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 7.5P
To determine
Find the rate of flow in
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Given the stratified soil shown in figure, the properties of each soil are as follows:
a. Determine the total flow per meter.
b. Determine the equivalent coefficient of permeability.
h=500mm
k = 18x10*mm/s
k = 61x10*mm/s
k = 32x10 mm/s
%3!
A
2.5m
2.0 m
2.4m
2.0m
1.5m
3m
k = 18x10mm/s
k 61x10 mm/s
k = 32x10"mm/s
7.5 A pervious soil layer is sandwiched between two impervious layers as shown
in Figure 7.31. Find the rate of flow in m³/sec/m (at right angles to the cross
section) through the pervious soil layer. Given: H = 3.5 m, H, = 1.75 m,
h = 2.5 m, S = 28 m, a = 12°, and k = 0.055 cm/sec.
Direction
of flow
Impervious layer
Figure 7.31
Impervious layer
S
Water flows through a sand filter as
shown on the figure. The soil has a cross
sectional area of 0.38 m².
d1=d2=d3=0.59
m. Head difference is
0.84 m.
Inflow
Outflow
Soil A
Soil B
Soil C
-d2-
Coefficient of Permeability for Each Soil:
2.35
Soil
X
A
10-2
cm/s
1.75
Soil
Kaz
X
A
10-3
cm/s
1.35
Soil X
Kbx
B
Kax
10-2
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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- Soil layers are shown as the right figure. Given: H₁ = 2 m, k₁ = 10-4 cm/sec H₂ = 3 m, K₂ = 3.2 x 10-² cm/sec H₂ = 4 m, K₂ = 4.1 x 10-5 cm/sec Estimate the ratio of horizontal equivalent hydraulic conductivity and vertical equivalent hydraulic conductivity, i.e., k./k₂ T * H₂ H₂ a. 152 Ob. 270 O c. 140 O d. 225 k₁ k₂ k3arrow_forward7.9 Refer to Figure 7.29. Find the flow rate in m³/sec/m length (at right angles to the cross section shown) through the permeable soil layer. Given: H = 5 m, H, = 2.8 m, h = 3.1 m, L = 60 m, a = 5°, k = 0.05 cm/sec. Direction of flow Impervious layerarrow_forwardA canal is cut into a soil with a stratigraphy shown below. Assume flow takes place laterally and vertically through the sides of the canal and vertically below the canal. The vaues of k = kx = k, in each layer are given. a.) What is the equivalent permeability in the horizontal direction through the sides of the canal, in cm/day. b.) What is the equivalent permeability in the vertical directions through the sides of the canal, in cm/day. c.) Determine the equivalent permeability in the vertical directions below the bottom of the canal, in cm/day.arrow_forward
- Problem 1 Find the flow rate in m³/hr/m length (at right angles to the cross-section shown) through the permeable soil layer shown. H = 3 m H₁ = 1.07 m h = 1.4 m Ø = 14° K = 0.000488 m/s L = 36.58 m Direction of flow h=1.4 m impervious layer impervious layer 0=14° L' L=36.58 m H=3 marrow_forwardQ-2: Find the rate of flow in m³/sec/m (at right angles to the cross section shown in the following figure through the permeable soil layer. Given: H = 4 m, H1 = 2 m, h = 2.75 m, S = 30 m, α = 14° and k = 0.075 cm/sec. Direction of flow a I h Impervious layer Impervious layer: Sarrow_forwardSoil layers are shown as the right figure. Given: H1 = 2 m, k1 = 10-4 cm/sec H2 = 3 m, k2 = 3.2 x 10-2 cm/sec H3 = 4 m, k3 = 4.1 x 10-5 cm/sec Estimate the ratio of horizontal equivalent hydraulic conductivity and vertical equivalent hydraulic conductivity, i.e., Ky/Kz H2 k2 H3 k3 O 140 O 270 O 225 O 152 Question 2 4 pts The results ofa constant-head permeability test for a sand sample having a sectional area of 10000mm2 and a length of 200 mm are as follows: (1) Constant head difference 400mm (2) Time of collection of water = 30 seconds (3) Volume of water collected = 600 cm3. The hydraulic conductivity is: O 1.7mm/sec O 2.9 mm/sec O 0.5mm/sec O 1.0 mm/secarrow_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_forwardWater flows through a sand filter as shown on the figure. The soil has a cross sectional area of 0.39 m². d1=d2=d3=0.52 m. Head difference is 0.93 m. Inflow Outflow Soil A Soil B Soil C d2 d3 Coefficient of Permeability for Each Soil: Soil A Kax 2.92 x 10-2 cm/s Soil A Kaz 1.36 x 10-3 cm/s Soil B Kbx 1.67 x 10.2 cm/s Soil B Kbz 2.92 x 10-3 cm/s Soil CKcx 3.28 x 102 cm/s Soil C Kcz 3.49 x 10-3 cm/s Compute the coefficient of permeability of the sand filler in cm/s. Use 4 decimal placesarrow_forwardProblem 3 A sand layer of the cross-sectional area shown in the figure has been determined to exist for a 500 m. length of the levee. The hydraulic conductivity of the sand layer is 3 m/day. Determine the quantity of water which flows into the ditch in m³/min. W.S. EL=160 Levee Impervious ·layer' W.S. El.=150 Sand Impervious layer 125 m 10 m 2 m Ditcharrow_forward
- The rate of upward seepage taking place through a granular soil contained in a tank is 976.5 cm3/sec. Given that H1 = h = 1.8 m, the area of the tank = 0.62 m?, void ratio of the soil = 0.55, the specific gravity is 2.65, and the hydraulic conductivity of the sand is 0.21 cm/sec, determine the following: a. The hydraulic gradient. b. Length of H2. c. The critical hydraulic gradient of the soil sample. d. If boiling will occur at h = 2.5 m? Justify your answer by showing the appropriate comparison by solving. e. The value ofh to cause boiling. (あ)。 H, H1 H2 Valve (open) Inflowarrow_forwardFor the given soil profile as shown. k = 2.3 x 102 cm/s k = 8 x 102 cm/s k. 5.7 x 10 cm/s, k, = 25.5 x 10 cm/s 10 m 2m k = 9.2 x 10 cm/s k. = 27 x 10- cm/s 10 m 1) Determine the equivalent hydraulic conductivity in x-direction in x10^-3 cm/s 2) Determine the equivalent hydraulic conductivity in z-direction in x10^-6 cm/s 3) Calculate the flow in x-direction per meter if the hydraulic gradient is 0.4. Expressed your answer in x10^-3 m^3/s.arrow_forwardThe rate of upward seepage taking place through a granular soil contained in a tank is 976.5 cm³/sec. Given that H1 = h = 1.8 m, the area of the tank = 0.62 m², void ratio of the soil = 0.55, the specific gravity is 2.65, and the hydraulic conductivity of the sand is 0.21 cm/sec, determine the following: a. The hydraulic gradient. b. Length of H2. c. The critical hydraulic gradient of the soil sample. d. If boiling will occur at h = 2.5 m? Justify your answer by showing the appropriate comparison by solving. e. The value ofh to cause boiling. (は) A H2 Valve (open) Inflowarrow_forward
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