_Lab 6_ Groundwater and Glaciers (Emma Born).docx
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50
Subject
Geography
Date
Dec 6, 2023
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17
Uploaded by DrFreedom7290
100 points total
Name: Emma Born
Lab Section:
EPS 50: Fall 2022
LAB 6: GROUNDWATER AND GLACIERS
Due one week from today
at the start of your lab section
Introduction
Saline water in the oceans and seas comprises the great majority of Earth’s water (96%).
Freshwater resources, however, provide people with the water they need every day to live.
Glaciers and polar ice hold the highest percentage of freshwater on Earth, but these are not
easily accessible to most of the population. Water sitting on the surface is easy to visualize,
such as rain that falls on the land and runs off into streams and rivers. But there is also plenty
of water beneath our feet -- in fact, of the freshwater on Earth, much more is stored in the
ground than is available in rivers and lakes (mostly within a half-mile of the surface). This water
that infiltrates into the ground is called
groundwater
. Groundwater is a vital resource, and so
it is important for society to both understand and manage.
Part 1: Groundwater Flow
Scenario:
The Smiths just bought a new house a few months ago. But recently, they started
noticing a strange smell when they took showers and that the drinking water had a foul taste
to it. The local TV station ran a report yesterday on leakage from storage tanks at gas
stations, and the Smiths suspected that this might be the cause of their problem. They hired
a local environmental consulting firm, which has put you, an all-star EPS 50 student, in
charge. The figure below is a map of the Smith’s new problem. You have surveyed the
neighborhood, and measured the amount (ppm) of semi-volatile compounds in the soil
around the Smith’s home (marked with dots). These compounds are released into the ground
when corroded gas tanks leak and indicate groundwater contamination. Concentrations of
these compounds over 50 parts per million (ppm) are considered dangerous.
Figure 1.
The distribution and concentration (ppm) of semi-volatile compounds in the ground
around the Smiths neighborhood. nd = no detection.
2
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1) Make a contour map of groundwater contamination in the area by drawing
contour lines for 10 ppm, 30 ppm, and 50 ppm. Use different pencil colors for
“above the danger threshold” (>50 ppm), “probable future threat” (30-50 ppm), and
“possible future threat” (10-30 ppm). (10 pts)
2) Does either gas station have a leakage problem? Explain your reasoning. (5 pts)
I would argue that both gas stations have a leakage problem because they both fall within the
‘above danger threshold’
3) What additional problem(s) does your contour map reveal? (3 pts)
The contour map also reveals a potential other source of leakage southwest of both gas
stations
4) In which direction does the local groundwater flow? How do you know? (4 pts)
From the Map, it is clear that groundwater flows in the NW direction. This is apparent
because of the shape of the contour lines with respect to the gas stations (i.e. the source of
contamination). The contour lines point in the NW direction and indicate that as
compounds are released into the ground, they flow outward in the NW direction primarily.
3
Part 2: Darcy’s Law
Darcy’s law is an empirical equation that describes the flow of a fluid through a porous
medium. This law was formulated by Henry Darcy in the 19
th
century based on experiments
on the flow of water through beds of sand, and is widely used in Earth science (especially
hydrology). In this section, we are going to conduct a simple experiment to verify Darcy’s law
and estimate
permeability (k)
, the ability of a porous material to allow fluids to pass through
it. Darcy’s law can be described as:
where
Q
is the total discharge (m
3
/s),
A
is the cross-sectional area of flow (m
2
),
µ
is the
viscosity of the fluid (Pa
ᐧ
s),
P
a
-P
b
(ΔP) is the fluid pressure change from A to B (Pa), and
L
is
the distance the fluid travels (m).
Figure 2.
Schematic of Darcy’s law.
