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Comparison of One and Three
Dimensional MODFLOW
Subsidence Results
Dave Colvin - Leonard Rice Engineers
NGWA Groundwater Summit
Garden Grove, CA
May 7, 2012
1
Purpose
and
Need
2
Subsidence Overview
• Lowering of ground
surface
• Based on Terzaghi
equation
• Before pumping,
geostatic load (pressure
or stress) is balanced
• Pumping reduces pore
pressure; increases
stress on ‘skeleton’
• “Stress” = Change in
water level
Reference:
Poland (1984). Guidebook to Studies of Land
Subsidence due to Ground Water Withdrawal.
UNESCO. International Hydrological Programme
Working Group
Data Characteristics
• Long periods of record
• Accurate monitoring
results
• Varied collection
methods
• Varied data types
• Expensive
4
• Drilling and Well
Testing
• Remote Sensing
• Survey Based
• Geotechnical
Laboratory Analyses
• Geophysics
– Downhole
– Airborne/Surface
Data Collection Methods
Subsidence Modeling
Data Collection
Conceptual Model Development
3D Lithology Database
Conceptual Model Development
3D Lithology Database
Conceptual Model Development
3D Lithology Database
Conceptual Model Development
3D Lithology Database
Conceptual Model Development
3D Lithology Database
Groundwater
Clay Layer 1
Clay Layer 2
Upper Aquifer
Middle Aquifer
Lower Aquifer
Ground Surface
Constant Head Cells
-defined by water level
elevations
or
-groundwater flow
model heads
1D Subsidence Concept
USGS MODFLOW SUB-WT
• Simulates vertical
compaction in
groundwater flow
models
• Simulates groundwater
storage changes in
aquitards (or interbeds)
• Calculates changes in
geostatic stress due to
lowering of the water
table
• Allows for time variable
hydraulic and
subsidence properties
Reference:
Galloway and Leake(2007) MODFLOW Ground Water Model - User Guide to the
Subsidence and Aquifer-System Compaction Package (SUB-WT) for Water Table
Aquifers. U.S. Geological Survey Techniques and Methods 6-A23.
Modeled Head Impacts
using SUB-WT
0.0
50.0
100.0
150.0
200.0
250.0
300.0
350.0
400.0
450.0
500.0
550.0
600.0
Drawdown(ft)
Year
3D SUB-WT Model
Drawdown Result Comparison
Base Model Well #1
SWT Model - Well #1
Base Model Well #2
SUB-WT Model Well #2 Maximum
difference of 27.8
feet
MODFLOW Subsidence Water Budget Impacts
Reference:
Faunt, C.C., ed., 2009, Groundwater Availability of the Central Valley Aquifer,
California: U.S. Geological Survey Professional Paper 1766
Clay Layer 1
Compaction
3D Subsidence Models
1D vs. 3D SUB-WT
Subsidence Results
840
860
880
900
920
940
960
980
1000
0
0.1
0.2
0.3
0.4
0.5
0.6
0.7
0.8
0.9
1
1940 1960 1980 2000 2020 2040 2060 2080 2100 2120
GroundWaterLevel(ftNAVD88)
Subsidence(ft)
Year
1D vs. 3D Subsidence Model Comparison
3D Modeled Subsidence
1D Modeled Subsidence
Head
1D vs. 3D SUB-WT
Subsidence Results
Modeled Subsidence Results (Feet)
Scenario 1 Scenario 2 Scenario 3 Scenario 4 Scenario 5 Scenario 6 Scenario 7 Scenario 8
Year 3D 1D 3D 1D 3D 1D 3D 1D 3D 1D 3D 1D 3D 1D 3D 1D
2020 0.4 0.5 0.4 0.5 0.4 0.5 0.3 0.5 0.3 0.4 0.3 0.4 0.3 0.4 0.3 0.4
2080 0.7 0.9 1.2 1.5 1.5 1.9 1.1 1.4 0.8 1.1 1.1 1.4 1.7 2.0 1.3 1.5
2117 0.8 1.0 1.2 1.5 1.5 1.9 1.1 1.4 1.0 1.2 1.2 1.6 1.8 2.2 1.3 1.6
3D - Percent of 1D
Result
78% 77% 78% 78% 78% 78% 84% 82%
Water
movement
horizontally
and vertically
within
aquifers and
aquitards
Groundwater
Clay Layer 1
Clay Layer 2
Upper Aquifer
Middle Aquifer
Lower Aquifer
Ground Surface
Movement
of water
restricted
to the
vertical
plane
1 D 3 D
3D Subsidence Models
Conclusions
• Use of the MODFLOW
subsidence packages can
have significant impacts on
model predicted:
– Head
– Storage
• 1D subsidence modeling
may be more appropriate in
locations where:
– Available data are obtained
from one borehole or
location
– Geologic heterogeneity of
clay thickness or bedrock
structure is poorly
understood
– Regional groundwater flow
models are not available
• 1D models assume that
horizontal flow is
insignificant compared to
other storage and water
budget components
• 1D subsidence models over
predict subsidence by
approximately 20%
• 3D groundwater flow
modeling may be used to
obtain subsidence results in
one cell
• Availability and quality of
input data must be balanced
with the confidence needs in
the subsidence predictions
18
QUESTIONS?
19
THANK YOU!
20

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Comparison of One and Three Dimensional MODFLOW Subsidence Results

