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 7.21P
To determine
Find the ratio of equivalent permeability
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A layered soil is shown in the figure below. Given that
H1 = 1 m, k1 = 10-4 cm/sec
H2 = 1 m, k2 = 2.8 x 10-2 cm/sec
H3 = 2 m, k3 = 3.5 x 10-5 cm/sec
Estimate the ratio of equivalent permeability, kH(eq)/kV(eq).
Given the following:
H1 = 1.5 m
H2 = 3.0 m
H3 = 2.0 m
K1 = 0.001 cm/sec
K2 = 0.032 cm/sec
K3 = 0.000041 cm/sec
1. Find the effective average permeability of the
deposit in the horizontal direction. (in cm/s)
2. Find the effective average permeability of the
deposit in the vertical direction. (in cm/s)
3. What is the ratio of the equivalent hydraulic
conductivity?
6.5
Refer to Figure 6.4. For a constant head permeability test in a sand, the
following values are given:
•
L = 350 mm
•
A= 125 cm²
•
h = 420 mm
•
•
Water collected in 3 min = 580 cm³
Void ratio of sand = 0.61
Determine:
a. Hydraulic conductivity, k (cm/s)
b. Seepage velocity
dified con
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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- A canal is cut into a soil with a stratigraphy as shown. Assume that flow takes place horizontally and vertically through the sides of the canal and vertically below the canal. The values of k in each layer is 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 horizontal direction 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. 1.0 m k = 2.3 x 10* cm/s 1.5 m T. k = 5.2 x 10 cm/s 3.0 m 2.0 m k = 2 x 10 cm/s 1.2 m k- 0.3 x 10 cm/s 3.0 m k = 0.8 x 10° cmn/sarrow_forwardA natural deposit of soil was found to have a water content of 27% and to be 88% saturated. Gs=2.7.Calculate (a) the void ratio, e; (b) the porosity, n; and (c) the dry density, ρd. (use kg/m^3 for density units). Include phase diagrams.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=0.52 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_forward
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- Three layers of soil are shown with the corresponding values of coefficient of permeability. K = 4 x 103 cm/sec 3 m К 3 5 х 103 сm/sec 4 m 5 m K3 = 6 x 103 cm/sec What is the equivalent vertical coefficient of permeability (in cm/s) ? O 5.035 x 103 cm/s O 4.113 x 10 3 cm/s 3.085 x 103 cm/s O 2.839 x 103 cm/sarrow_forwardWater flows through a sand filter as shown on the figure. The soil has a cross sectional area of 0.25 m². d1=d2-d3=0.58 m. Head difference is 0.93 m. 7 Inflow Outflow Soil A Soil B Soil C d3 Coefficient of Permeability for Each Soil: Soil A Kax 2.71 x 10-² cm/s Soil A Kaz 1.58 x 10-³ cm/s Soil B Kbx 1.40 x 10-² cm/s Soil B Kbz 2.56 x 10-³ cm/s Soil C Kcx 3.23 x 102 cm/s Soil C Kcz 3.19 x 10-³ cm/s Compute the interstitial velocity if the soil has a void ratio of 0.76 in meters per minute.. Use 4 decimal places.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
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