4
5) Solve for the units of permeability, k. Show your work. (4 pts)
k = Q*
𝜇
*L/(A*
𝜟
P)
*in units of m
2
6) Permeability (k) is proportional to the square of sediment particle size (D)
(explicitly, k
∝
D
2
). There are four samples of equally well-sorted sediments in the
figure below, with average grain size decreasing from A to D. Order the samples
from lower to higher permeability. (4 pts)
A
B
C
D
lower k
higher k
__D___
_C____
___B__
__A___
7)
Permeability
(k)
is
also
affected
by
the
extent
of
sediment
sorting
(the
5
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distribution of sediment grain sizes present). Order the samples of poorly-sorted
(A), moderately-sorted (B, C), and well-sorted (D) sediments from lower to higher
permeability. (4 pts)
A
B
C
D
lower k
higher k
_A____
_B____
_C____
__D___
Next, we are going to test Darcy’s law with a device similar to Figure 2 and use it to measure
the permeability of fine and coarse sand. You are going to measure the discharge
(Q)
and the
pressure change
(ΔP)
from one end to the other. The pressure can be calculated from the
height of the water column
(h)
using
ΔP
=
ρgh
where
ρ
is
the
density
of
room-temperature
water
(kg/m
3
)
and
g
is
the
gravitational
acceleration constant (m/s
2
).
*Make sure to record your measured heights, grain sizes, and
cross-sectional areas in terms of meters (m).
8) Record your measurements and calculated quantities from your Darcy’s law
experiments in the table below. (26 pts)
Observation
Container A (coarse sand)
Container B (fine sand)
Grain size (m)
4*10
-3
m
10
-3
m
A (m
2
)
5.31 * 10
-4
m
2
5.31 * 10
-4
m
2
h (m)
h
sand
= 5.5 cm = 0.055 m
h
water
= 5.45 cm = 0.0545 m
h
sand
= 5.15 cm = 0.0515 m
h
water
= 5.56 cm = 0.0556 m
6
ΔP (Pa)
1000[kg/m
3
]*9.81[m/s
2
]*0.0545
[m] = 534.645 [kg/(m*s
2
)]
1000[kg/m
3
]*9.81[m/s
2
]*0.0556[
m] = 545.436 [kg/(m*s
2
)]
Total volume of water
V
1
(after 20 s) (m
3
)
3.8e-5 m
3
5e-6m
3
V
2
(after 40 s) (m
3
)
4e-5 m
3
6e-6m
3
V
3
(after 60 s) (m
3
)
4e-5 m
3
8e-6m
3
V
4
(after 80 s) (m
3
)
4e-5 m
3
9e-6m
3
Discharge Q
1
(m
3
/s)
1.9e-6 m
3
/s
2.5e-7
Q
2
(m
3
/s)
2e-6 m
3
/s
3e-7
Q
3
(m
3
/s)
2e-6 m
3
/s
4e-7
Q
4
(m
3
/s)
2e-6 m
3
/s
4.5e-7
AVERAGE
DISCHARGE
Q
avg
(m
3
/s)
1.975e-6
3.5e-7
9) In this experiment we try to keep the water height (h) roughly constant. What
quantities
would be affected during the experiment if the water height were
allowed to change? Explain. (4 pts)
Height must be kept constant throughout the experiment (for both coarse and fine sand)
to ensure a consistent measurement for change in pressure in both the variables. If
there is variability in the height, the pressure goes from being a constant value to a
variable value. If the derivation for change in pressure is constant (meaning the height is
constant for each experiment), then we will receive an accurate measurement for
discharge. In sum, if water height were to change, the change in pressure would vary
7
and thus so would the discharge, Q.
10) The viscosity of water at room temperature is ~8.9
ᐧ
10
-4
Pa
ᐧ
s. Use this value,
values from your table, and the Darcy’s law equation to calculate the permeability
of the coarse and fine sand samples. Show your work. (8 pts)
k = Q*mu*L/(A*ΔP)
A. Coarse sand
Q = 1.0167e-6
mu = 8.9e-4
L = 5.5cm = 0.055m (slightly different height for coarse sand than fine sand)
A = 5.31e-4
ΔP = 534.645
k = 1.0167e-6 * 8.9e-4 *
0.055 / (5.31e-4 * 534.645) = 1.753e-10
B. Fine sand
Q = 3.5e-7
mu = 8.9e-4
L = 5.15
A = 5.31e-4
ΔP = 545.436
k = 3.5e-7 * 8.9e-4 * 0.0515 / ( 5.31e-4 * 545.436) = 5.539e-11
8
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Permeability
Pervious
Semi-Pervious
Impervious
k
(m
2
)
10
-7
10
-8
10
-9
10
-10
10
-11
10
-12
10
-13
10
-14
10
-15
10
-16
10
-17
10
-18
10
-19
Well sorted
gravel
Well sorted sand or
sand & gravel
Very fine sand & silt
11) Above is a table for the permeability of various unconsolidated sediment sizes.
