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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A permeable soil layer is underlain by an impervious layer as shown below. Knowing that k = 6 x 10
-3
cm/sec
for the permeable layer. Given H = 5.4 m, calculate the rate of seepage through this layer in m
3
/hr. if:
α = 5
o
α = 7
o
α = 9
o
α = 12
o
Draw a chart α vs. q (i.e. α on the x-axis, and q on the y-axis) and discuss how the slope angle (α) impact the
flow rate and explain the reason for such behavior.
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
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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- 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 10-2arrow_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 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_forwardProblem 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_forward
- 7.9 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_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
- How to solve 7.2arrow_forward2. 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_forward
- Q-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_forwardQuestion: solve the given problem with complete solutionarrow_forwardHelp answer plsssarrow_forward
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