EBK PRINCIPLES OF GEOTECHNICAL ENGINEER
9th Edition
ISBN: 8220103611718
Author: SOBHAN
Publisher: CENGAGE L
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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
The section of a concrete gravity dam with its flow net diagram is shown in Figure 10.38
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
EBK PRINCIPLES OF GEOTECHNICAL ENGINEER
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_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_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
- 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_forwardA canal is cut into a soil with a stratigraphy shown in the figure. Assuming flow takes place laterally and vertically through the sides of the canal and vertically below the canal, determine the equivalent permeability in horizontal direction. Determine the equivalent permeability in the vertical directions. Calculate the ratio of the equivalent horizontal permeability to the equivalent vertical permeability for flow through the sides of the canal.arrow_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_forward
- Water 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_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 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_forward19arrow_forward
- From the figure shown 1. What is the equation in determining the equivalent coefficient of permeability in the horizontal direction. 2. What is the equivalent coefficient of permeability in the horizontal direction if each soil layer is 3 m. thick and has the given values of K1, K2, K3 and K4. 3. What is the total flow if iav = 0.70arrow_forwardProblem 7.2 only.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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