Laboratory 4
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Georgia Institute Of Technology *
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3400
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Civil Engineering
Date
Apr 3, 2024
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docx
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Georgia Institute of Technology
School of Civil and Environmental Engineering
Hydraulic Conductivity Laboratory
MEMORANDUM
To: Emre Duman Date: February 29, 2023
From: Sachinshripadh Dasu, A3-1 Lab Partners: Stephen Grafius, Marty Robert James Jr.,
Ashley Eun Joo Jhun
Subject: CEE 3400
Sample(s) Description:
Name: Ottawa 50-70 sand
Source: In-Situ
Condition: Wet, saturated
Visual Classification and Unified Symbol: SM
Remarks: Ottawa 50-70 sand was used as a soil sample for this laboratory experiment.
Test Procedure:
Test Procedures:
ASTM D2434-22: Standard Test Method for Measurement of Hydraulic Conductivity of Coarse-
Grained Soils
ASTM D5084-16a: Standard Test Method for Measurement of Hydraulic Conductivity of Saturated Porous Materials Using a Flexible Wall Permeameter
The ASTM standards used in the Hydraulic Conductivity laboratory are ASTM D2434 and
ASTM D5084. The purpose of the Hydraulic Conductivity laboratory is to determine the hydraulic
conductivity of a soil sample based on two tests: the Rigid Wall Constant Head Hydraulic
Conductivity Test and the Flexible Wall Constant Head Hydraulic Conductivity Test. The
experiment was performed as specified by the test procedures and was able to achieve the results as
well. The methods used in this laboratory are the best way to test this property of the soil sample. Test Results:
1.
The table below, Table 1. Rigid Wall Constant Head Hydraulic Conductivity Test Data,
includes the data collected in the experimental laboratory for each trail of each test as well
as the calculated hydraulic conductivity. Sample calculations are also shown below.
Trail
Head on
Specimen ‘h’
(cm)
Time between
Readings ‘t’
(s)
Volumetric
Flow Rates
‘Q’ (cm
3
/s)
Hydraulic
Conductivity
‘k’ (cm/s)
Averaged
Hydraulic
Conductivity
‘k’ (cm/s)
1
h(top)=77cm
30
1.
2.833
1.
0.114
0.112
h(bottom)=0cm
h = h(top)-
h(bottom) =
77cm
2.
2.833
3.
2.733
4.
2.733
5.
2.767
2.
0.114
3.
0.110
4.
0.110
5.
0.111
2
h(top)=164cm
h(bottom)=70cm
h = h(top)-
h(bottom) =
94
cm
30
1.
3.567
2.
3.667
3.
3.600
4.
3.600
5.
3.700
1.
0.117
2.
0.121
3.
0.118
4.
0.118
5.
0.122
0.119
Table 1. Rigid Wall Constant Head Hydraulic Conductivity Test Data
Sample Calculations:
h = h(top) – h(bottom) = 77 – 0 = 77 cm
k
=
QL
A h
L = 15.3 cm
A
=
π
4
(
D
)
2
=
π
4
(
6.3
)
2
= 4.984
k
=
2.833
∗
15.3
4.984
∗
77
=
0.114
The table below, Table 2. Flexible Wall Falling Head Hydraulic Conductivity Test Data,
includes the data collected in the experimental laboratory for each trail of each test as well
as the calculated hydraulic conductivity. Sample calculations are also shown below.
