TECHNICAL PAPERS
Jan 1, 2007

Analytic-Element Modeling of Supraregional Groundwater Flow: Concepts and Tools for Automated Model Configuration

Publication: Journal of Hydrologic Engineering
Volume 12, Issue 1

Abstract

The analytic-element method (AEM) is an appealing technique for modeling steady-state groundwater flow at the supraregional scale (defined here as >10,000km2 ) because the computational demand is determined primarily by the number of modeled hydrologic features and not constrained by the size of the domain. In this paper, we introduce AEM to practitioners unfamiliar with the approach and present modeling concepts and new tools designed to facilitate the automated processing of AEM models containing thousands of hydrologic features. Topics include assignment of element types for surface water features, automated simplification of lines and polygons, conversion of polygonal elements to less computationally demanding circles and ellipses, iterative solution algorithms for models that include nonlinear resistance elements, software implementation, and integration of AEM simulators with calibration utilities and GIS. Software implementation of the concepts and tools is discussed and demonstrated for a case study of Wisconsin’s Northern Highland Lakes region.

Get full access to this article

View all available purchase options and get full access to this article.

Acknowledgments

This research was supported by Grant No. R82-7961 from the U.S. Environmental Protection Agency’s (EPA) Science to Achieve Results (STAR) Program and Grant No. NSFBES0202077 from the National Science Foundation (NSF). This paper has not been subjected to any EPA or NSF review and therefore does not necessarily reflect the views of either Agency, and no official endorsement should be inferred. James Craig, Shawn Matott, and Karl Bandilla received support from the National Science Foundation Integrated Graduate Education and Research Training (IGERT) program in Geographic Information Science.

