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. For permeable layer K=4.8x10-3 cm/sec. If H = 3 m and α = 5˚
(See picture below)
Determine the hydraulic gradient
Determine the cross-sectional area of the permeable soil layer.
Determine the rate of seepage in cm3/hr/meter.
2. Consider the stratified soil deposit shown in the figure. There are four layers, 3m thick each, and kH1=2x10³, kH2=1x105, kµ3=2x104,
kH4=1x10³in cm/sec. Determine the equivalent coefficient of permeability in the horizontal direction and the total flow in cm3/sec per cm
width.
H
Direction of flow
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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- 7.1 A permeable soil layer is underlain by an impervious layer as shown in Figure 7.29. Knowing that k = 6 x 10-³ cm/sec for the permeable layer, calculate the rate of seepage through this layer in m³/hr/m width. Given: H = 5.4 m and α = 7°. Groundwater table (free surface) H Impervious layer Ground surface Direction of seepagearrow_forwardA 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.arrow_forward.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_forward
- Help answer plsssarrow_forwardsoil mechanicsarrow_forwardFrom 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_forward
- A 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_forwardA layered soil is depicted in the following figure. Make reasonable assumptions on the hydraulic conductivity on each layer and estimate the equivalent permeability, keq, for direction of water flow #1 and #2. Direction of water flow #1 H, = 3.5 m, dense gravel %3D H, = 7.2 m, soft clay %3D Direction of water flow #2 H, = 6.8 m, medium dense sand H = 2.9 m, dense sand %3D 4arrow_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
- If the value of the coefficient of lateral earth pressure at rest (KO) for the compressible silty clay layer of Problem 2 is 0.68, what are the total and effective horizontal stresses at mid-depth of the layer in parts (a) and (b) of Problem 2?arrow_forwardHow to solve the problem, Explain also how to solve for the L in Hydraulic gradient formula (i). Thank you so mucharrow_forwardA canal is cut into a soil with a stratigraphy shown below. Assume flow takes place laterally and vertically through the sides of the canal and vertically below the canal. The vaues of k = kx = k, in each layer are given. a.) What is the equivalent permeability in the horizontal direction through the sides of the canal, in cm/day. b.) What is the equivalent permeability in the vertical directions through the sides of the canal, in cm/day. c.) Determine the equivalent permeability in the vertical directions below the bottom of the canal, in cm/day.arrow_forward
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