Tria
l
Additional
Inflow
Pressure
(psi)
Inflow
Pipet
(cm)
Outflow
Pipet
(cm)
Initia
l
Head
‘h1’
(cm)
Final
head
‘h2’
(cm)
Time
‘t’
(s)
Hydraulic
Conductivity
‘k’ @ 20 C
⁰
(cm/s)
q(in)
(cm
3
/s)
q(out)
(cm
3
/s)
1
0
Initial
1.8
21.6
19.8
19.2
45
0.000866
2.398
2.326
Final
3.1
22.3
2
1
Initial
3.2
19.8
16.6
10.5
30
0.01933
3.016
1.908
Final
6.4
16.9
3
2
Initial
6.4
21.2
14.8
10.2
15
0.03142
5.378
3.706
Final
8.8
19
Sample Calculations: h1 = Outflow Pipet (Initial) – Inflow Pipet (Initial) = 21.6 – 1.8 = 19.8 cm
h2 = Outflow Pipet (Final) – Inflow Pipet (Final) = 22.3 – 3.1 = 19.2 cm
k = aL
2
At
ln
(
h
1
h
2
)
a = 1 cm
2
L = 13.8 cm
A
=
π
4
(
D
)
2
=
π
4
(
6.94
)
2
= 5.451 cm
2
k = 1
∗
13.8
2
∗
5.451
∗
45
ln
(
19.8
19.2
)
=
0.000866
cm/s
q(in) = V
t
=
5.451
∗
19.8
45
=
2.398
cm
3
/s
q(out) = V
t
=
5.451
∗
19.2
45
=
2.326
cm
3
/s
Analysis and Discussion:
The purpose of the Hydraulic Conductivity laboratory is to determine the hydraulic
conductivity of a soil sample based on two tests: the Rigid Wall Constant Head Hydraulic
Conductivity Test and the Flexible Wall Constant Head Hydraulic Conductivity Test. The
experiment was performed as specified by the test procedures and was able to achieve the results as
well. The methods used in this laboratory are the best way to test this property of the soil sample. Possible sources of error with the laboratory experiment are human error with measuring the
elevation heads of the Rigid Wall test, human error with measuring the discharge water in the Rigid
Wall test, and issues with reading the measurements of the tubes on the Flexible Wall test. These
sources of error could greatly influence the data collected in the laboratory, and also the calculated
hydraulic conductivity of the test sample.
There are also several engineering applications to using the Rigid Wall and Flexible Wall
test. The biggest implication is building construction as it is important to determine the water content
of the soil that a building is being built on. The hydraulic conductivity can help determine the water
content of a soil sample. 1.
The three values obtained for the hydraulic conductivity in the flexible wall falling head test
are 0.000866 cm/s, 0.01933 cm/s, and 0.03142 cm/s. The most accurate result is most likely
the third trial. This is because of the additional pressure applied to the test sample. The
additional pressure would allow for the soil to better compact better and allow for the water
to seep through more evenly. This is also shown in the results as the last two trials are more
closely related than the first trial, where the first trial is significantly lower than the
subsequent trials.
2.
The two values obtained for the hydraulic conductivity in the rigid wall constant head test
are 0.112 cm/s, and 0.119 cm/s. The most accurate trial would most likely be the second
trial. This is because the test is conducted with a higher top elevation, causing the flow of
water out of the experimental apparatus to be lower than the first trial, where the top
elevation is lower. This lower flowrate would cause less human error when shutting off the
valve when conducting the test in 30 second intervals. This lower flowrate would yield
more accurate results when conducting multiple trials, as done in this experimental
laboratory.
3.
After comparing the values obtained in the rigid wall test and the flexible wall test, the
flexible wall test seems to be the better test. This is because the flexible wall test is more
oriented towards a fine-grained sand, such as Ottawa 50-70, which is the laboratory sample
tested in this experiment (Ankeny et. Al. 1991). Rigid wall tests are more oriented towards
course-grained soil samples, so it is reasonable to assume that the flexible wall test is the
more accurate test in this experiment.
4.
Both of the calculated hydraulic conductivities (rigid wall and flexible wall tests) can be
compared to typical values. The typical range for the hydraulic conductivity of fine-grained
sand is about 1*10(E-13) to 1*10(E-7) cm/s. The hydraulic conductivity calculated in both
experiments in this laboratory are higher than the expected range of values that are typically
found for fine-grained sands. The values would differ due to human and trial error
conducted in the laboratory.
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