References

Bakker, M. (2004a). TimML A multiaquifer analytic element model version 2.1, Univ. of Georgia, Athens, Ga., ⟨www.engr.uga.edu/~mbakker/TimML⟩ (Feb. 1, 2006).
Bakker, M. (2004b). “Transient analytic elements for periodic Dupuit-Forchheimer flow.” Adv. Water Resour., 27(1), 3–12.
Bakker, M., Anderson, E. I., Olsthoom, T. N., and Strack, O. D. L. (1999). “Regional groundwater modeling of the Yucca Mountain site using analytic elements.” J. Hydrol., 226(3–4), 167–178.
Bakker, M., and Strack, O. D. L. (2003). “Analytic elements for multiaquifer flow.” J. Hydrol., 271(1–4), 119–229.
Bandilla, K., Janković, I., and Rabideau, A. J. (2006). “A new algorithm for analytic-based modeling of large-scale groundwater flow using parallel processing.” Adv. Water Resour., in press.
Bandilla, K., Suribhatla, R., and Janković, I. (2005). “SPLIT: Win32 computer program for analytic-based modeling of single-layer groundwater flow in heterogeneous aquifers with particle tracking, capture-zone delineation, and parameter estimation.” Dept. of Civil, Structural, and Environmental Engineering, Univ. at Buffalo, Buffalo, N.Y., ⟨http://www.groundwater.buffalo.edu⟩ (Feb. 1, 2006).
Barnes, R., and Janković, I. (1999). “Two-dimensional flow through large numbers of circular inhomogeneities.” J. Hydrol., 226(3–4), 204–210.
Becker, M. W., Georgian, T., Ambrose, H., Sinscalchi, J., and Fredrick, K. C. (2004). “Estimating ground-water discharge using stream temperature and velocity.” J. Hydrol., 296(1–4), 221–233.
Cherkauer, D. S. (2004). “Quantifying ground water recharge at multiple scales using PRMS and GIS.” Ground Water, 42(1), 97–110.
Cherkauer, D. S., and Ansari, S. A. (2004). “Estimating ground water recharge from topography, hydrogeology, and land cover.” Ground Water, 43(1), 102–112.
Christensen, S., Rasmussen, K. R., and Muller, K. (1998). “Prediction of regional ground water flow to streams.” Ground Water, 36(2), 351–360.
Craig, J. R. (2005). “Reactive contaminant transport modeling using analytic element flow solutions.” Ph.D. dissertation, Dept. of Civil, Structural, and Environmental Engineering, Univ. at Buffalo, Buffalo, N.Y.
Craig, J. R., Janković, I., and Barnes, R. (2006). “The nested superblock approach for regional scale modeling using the analytic element method.” Ground Water, 44(1), 76–80.
Craig, J. R., and Matott, L. S. (2005). Visual bluebird user’s manual: Version 1.8, Dept. of Civil, Structural, and Environmental Engineering, Univ. at Buffalo, Buffalo, N.Y., ⟨http://www.groundwater.buffalo.edu⟩ (Feb. 1, 2006).
Craig, J. R., and Rabideau, A. J. (2006). “Finite difference transport modeling using analytic element flow solutions.” Adv. Water Resour., 29(7), 1075–1087.
de Lange, W. J. (2006). “Development of an analytic element groundwater model of The Netherlands.” Ground Water, 44(1), 111–115.
Douglas, D., and Peucker, T. (1973). “Algorithms for the reduction of the number of points required to represent a digitized line or its caricature.” The Canadian Cartographer, 10(2), 112–122.
Environmental Modeling Research Laboratory (EMRL). (2005). Groundwater modeling system version 6, tutorials, Brigham Young Univ., Provo, Utah, ⟨http://www.emrl.byu.edu⟩ (Jan. 30, 2006).
Fredrick, K. C., Becker, M. W., Flewelling, D. M., Silavisesrith, W., and Hart, E. R. (2004). “Enhancement of aquifer vulnerability indexing using the analytic-element method.” Environ. Geol., 45(8), 1054–1061.
Furman, A., and Neuman, S. P. (2003). “Laplace-transform analytic element solution of transient flow in porous media.” Adv. Water Resour., 26(12), 1229–1237.
Garbrecht, J., Ogden, F. L., DeBarry, P. A., and Maidment, D. R. (2001). “GIS and distributed watershed models. I: Data coverages and sources.” J. Hydrol. Eng., 6(6), 506–514.
Gropp, W., Lusk, W., and Skjellum, A. (1999). Using MPI: Portable parallel programming with the message passing interface, 2nd Ed., MIT Press, Cambridge, Mass.
Haitjema, H. M. (1991). “An analytic element model for transient axisymmetrical interface flow.” J. Hydrol., 129(1–4), 215–244.
Haitjema, H. M. (1995). Analytic element modeling of ground water flow, Academic, San Diego.
Haitjema, H. M. (2002). “Modeling lake-groundwater interactions with GFLOW 2000.” Technical memorandum, Haitjema Software, Bloomington, Ind., ⟨http://www.haitjema.com⟩ (Feb. 1, 2006).
