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A stepwise approximation for estimations of multilevel hydraulic
tests in heterogeneous aquifersPRESENTER: YI-RU HUANG
ADVISOR: CHUEN-FA NIDATE: 2011-3-10
2011/3/10
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Outline
Objective Methodology
Conclusions
Results & Discussion
Future work
IntroductionMotivation
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Introduction
Ground water investigations have relied on the determination of aquifer parameters.Knowledge of detailed spatial distributions of hydraulic properties is important to improve our ability to predict water and solute movement in the subsurface.
Detailed spatial distributions of hydraulic properties.
Hydraulic tomography is a viable technology to estimate the parameters in heterogeneous aquifer.[Gottlieb & Dietrich, 1995, Butler et al, 1999, Vasco et al., 2000, Yeh & Liu, 2000, Liu et al., 2002, Bohling et al., 2002, McDermott et al., 2003, Brauchler et al., 2003, Zhu & Yeh, 2005, Liu et al., 2007, Straface et al., 2007, Illman et al., 2007]
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DATA
52011/3/10
Pumping observation
observation
packerpacker
packer packer
packer packer
Pumpingobservation
observation
Pumping observation
observation
Pumpingobservation
observation
well well
packer
packer
packer
packer
packer
packer
packer
packer
packer
packer
packer
packer
packer
packer
packer
packer
packer
packer
(a) (b)
(c) (d)
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• Data collection: Cross-hole pumping test
To obtain many independent pumping test data.
• Data integration: Numerical inversion
To integrate information of aquifer and estimate parameters.
Introduction Hydraulic tomography
The K tomogram2011/3/10
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Motivation
X (m)
0 5 10 15 20
Depth
(m)
0
5
10
PACKER
PUMP
OBS.
0 40 80 120 160 200
T im e (s)
84
88
92
96
100
104
Pre
ssu
re (
mH
2O
)
obs no.1
obs no.2
obs no.3
0 40 80 120 160 200
84
88
92
96
100
104
obs no.4
0 40 80 120 160 200
84
88
92
96
100
104
obs no.5
0 40 80 120 160 200
Tim e (s)
88
92
96
100
104
Pre
ssu
re H
2O (
m)
obs no.1
obs no.2
obs no.3
X (m)
0 5 10 15 20
Depth
(m)
0
5
10
PACKER
PUMP
OBS.
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Motivation
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packer
packer
packer
packer
packer
packer
packer
packer
packer
packer
packer
packer
packer
packer
packer
packer
packer
packer packer
packer
packer
packer
packer
packer
packer
packer
10
0 1000 2000 3000
Tim e (s)
4
6
8
10
Pre
ssur
e (m
H2O
)
D ruck 14m
Druck 13m
D ruck 12m
D ruck 11m
Changing the packer position.
0 40 80 120 160 200
T im e (s)
88
92
96
100
104
Pre
ssur
e H
2O (
m)
obs no.1
obs no.2
obs no.3
The field pumping test data.
The limit of equipment in field test.
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Objective
To conduct numerical investigations to assess how and to what degree the accuracy of the field tests for estimation.
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Generation of random field
Many packers, obtain data simultaneously
Limited packers, obtain data sequentially
A series of pumping events
Numerical model
Comparison of the results
Methodology
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Generation of random field
X (m)
0 5 10 15 20
Depth
(m)
0
5
10 1.60E-041.50E-041.40E-041.30E-041.20E-041.10E-041.00E-049.00E-058.00E-057.00E-056.00E-055.00E-05
K (m/s)
X (m)
0 5 10 15 20
Depth
(m)
0
5
10
OBS.
PUMP
X (m)
0 5 10 15 20
Depth
(m)
0
5
10
X (m)
0 5 10 15 20
Depth
(m)
0
5
10
2011/3/10
Mean: 0.0001m/sVariance: 0.1Correlation length: 20x5m
X (m)
0 5 10 15 20
Depth
(m)
0
5
10
OBS.
PUMP
X (m)
0 5 10 15 20
Depth
(m)
0
5
10
X (m)
0 5 10 15 20
Depth
(m)
0
5
10
14
A series of pumping events
0 40 80 120 160 200
Tim e (s)
88
92
96
100
104
Pre
ssur
e H
2O (
m)
obs no.1
obs no.2
obs no.3
0 200 400 600
Tim e (s)
88
92
96
100
104
Pre
ssur
e H
2O (
m)
obs no.1
obs no.2
obs no.3
obtain data simultaneously obtain data sequentially
Numerical model2011/3/10
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Results & Discussion
X (m)
0 5 10 15 20
Depth
(m)
0
5
10 1.60E-041.50E-041.40E-041.30E-041.20E-041.10E-041.00E-049.00E-058.00E-057.00E-056.00E-055.00E-05
K (m/s)
X (m)
0 5 10 15 20
Depth
(m)
0
5
10
1.40E-041.35E-041.30E-041.25E-041.20E-041.15E-041.10E-041.05E-041.00E-049.50E-059.00E-058.50E-058.00E-057.50E-057.00E-056.50E-056.00E-05
K (m/s)X (m)
0 5 10 15 20
Depth
(m)
0
5
10 1.60E-041.50E-041.40E-041.30E-041.20E-041.10E-041.00E-049.00E-058.00E-057.00E-056.00E-055.00E-05
K (m/s)
X (m)
0 5 10 15 20
Depth
(m)
0
5
10 1.20E-041.15E-041.10E-041.05E-041.00E-049.50E-059.00E-058.50E-058.00E-057.50E-057.00E-056.50E-05
K (m/s)
X (m)
0 5 10 15 20
Depth
(m)
0
5
10 1.60E-041.50E-041.40E-041.30E-041.20E-041.10E-041.00E-049.00E-058.00E-057.00E-056.00E-055.00E-05
K (m/s)
obtain data simultaneously
obtain data sequentially
0 4E-005 8E-005 0.00012 0.00016 0.0002
O bjective K va lue
0
4E-005
8E-005
0.00012
0.00016
0.0002
Est
imat
ed K
val
ue
C orre lation coeffic ient 0 .743
0 4E-005 8E-005 0.00012 0.00016 0.0002
O bjective K va lue
0
4E-005
8E-005
0.00012
0.00016
0.0002
Est
imat
ed K
val
ue
C orre lation coeffic ient 0 .867
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• To obtain the data in each depth by changing packer position is practicable in field test.
• The field data we obtained are usability to estimate the spatial distribution of hydraulic properties.
Conclusions
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• To conduct more numerical examples and insight the application for practical problem.
Future work
2011/3/10
the observation intervals
the extension of numerical boundaries
the degree of heterogeneity
the duration of sampling time
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Thanks for your attention~
2011/3/10
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