Saturated-Unsaturated 3D Groundwater Model. II: Verification and Application
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VIEW THE REPLYPublication: Journal of Hydrologic Engineering
Volume 10, Issue 6
Abstract
Verification and application results are presented for a new saturated-unsaturated 3D groundwater flow model (SU3D) developing in Dogan and Motz, which can be used to calculate the pressure distribution over the entire groundwater flow domain in response to rainfall and evapotranspiration. SU3D solves the nonlinear 3D, modified mixed form of the Richards equation continuously throughout the groundwater flow domain, including both the unsaturated and saturated zones. The block-centered finite-difference method, a modified Picard iteration scheme, and the preconditioned conjugate gradient method are used to solve the governing partial differential equations in the new model. SU3D can simulate evaporation from land surface and transpiration from the root zone. Potential evapotranspiration is partitioned into potential evaporation and potential transpiration as a function of the leaf area index; actual evaporation and actual transpiration are then calculated individually. As shown in this paper, SU3D has been verified by reproducing the results of five analytical and numerical studies and a 3D unconfined-aquifer pumping test from the published literature.
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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. The information in 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
Abdul, A. S. 1985. “Experimental and numerical studies of the capillary fringe on streamflow generation.” Ph.D. thesis, Earth Sciences Dept., Univ. of Waterloo, Waterloo, Canada.
Akindunni, F. F., and Gillham, R. W. (1992). “Unsaturated and saturated flow in response to pumping of an unconfined aquifer: Numerical investigation of delayed drainage.” Ground Water, 30(6), 873–884.
Brooks, R. H., and Corey, A. T. (1964). “Hydraulic properties of porous media.” Colorado State University Hydrology Paper No. 3, 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.
Dogan, A. (1999). “Variably saturated three-dimensional rainfall-driven groundwater flow model.” Ph.D. dissertation, Univ. of Florida, Gainesville, Fla.
Dogan, A., and Motz, L. H. (2005). “Saturated-unsaturated 3D (SU3D) groundwater model, I: Development.” J. Hydrologic Eng.10(6), 492–504.
Freeze, R. A. (1971). “Three-dimensional, transient, saturated-unsaturated flow in a groundwater basin.” Water Resour. Res., 7(2), 347–366.
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.” U.S. Geological Survey Water Resources Investigations Rep. 83-4099, Washington, D.C.
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.
Nwankwor, G. I., Cherry, J. I., and Gillham, R. W. (1984). “A comparative study of specific yield determinations for a shallow sand aquifer.” Ground Water, 22, 764–772.
Nwankwor, G. I., Gillham, R. W., van der Kamp, G., and Akindunni, F. F. (1992). “Unsaturated and saturated flow in response to pumping of an unconfined aquifer: Field evidence of delayed drainage.” Ground Water, 30(5), 690–700.
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.
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.
Srivastava, R., and Yeh, T. J. (1991). “Analytical solutions for one-dimensional, transient infiltration toward the water table in homogeneous and layered soils.” Water Resour. Res., 27(5), 753–762.
Sudicky, E. A. (1986). “A natural gradient experiment on solute transport in a sand aquifer: Spatial variability of hydraulic conductivity and its role in the dispersion process.” Water Resour. Res., 22(13), 2069–2082.
van Genuchten, M. T. (1980). “A closed-form equation for predicting the hydraulic conductivity of unsaturated soils.” Soil Sci. Soc. Am. J., 44, Madison, Wisc., 892–898.
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.
Vauclin, M., Khanji, D., and Vachaud, G. (1979). “Experimental and numerical study of a transient, two-dimensional unsaturated-saturated water table recharge problem.” Water Resour. Res., 15(5), 1089–1101.
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., Sharp-Hansen, S., Leuter, B., Stroble, R., and Scarborough, J. (1992). “3DFEMWATER/3DFEMWASTE: Numerical codes for delineating wellhead protection areas in agricultural regions based on the assimilative capacity criterion.” EPA/600/R-92/223, Environmental Protection Agency, Athens, Ga.
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© 2005 ASCE.
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Received: Sep 30, 2002
Accepted: Jul 5, 2004
Published online: Nov 1, 2005
Published in print: Nov 2005
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