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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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
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 seepage
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_forwardSteady state vertical seepage is occurring in the soil profile shown in the figure. 1. Compute the elevation of the water surface at the piezometer is attached at the base of the upper soil layer B. 2. Compute the effective stress at the base of the upper soil layer B. 3. Compute the volumetric flow rate of the lower soil layer assuming cross sectional area of soil layer is 0.80 sq.m. EL 100 A 3.6 m B 8.24• water surface Layer 1 Y-18.46 kN/m³ K-12.5 mm/sec. Layer 2 4.6 m y=18.65 kN/m³ K₂-7.5 mm/sec. h₁ 4.6 h₂ 3.6marrow_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
- Water flows through a sand filter as shown on the figure. The soil has a cross sectional area of 0.38 m². d1=d2=d3=0.59 m. Head difference is 0.84 m. Inflow Outflow Soil A Soil B Soil C -d2- Coefficient of Permeability for Each Soil: 2.35 Soil X A 10-2 cm/s 1.75 Soil Kaz X A 10-3 cm/s 1.35 Soil X Kbx B Kax 10-2arrow_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_forwardA permeable layer is underlain by an impervious layer, as shown in Figure 7.30. With k = 5.2 × 10¬4 cm/s for the permeable layer, calculate the rate of seepage through it in m/hr/m if H = 3.8 m and a = 12°. 7.8 %3D Groundwater table (free surface) H Direction of seepage a Impervious layer Permeable layerarrow_forward
- A 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_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
- A 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_forwardQuestion 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_forwardFrom the figure shown, H₁ = 0.60, H₂ = 0.90 m. and h = 0.45 m. The sand has a saturated unit weight of 18.65 KN/m³. Hydraulic conductivity of sand K= 0.12 cm/sec. If the cross sectional area of tank = 0.46 m², determine the rate of upward seepage of water in liters /sec. h=0.45m T H₂=0.60 m H₂-0.90 m Direction of flow H₂O Sand ILGS G valve openarrow_forward
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