  • 1. Comparison of One and Three Dimensional MODFLOW Subsidence Results Dave Colvin - Leonard Rice Engineers NGWA Groundwater Summit Garden Grove, CA May 7, 2012 1
  • 3. Subsidence Overview • Lowering of ground surface • Based on Terzaghi equation • Before pumping, geostatic load (pressure or stress) is balanced • Pumping reduces pore pressure; increases stress on ‘skeleton’ • “Stress” = Change in water level Reference: Poland (1984). Guidebook to Studies of Land Subsidence due to Ground Water Withdrawal. UNESCO. International Hydrological Programme Working Group
  • 4. Data Characteristics • Long periods of record • Accurate monitoring results • Varied collection methods • Varied data types • Expensive 4 • Drilling and Well Testing • Remote Sensing • Survey Based • Geotechnical Laboratory Analyses • Geophysics – Downhole – Airborne/Surface Data Collection Methods Subsidence Modeling Data Collection
  • 5. Conceptual Model Development 3D Lithology Database
  • 6. Conceptual Model Development 3D Lithology Database
  • 7. Conceptual Model Development 3D Lithology Database
  • 8. Conceptual Model Development 3D Lithology Database
  • 9. Conceptual Model Development 3D Lithology Database
  • 10. Groundwater Clay Layer 1 Clay Layer 2 Upper Aquifer Middle Aquifer Lower Aquifer Ground Surface Constant Head Cells -defined by water level elevations or -groundwater flow model heads 1D Subsidence Concept
  • 11. USGS MODFLOW SUB-WT • Simulates vertical compaction in groundwater flow models • Simulates groundwater storage changes in aquitards (or interbeds) • Calculates changes in geostatic stress due to lowering of the water table • Allows for time variable hydraulic and subsidence properties Reference: Galloway and Leake(2007) MODFLOW Ground Water Model - User Guide to the Subsidence and Aquifer-System Compaction Package (SUB-WT) for Water Table Aquifers. U.S. Geological Survey Techniques and Methods 6-A23.
  • 12. Modeled Head Impacts using SUB-WT 0.0 50.0 100.0 150.0 200.0 250.0 300.0 350.0 400.0 450.0 500.0 550.0 600.0 Drawdown(ft) Year 3D SUB-WT Model Drawdown Result Comparison Base Model Well #1 SWT Model - Well #1 Base Model Well #2 SUB-WT Model Well #2 Maximum difference of 27.8 feet
  • 13. MODFLOW Subsidence Water Budget Impacts Reference: Faunt, C.C., ed., 2009, Groundwater Availability of the Central Valley Aquifer, California: U.S. Geological Survey Professional Paper 1766
  • 14. Clay Layer 1 Compaction 3D Subsidence Models
  • 15. 1D vs. 3D SUB-WT Subsidence Results 840 860 880 900 920 940 960 980 1000 0 0.1 0.2 0.3 0.4 0.5 0.6 0.7 0.8 0.9 1 1940 1960 1980 2000 2020 2040 2060 2080 2100 2120 GroundWaterLevel(ftNAVD88) Subsidence(ft) Year 1D vs. 3D Subsidence Model Comparison 3D Modeled Subsidence 1D Modeled Subsidence Head
  • 16. 1D vs. 3D SUB-WT Subsidence Results Modeled Subsidence Results (Feet) Scenario 1 Scenario 2 Scenario 3 Scenario 4 Scenario 5 Scenario 6 Scenario 7 Scenario 8 Year 3D 1D 3D 1D 3D 1D 3D 1D 3D 1D 3D 1D 3D 1D 3D 1D 2020 0.4 0.5 0.4 0.5 0.4 0.5 0.3 0.5 0.3 0.4 0.3 0.4 0.3 0.4 0.3 0.4 2080 0.7 0.9 1.2 1.5 1.5 1.9 1.1 1.4 0.8 1.1 1.1 1.4 1.7 2.0 1.3 1.5 2117 0.8 1.0 1.2 1.5 1.5 1.9 1.1 1.4 1.0 1.2 1.2 1.6 1.8 2.2 1.3 1.6 3D - Percent of 1D Result 78% 77% 78% 78% 78% 78% 84% 82%
  • 17. Water movement horizontally and vertically within aquifers and aquitards Groundwater Clay Layer 1 Clay Layer 2 Upper Aquifer Middle Aquifer Lower Aquifer Ground Surface Movement of water restricted to the vertical plane 1 D 3 D 3D Subsidence Models
  • 18. Conclusions • Use of the MODFLOW subsidence packages can have significant impacts on model predicted: – Head – Storage • 1D subsidence modeling may be more appropriate in locations where: – Available data are obtained from one borehole or location – Geologic heterogeneity of clay thickness or bedrock structure is poorly understood – Regional groundwater flow models are not available • 1D models assume that horizontal flow is insignificant compared to other storage and water budget components • 1D subsidence models over predict subsidence by approximately 20% • 3D groundwater flow modeling may be used to obtain subsidence results in one cell • Availability and quality of input data must be balanced with the confidence needs in the subsidence predictions 18

Editor's Notes

  1. One dimensional subsidence models are often used due to lack of available input data.  While these are useful screening level models, integration of subsidence modeling into a three dimensional flow model should be considered, particularly if a flow model already exists.  MODFLOW SUB-WT and SUB packages rely on the Terzaghi theory of one-dimensional consolidation to calculate subsidence.  Although these calculations are based in the vertical dimension, use of these packages impacts the water balance and subsequent results of groundwater flow models. This presentation will provide details on the differences in model results between one and three dimensional subsidence modeling using the MODFLOW SUB-WT package.
  2. Investigation into evidence of laterally continuous clay layers possibly from lacustrine lake deposits.
  3. Investigation into evidence of laterally continuous clay layers possibly from lacustrine lake deposits.
  4. Investigation into evidence of laterally continuous clay layers possibly from lacustrine lake deposits.
  5. Investigation into evidence of laterally continuous clay layers possibly from lacustrine lake deposits.
  6. Investigation into evidence of laterally continuous clay layers possibly from lacustrine lake deposits.