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 6.5P
(a)
To determine
Find the hydraulic conductivity.
(b)
To determine
Find the seepage velocity
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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
HYDRAULIC 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/sec
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 velocity
Chapter 6 Solutions
Fundamentals of Geotechnical Engineering (MindTap Course List)
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- 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 0.61Determine:a. Hydraulic conductivity, k (cm/sec)b. Seepage velocityarrow_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_forwardFor 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 secarrow_forward
- 2. 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_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_forwardFor a constant head laboratory permeability test on a fine sand, the following are given: Length of specimen = 250 mm Dia. of specimen = 62.5 mm Head difference = 450 mm Water collected in 2 min. = 484 cu.mm Determine the discharge velocity in mm/sec. 0.0789 mm/sec 0.001315 mm/sec 4.734 mm/sec 0.0438 mm/secarrow_forward
- (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.arrow_forward1. For a constant head laboratory permeability test on a fine sand, the following values are given: L = 300 mm; D₁ = 200 mm; h = 400 mm; Vol = 420 m³; t = 4 min; e = 0.55. a. Compute the coefficient of permeability in cm/sec. b. Compute the discharge velocity in cm/sec. c. Compute the velocity. seepage 2. For a falling head permeability test, the following are given. Length of specimen is 380 mm, are of specimen - 6.5 cm², hydraulic conductivity of soil specimen is 0.175 cm/min. a. What should be the area of the stand pipe for the head to drop from 650 cm to 300 cm in 8 min?arrow_forwardQuestion 23 The results of a constant head permeability test for a fine sand are as follows: Diameter of the sample = 47 cm Length of sample = 57 cm Constant head difference = 29 cm Time of collection = 345 secs Weight of water collected = 429 grams Find the seepage velocity in cm/min. if the void ratio is 0.32. Round off to four decimal places.arrow_forward
- Q9) The results of a constant head permeability test for a fine sand are as follows: Diameter of the sample = 31 cm Length of sample = 98 cm Constant head difference = 52 cm Time of collection = 364 secs Weight of water collected = 448 grams Find the seepage velocity in cm/min. if the void ratio is 0.33. Round off to four decimal places.arrow_forwardA 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 soilarrow_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_forward
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