Principles of Geotechnical Engineering (MindTap Course List)
9th Edition
ISBN: 9781305970939
Author: Braja M. Das, Khaled Sobhan
Publisher: Cengage Learning
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Chapter 7, Problem 7.23P
To determine
Find the value of field permeability.
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shown in the figure. The coefficient of permeability of the
Water is flowing through the permeability apparatus as
coil is k m/s and the porosity of the soil sample is 0.50.
0.4 m
Soll
0.8 m
0.4 m
The total head, elevation head and pressure head
in metres of water at the point R shown in the
figure are
The figure shows the layers of soil in the tube that is 10 cm by 10 cm in cross section. When the tube is supplied with water, a constant head difference of 30 cm is observed. The coefficient of permeability of each sample are as follows:
A. Find the equivalent coefficient of permeability.
B. Determine the hydraulic gradient.
C. Compute the rate of water supply.
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
Chapter 7 Solutions
Principles of Geotechnical Engineering (MindTap Course List)
Ch. 7 - Prob. 7.1PCh. 7 - Prob. 7.2PCh. 7 - Prob. 7.3PCh. 7 - Prob. 7.4PCh. 7 - Prob. 7.5PCh. 7 - Prob. 7.6PCh. 7 - Prob. 7.7PCh. 7 - Prob. 7.8PCh. 7 - Prob. 7.9PCh. 7 - Prob. 7.10P
Ch. 7 - Prob. 7.11PCh. 7 - Prob. 7.12PCh. 7 - Prob. 7.13PCh. 7 - Prob. 7.14PCh. 7 - Prob. 7.15PCh. 7 - Prob. 7.16PCh. 7 - Prob. 7.17PCh. 7 - Prob. 7.18PCh. 7 - Prob. 7.19PCh. 7 - Prob. 7.20PCh. 7 - Prob. 7.21PCh. 7 - Refer to Figure 7.24. The following data were...Ch. 7 - Prob. 7.23PCh. 7 - Prob. 7.1CTP
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- For a falling-head permeability test, the following values are given: Length of specimen = 200 mm Area of soil specimen = 1000 mm^2 Area of standpipe = 40 mm^2 Head difference at time t = 0 = 500 mm Head difference at timt t = 3 minutes = 300 mm Determine the hydraulic conductivity of the soil in ×10−4cmsec Please answer this asap. For upvote. Thank you very mucharrow_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_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
- PROBLEM 1: 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?. The test temperature was 20°C. the Calculate coefficient of permeability? a. 0.261 cm/s b. 0.960 cm/s c. 0.204 cm/s d. 0.178 cm/sarrow_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_forward6. The following data are for a falling-head permeability test: • Length of the soil sample = 140mm • Diameter of soil sample = 70 mm • Area of the standpipe = 19.6 mm? At time t= 0, head difference 5 500 mm At time t= 7 min, head difference 5 350 mm %3D a. Determine the hydraulic conductivity of the soil (cm/sec). b. What was the head difference at t= 5 min?arrow_forward
- The following data are for a falling-head permeability test:• Length of the soil sample = 150 mm• Area of soil sample = 1964 mm^2• Area of the standpipe = 25 mm^2• At time t = 0, head difference = 400 mm• At time t = 8 min, head difference = 200 mma. Determine the hydraulic conductivity of the soil (cm/sec). (ans. 2.75x10^-4 cm/s)b. What was the head difference at t = 6 min? (ans. 23.82cm)arrow_forwardQuestion 2 * A well with a diameter of 0.6 m is constructed in a confined aquifer. The sand aquifer has a uniform thickness of 15 m, overlain by an impermeable layer with a depth of 35 m. A pumping test was conducted to determine the coefficient of permeability of the aquifer. The initial piezometric surface was 15 m. below the ground surface datum of the test well and observation wells. After water was pumped at a rated of 13 liters/sec for several days, water levels in the wells stabilized with the following drawdowns, 6.4 m in the test well, 3.7 m in the observation well 10 m from the test well, and 2.4 m in the second observation well at a distance of 30 m. From these data: o Find the depth of the water in the test well Calculate the permeability of the aquífer.arrow_forward2. The figure below shows the layers of soil in a tube 100 mm x 100 mm in cross section. Water is supplied to maintain a constant head difference of H across the sample. Hydraulic conductivities of each soil are tabulated below. All measurements in the figure are millimeters. If H =.arrow_forward
- PROBLEM D For a falling head laboratory test, the following are the given values: • Length of soil specimen 480.0 mm Initial head 700.00 mm = Final head = 395.00 mm Duration of test = 5.5 mins 0.97 sq.cm Area of standpipe Area of specimen 18.0 sq.cm A. Compute for the hydraulic conductivity of the soil in cm/sec. B. Determine the head di fference at t = 3.50 mins.arrow_forward1. (30 pts) The soil profile shown below consists of 10 meters of sandy silt overlying gravel. The pore water pressure at the top surface of the silty sand is zero and can be assumed to remain zero. a) Calculate the level to which water would rise in a piezometer tube inserted into the top of the gravel if the silty sand is just stable? Use submerged unit weights and seepage forces to arrive at your answer (do not calculate total stresses and pore water pressures). Express your answer as an elevation, e.g. "Elev. 130". (Note: Elevations are in meters) (10 pts) b) Using the piezometric elevation calculated in part (a), calculate the pore water pressure at the bottom of the silty sand if the silty sand is just stable (10 pts). c) Calculate the total stress at the base of the silty sand and show that it is equal to the pore water pressure calculated in part (b) (10 pts) Elev. 120 m. Elev. 110 m. Sandy Silt (saturated) Void ratio, e = 0.68 G = 2.65 Gravelarrow_forwardFor a constant head laboratory permeability test on fine sand, the following values are given: Length of specimen, L = 16inches Diameter of specimen, D = 3inches Head difference, h = 23inches Water collected in 120 seconds = 0.057cu.in Void ratio, e = 0.38 a. Determine the hydraulic conductivity (in/min) of the soil. b. Determine the discharge velocity (in/min) through the soil. c. Determine the seepage velocity (in/min) Please answer this asap for upvote. Thank you in advancearrow_forward
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