Saturated-Unsaturated 3D Groundwater Model. I: Development
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Volume 10, Issue 6
Abstract
A new saturated-unsaturated three-dimensional (3D) groundwater flow model (SU3D) has been developed that calculates the pressure distribution over the entire groundwater flow domain in response to rainfall and evapotranspiration. Recent advances in solving the saturated-unsaturated groundwater flow equation are incorporated into SU3D, which solves the nonlinear, 3D, modified mixed form of the Richards equation continuously throughout the groundwater flow domain. The block-centered, finite-difference method with a variably sized grid is employed to solve the governing partial differential equation. The non-linear terms of the governing equation are linearized using a modified Picard iteration scheme, and the preconditioned conjugate gradient method is used to solve the linearized system of equations. SU3D can simulate the effects of pumping from an aquifer, and it has an option to calculate potential evapotranspiration (PET) from meteorological data. The PET is partitioned into potential evaporation and potential transpiration as a function of the leaf area index, and then the actual evaporation and transpiration are calculated. Overland flow and seepage face calculations are not included in SU3D.
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Acknowledgments
Financial support for this investigation was provided in part by Suleyman Demirel University and the U. S. Geological Survey State Water Research Institute Program. This paper represents the opinions and conclusions of the writers and does not necessarily represent the official position of Suleyman Demirel University or the U.S. Geological Survey.
References
Borg, H., and Grimes, D. W. (1986). “Depth development of roots with time: An empirical description.” Transactions of the American Society of Agricultural Engineers, 29, St. Joseph, Mich., 194–197.
Brooks, R. H., and Corey, A. T. (1964). “Hydraulic properties of porous media.” Hydrology Paper No. 3, Colorado State Univ., Fort Collins, Colo.
Celia, M. A., Bouloutas, E. T., and Zarba, R. L. (1990). “A general mass conservative numerical solution of the unsaturated flow equation.” Water Resour. Res., 26, 1483–1496.
Clement, T. P., Wise, W. R., and Molz, F. J. (1994). “A physically based, two-dimensional, finite-difference algorithm for modeling variably saturated flow.” J. Hydrol., 161, 71–90.
Cooley, R. L. (1971). “A finite-difference method for unsteady flow in variably saturated porous media: Application to a single pumping well.” Water Resour. Res., 7(6), 1607–1625.
Day, P. R., and Luthin, J. N. (1956). “A numerical solution of the differential equation of flow for a vertical drainage problem.” Soil Sci. Soc. Am. Proc., Vol. 45, Madison, Wisc., 1271–1285.
Dogan, A. (1999). “Variably saturated three-dimensional rainfall-driven groundwater flow model.” PhD dissertation, Dept. of Civil and Coastal Engineering, Univ. of Florida, Gainesville, Fla.
Fares, A. (1996). “Environmental impact of unharvested forest buffer zones upon cypress-pond system in coastal plains regions: modeling analyses.” PhD dissertation, Univ. of Florida, Gainesville, Fla.
Feddes, R. A., Kowalik, P. J., and Zaradny, H. (1978). Simulation of field water use and crop yield, Center for Agricultural Publishing and Documentation, Wageningen, The Netherlands.
Freeze, R. A. (1971). “Three-dimensional, transient, saturated-unsaturated flow in a groundwater basin.” Water Resour. Res., 7(2), 347–366.
Hansen, G. K., Jacobsen, B. F., and Jensen, S. E. (1976). “Simulation of crop production.” Hydroteknisk Laboratorium, Den Kgl. Veterinaer-og Landbohojskole, Copenhagen, Denmark (in Danish).
Healy, R. W. (1990). “Simulation of solute transport in a variably saturated porous media with supplemental information on modifications to the U.S. Geological Survey’s computer program VS2D.” Water-Resource Investigations Rep. 90-4025, U.S. Geological Survey, Reston, Va.
Jensen, K. H. (1983). “Simulation of water flow in the unsaturated zone including the root zone.” Series Paper No. 33, Institute of Hydrodynamics and Hydraulic Engineering, Technical Univ. of Denmark.
Jensen, S. E. (1979). “Model ETFOREST for calculating actual evapotranspiration.” S. Halldin, ed., Comparison of forest water and energy exchange models, International Society for Ecological Modeling, Copenhagen, Denmark, 165–172.
