Principles of Geotechnical Engineering (MindTap Course List)
9th Edition
ISBN: 9781305970939
Author: Braja M. Das, Khaled Sobhan
Publisher: Cengage Learning
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Question
Chapter 7, Problem 7.3P
(a)
To determine
The rate of seepage per unit length of the dam.
(b)
To determine
The seepage velocity.
(c)
To determine
The quantity of seepage per day for 350 m long dam.
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3 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 long
a. 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.
CVE 331: Theoretical hydraulic conductivity calculation
Problem 1: The hydraulic conductivity of a sandy sol is 7x10 cm/sec at void ratio 0.68. What is the
hydraulic conductivity at void ratio 0.85 ?
(o.re)
A= 2,42e
k2
ei
Problem 2: The hydraulic conductivity of a clay soil is 121o* cm/sec at void ratio 0.56, and 3.1x10
cm/sec at void ratio 0.74. What is the hydraulic conductivity the soll at void ratio 0.65 ?
e3
ki
%3D
- 3. 797
GRAIN SIZE DISTRIBUTION GRAPH. A-
PROJECE
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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- Given: Permeability, k = 40 x 104 cm/s Saturated unit weight of the soil = 20 kN/m³ Other information shown in the Figure E3-3 Determine the following: (a) Quantity of Discharge (b) Total vertical stress at Points B and D (c) Pore-water pressure at Points B and D (d) Effective vertical stress at points B and D 20.0 m 6.5 m 5.0 m 10.5 m Water YAY Concrete Impervious Figure E3-3 1.0 m VAYAYAY 5.0 marrow_forward19arrow_forwardProblem 7.11 only.arrow_forward
- 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 flowarrow_forwardFigure 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_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
- Calculate the equivalent hydraulic conductivity in horizontal and vertical direction for the soil profile shown in Figure Q3. [Hint: Assume head loss of each layer is equal to its thickness (zi=hi)].arrow_forwardProblem 7.4 only.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
- Please help me answer d and e.arrow_forwardDetermine the increase of pore water pressure at M due to the infinite strip loading shown in Figure Q3. Assume y= 0.5 and A-0.6. Im Clay 4m 2m 9-100kN/m² 4m Figure Q3 M G.W.T.arrow_forwardSituation 3:The water table in a certain deposit of soil is at a depth of 2m below the ground surface. The soil consists of clay up to depth of 4m from the ground and below which lies sand. The clay soil is saturated even above the water table:Clay strata: ? = 30%, ?? = 2.72Sandy Strata: ? = 26%, ?? = 2.64 1. Compute the total pressure.2. Compute the pore water pressure.3.Compute the effective stress pressure at a depth of 8m below the ground surface.arrow_forward
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