3. For a constant head laboratory permeability test on a fine sand, the followi given: Length of specimen 300 mm Diameter of specimen 200 mm Head difference 400 mm Volume of water collected in 4 minutes 420 m³ Void ratio of the soil specimen 0.55 Continuous supply Overflow 400 mm soil 300 mm Porous plate jample Horizontal area of soil sample 200 mm a. Compute the coefficient of permeability in cm/sec. b. Compute the discharge velocity in cm/sec. c. Compute the seepage velocity.

Fundamentals of Geotechnical Engineering (MindTap Course List)
5th Edition
ISBN:9781305635180
Author:Braja M. Das, Nagaratnam Sivakugan
Publisher:Braja M. Das, Nagaratnam Sivakugan
Chapter6: Hydraulic Conductivity
Section: Chapter Questions
Problem 6.7P
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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 in m/sec.
c. Compute the seepage velocity.
Transcribed Image Text: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 in m/sec. c. Compute the seepage velocity.
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