Harbaugh, A. W. (1990). “A computer program for calculating subregional water budgets using results from the U.S. Geological Survey modular three-dimensional ground-water flow model.” Open-File Rep. No. 90-392, U.S. Geological Survey, Reston, Va.
Hershberger, J., and Snoeyink, J. (1992). “Speeding up the Douglas-Peucker line-simplification algorithm.” Proc., 5th Symp. on Data Handling, Vol. 1, P. Bresnahan, E. Corwin, and D. Cowen, eds., IGU Commission of GIS, Charleston, S.C., 134–143.
Hill, M. C. (1998). “Methods and guidelines for effective model calibration.” Water Resources Investigation Rep. No. 98-4005, U.S. Geological Survey, Reston, Va.
Hunt, R. J. (2006). “Ground water modeling applications using the analytic element method.” Ground Water, 44(1), 5–15.
Hunt, R. J., Haitjema, H. M., Krohelski, J. T., and Feinstein, D. T. (2003). “Simulating ground water-lake interactions: Approaches and insights.” Ground Water, 41(2), 221–237.
Hunt, R. J., Lin, Y., Krohelski, J. T., and Jukerm, P. F. (2000). “Simulation of the shallow hydrologic system in the vicinity of Middle Genesee Lake, Wisconsin, using analytic elements and parameter estimation.” Water-Resources Investigations Rep. 00-4136, U.S. Geological Survey, Reston, Va.
Janković, I., and Barnes, R. (1999a). “High order line elements in modeling two-dimensional ground water flow.” J. Hydrol., 226(3–4), 211–223.
Janković, I., and Barnes, R. (1999b). “Three-dimensional flow through large numbers of spheroidal inhomogeneities.” J. Hydrol., 226(3–4), 224–233.
Johnson, C., and Miffin, M. (2006). “The AEM and regional carbonate aquifer modeling.” Ground Water, 44(1), 45–34.
Kang, H., Elhami, S., and Saalfeld, A. (2001). “Using shape analysis for placement of polygon labels.” ESRI 2001 Int. User Conf., San Diego.
Kelson, V. A., Hunt, R. J., and Haitjema, H. M. (2002). “Improving a regional model using reduced complexity and parameter estimation.” Ground Water, 40(2), 132–143.
Kraemer, S. R., Haitjema, H. M., and Kelson, V. A. (2000). “Working with WhAEM2000. Source water assessment for a glacial outwash wellfield, Vincennes, Indiana.” EPA/600/R-00/022, U.S. EPA, Office of Research and Development, Research Triangle Park, N.C.
Lee, T. M. (1996). “Hydrologic controls on the groundwater interactions with an acidic lake in a karst terrain, Lake Barco, Florida.” Water Resour. Res., 32(4), 831–844.
Maidment, D. R., ed. (2002). Arc Hydro: GIS for water resources, ESRI, Redlands, Calif., ⟨http://www.crwr.utexas.edu/gis/gishydro04/ArcHydro/WhatIsArcHydro.htm⟩ (Feb. 1, 2006).
Matott, L. (2004). Ostrich: An optimization software tool, documentation and user’s guide, version 1.4, Dept. of Civil, Structural, and Environmental Engineering, Univ. at Buffalo, Buffalo, N.Y., ⟨http://ww.groundwater.buffalo.edu⟩ (Feb. 1, 2006).
Matott, L. S., Fredrick, K. C., Rabideau, A. J., and Becker, M. W. (2004). “Calibration of the geometry of hydraulic conductivity zones in groundwater flow models.” Eos Transactions, American Geophysical Union, 85(47), Fall Meeting Supplement, Abstract No. H11C-0318.
Matott, L. S., Rabideau, A. J., and Craig, J. R. (2006). “Optimization of pump-and-treat systems using analytic flow models.” Adv. Water Resour., 29(5), 760–775.
McMaster, K. J. (2002). “Effect of digital elevation model resolution on derived stream network position.” Water Resour. Res., 38(4), 13.1–13.8.
McMaster, R. B., and Shea, K. S. (1992). Generalization in digital cartography, Resource Publications in Geography, Association of America Geographers, Washington, D.C.
Merrit, M. L., and Konikow, L. F. (2000). “Documentation of a computer program to simulate lake-aquifer interactions using the MODFLOW ground-water flow model and the MOC3D solute-transport model.” Water Resources Investigations Rep. No. 00-4167, U.S. Geological Survey, Reston, Va.
Mitchell-Bruker, S., and Haitjema, H. M. (1996). “Modeling steady-state conjunctive groundwater and surface water flow with analytic elements.” Water Resour. Res., 32(9), 2725–2732.
O’Callahan, J. F., and Mark, D. (1984). “The extraction of drainage networks from digital elevation data.” Computer vision, graphics, and image processing, 28(1), 323–344.
O’Rourke, J. (1998). Computational geometry in C, 2nd Ed., Cambridge University Press, Cambridge, U.K.
Pint, C. D., Hunt, R. J., and Anderson, M. P. (2004). “Flowpath delineation and ground water age, Allequash Basin, Wisconsin.” Ground Water, 41(7), 895–902.
