Principles of Foundation Engineering (MindTap Course List)
9th Edition
ISBN: 9781337705028
Author: Braja M. Das, Nagaratnam Sivakugan
Publisher: Cengage Learning
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Chapter 2, Problem 2.8P
To determine
Find the amount of water flowing into the ditch per day.
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2.8
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.
Given the following:
H1 = 1.5 m
H2 = 3.0 m
H3 = 2.0 m
K1 = 0.001 cm/sec
K2 = 0.032 cm/sec
K3 = 0.000041 cm/sec
1. Find the effective average permeability of the
deposit in the horizontal direction. (in cm/s)
2. Find the effective average permeability of the
deposit in the vertical direction. (in cm/s)
3. What is the ratio of the equivalent hydraulic
conductivity?
19
Chapter 2 Solutions
Principles of Foundation Engineering (MindTap Course List)
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- A sand has Gs = 2.66. Calculate the hydraulic gradient that will cause boiling for e = 0.35, 0.45, 0.55, 0.7, and 0.8.arrow_forwardbe the hydraulic conductivity at 20°C? Ans. 1.0 x 10 cm/sec 4. For a normally consolidated clay, the following values are given. k(cm/sec) 0.45 x 10 e 0.78 1.1 0.88 x 10 Estimate k at a void ratio of 0.97 6.0089 107arrow_forward1. (30 pts) The soil profile shown below consists of 10 meters of sandy silt overlying gravel. The pore water pressure at the top surface of the silty sand is zero and can be assumed to remain zero. a) Calculate the level to which water would rise in a piezometer tube inserted into the top of the gravel if the silty sand is just stable? Use submerged unit weights and seepage forces to arrive at your answer (do not calculate total stresses and pore water pressures). Express your answer as an elevation, e.g. "Elev. 130". (Note: Elevations are in meters) (10 pts) b) Using the piezometric elevation calculated in part (a), calculate the pore water pressure at the bottom of the silty sand if the silty sand is just stable (10 pts). c) Calculate the total stress at the base of the silty sand and show that it is equal to the pore water pressure calculated in part (b) (10 pts) Elev. 120 m. Elev. 110 m. Sandy Silt (saturated) Void ratio, e = 0.68 G = 2.65 Gravelarrow_forward
- From 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_forwardbe the hydraulic conductivity at 20 Docs A20 pe 4. For a normally consolidated clay, the following values are given. k (cm/sec) 0.45 x 106 0.78 1.1 0.88 x 106 Estimate k at a void ratio of 0.97arrow_forward2. 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 flowarrow_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 area of flow. h=1.4 m Direction impervious layer of seepage 3 m 14 1.1 m impervious layer 14 -36 m-arrow_forward7.10 The hydraulic conductivity of a sand at a void ratio of 0.5 is 0.022 cm/sec. Estimate its hydraulic conductivity at a void ratio of 0.7. Use Eq. (7.31). 7.18 A layered soil is shown in Figure 7.31. Estimate the ratio of equivalent hydraulic conductivity, kmeq/kvieg)- 1.5 m 1 m 1.5 m |k = 2 × 10-³ em/sec (top layer) | k = 2 × 10-4 cm/sec | k = 10-4 cm/sec | k = 3 × 10-4 cm/sec (bottom layer) Figure 7.31 -arrow_forwardFrom the figure shown, the void ratio of the sand is 0.55 with a specific gravity of 2.68. The cross-sectional area of the tank is 0.5 sq.m and hydraulic conductivity of sand = 0.1 cm/s. a. What is the rate of upward seepage in cu.m/hour? b.Determine the critical hydraulic gradient for zero effective stress. c. Determine the value of h (head loss) to cause boiling. NEED ASAP. THANK YOU.arrow_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_forwardWater flows in the upward direction in a tank through 2.5 m thick sand layer as shown in the figure. The void ratio and specific gravity of sand are 0.58 and 2.7, respectively. The sand is fully saturated. Unit weight of water is 10 kN/m³. Outward flow 1.2 m 1m water Sand 2.5m •A 1m Filter media Inward flow > The effective stress (in kPa, round off to two decimal places) at point A, located 1 m above the base of tank, is alicearrow_forwardAnswer in three decimal places pleasearrow_forward
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