to a depth of 15 m below ground level by pumping over few years. Assuming Yw = 10 kN/m³, unit wt. of sand above wt is equal to 18 kN/m³, unit wt. of sand sand clay below water table equals to 20 kN/m³. Coefficient of volume of compressibility is 0.25 m²/mN. 15 m 5 m 5 m XXXX ! hC Original GWT Lowered GWT Clayarrow_forward
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