Rabideau, A. J., Matott, L. S., Janković, I., Craig, J. R., and Becker, M. W. (2005). “Influence of numerical precision on the calibration of AEM models.” Environ. Geol., 48(1), 57–67.
Raymond, H. A., Bondoc, M., McGinnis, J., Metropulos, K., Heider, P., Reed, A., and Saines, S. (2006). “Using analytic element models to delineate drinking water source protection areas.” Ground Water, 44(1), 16–23.
Reckhow, K., et al. (2004). “Designing hydrologic observatories: A paper prototype of the Neuse watershed.” CUAHSI Technical Rep. No. 6, Consortium of Universities for the Advancement of Hydrologic Sciences, Inc., Washington, D.C.
Riera, J. L., Magnuson, J. J., Kratz, T. E., and Webster, K. E. (2000). “A geomorphic template for the analysis of lake districts applied to the Northern Highland Lake District, Wisconsin, U.S.A.” Freshwater Biol., 43(3), 301–318.
Saunders, W. (2000). “Preparation of DEMs for use in environmental modeling analysis.” Hydrologic and hydraulic modeling support, D. Maidment and D. Djokic, eds., ESRI, Redlands, Calif., 29–52.
Seaberg, J. K., Hansen, D. D., Block, B. W., Streitz, A. R., and Bakker, M. (1997). “Development of a regional groundwater flow model for the Twin Cities.” Analytic-Based Modeling of Groundwater Flow Conf., Institute for Inland Water Management and Wastewater Treatment, Nunspeet, The Netherlands.
Shewchuck, J. R. (2002). “What is a good linear element? Interpolation, conditioning, and quality measures.” Proc., 11th Int. Meshing Roundtable, Sandia National Laboratories, Ithaca, N.Y., ⟨http://www.andrew.cmu.edu/user/sowen/imr11.html⟩ (Feb. 1, 2006).
Silavisesrith, W., and Matott, L. S. (2005). ArcAEM: GIS-based application for analytic element groundwater modeling, documentation and user’s guide, Dept. of Civil, Structural, and Environmental Engineering, Univ. at Buffalo, Buffalo, N.Y., ⟨http://ww.groundwater.buffalo.edu⟩ (Feb. 1, 2006).
Sinha, G., Silavisesrith, W., Craig, J. R., and Flewelling, D. M. (2004). “Multicriteria line simplification (MCLS) for AEM groundwater modeling.” Proc., Accuracy 2004: 6th Int. Symp. on Spatial Accuracy Assessment in Natural Resources and Environmental Sciences.
Steward, D. R., and Bernard, E. A. (2006). “The synergistic powers of AEM and GIS geodatabase models.” Ground Water, 44(1), 56–61.
Strack, O. D. L. (1989). Groundwater mechanics, Prentice-Hall, Englewood Cliffs, N.J.
Strack, O. D. L. (2003). “Theory and applications of the analytic element method.” Rev. Geophys., 41(2), 1.1–1.19.
Strack, O. D. L. (2006). “The development of new analytic elements for transient flow and multiaquifer flow.” Ground Water, 44(1), 91–98.
Strack, O. D. L., and Janković, I. (1999). “A multi-quadric area-sink for analytic element modeling of groundwater flow.” J. Hydrol., 226(3–4), 188–196.
Strahler, A. N. (1964). “Quantitative geomorphology of drainage basins and channel networks.” Handbook of applied hydrology, V. T. Chow, ed., McGraw-Hill, New York, 4/39–4/76.
Suribhatla, R., Bakker, M., Bandilla, K., and Janković, I. (2004). “Steady two-dimensional groundwater flow through many elliptical inhomogeneities.” Water Resour. Res., 40(4).WO4202.
U.S. Department of Agriculture (USDA). (1991). “STATSGO—State soils geographic database.” Miscellaneous publication no. 1492, National Soil Survey Center, Natural Resources Conservation Service, Washington, D.C.
U.S. Department of Agriculture (USDA). (1995). “Soil survey geographic (SSURGO) database.” Miscellaneous publication no. 16527, National Soil Survey Center, Natural Resources Conservation Service, Washington, D.C.
U.S. Geological Survey (USGS). (2000). “National hydrography dataset, concepts and contents.” ⟨http://nhd.usgs.gov⟩ (Feb. 1, 2006).
Wang, M., and Zheng, C. (1996). “Parameter estimation for transient and steady-state flow models using genetic algorithms.” ModelCARE 96: Calibration and reliability in groundwater modeling, K. Kavar and P. van de Heijde, eds., IAHS, Wallingford, Oxfordshire, U.K., 21–30.
Yuan, M., Mark, D. M., Egenhofer, M. J., and Peuquet, D. J. (2005). “Extensions to geographic representations.” A research agenda for geographic information science, R. B. McMaster and E. L. Usery, eds., CRC, Boca Raton, Fla., 129–156.
Zaadnoordijk, W. J., and Strack, O. D. L. (1993). “Area sinks in the analytic element method for transient groundwater flow.” Water Resour. Res., 29(12), 4121–4129.

