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MindTap Engineering for Das/Sobhan's Principles of Geotechnical Engineering, SI Edition, 9th Edition, [Instant Access], 2 terms (12 months)
9th Edition
ISBN: 9781305971264
Author: Braja M. Das; Khaled Sobhan
Publisher: Cengage Learning US
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Chapter 7, Problem 7.5P
To determine
Find the rate of flow in
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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
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.
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
k3
Chapter 7 Solutions
MindTap Engineering for Das/Sobhan's Principles of Geotechnical Engineering, SI Edition, 9th Edition, [Instant Access], 2 terms (12 months)
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 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_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
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- A 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_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_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
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