Kirkland, M. R. (1991). “Algorithms for solving Richards equation for variably saturated soils.” PhD dissertation, New Mexico State Univ., Las Cruces, N.M.
Kristensen, K. J., and Jensen, S. E. (1975). “A model for estimating actual evapotranspiration from potential evapotranspiration.” Nord. Hydrol., 6, 170–188.
Lappala, E. G., Healy, R. W., and Weeks, E. P. (1987). “Documentation of computer program VS2D to solve the equations of fluid flow in variably saturated porous media.” Water-Resources Investigations Rep. 83–4099, U.S. Geological Survey, Washington, D.C.
McCarthy, E. J., and Skaggs, R. W. (1992). “Hydrologic model for drained forest watershed.” J. Irrig. Drain. Eng., 118, 242–255.
McDonald, M. G., and Harbaugh, A. W. (1988). “A modular three-dimensional finite-difference groundwater flow model.” U.S. Geological Survey Techniques of Water-Resources Investigations, Book 6, Chap. A1, Washington, D.C.
McKenna, R., and Nutter, W. L. (1984). “Some modifications to CREAMS for forested applications.” Forest Resources Research Rep., School of Forest Resources, Univ. of Georgia, Athens, Ga.
Molz, F. J. (1981). “Models of water transport in the soil-plant system: A review.” Water Resour. Res., 17(5), 1245–1260.
Narasimhan, T. N. (1998). “Something to think about...Darcy-Buckingham's law.” J. Ground Water, 36(2), 194–195.
Paniconi, C., Aldama, A. A., and Wood, E. F. (1991). “Numerical evaluation of iterative and noniterative methods for the solution of the nonlinear Richards equation.” Water Resour. Res., 27(6), 1147–1163.
Prasad, R. (1988). “A linear root water uptake model.” J. Hydrol., 99, 297–306.
Priestly, C. H. B., and Taylor, R. J. (1972). “On the assessment of surface heat flux and evaporation using large-scale parameters.” Mon. Weather Rev., 100, 81–92.
Refsgaard, J. C., and Storm, B. (1995). “MIKE SHE.” Computer models of watershed hydrology, V. P. Singh, ed., Water Resources Publications, 733–782.
Ritchie, J. (1972). “Model for predicting evaporation from a row crop with incomplete cover.” Water Resour. Res., 8, 1204–1213.
Rubin, J. (1968). “Theoretical analysis of two-dimensional, transient flow of water in unsaturated and partly saturated soils.” Soil Sci. Soc. Am. Proc., 32(5), Madison, Wisc., 607–615.
Rutter, A. J., Morton, A. J., and Robins, P. C. (1975). “A predictive model of rainfall forests. II: Generalization of the model and comparison with observations in some coniferous and hardwood stands.” J. Appl. Ecol., 12, 367–380.
Van Genuchten, M. T., and Nielsen, D. R. (1985). “On describing and predicting the hydraulic properties of unsaturated soils.” Ann. Geophys. (Gauthier-Villars, 1983-1985), 3(5), 615–628.
Viswanadham, Y., Silva Filho, V. P., and Andre, R. G. B. (1991). “The Priestly-Taylor parameter alpha for the Amazon forest.” Forest Ecol. Manage., 8, 211–225.
Voss, C. I. (1984). “A finite-element simulation model for saturated-unsaturated, fluid-density-dependent ground-water flow with energy transport or chemically-reactive single-species solute transport.” Water-Resources Investigations Rep. 84-4369, U.S. Geological Survey, Washington, D.C.
Yeh, G. T., and Cheng, J. R. (1994). 3DFEMWATER user manual: A three-dimensional finite-element model of water flow through saturated-unsaturated media: Version 2.0. Pennsylvania State Univ., University Park, Pa.
Yeh, G. T., and Ward, D. S. (1980). “FEMWATER: A finite-element model of water flow through saturated-unsaturated porous media.” ORNL-5567, Oak Ridge National Laboratory, Oak Ridge, Tenn.
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Information
Published In
Journal of Hydrologic Engineering
Volume 10 • Issue 6 • November 2005
Pages: 492 - 504
Copyright
© 2005 ASCE.
History
Received: Sep 30, 2002
Accepted: Jul 5, 2004
Published online: Nov 1, 2005
Published in print: Nov 2005
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