Fundamentals of Geotechnical Engineering (MindTap Course List)
5th Edition
ISBN: 9781305635180
Author: Braja M. Das, Nagaratnam Sivakugan
Publisher: Cengage Learning
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Chapter 7, Problem 7.3P
To determine
Find the quantity of seepage across the entire wall (Q).
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Seepage around a retaining wall is shown in the figure below. The hydraulic conductivity of the sand is 1.8 x 10-5 cm/s. The retaining wall is 20 m long. Determine the quantity of seepage across the entire wall per day
EXAMPLE 8.3
Seepage takes place around a retaining wall shown in Figure 8.8. The hydraulic con-
ductivity of the sand is 1.5 × 10-3 cm/s. The retaining wall is 50 m long. Determine
the quantity of seepage across the entire wall per day.
FIGURE 8.8
5 m
Retaining wall
Impervious layer
Sand
Seepage takes place around a retaining wall shown in Figure Q5. The coefficient of permeability of the sand is 3×10−3 cm/s. If the retaining wall is 20m long, calculate the quantity of seepage across the entire wall per day.
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Fundamentals of Geotechnical Engineering (MindTap Course List)
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- Water flows at the rate of 4 x 10-2 cm³/s through a cylindrical sand sample with a diameter of 10 cm and a coefficient of permeability of 8 x 10-4 cm/s. In Case I, the flow is in upward direction, as shown in Figure 3a. In Case II, the flow is in downward direction, as shown in Figure 3b. For each case: a). The total head loss through the sand. b). The total stress, the effective stress and the PWP at points A, B and C if the soil has a saturated unit weight of 19 kN/m³. a). Case I 9 cm 12 cm 12 cm ▼ C B A D = 10 cm 9 cm 12 cm 12 cm b). Case II Figure 3. Seepage through soil ▼ с B A ? D = 10 cmarrow_forward2.8 A 500 m long levee made of compacted clay impounds water in a reservoir as shown in Figure P2.8. There is a 1 m thick (measured in the direction perpendicular to the seam) sand seam continuing along the entire length of the levee, at 10° inclination to the horizontal, which connects the reser- voir and the ditch. The hydraulic conductivity of the sand is 2.6 × 10-³ cm/s. Determine the volume of water that flows into the ditch every day.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
- Consider the hydraulic structure shown in the figure below. In the flow net for flow through the permeable layer, the number of flow channels is Nf = 5 and the number of potential drops is Ng = 12 Calculate the seepage loss. 25 m 10 m 1.67 m 3.34 m 20 m k = 0.002 cm/sec 1.67 m 1.67 m Permeable layer | Impermeable layer Select the correct response: 7.21 m3/day/m O 2.17 m/day/m 6.28 m3/day/m O 6.82 m/day/m 11arrow_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 flow rate. h=1.4 m Direction impervious layer of seepage 3 m 14 1.1 m impervious layer L. 14arrow_forwardFrom the figure shown, H1 = 0.60, H2 = 0.90 m. and h = 0.45 m. The sad 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 following: 1. Total stress and Effective stress at C. 2. Pore water pressure at C. 3. Rate of upward seepage of water in liters/sec.arrow_forward
- 8.5 For the hydraulic structure shown in Figure 8.19, draw a flow net for flow through the permeable layer and calculate the seepage loss in m/day/m Refer to Problem 8.5. Using the flow net drawn, calculate the hydraulic uplift force at the base of the hydraulic structure per meter length (measured along the axis of the structure) 8.6 25 m 10m 3.34 m 1.67 m 20 m k 0.002 em/sec I I 167 m 167 m Impermeable layer Permeable layer Figure 8.19 10uatetuaarrow_forward3 Seepage is occurring through the sandy layer underneath the concrete dam as shown in Figure 7.30. Concrete dam H₁ Seepage H₂ H₂ Sandy layer Impervious rock PXSXX2X L Figure 7.30 Given: upstream water level, H₁ = 16 m; downstream water level, H₂ = 2.3 m; thickness of the sandy layer, H, = 0.75 m; hydraulic conductivity of the sandy layer, k = 0.009 cm/sec; void ratio of sand, e = 0.8; and L = 45 m. Determine: a. Rate of seepage per unit length of the dam (in m³/hr/m) b. Seepage velocity c. Quantity of seepage per day if the dam is 350 m longarrow_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_forward
- Figure 1.11 Practice Problem 2: Refer to Figure 1.12. If Hi = 1.5 m, H2 = 2.5 m, h = 1.5 m, e =0.49, Gs = 2.66, area of the tank = 0.62 m², and hydraulic conductivity of the sand (k) = 0.21 cm/sec. a. What is the rate of upward seepage of water (m³/min)? b. Will boiling occur when h = 1.5 m? c. What would be the critical value of h to cause boiling? %3D %3D %3D 南) H H2 Valve (open) Inflow Figure 1.12arrow_forwarda. For Figure 2 below, calculate the effective hydraulic conductivity for flow parallel and perpendicular to layering. Show your work. Explain the difference in values. Figure 2 sand layer; K = 1 m/d; thickness = 5 d 10.5 m clay layer; K = 0.000001 m/d; thickness = 0.5 m sand laver: K = 1 m/d; thickness = 5 m b. Figure 3 below shows the effects of groundwater refraction, assuming that groundwater flow in the top layer is almost horizontal i.e., a = 89.8°, what is B and what can you say about the flow in the clay layer? a a K, b B K Figure 3.arrow_forward3. The upward flow of water through a layer of sand in the tank shown in figure has the following properties: e =0.50, G-2.67. Determine the following: a) Effective stress at point A b) Effective stress at point B c) Upward seepage force per unit volume of soil 0.8m 3.5m Supply of Water 0.5m A B 1.9marrow_forward
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