Indicate whether your coarse and fine sands are pervious, semi-pervious, or
impervious. Describe two sources of experimental error that could affect your
estimations of permeability. (6 pts)
Coarse sand:
______Pervious_____________________
Fine sand:
__________Semi-Pervious_________________
Sources of error:
the height of the porous medium (i.e. the grain level) wasn’t constant for both coarse
sand and fine sand. Similarly, the height of the initial water level above the sand, h, was
not constant (though close enough) for both the coarse sand and the fine sand. Both of
these inconsistencies have an effect on the permeability constant k. The height, h,
being variable makes the change in pressure variable while the length of the porous
medium L similarly affects the permeability constant.
Part 3: Glacial Deposits and Glacial Flow
Earth’s last major
glaciation
(growing ice sheets) occurred during the end of the Pleistocene
epoch,
and
in
North
America
this
period
of
glacial
advance
is
called the Wisconsin
9
Glaciation. The Wisconsin Glaciation reached its peak between 21,000 and 18,000 years
ago. But since then, the massive ice sheets that once covered all of Canada and much of the
northeastern United States have dramatically
retreated
(when glacial ice melts faster than it
can accumulate).
During this period, glaciation was not limited to North America. In fact, geologists have found
evidence of extensive continental ice sheets covering Northern Europe and Asia, and the
Antarctic ice sheet once reached the southern tips of South America and Africa.
Glaciers
,
huge masses of ice that move slowly over land, have the power to dramatically alter the land
surface by leveling peaks, carving out valleys, and transporting rocks and sediments over
hundreds
of
miles.
These
landscape
features
are
still
evident
today
and
allow
us
to
reconstruct where these massive ice sheets existed and how they traveled. The following
exercises
will
investigate
a
few
prominent glacial features associated with the erosion,
transportation, and deposition of material.
10
Figure 4.
Topographic map of glacier landforms in New York. Full scale bar is 1 mile.
Contour interval is 10 feet, heavy lines every 50 feet.
11
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12) Figure 4 is a topographic map of a glaciated section of New York. Use this
map to produce three topographic profiles along the long axes of the drumlins.
For
each
profile,
make
sure
to label each end (e.g. A-A’) as well as your
horizontal (mi) and vertical (ft) axes. (12 pts)
A to A’
_______________
B to B’
______________________________
C to C’
________________
13)
Given
your
understanding
of
how
drumlins
form
and
their characteristic
morphology, which compass direction was the ice sheet flowing when these were
formed? Explain your reasoning. (4 pts)
Given the shape of the drumlins, it is clear that the glacier was flowing from North/Northwest to
South/Southeast, 160 degrees. We know this because of the shape of the drumlins: as a glacier
hits a hill or a mass it overcomes the mass and deposits sediment periodically as it flows over the
mass. This leaves a drumlin that has a steeper slope on the side that the glacier came from (in this
case North) and a shallower slope on the side of the drumlin that the glacier flowed (in this case
South)
12
14) What is the main difference in the formation process of drumlins versus that of
roches moutonnées?
(3 pts)
Drumlins are formed by deposition (i.e. when the glacier moves over the land it deposits
sediment to form the drumlin)
Roche Moutonnees are formed by erosion (i.e. when the glacier moves over the land
mass it erodes the sediment that is already there, thus forming the feature)
15) Sketch a schematic topographic profile of a
roches moutonnées
and label the
direction of paleo-glacier flow with an arrow. (3 pts)
13
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*BONUS*
This
map
shows
a
prominent
landscape
feature
associated
with
deglaciation. What is the name of this feature and how does it form? (+3 pts)
This looks like it would be an end
moraine
that
formed
at
a
glacier
margin.
This
landscape
feature
indicates
the margin of the glacier
(i.e.
where
the
glacier
stopped
moving before it recesses, meaning
that it melted)
14