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 6.10P
To determine
Find the hydraulic conductivity of sand in the field (k).
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For a sandy soil, the following are given: • Maximum void ratio = 0.72 • Minimum void ratio = 0.46 • Hydraulic conductivity at a relative density of 80% = 0.006 cm/sec. Determine the hydraulic conductivity of the sand at a relative density of 67%.
Calculate the equivalent hydraulic conductivity in horizontal and vertical direction for the soil profile shown in Figure Q3. [Hint: Assume head loss of each layer is equal to its thickness (zi=hi)].
A falling-head permeability test was carried out on a clay soil of diameter 100 mm and length150 mm. In 4 minutes the head in the standpipe of diameter 5mm dropped from 680 to 350mm. Calculate the hydraulic conductivity of this clay.
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Fundamentals of Geotechnical Engineering (MindTap Course List)
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- b) For a constant head permeability test on a sand, these values are given:Length of the specimen = 720 mmDiameter of the soil specimen = 210 mm2Head difference = 990 mmWater collected in 5.5 min = 635 cm3Void ratio of the soil = 0.54Hence, determine:i) Hydraulic conductivity of the soilii) Discharge velocityiii) Seepage velocityarrow_forwardThe hydraulic conductivity of a sand at a void ratio of 0.750 is 0.047 cm/s. Estimate the coefficient of permeability at a void ratio of 0.450 1. Using Casagrande equation 2. Using Kozeny-Carman equationarrow_forwardFor a falling head permeability test, these values are given: Length of the soil specimen = 200 mmArea of the soil specimen = 1000 mm2Area of the standpipe = 40 mm2Head difference at time t = 0 is 500 mmHead difference at time t = 3 min is 300 mm Determine: Hydraulic conductivity of the soil in cm/sec.Head difference at time t = 100 sec.arrow_forward
- For 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_forwardFor a variable head permeability test, these values are 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 is 500 mm• Head difference at time t 3 min is 300 mma. Determine the hydraulic conductivity of the soil in cm/sec.b. What was the head difference at time t 100 sec?arrow_forwardIn the setup below, the soil's hydraulic conductivity is in m/s and it's void ratio is 1. Determine the hydraulic conductivity, the elevation head and pressure head at point A, and the discharge velocity through the soil sample.arrow_forward
- For a laboratory consolidation test on a clay specimen (drained on both sides) the following results were obtained: Thickness of clay soil= 25 mm; P_1 = 50 kPa; P_2 = 120 kPa; e_1 = 0.92; e_2 = 0.78; Time for 50% consolidation= 2.5 min. Tv = 0.197. Determine the hydraulic conductivity of the clay for the loading range in m/min. Show diagramarrow_forwardFor 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.arrow_forwardFor 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 0.61Determine:a. Hydraulic conductivity, k (cm/sec)b. Seepage velocityarrow_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_forwardA sand has Gs = 2.66. Calculate the hydraulic gradient that will cause boiling for e = 0.35, 0.45, 0.55, 0.7, and 0.8.arrow_forward
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