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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Problem 7.20
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
-
3. A layered soil deposit is shown in the figure below with anisotropic values of the coefficient of
hydraulic conductivity in the horizontal (x) and vertical (y) directions. Calculate the equivalent
homogeneous values of the coefficient of hydraulic conductivity in the horizontal and vertical
direction.
kx,eg:
cm/sec
ky,eq:
cm/sec
TIRSURIT
WASUKSIT
1.5 m
k,= 1.2 x 10³ cm/s, k, = 2.4 x 10 cm/s
2.0 m
k, = 2.8 x 10 cm/s, k, = 3.1 x 105 cm/s
2.5 m
k₁=5.5 x 10-5 cm/s, k, = 4.7 x 10 cm/s
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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- 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/secarrow_forwardProblem 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 Karrow_forward7.22arrow_forward
- 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_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_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
- Problem 7.14arrow_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_forwardRefer to Figure P3.3 Attached. Use Eqs. (3.10) and (3.11) attached to determine the variation of OCR and preconsolidation pressure σ'c.arrow_forward
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