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 6.8P
To determine
Find the absolute permeability at
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For a falling-head permeability test, the following values are given:
· Length of specimen = 250 mm.
· Area of soil specimen = 1200 mm2.
· Area of standpipe = 50 mm2.
· Head difference at time t = 0 = 600 mm.
· Head difference at time t = 200 sec = 300 mm.
Determine the hydraulic conductivity of the soil in cm/sec.
Calculate the equivalent hydraulic conductivity for the following soil sample:
1.5 ft
Water
O: K-2x10* ft/sec
O: K=3x10* ft/sec
O: K-4x10 ft/sec
: K-5x10 ft/sec
Water
(2)
4 layers@ 0.5 ft thick each
10 ft
O 0.00035 ft/sec
O 0.00031 ft/sec
O 0.00003
Three soil samples in a permeameter overlie one another with their characteristics listed below.
Layer Hydraulic Conductivity, ft/day Length of aquifer, ft
1
10
5
2
0.20
3
0.030
12
a. Determine the equivalent hydraulic conductivity, in ft/day, if the flow is perpendicular to
the stratification.
b. If a falling head test is used, calculate the time required, in seconds, for the head to drop
from
65
to
54
ft. The cross-sectional area of the permeameter and the
standpipe are 300 square feet and 30 square feet respectively.
Chapter 6 Solutions
Fundamentals of Geotechnical Engineering (MindTap Course List)
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- 2а.) | 15% For a falling-head permeability test, the following are given: • Length of the soil specimen= 20 in. Area of the soil specimen = 4 in.? Area of the standpipe = 0.2 in.? Head difference at time t = 0 is 30 in. Head difference at time t = 10 min is 12 in. Determine the hydraulic conductivity of the soil (in./min). What was the head difference at time t = 5 min?arrow_forwardRefer to the constant-head arrangement shown in the figure. L Graduated flask Porous stone Soil specimen For a test, the following are given: •L=18 in. • A = Area of the specimen = 3.5 in.2 • Constant-head difference = h = 28 in. • Water collected in 3 min =21.58 in.3arrow_forwardFor a falling head permeability test, these valueare given: Length of the soil specimen = 200 mm Area of the soil specimen = 1000 mm2 Area of the standpipe = 40 mm2 Head difference at time, t = 0 min is 500 mm Head difference at time, t = 3 min is 300 mm1. Determine the hydraulic conductivity of thesoil in cm/sec.2. What was the head difference at time, t =100 sec?arrow_forward
- For a falling-head permeability test, the following values are given:• Length of specimen 8 in.• Area of soil specimen 1.6 in.2• Area of standpipe 0.06 in.2• Head difference at time t 0 20 in.• Head difference at time t 180 sec 12 in.Determine the hydraulic conductivity of the soil in in./secarrow_forwardCVE 331: Theoretical hydraulic conductivity calculation Problem 1: The hydraulic conductivity of a sandy sol is 7x10 cm/sec at void ratio 0.68. What is the hydraulic conductivity at void ratio 0.85 ? (o.re) A= 2,42e k2 ei Problem 2: The hydraulic conductivity of a clay soil is 121o* cm/sec at void ratio 0.56, and 3.1x10 cm/sec at void ratio 0.74. What is the hydraulic conductivity the soll at void ratio 0.65 ? e3 ki %3D - 3. 797 GRAIN SIZE DISTRIBUTION GRAPH. A- PROJECEarrow_forwardCalculate the equivalent hydraulic conductivity in the horizontal as well as the vertical direction for the given stratified soil. Layer Hydraulic conductivity (cm/sec) 1 0.002 2 0.0002 3 0.001 4 0.0003 The depth of each layer is 1 m.arrow_forward
- ANSWER THE FOLLOWING QUESTION. SHOW COMPLETE SOLUTION. H = 1.98 Hydraulic conductivity of soil E is 0.002 m/s.arrow_forwardThe hydraulic conductivity of a clayey soil is 4 x 10^-7 cm/sec. The viscosity of water at 25 deg C is 0.0911x10^-4 g.sec/sq.cm. Calculate the absolute permeability of the soil in sq.cm.arrow_forwardCalculate the equivalent hydraulic conductivity for the soil profile shown in Figure. k, = 2.3 x 10-2 cm/s k, = 8 x 10-2 cm/s 10 m 2 m k, = 5.7 x 104 cm/s, k, = 25.5 × 104 cm/s k, = 9.2 × 10-7 cm/s k, = 27 x 10-7 cm/s 10 marrow_forward
- The hydraulic conductivity of a sand at a void ratio of 0.62 is0.03 cm/sec. Estimate its hydraulic conductivity at a void ratioof 0.48.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_forwardFor a falling-head permeability test, the following values are given: Length of specimen = 200 mm Area of soil specimen = 1000 mm^2 Area of standpipe = 40 mm^2 Head difference at time t = 0 = 500 mm Head difference at timt t = 3 minutes = 300 mm Determine the hydraulic conductivity of the soil in ×10−4cmsec Please answer this asap. For upvote. Thank you very mucharrow_forward
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