Fundamentals of Geotechnical Engineering (MindTap Course List)
5th Edition
ISBN: 9781305635180
Author: Braja M. Das, Nagaratnam Sivakugan
Publisher: Cengage Learning
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Chapter 6, Problem 6.2P
To determine
Find the rate of seepage through the layer in
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A permeable layer is underlain by an impervious layer, as
shown in Figure 7.30. With k = 5.2 × 10¬4 cm/s for the
permeable layer, calculate the rate of seepage through it in
m/hr/m if H = 3.8 m and a = 12°.
7.8
%3D
Groundwater table (free surface)
H
Direction
of seepage
a
Impervious layer
Permeable layer
7.1 A permeable soil layer is underlain by an impervious layer as shown in Figure 7.29.
Knowing that k = 6 x 10-³ cm/sec for the permeable layer, calculate the rate
of seepage through this layer in m³/hr/m width. Given: H = 5.4 m and
α = 7°.
Groundwater table (free surface)
H
Impervious layer Ground surface
Direction
of seepage
A permeable soil layer is underlain by an impervious layer in the figure shown. With
coefficient of permeability, k = 4.8 x 103 cm/s for the permeable layer. Given H = 3m and
angle alpha = 5°. The rate of the seepage, Q through it in m3/hr is nearest to :
Ground surface
Ground water table
1(free surface)
Direction of
seepage
Impervious layer
Chapter 6 Solutions
Fundamentals of Geotechnical Engineering (MindTap Course List)
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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_forwardA permeable soil layer is underlain by an impervious layer, as shown in Figure 6.13. With k-5.2 x 10 cm/s for the permeable layer, calculate the rate of seepage through it in m³/hr/m length. Given: H=3.8 m and a = 8º. Direction of seepage FIG. 6.13 Impervious layer Ground surface -Groundwater table (free surface)arrow_forwardA permeable soil layer is underlain by an impervious layer as shown. For permeable layer K=4.8x10-3 cm/sec. If H = 3 m and α = 5˚ (See picture below) Determine the hydraulic gradient Determine the cross-sectional area of the permeable soil layer. Determine the rate of seepage in cm3/hr/meter.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 permeable soil layer is underlain by an impervious layer, as shown in Figure 6.13. With k = 5.2 × 10–4 cm/s for the permeable layer, calculate the rate of seepage through it in m3 /hr/m length. Given: H = 3.8 m and α = 8°.arrow_forwardA permeable soil layer is underlain by an impervious layer as shown in Figure. Knowing that k= 6*102 cm/sec for the permeable layer, Calculate the rate of seepage through this layer m'/day/m width. Given: H=6 m and o= 6°. Groundwater table (free surface) H. Direction of seepagearrow_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_forwardA permeable soil layer is underlain by an imprevious layer. With k= 5.5x10^-4 cm/s for the permeable layer, calculate the rate of seepage through it in m^3/hr/length. Given: H = 4.2 m and a = 7 degrees.arrow_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=0.58 m. Head difference is 0.84 m. Inflow h Outflow Soil A Soil B Soll C d2 d3- Coefficient of Permeability for Each Soil: Soil A Kax 2.15 x 10-² cm/s Soil A Kaz 1.51 x 10-3 cm/s Soil B Kbx 1.67 x 10.2 cm/s Soil B Kbz 2.86 x 10-³ cm/s Soil C Kcx|3,30 x 102 cm/s Soil C Kcz 3.31 x 10-3 cm/s Compute the interstitial velocity if the soil has a void ratio of 0.77 in meters per minute.. Use 4 decimal places.arrow_forward
- Situation 1 – Refer to the picture. 1. Assume 3K1=K2=1.5K3=2K4 K1=3.5x10-2 (cm/s) Calculate the equivalent coefficient of permeability. 2. Assume 3K1=K2=1.5K3=2K4 K1=3.5x10-2 (cm/s) Calculate the rate of seepage 3. Assume 3K1=K2=1.5K3=2K4 K1=3.5x10-2 (cm/s) Calculate the height of water above C if piezometer was placed at that pointarrow_forwardWater flows through a sand filter as shown on the figure. The soil has a cross sectional area of 0.33 m². d1=d2=d3=0.52 m. Head difference is 0.92 m. Inflow Outflow Soil A Soil B Soil C -d1- -d2- Coefficient of Permeability for Each Soil: Soil A Kax 2.99 x 10-² cm/s Soil A Kaz 1.44 x 10-³ cm/s Soil B Kbx 1.63 x 10-2 cm/s Soil B Kbz 2.22 x 10-³ cm/s Soil C|Kcx|3.15 x 102 cm/s Soil C Kcz 3.17 x 10-3 cm/s Compute the flow of water through the soils in liters/sec. Use 4 decimal places.arrow_forwardGiven 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/sarrow_forward
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