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 6.13P
To determine
Find the equivalent hydraulic conductivity for flow in the vertical direction
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A constant-head test was conducted on a sample of soil 15 cm long and 60 cm^2 in cross-sectional area. The quantity of water collected was 50 cm^3 in 20 seconds under a head difference of 24 cm. Estimate the hydraulic conductivity in cm/s with a porosity of 35% from the result of test.
a.2.6 x 10^-6
b.4.3 x 10^-3
c.7.0 x 10^-6
d.3.47 x 10^-2
CVE 331: Theoretical hydraulic conductivity calculation
Problem 1: The hydraulic conductivity of a sandy sol is 7x10 cm/sec at void ratio 0.68. What is the
hydraulic conductivity at void ratio 0.85 ?
(o.re)
A= 2,42e
k2
ei
Problem 2: The hydraulic conductivity of a clay soil is 121o* cm/sec at void ratio 0.56, and 3.1x10
cm/sec at void ratio 0.74. What is the hydraulic conductivity the soll at void ratio 0.65 ?
e3
ki
%3D
- 3. 797
GRAIN SIZE DISTRIBUTION GRAPH. A-
PROJECE
A layered soil is shown in Figure B. Estimate the ratio of equivalent horizontal and vertical
hydraulic conductivity.
1.5 m
1m
1.5 m
I m
k = 2 × 10-3 cm/sec (top layer)
k = 2 × 10-4 cm/sec
k = 10-4 cm/sec
%3D
k = 3 × 10-4 cm/sec (bottom layer)
Chapter 6 Solutions
Fundamentals of Geotechnical Engineering (MindTap Course List)
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- Refer to Figure 7.24. The following data were collected during the field permeability measurement of a confined aquifer using a pumping test. Determine the hydraulic conductivity of the permeable layer. Use Eq. (7.49). Thickness of the aquifer, H = 4.5 m Piezometric level and radial distance of the first observation well: h1 = 2.9 m; r1 = 17.8 m Piezometric level and radial distance of the second observation well: h2 = 1.8 m; r2 = 8.1 m Rate of discharge from pumping, q = 0.5 m3/minarrow_forwardGiven: Permeability, k = 40 x 104 cm/s Saturated unit weight of the soil = 20 kN/m³ Other information shown in the Figure E3-3 Determine the following: (a) Quantity of Discharge (b) Total vertical stress at Points B and D (c) Pore-water pressure at Points B and D (d) Effective vertical stress at points B and D 20.0 m 6.5 m 5.0 m 10.5 m Water YAY Concrete Impervious Figure E3-3 1.0 m VAYAYAY 5.0 marrow_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_forward
- 2. A confined aquifer is recharged by a continuous supply of water from the certain source. The average thickness of the aquifer was determined to be 25 m and the average width is 4 km. The hydraulic conductivity of the aquifer was obtained at 40 m/day and its void ratio is 0.3333. The piezometer heads in two wells 1.325 km apart are 65 meters and 60 meters from a common reference datum. Determine the rate of flow in cubic meters per day. Determine: •compute the rate of flow through the aquifer in m3/day •compute the seepage velocity in m/day •compute the time of travel from the head of the aquifer to a point 8 km downstream in daysarrow_forwardA canal is cut into a soil with a stratigraphy shown in Figure A. Assuming flow takes place laterally and vertically through the sides of the canal and vertically below the canal, determine the equivalent hydraulic conductivity in the horizontal and vertical directions. The vertical and horizontal hydraulic conductivities for each layer are assumed to be the same. Calculate the ratio of the equivalent horizontal hydraulic conductivity to the equivalent vertical hydraulic conductivity for flow through the sides of the canal. 1.1 m k = 2.0 × 10-6 cm/sec 1.4 m k = 4.5 × 10-6 cm/sec Canal 3.2 m 2.0 m k = 3.2 × 10-5 cm/sec 1.3 m k = 0.5 × 10-3 cm/sec 3.2 m k = 0.7 × 10-4 cm/secarrow_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
- 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 mmarrow_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_forwardFor 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_forward
- The hydraulic conductivity of a sand at a void ratio of 0.62 is0.03 cm/sec. Estimate its hydraulic conductivity at a void ratioof 0.48.arrow_forwardThe figure shows the layers of soll in a tube that is 100mm by 150mm in cross-section. Water is supplied to maintain a constant head difference of 450mm across the sample. The hydraulic conductivity of the soils in the direction of flow through them are tabulated as shown. Compute the flow rate in cm:/hr. k = 2 x 10* cm/s Kç = 1.75 x 10- cm/s k = 3.7 x 10 cm/s K= 2.1 x 10 cm/s Water upply outfiow 50 mm A D. 50 mm 200 200 200 mmarrow_forwardAt e = 0.8, the hydraulic conductivity of a soil sample is 0.010 cm/sec. Determine the hydraulic conductivity of the same sample at e = 1.arrow_forward
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