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 7.20P
To determine
Find the hydraulic conductivity of the saturated clay.
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7.10 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
-
Problem (5)
A layered soil is shown in following figure.
a) Estimate the hydraulic conductivity for flow in the vertical direction.
b) Estimate the equivalent hydraulic conductivity for flow in horizontal direction.
c) calculate the ratio of ky(eg) /kh(eq)
1 m
k = 10-3 cm/sec
1 m
k = 2 × 10-4 cm/sec
1 m
k = 10
cm/sec
1 m
k = 2 × 10¬³ cm/sec
Problem 5
From 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 m² and hydraulic conductivity of sand = 0.1 cm/s.
1. What is the rate of upward seepage in m3/hour?
2. Determine the critical hydraulic gradient for zero effective stress.
3. Determine the value of h to cause boiling.
4. Determine the value of x.
h=1.2 m
H₁=1 m
z =0.8
H₂=2 m
In flow
Soil
C
B
H₂O
valve
open
K
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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- From 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_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_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
- (Situation 3) Determine the equivalent hydraulic conductivity of the soil strata given in the figure considering direction of flow of water parallel and perpendicular to the layers. k = 2.3 x 102 cm/s k, = 8 x 102 cm/s k, = 5.7 x 10 cm/s, k, = 25.5 x 104 cm/s 10 m 2 m! = 9.2 x 10 cm/s k, = 27 x 107 cm/s 10 m %3!arrow_forwardQuestion 2 A sand layer is under artesian pressure as shown in Figure Q2. The water depth in the lake is 1 m. Assume a steady upward vertical flow through Soil layer 2 and Soil layer 1. For Soil layer 1: the coefficient of permeability is 1x10 m/s and the hydraulic gradient is 0.2. Determine: a) Coefficient of permeability (in m/s) for Soil layer 2 b) Average coefficient of permeability for the layered soil mass 1 m Lake 2 m 2 m Soil layer 1 Soil layer 2 Sand under artesian pressure Figure Q2 6 marrow_forwardQ4 A 0.7m long soil specimen is subject to a steady-state flow, as shown in Figure Q4. The saturated unit weight of the soil is 20 kN/m³. Determine the following: Datum Y 0.8 m Figure Q4 Water B d) Total stress (kPa) at point A, B and C. e) Porewater pressure (kPa) at point A, B and C. 0.3 m 0.3 m 0.4 marrow_forward
- In a pressuremeter test in a soft saturated clay, the measuringcell volume Vo = 535 cm3, po =42.4 kN/m2,pf =326.5 kN/m2, vo =46 cm3, and vf = 180 cm3.Assuming Poisson’s ratio smsd to be 0.5 and using Figure3.31(attached), calculate the pressuremeter modulus (Ep).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_forwardThe figure shows a cross section through the strata underlying a site of which the permeability properties are of importance. Assume the coefficient of permeability in the horizontal and vertical directions to be the same in each stratum. (each layer is hydraulically isotropic). Estimate the ratio of equivalent hydraulic conductivity: kh(eq)/kv(eq) A: h=4.1 m, k=11x10^-4 mm/s B: h=1.49 m, k=69x10^-5 mm/s C: h=1.16 m, k=36x10^-7 mm/s D: h=2.91 m, k=51x10^-10 mm/sarrow_forward
- A 0.7m long soil specimen is subject to a steady-state flow, as shown in Figure Q4. The saturated unit weight of the soil is 20 kN/m?. Determine the following: Water 0.3 m 0.8 m 0.3 m Datum 0.4 m Y Figure Q4 AR ang t d) Total stress (kPa) at point A, B and C. e) Porewater pressure (kPa) at point A, B and C. f) Effective stress (kPa) at point A, B and C. g) Seepage force per unit volume of soil.arrow_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_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
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