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 6.7P
To determine
Find the hydraulic conductivity of the clay specimen (k) and the quantity of water collected using the constant head permeability test (Q).
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(b) The results of a constant head permeability test for a fine sand having a diameter of
90 mm and a length of 160 mm are given as follow.
Determine
constant head difference
water collected in 7 min
void ratio of sand
= 580 mm
= 470 cm³
= 0.8
(i) Hydraulic conductivity in, k in (cm/sec).
(ii) Seepage velocity.
A double drain consolidation test was performed on a sample of marine clay. The thickness of the clay layer is 50mm and the hydraulic conductivity during the test was 1,753x10-8 m/min. During the test the following data were determined.
σ '1= 300 ??/?2 e= 0.42
σ '2= 500 ??/?2 , e=0.30
Determine: The time to reach 75% consolidation
The excess water pressure value after 50 min of starting the test at 10 mm depth
Problem 2
A constant head permeability test was carried out on a cylindrical sample of sand 4 in. in diameter and 6
in. in height. 10 in3 of water was collected in 1.75 min, under a head of 12 in. Compute the hydraulic
conductivity in ft/year and the velocity of flow in ft/sec.
Problem 3.
A sand sample of 35 cm2 cross sectional area and 20 cm long was tested in a constant head
permeameter. Under a head of 60 cm, the discharge was 120 ml in 6 min. The dry weight of sand used
for the test was 1 120 g, and Gs = 2.68. Determine (a) the hydraulic conductivity in cm/sec, (b) the
discharge velocity, and (c) the seepage velocity.
Chapter 6 Solutions
Fundamentals of Geotechnical Engineering (MindTap Course List)
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- 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_forwardThe data from a falling-head test on a silty clay are: Cross sectional area of soil = 1000 mm^2 Length of soil sample = 200 mm Area of stand pipe = 40 mm^2 Head difference at time t = 0 is 500 mm Head difference at time t = 3 min is 300 mm a) Determine the hydraulic conductivity of the soil in cm/sec. b) What is the head difference at time t = 100 sec in mmarrow_forwardFor 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_forward
- A fine sand was tested in situ to give a coefficient of permeability of 3.7 x107 m/s. A sample of the same sand, 400mm high and 100 mm in diameter was then tested in a constant head permeameter. Water percolated through the soil under a head of 600mm for 5 minutes and the discharge water had a volume of 1300mm. Determine whether the in situ testing was reflected by the laboratory results and If the below water retaining structure is 140m in width, based on a coefficient of permeability of 7.8x10°m/s, determine the quantity of water that will flow through the soil and under the structure per day.arrow_forwardProblem (3) The hydraulic conductivity of a sand specimen at a void ratio of 0.55 is 0.051cm/sec. Estimate its hydraulic conductivity at a void ratio of 0.7.arrow_forwardProblem: For a constant laboratory permeability test on a fine sand, the following data are given: Length of specimen - 16 cm Diameter of specimen - 9.6 cm Constant head difference - 50 cm Volume of water collected in 4 min - 420 cc Void ratio of the soil specimen - 0.55 A.) Determine the hydraulic conductivity of the soil in cm/sec B.) Determine the discharge velocity in cm/sec C.) Determine seepage velocity in cm/sec Problem: For a falling head permeability test, the following are given: Length of Soil Specimen - 200mm Area of Soil Specimen - 1000mm^2 Area of Stand pipe - 40mm^2 Head Difference at time t = 0 min - 500mm Head Difference at time t = 3 min - 300mm A.) Compute hydraulic conductivity of the soil in cm/sec B.) Compute the seepage velocity if the porosity is 0.25 in cm/sec C.) What is the head difference at time t = 100 sec in mmarrow_forward
- Problem: For a constant laboratory permeability test on a fine sand, the following data are given: Length of specimen - 16 cm Diameter of specimen - 9.6 cm Constant head difference - 50 cm Volume of water collected in 4 min - 420 cc Void ratio of the soil specimen - 0.55 A.) Determine the hydraulic conductivity of the soil in cm/sec B.) Determine the discharge velocity in cm/sec C.) Determine seepage velocity in cm/secarrow_forwardSubject: Soil Mechanics Please provide a solution and a diagram 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. a. 1.081 x 10^-3 b. 2.56 x 10^-2 c. 1.31 x 10^-7 d. 1.23 x10 ^-5arrow_forward2. Situation 2 - For a constant laboratory permeability test on a fine sand, the following data are given: Length of specimen = 16 cm Diameter of specimen = 96 mm Constant Head Difference = 50 cm Volume of water collected in 4 min = 420 cc Void ratio of the soil specimen = 0.55 a. Determine the hydraulic conductivity of the soil in m/min. Round off to four decimal places. b. Determine the discharge velocity in m/min. Round off to four decimal places. c. Determine the seepage velocity in m/min. Round off to four decimal places.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 free body diagram. a.1.31 x 10^-7 b.1.081 x 10^-3 c.2.56 x 10^-2 d.1.23 x10 ^-5arrow_forward2. Estimate the hydraulic conductivity (in cm/sec) of a poorly graded sand with the following characteristics: d100 = 0.425mm, d50= 0.3mm, d30 = 0.25mm, d10= 0.2mm, and do = 0.1mm. Show your work and circle your answer.arrow_forwardA constant-head test was conducted on a sample of soil 15 cm long and 60 cm2 in cross-sectional area. The quantity of water collected was 50 cm3 in 20 seconds under a head difference of 24 cm. Calculate the hydraulic conductivity. If the porosity of the sand is 55%, calculate the average velocity and the seepage velocity. Estimate the hydraulic conductivity of a similar soil with a porosity of 35% from the results of this test. What is the soil type tested?arrow_forward
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