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 6.17CTP
To determine
Find the equivalent hydraulic conductivity along horizontal direction
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For a falling-head permeability test, the following values
are given:
Length of specimen = 200 mm
%3D
Area of soil specimen = 1000 mm^2
%3D
Area of standpipe = 40 mm^2
Head difference at time t = 0 = 500 mm
Head difference at timt t 180 seconds = 350 mm
%D
%3D
Determine the hydraulic conductivity of the soil in
x10 4 cm
sec
A falling head hydraulic conductivity test is
performed on a sample of soil. 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
%3D
• Head difference at time t=180 sec = 12 in
a. Find the coefficient of permeability of soil
b. Compute the rate of flow of water in the soil
The 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 mm
Chapter 6 Solutions
Fundamentals of Geotechnical Engineering (MindTap Course List)
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- The results of a constant-head permeability test for a fine sand sample having a diameter of 70 mm and a length of 140 mm are as follows (refer to Figure 7.5):• Constant-head difference = 550 mm• Water collected in 7 min = 450 cm3• Void ratio of sand = 0.8Determine:a. Hydraulic conductivity, k (cm/sec)b. Seepage velocityarrow_forwardHYDRAULIC CONDUCTIVITY PROBLEM 1: The results of a constant head permeability test for a fine sand and sample having a diameter of 150 mm and a length of 150 mm are as follows: Constant head difference = 40 cm Time of collection of water = 83 sec Weight of water collected = 392 g Find the hydraulic conductivity a. 0.094 cm/sec b. 0.01 cm/sec C. c. 0.005 cm/sec d. 0.86 cm/secarrow_forward6.5 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 conarrow_forward
- 1. The figure shows layers of soil in a tube that is 100mm x 100mm in cross – section. Water 3. For a constant head laboratory permeability test on a fine sand, the followi is supplied to maintain a constant head difference of 400mm across the sample. The given: hydraulic conductivities of the soils in the direction of flow through them are as follows: Soil k (cm/sec) Porosity, n Length of specimen 300 mm A 1x 10-2 25% Diameter of specimen 200 mm 3х 103 32% Head difference 400 mm C 4.9 x 10-4 22% Volume of water collected in 4 minutes 420 m3 Void ratio of the soil specimen 0.55 Water supply Continuous supply Overflow Constant head difference = 400 mm 400 mm A B -soil. sample 300 mm Porous plate 150 mm 150 mm Horizontal area of soil sample 200 mm 200 mm a. Calculate the equivalent k in cm/sec. a. Compute the coefficient of permeability in cm/sec. b. Calculate the rate of water supply in cm³/hr. b. Compute the discharge velocity in cm/sec. c. Calculate the seepage velocity through soil C…arrow_forwardThe results of a constant-head permeability test for a fine sand sample having a diameter of 150 mm and a length of 300mm are as follows; Constant Head Difference = 500mm Time of Collection of Water = 5 min. Volume of Water Collected = 350cm³ Temperature of Water = 25°C Find the hydraulic conductivity for the soil at 20°Carrow_forwardThe results of a constant-head permeability test for a fine sand sample having a diameter of 150 mm and a length of 300 mm are as follows • Constant-head difference = 500 mm • Water collected in 5 min = 350 cm3 • Void ratio of sand = 0.61 Determine: a. Hydraulic conductivity, k (cm/sec) b. Seepage velocityarrow_forward
- For 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_forwardThe results of a constant-head permeability test for a sand sample having a sectional area of 10000mm2 and a length of 200 mm are as follows: (1) Constant head difference 400mm (2) Time of collection of water = 30 seconds (3) Volume of water collected = 600 cm3. The hydraulic conductivity is: Oa. 1.0 mm/sec Ob. 1,7mm/sec c. 2.9 mm/sec O d. 0.5mm/secarrow_forwardA soil profile consisting of three layers is shown in the figure below. if H1=3m, H2=8m, and H3=4m. Calculate the total stress, pore water pressure and effective stress at points A, B, C, and D Plot the variations of o, u, and o' with depth. A H1 e = 0.7, Gg = 2.69 Layer 1 B Groundwater table H2 e = 0.55, G; = 2.7 Layer 2 H3 e= 1:2; w = 38% Layer 3arrow_forward
- For a decreasing load permeability test, the following are given values: - Sample length: 200 mm - Soil sample area: 1000 mm² - Piezometer area: 40 mm² - Load difference at instant t = 0: 500 mm - Load difference at instant t = 180 s: 300 mm Determine the hydraulic conductivity of the soil in cm/s.arrow_forward9.1 Through 9.3 A soil profile consisting of three layers is shown in Figure 9.25. Calculate the values of ơ, u, and o' at points A, B, C, and D for the following cases. In each case, plot the variations of ơ, u, and o' with depth. Characteristics of layers 1, 2, and 3 for each case are given below: H Layer I Groundwater table H2 Layer 2 Layer 3 | Dry sand Sand a Clay Rock Figure 9.25 Layer no. Thickness Soll parameters H; = 2.1 m Hz = 3.66 m - 1.83 m Ye = 17.23 kN/m 18.96 kN/m 18.5 kN/m 9.1 Yut 3 H3 Yautarrow_forwardConstant head test was conducted to determine the permeability constant of a certain soil sample. The table below shows the data gathered: Constant Head (cm) 29.14 Elapsed Time (s) Add your answer 141 Outflow Volume (cm³) 939 KT (cm/sec) The inner dimensions of the ring are: d = 6.2cm and h = 1.92cm where d is the diameter of the ring and h is the height of the ring. Determine the coefficient of permeability (cm/sec) of the soil sample. Round your answer to 4 decimal places.arrow_forward
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