Spill a. b. Well 1 C. 75 m Well 2 gure 2: Plan view (not to scale) of spill site, wells, and river for problem #2 Two slug tests were performed in 2" diameter piezometers 4" diameter gravel packs around the 18" long screen. Using the slug test data (Table 2) from these tests, estimate the hydraulic conductivity of the unconfined aquifer. 500 m Direction of Groundwater Flow Observed static heads at wells 1 and 2 were 83.4 and 81.2 m, respectively. Determine the steady state flow per unit width (Q') through the aquifer. Assuming an average aquifer thickness of 80 m and an effective porosity of 0.24, estimate the transport velocity from the spill site in the direction of flow. How far will water moving at this velocity flow in 7 months? Given the initial spill of 55 kg, determine the maximum concentration in the plume after 7 months, the location of the leading edge of the plume, and the width of the plume to be remediated. Assume Xu & Eckstein's scale- dependent longitudinal dispersivity (i.e., dispersivity in the direction of flow) and negligible molecular diffusion. Assume that the lateral dispersivity is 1% of the longitudinal dispersivity and that the vertical dispersivity is 0.1% of the longitudinal dispersivity. Table 2: Slug Test Data Time (s) 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 River 17 18 19 20 21 22 23 24 25 26 27 28 29 30 Displacement (m) Test 1 Test 2 2.46 2.35 2.13 2.07 1.94 1.79 1.71 1.63 1.60 1.50 1.33 1.34 1.21 1.13 1.08 1.01 0.95 0.93 0.87 0.83 0.76 0.69 0.68 0.66 0.60 0.58 0.54 0.49 0.48 0.42 0.43 1.79 1.68 1.59 1.46 1.46 1.35 1.25 1.22 1.09 1.06 1.00 0.95 0.90 0.82 0.79 0.74 0.71 0.68 0.65 0.57 0.56 0.50 0.47 0.46 0.47 0.40 0.40 0.36 0.37 0.30 0.31

Applications and Investigations in Earth Science (9th Edition)
9th Edition
ISBN:9780134746241
Author:Edward J. Tarbuck, Frederick K. Lutgens, Dennis G. Tasa
Publisher:Edward J. Tarbuck, Frederick K. Lutgens, Dennis G. Tasa
Chapter1: The Study Of Minerals
Section: Chapter Questions
Problem 1LR
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Related questions
Question
You are responsible for designing and pump-and-treat system to remediate a 55 kg
instantaneous spill into an unconfined aquifer. The sketch below shows the aquifer with two
observation wells, the spill location, and a river that you need to avoid contaminating. You are
beginning your response one month after the spill and you are confident that the pumping well
will be fully online in six months (i.e., seven months after the spill).
Spill
a.
b.
Well 1
C.
75 m
Well 2
Figure 2: Plan view (not to scale) of spill site, wells, and river for problem #2
500 m
Direction of Groundwater Flow
Two slug tests were performed in 2" diameter
piezometers 4" diameter gravel packs around the 18" long
screen. Using the slug test data (Table 2) from these tests,
estimate the hydraulic conductivity of the unconfined
aquifer.
Observed static heads at wells 1 and 2 were 83.4
and 81.2 m, respectively. Determine the steady state flow
per unit width (Q') through the aquifer. Assuming an average
aquifer thickness of 80 m and an effective porosity of 0.24,
estimate the transport velocity from the spill site in the
direction of flow. How far will water moving at this velocity
flow in 7 months?
Given the initial spill of 55 kg, determine the
maximum concentration in the plume after 7 months, the
location of the leading edge of the plume, and the width of
the plume to be remediated. Assume Xu & Eckstein's scale-
dependent longitudinal dispersivity (i.e., dispersivity in the
direction of flow) and negligible molecular diffusion. Assume
that the lateral dispersivity is 1% of the longitudinal
dispersivity and that the vertical dispersivity is 0.1% of the
longitudinal dispersivity.
Table 2: Slug Test Data
Time
(s)
0
1
2
3
4
5
6
7
8
9
PELANGGAN~~~~~~
10
11
12
13
14
15
16
17
18
19
20
21
22
23
24
25
26
27
28
River
29
30
Displacement (m)
Test 1
Test 2
2.46
2.35
2.13
2.07
1.94
1.79
1.71
1.63
1.60
1.50
1.33
1.34
1.21
1.13
1.08
1.01
0.95
0.93
0.87
0.83
0.76
0.69
0.68
0.66
0.60
0.58
0.54
0.49
0.48
0.42
0.43
1.79
1.68
1.59
1.46
1.46
1.35
1.25
1.22
1.09
1.06
1.00
0.95
0.90
0.82
0.79
0.74
0.71
0.68
0.65
0.57
0.56
0.50
0.47
0.46
0.47
0.40
0.40
0.36
0.37
0.30
0.31
Transcribed Image Text:You are responsible for designing and pump-and-treat system to remediate a 55 kg instantaneous spill into an unconfined aquifer. The sketch below shows the aquifer with two observation wells, the spill location, and a river that you need to avoid contaminating. You are beginning your response one month after the spill and you are confident that the pumping well will be fully online in six months (i.e., seven months after the spill). Spill a. b. Well 1 C. 75 m Well 2 Figure 2: Plan view (not to scale) of spill site, wells, and river for problem #2 500 m Direction of Groundwater Flow Two slug tests were performed in 2" diameter piezometers 4" diameter gravel packs around the 18" long screen. Using the slug test data (Table 2) from these tests, estimate the hydraulic conductivity of the unconfined aquifer. Observed static heads at wells 1 and 2 were 83.4 and 81.2 m, respectively. Determine the steady state flow per unit width (Q') through the aquifer. Assuming an average aquifer thickness of 80 m and an effective porosity of 0.24, estimate the transport velocity from the spill site in the direction of flow. How far will water moving at this velocity flow in 7 months? Given the initial spill of 55 kg, determine the maximum concentration in the plume after 7 months, the location of the leading edge of the plume, and the width of the plume to be remediated. Assume Xu & Eckstein's scale- dependent longitudinal dispersivity (i.e., dispersivity in the direction of flow) and negligible molecular diffusion. Assume that the lateral dispersivity is 1% of the longitudinal dispersivity and that the vertical dispersivity is 0.1% of the longitudinal dispersivity. Table 2: Slug Test Data Time (s) 0 1 2 3 4 5 6 7 8 9 PELANGGAN~~~~~~ 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 River 29 30 Displacement (m) Test 1 Test 2 2.46 2.35 2.13 2.07 1.94 1.79 1.71 1.63 1.60 1.50 1.33 1.34 1.21 1.13 1.08 1.01 0.95 0.93 0.87 0.83 0.76 0.69 0.68 0.66 0.60 0.58 0.54 0.49 0.48 0.42 0.43 1.79 1.68 1.59 1.46 1.46 1.35 1.25 1.22 1.09 1.06 1.00 0.95 0.90 0.82 0.79 0.74 0.71 0.68 0.65 0.57 0.56 0.50 0.47 0.46 0.47 0.40 0.40 0.36 0.37 0.30 0.31
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