Unsaturated Flow Modeling—Exact Solution to Approximate Problem?
Publication: Journal of Water Resources Planning and Management
Volume 120, Issue 2
Abstract
Unsaturated flow models are increasingly being used in ground‐water quantity/quality studies to predict recharges due to rainfall. This paper presents a critical examination of the current practice of using numerical models in light of the approximate nature of problem identification. Three issues are addressed: (1) Sophistication of models; (2) specification of boundary conditions; and (3) selection of hydrogeological properties. To systematically study these issues, two ground‐water models are used, a simple lumped parameter model and the numerical model, UNSAT1. The models are applied to two hypothetical unsaturated domains as well as to a field site where extensive monitoring of ground‐water conditions is reported in literature. The results indicate that, in the case of spatially homogeneous soil profiles, errors in recharge predictions due to improper problem identification are more significant than those due to model simplification. The study exemplifies the importance of problem identification in modeling studies.
Get full access to this article
View all available purchase options and get full access to this article.
References
1.
Alessi, S., Prunty, L., and Schuh, W. M. (1992). “Infiltration simulations among five hydraulic property models.” Soil Sci. Soc. Am. J., 56, 675–682.
2.
Campbell, G. S. (1974). “A simple method for determining unsaturated conductivity from moisture retention data.” Soil Sci., 117, 311–314.
3.
Clapp, R. B., and Hornberger, G. M. (1978). “Empirical equations for some soil hydraulic properties.” Water Resour. Res., 14(4), 601–604.
4.
Danda, S. K. R., and Reddi, L. N. (1992). “Prediction and sensitivity of recharges due to rainfall.” Proc., ASCE Water Forum '92, Baltimore, Md., 397–402.
5.
Freeze, R. A. (1971). “Three‐dimensional, transient, saturated‐unsaturated flow in a groundwater basin.” Water Resour. Res., 7, 347–366.
6.
Freeze, R. A. (1972). “Regionalization of hydrogeologic parameters for use in mathematical models of groundwater flow.” 24th Int. Geologic Congress, Section 11, Hydrogeology, J. E. Cill, ed., Harpell's Press Cooperative, Cardersval, Quebec.
7.
Freeze, R. A., and Banner, J. (1970). “The mechanism of natural ground‐water recharge and discharge 2. Laboratory column experiments and field measurements.” Water Resour. Res., 6(1), 138–155.
8.
Hillel, D. (1989). “Movement and retention of organics in soil: a review and a critique of modeling.” Petroleum contaminated soils, Vol. 1, Lewis Publishers Inc., Chelsea, Mich., 81–86.
9.
Reddi, L. N., Emmett, C. H., Medina, D. E., and Peyton, R. L. (1992). “Survey of and classification criteria for most commonly used groundwater models.” Proc., ASCE Water Forum '92, Baltimore, Md., 575–580.
10.
Reddi, L. N., Lee, I. M., and Wu, T. H. (1990). “A comparison of models predicting groundwater levels on hillside slopes.” Water Resour. Bull., 26(4), 657–667.
11.
Reddi, L. N., and Wu, T. H. (1991). “Probabilistic analysis of ground‐water levels in hillside slopes.” J. Geotech. Engrg., ASCE, 117(6), 872–890.
12.
Sloan, P. G., and Moore, I. D. (1984). “Modeling subsurface storm‐flow on steeply sloping forested watersheds.” Water Resour. Res., 20, 1815–1822.
13.
van der Heijde, P., Bachmat, Y., Bredehoeft, J., Andrews, B., Holtz, D., and Sebastian, S. (1985). “Groundwater management: the use of numerical models.” Water Resources Monograph 5, American Geophysical Union, Washington, D.C.
14.
van Genuchten, M. T. (1978). “Numerical solutions of the one‐dimensional saturated‐unsaturated flow equation.” Res. Report 78‐WR‐09, Water Resources Program, Dept. of Civ. Engrg., Princeton Univ., Princeton, N.J.
15.
van Genuchten, M. T. (1980). “A closed‐form equation for predicting the hydraulic conductivity of unsaturated soils.” Soil Sci. Soc. Am. J., 44, 892–898.
Information & Authors
Information
Published In
Copyright
Copyright © 1994 American Society of Civil Engineers.
History
Received: Aug 31, 1993
Published online: Mar 1, 1994
Published in print: Mar 1994
Authors
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.