Abstract
The soil water retention curve (WRC) and the saturated hydraulic conductivity (Ks) were measured in three overlying horizons in a vertical soil profile. The spatial variability in WRC and Ks was described with two separate sets of scaling factors, i.e., αr,Ψ and αr,K for WRC and Ks, respectively. Both sets of scaling factors were found to be lognormally distributed. The loge-transformed scaling factors exhibited stationarity in their variance but showed non-stationarity in their median, both in vertical and horizontal direction. The trends or large scale deterministic variations were successfully removed using a median polish algorithm. The large scale variations contributed significantly to the total observed variability for the αr,Ψ parameters of the C2 horizon and for the αr.K parameters of the Ap horizon. Spatial structure for scaling parameters was only observed in these two cases, whereas a pure nugget was observed in all other cases.
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References
Chamber, J.M., Cleveland, W.S., Kleiner, B., and. Tukey, P.A (1983) Graphical methods Pr data analysis, Belmont, CA, Wadsworth publishing company.
Cressie, N.A.C. (1993) Statistics /i,r spatial data, John Wiley, NY.
Cressie, N.A.C., and Horton, R. (1987) A robust-resistant spatial analysis of soil water infiltration, Water Resources Research 23, 911–917.
Destouni, G. (1992) The effect of vertical soil heterogeneity on field scale solute flux, Water Resources Research 28, 1303–1309.
Hopmans, J. (1987) A comparison of various methods to scale soil hydraulic properties, Journal of Hydrology 93, 241–256.
Mallants, D., Jacques, D., Tseng, P.-H., van Genuchten, M.Th., and Feyen, J. (1996a) Comparison of three hydraulic property measurement methods, Journal of Hydrology, accepted.
Mallants, D., Jacques, D., Vanclooster, M., Diels, J., and Feyen, J. (1996b) A stochastic approach to simulate water flow in a macroporous soil, Geoderma 70, 299–313.
Mallants, D., Mohanty, B.P., Jacques, D., and Feyen, J. (1996e) Spatial variability of hydraulic properties in a multi-layered soil profile., Soil Science 161, 167–181.
Matheron, G. (1963) Principles of geostatistics, Economical Geology 19, 129–149.
Miller, E.E., and Miller, R.D. (1956) Physical theory for capillary flow phenomena, Journal of Applied Physics 27, 324–332.
Mohanty, B.P., and Kanwar, R.S. (1994) Spatial variability of residual nitrate-nitrogen under two tillage systems in central Iowa: A composite three-dimensional resistant and exploratory approach, Water Resources Research 30, 237–251.
Mohanty, B.P., Kanwar, R.S., and Horton, R. (1991) A robust-resistant approach to interpret spatial behavior of saturated hydraulic conductivity, Water Resources Research 27, 2979–2992.
Roth, K. (1995) Steady state flow in an unsaturated, two-dimensional, macroscopically homogeneous, Miller-similar medium, Water Resources Research 31, 2127–2140.
Russo, D., and Jury, W.A. (1987) A theoretical study of the estimation of the correlation scale in spatially variable fields 2. Nonstationary fields, Water Resources Research 23, 1269–1279.
Russo, D., Zaidel, J., and Laufer, A. (1994) Stochastic analysis of solute transport in partially saturated heterogeneous soil. 1. Numerical experiments, Water Resources Research 30, 769–779.
Simmons, C.S., Nielsen, D.R., and Biggar, J.W. (1979) Scaling of field-measured soil water properties, Hilgardia 47, 77–154.
Tillotson, P.M., and Nielsen, D.R. (1984) Scale factors in soil science, Soil Science Society of American Journal 48, 953–959.
Timmerman, A., Vanderborght, J., Mallants, D., Jacques, D., and Feyen, J. (1996) Detecting macropore flow in the field with TDR and staining patterns, European Geophysical Society, XXI General Assembly, The Hague, The Neterlands, 6–10 May, p. 327.
Tseng, P.-H. and Jury, W.A. (1994) Comparison of transfer function and deterministic modeling of area-averaged solute transport in a heterogeneous field, Water Resources Research 30, 2051–2063.
Vanderborght, J., Jacques, D., Mallants, D., Tseng, P., and Feyen, J. (1996) Analysis of solute redistribution in heterogeneous soil: B. Numerical simulation of solute transport, First European Conference on Geostatistics for Environmental Applications, 20–22 November, Lisbon, Portugal, this issue.
van Genuchten, M.Th (1980) A closed-form equation for predicting the hydraulic conductivity of unsaturated soils, Soil Science Society of American Journal 44, 892–898.
Vogel, T., Cislerova, M., and Hopmans, J.W. (1991) Porous media with linearly variable hydraulic properties, Water Resources Research 27, 2735–2741.
Warrick, A.W., Mullen, G.J., and Nielsen, D.R. (1977) Scaling field-measured soil hydraulic properties using a similar media concept, Water Resources Research 13, 355–362.
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Jacques, D., Vanderborght, J., Mallants, D., Mohanty, B.P., Feyen, J. (1997). Analysis of Solute Redistribution in Heterogeneous Soil. In: Soares, A., Gómez-Hernandez, J., Froidevaux, R. (eds) geoENV I — Geostatistics for Environmental Applications. Quantitative Geology and Geostatistics, vol 9. Springer, Dordrecht. https://doi.org/10.1007/978-94-017-1675-8_23
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DOI: https://doi.org/10.1007/978-94-017-1675-8_23
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