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 6.4P
To determine
Find the hydraulic conductivity.
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For a falling head permeability test, the following
values are given:
Length of specimen: 200 mm
Area of specimen:1000 sq. mm
Area of standpipe: 40 sq. mm
Head difference at t= 0: 500 mm
Head difference at t= 180 sec : 300 mm
Determine the hydraulic conductivity
(cm/sec)
Refer 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.3
A sample of sand, 5 cm in diameter and 15 cm long, was prepared at a porosity of 60% in a constant-head apparatus. The total head was kept constant at 30 cm and the amount of water collected in 5 seconds was 40 cm^3. The test temperature was 20 deg C. Calculate the hydraulic conductivity. Provide a diagram
a.5.0 x 10^-2
b.3.47 x 10^-2
c.2.0 x 10^-1
d.6.7 x 10^-1
Chapter 6 Solutions
Fundamentals of Geotechnical Engineering (MindTap Course List)
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- Refer to the constant-head arrangement shown in Fig 5. For a test, the followingare 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 in3Calculate the hydraulic conductivity (in./sec).arrow_forwardA constant head test is performed using a permeameter in the laboratory. The graduated cylinder collects 892 cm3 of water in 112 seconds. The soil specimen diameter = 18 cm , th elevation of water in upper-most piezometer is 181 com , the elevation of water in lowest piezometer is 116.6 cm and the piezometer inlets are evenly spaced at 16.7 cm on center. Compute the hydraulic conductivity, k and choose the correct answer below based on that. O A. 2.1 x 10^-3 cm/second O B. 1.5 x 10^-2 cm/second O C. 2.91 x 10^-2 cm/second O D. 2 x 10^-2 cm/second QUESTION 10 Given: -Applied stress on a soil = 122 kPa %3D -Influence Factor = 0.4 Compute the change in stress at 10 m below the edge of 25 m dimeter oil tank and select the correct answer from below: O A. Change in stress = 44 kPa O B. Change in stress = 49 kPa O C. Change in stress = 40 kPa O D. Change in stress = 42 kPa %3Darrow_forwardIn a constant-head permeability test. A test gives these values: •L= 25 cm •A = 160 area of the specimen cm2 • Constant-head difference, h =1m • Water collected in a period of 5min and 40sec= 1 Liters Calculate the hydraulic conductivity in cm/sec.arrow_forward
- A sample of sand, 5 cm in diameter and 15 cm long, was prepared at a porosity of 60% in a constant-head apparatus. The total head was kept constant at 30 cm and the amount of water collected in 5 seconds was 40 cm^3. The test temperature was 20 deg C. Calculate the hydraulic conductivity. a. 6.7 x 10^-1 b. 3.47 x 10^-2 c. 5.0 x 10^-2 d. 2.0 x 10^-1arrow_forwardA glass cylinder 5 cm internal diameter with a screen at the bottom is used as a falling head permeameter. The thickness of the sample is 10 cm. The water level in the tube at the start of the test was 40 cm above tail water level and it dropped by 10 cm in one minute while the level of tail water remained unchanged. Determine the value of the coefficient of permeability in mm/s. a. 5.9 x 10^-2 b. 4.8 X 10^-1 c. 2.15 x 10^-2 d. 625 X 10^-2arrow_forwardPorous stone Soil specimen. Porous stone Graduated flask Refer to the constant head permeability test shown in the figure above. For a test, these values are given: L = 310 mm Area of the specimen A = 185 cm2 Constant head difference h = 500 mm Water collected in 3 min Q = 680 cm Calculate the hydraulic conductivity in cm/s. (Enter your answer to three significant figures.) k = cm/sarrow_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_forward(a) A particular soll sample was run thru a stack a sieves and the data shown below was obtained. Find the hydraulic conductivity in (1) gpd/12 (2) m/day (b) This method of estimating K is sufficient for some purposes, but does not glve an accurate figure of the soll's true hydraulic conductivity, even when weighing errors and graphing errors are considered. 10. Why? Cumulative Cumulative weight in grams Pan # # 6 # 8 8. # 12 54 # 16 99 # 20 166 # 40 215 #70 224 Pan 238arrow_forwardPorous stone Soil specimen h L Porous stone Graduated flask Refer to the constant head permeability test shown in the figure above. For a test, these values are given: L = 320 mm Area of the specimen A = 180 cm? Constant head difference h = 500 mm Water collected in 3 min Q = 640 cm³ Calculate the hydraulic conductivity in cm/s. (Enter your answer to three significant figures.) JUarrow_forward
- In a falling head permeameter test the initial head at t = 0 is 40 cm. The head drops by 5 cm in 10 minutes. Determine the time required to run the test for the final head to be at 20 cm. Given: Height of sample = 6 cm; cross sectional areas of sample = 50 cm2 and stand pipe = 0.5 cm2. Determine the hydraulic conductivity in cm/sec.arrow_forwardWater is flowing through three soil layers as shown in Fig. Q2. The cross-section is a square with sides of 100 mm. The hydraulic conductivity (also known as coefficient of permeability) of each soil layer is given in Table Q2. a. What is the equivalent hydraulic conductivity of the three layers? b. Determine the flow rate exiting the system. c. Determine the elevation head diagram, the total head diagram, and the pressure head diagram from point A to point B. Ah = 30 cm h, = 50 cm h2 = 20 cm B D = 10 cm 3.33 cm 3.33 сm 3.33 cm O Datum 45 cm O Datum Fig. Q2: Three-layer permeameterarrow_forwardSketch and explain the relationship between hydraulic conductivity and hydraulicgradient. If the gradient used in the laboratory is too high, will the measured hydraulicconductivity be higher or lower than the hydraulic conductivity expected in the field?Assume that the laboratory test is conducted on a specimen large enough to berepresentative of field conditionsarrow_forward
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