Information & Authors

Information

Published In

Go to Journal of Hydrologic Engineering
Journal of Hydrologic Engineering
Volume 12Issue 1January 2007
Pages: 83 - 96

History

Received: Aug 1, 2005
Accepted: May 19, 2006
Published online: Jan 1, 2007
Published in print: Jan 2007

Permissions

Request permissions for this article.

Authors

Affiliations

Alan J. Rabideau [email protected]
Associate Professor, Dept. of Civil, Structural, and Environmental Engineering, Univ. at Buffalo, 207 Jarvis Hall, Buffalo, NY 14260. E-mail: [email protected]
James R. Craig
Assistant Professor, Dept. of Civil and Environmental Engineering, Univ. of Waterloo, 200 University Ave. West, Waterloo ON, Canada N2L 3G1.
Warit Silavisesrith
Graduate Assistant, Dept. of Geography, Univ. at Buffalo, 105 Wilkeson Quad, Buffalo, NY 14260.
Kyle Fredrick
Graduate Assistant, Dept. of Geology, Univ. at Buffalo, 876 Natural Sciences Complex, Buffalo, NY 14260.
Douglas M. Flewelling
Assistant Professor, Dept. of Environmental Studies, Univ. of Redlands, 1200 East Colton Ave., Redlands, CA 92373; formerly, Assistant Professor, Dept. of Geography, Univ. at Buffalo, 105 Wilkeson Quad, Buffalo, NY 14260.
Igor Janković
Associate Professor, Dept. of Civil, Structural, and Environmental Engineering, Univ. at Buffalo, 207 Jarvis Hall, Buffalo, NY 14260.
Matthew W. Becker
Associate Professor, Dept. of Geology, Univ. at Buffalo, 876 Natural Sciences Complex, Buffalo, NY 14260.
Karl Bandilla
Graduate Assistant, Dept. of Civil, Structural, and Environmental Engineering, Univ. at Buffalo, 207 Jarvis Hall, Buffalo, NY 14260.
L. Shawn Matott
Graduate Assistant, Dept. of Civil, Structural, and Environmental Engineering, Univ. at Buffalo, 207 Jarvis Hall, Buffalo, NY 14260.

Metrics & Citations

Metrics

Citations

Download citation

If you have the appropriate software installed, you can download article citation data to the citation manager of your choice. Simply select your manager software from the list below and click Download.

Cited by

View Options

Get Access

Access content

Please select your options to get access

Log in/Register Log in via your institution (Shibboleth)
ASCE Members: Please log in to see member pricing

Purchase

Save for later Information on ASCE Library Cards
ASCE Library Cards let you download journal articles, proceedings papers, and available book chapters across the entire ASCE Library platform. ASCE Library Cards remain active for 24 months or until all downloads are used. Note: This content will be debited as one download at time of checkout.

Terms of Use: ASCE Library Cards are for individual, personal use only. Reselling, republishing, or forwarding the materials to libraries or reading rooms is prohibited.
ASCE Library Card (5 downloads)
$105.00
Add to cart
ASCE Library Card (20 downloads)
$280.00
Add to cart
Buy Single Article
$35.00
Add to cart

Get Access

Access content

Please select your options to get access

Log in/Register Log in via your institution (Shibboleth)
ASCE Members: Please log in to see member pricing

Purchase

Save for later Information on ASCE Library Cards
ASCE Library Cards let you download journal articles, proceedings papers, and available book chapters across the entire ASCE Library platform. ASCE Library Cards remain active for 24 months or until all downloads are used. Note: This content will be debited as one download at time of checkout.

Terms of Use: ASCE Library Cards are for individual, personal use only. Reselling, republishing, or forwarding the materials to libraries or reading rooms is prohibited.
ASCE Library Card (5 downloads)
$105.00
Add to cart
ASCE Library Card (20 downloads)
$280.00
Add to cart
Buy Single Article
$35.00
Add to cart

Media

Figures

Other

Tables

Share

Share

Copy the content Link

Share with email

Email a colleague

Share