Abstract
This chapter describes a series of detailed soil-water tracer experiments conducted in a natural landscape. It also discusses three different approaches taken to numerically model the observed flow and transport. These field experiments provide the first conclusive evidence for the existence of a variable, state-dependent anisotropy in the hydraulic conductivity of an unsaturated, layered medium in a natural field setting. This concept has been previously postulated in a number of independent theoretical and experimental investigations. While previous studies have identified layered heterogeneity as the principal cause of state-dependent anisotropy, we develop a simple scenario to show how hysteresis in the soil-moisture characteristics (θ-ψ relationship) can contribute to the anisotropic behavior of a texturally homogeneous, porous media profile under transient, unsaturated conditions. Three approaches at modeling the observed flow and transport are implemented and compared. The results of the computer simulations indicate that even relatively uniform media (such as the sands from our field site) exhibit variable anisotropy, and that local (laboratory scale) hysteresis makes only minor contributions to macroscopic anisotropic flow behavior.
Access this chapter
Tax calculation will be finalised at checkout
Purchases are for personal use only
Preview
Unable to display preview. Download preview PDF.
Similar content being viewed by others
References
Bah, A. A., L. W. Gelhar, A. L. Gutjahr, and R. J. MacMillan: 1978, ‘Stochastic Analysis of Spatial Variability in Subsurface Flows; 1. Comparison of One-and Three-dimensional Flows,’ Water Resour. Research 14(2), 233–271.
Bear, J., C. Braester, and P. Menier: 1987, ‘Effective and Relative Permeabilities of Anisotropic Porous Media,’ Transport in Porous Media 2, 301–316.
Bear, J., and C. Braester: 1987, Comment on ‘A Three-dimensional Finite Element Model for Simulating Water Flow in Variably Saturated Porous Media,’ by P. S. Huyakorn et al., Water Resour. Res. 23(8), 1705–1706.
Bresler, E., W. D. Kemper, and R. J. Hanks: 1969, ‘Infiltration, Redistribution, and Subsequent Evaporation of Water From Soil as Affected by Wetting and Hysteresis,’ SSSA Proc. 33, 832–840.
Gelhar, L. W, and C. L. Axness: 1983, ‘Three-dimensional Stochastic Analysis of Macrodispersion in Aquifers,’ Water Resour. Res. 19(1), 161–180.
Hanks, R. J., A. Klute, and E. Bresler: 1969, ‘A Numeric Method for Estimating Infiltration Redistribution, Drainage, and Evaporation of Water From Soil,’ Water Resour. Res. 5(5), 1064–1069.
Huyakorn, P. S., S. D. Thomas, and B. M. Thompson: 1984, ‘Techniques for Making Finite Elements Competitive in Modeling Flow in Variably Saturated Porous Media,’ Water Resour. Res. 20(8), 1099–1115.
Huyakorn, P. S., and G. F. Pinder: 1983, Computational Methods in Subsurface Flow, Academic Press, 473 pp.
Huyakorn, P. S., and K. Nilkuha: 1979, ‘Solution of Transient Transport Equation Using an Upstream Finite Element Scheme,’ Applied Mathematical Modeling 3, 7–17.
Jaynes, D. B.: 1984, ‘A Comparison of Soil-Water Hysteresis Models,’ Journal of Hydrology 75, 287–299.
Leavitt, M.: 1986, ‘Spatial Variability of Fluvial and Eolian Soils at the Sevilleta NWR,’ Unpublished Master Sci. Indep. Study, NMIMT, Socorro, NM.
Mantoglou, A., and L. W. Gelhar: 1987, ‘Effective Hydraulic Conductivities of Transient Unsaturated Flow in Stratified Soils,’ WRR 23(1), 57–67.
McCord, J. T.: 1988, ‘Hysteresis and State-Dependent Anisotropy in Variably Saturated Flow: Field, Laboratory, and Numerical Modeling Investigation,’ Ph.D. Dissertation, New Mexico Inst. of Mining and Technology, Socorro, NM, 354 pp.
McCord, J. T., and D. B. Stephens: 1987, ‘Lateral Moisture Movement on Sandy Hillslope in the Apparent Absence of an Impeding Layer,’ Journal of Hydrological Processes 1(3), 225–228.
McCord, J. T., D. B. Stephens, and J. L. Wilson: 1991, ‘The Importance of Hysteresis and State-dependent Anisotropy in Modeling Hillslope Hydrologic Processes,’ Accepted for publication in Water Resour. Res.
Mualem, Y.: 1984, ‘Anisotropy of Unsaturated Soils,’ SSSA Journal 48, 505–509.
Rubin, J.: 1967, ‘Numerical Method for Analyzing Hysteresis Affected Post-Infiltration Redistribution of Soil Moisture,’ SSSA Proc. 31, 13–20.
Stephens, D. B., and S. Heermann: 1988, ‘Dependence of Anisotropy on Saturation in a Stratified Sand,’ Water Resour. Res. 24(5), 770–778.
van Genuchten, M. T: 1980, ‘A Closed-form Equation for Predicted the Hydraulic Conductivity of Unsaturated Soils,’ SSSA Journ. 44, 892–898.
Yeh, T-C. J., L. W. Gelhar, and A. L. Gutjahr: 1985a, ‘Stochastic Analysis of Unsaturated Flow in Heterogeneous Soils 1. Statistically Isotropic Media,’ Water Resour. Res. 21, 447–456.
Yeh, T-C. J., L. W. Gelhar, and A. L. Gutjahr: 1985b, ‘Stochastic Analysis of Unsaturated Flow in Heterogeneous Soils 2. Statistically Anisotropic Media With Variable a, ’ Water Resour. Res. 21, 457–464.
Yeh, T-C. J., L. W. Gelhar, and A. L. Gutjahr: 1985c, ‘Stochastic Analysis of Unsaturated Flow in Heterogeneous Soils 3. Observations and Applications,’ Water Resour. Res. 21, 465–471.
Zaslaysky, D., and G. Sinai: 1981a, ‘Surface Hydrology: I. Explanation of Phenomena,’ Proc. Paper 15958, Joum. of Hydraulics Div., ASCE, 107(HY1), 1–16.
Zaslaysky, D., and G. Sinai: 1981b, ‘Surface Hydrology: III. Causes of Lateral Flow,’ Proc. Paper 15960,.Iourn. of Hydraulics Div.,ASCE, 107(HY1), 37–52.
Zaslaysky, D., and G. Sinai: 1981c, ‘Surface Hydrology: IV. Flow in Sloping, Layered Soil,’ Proc. Paper 15961, Journ. of Hydraulics Div., ASCE, 107(HY1), 53–64.
Author information
Authors and Affiliations
Editor information
Editors and Affiliations
Rights and permissions
Copyright information
© 1991 Springer Science+Business Media Dordrecht
About this chapter
Cite this chapter
McCord, J.T., Stephens, D.B., Wilson, J.L. (1991). Numerical Simulations and Field Experiments of Unsaturated Flow and Transport: The Roles of Hysteresis and State-Dependent Anisotropy. In: Bowles, D.S., O’Connell, P.E. (eds) Recent Advances in the Modeling of Hydrologic Systems. NATO ASI Series, vol 345. Springer, Dordrecht. https://doi.org/10.1007/978-94-011-3480-4_29
Download citation
DOI: https://doi.org/10.1007/978-94-011-3480-4_29
Publisher Name: Springer, Dordrecht
Print ISBN: 978-94-010-5538-3
Online ISBN: 978-94-011-3480-4
eBook Packages: Springer Book Archive