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L. Gelhar, C. Axness (1983)
Three‐dimensional stochastic analysis of macrodispersion in aquifersWater Resources Research, 19
W. Jury (1982)
Simulation of solute transport using a transfer function modelWater Resources Research, 18
G. Sposito, R. White, P. Darrah, W. Jury (1986)
A Transfer Function Model of Solute Transport Through Soil: 3. The Convection‐Dispersion EquationWater Resources Research, 22
E. Bresler, G. Dagan (1983)
Unsaturated flow in spatially variable fields: 2. Application of water flow models to various fieldsWater Resources Research, 19
G. Dagan, V. Nguyen (1989)
A comparison of travel time and concentration approaches to modeling transport by groundwaterJournal of Contaminant Hydrology, 4
W. Jury, G. Sposito (1985)
Field calibration and validation of solute transport models for the unsaturated zoneSoil Science Society of America Journal, 49
M. Genuchten, P. Wierenga (1976)
Mass transfer studies in sorbing porous media. I. Analytical solutionsSoil Science Society of America Journal, 40
A. Mantoglou, L. Gelhar (1987)
Stochastic modeling of large‐scale transient unsaturated flow systemsWater Resources Research, 23
S. Wheatcraft, S. Tyler (1988)
An explanation of scale‐dependent dispersivity in heterogeneous aquifers using concepts of fractal geometryWater Resources Research, 24
G. Sposito, D. Barry (1987)
On the Dagan Model of solute transport in groundwater: Foundational aspectsWater Resources Research, 23
R. White, J. Dyson, R. Haigh, W. Jury, G. Sposito (1986)
A Transfer Function Model of Solute Transport Through Soil: 2. Illustrative ApplicationsWater Resources Research, 22
G. Dagan, E. Bresler (1979)
Solute Dispersion in Unsaturated Heterogeneous Soil at Field Scale: I. TheorySoil Science Society of America Journal, 43
G. Sposito, W. Jury, V. Gupta (1986)
Fundamental Problems in the Stochastic Convection‐Dispersion Model of Solute Transport in Aquifers and Field SoilsWater Resources Research, 22
G. Butters, W. Jury, F. Ernst (1989)
Field scale transport of bromide in an unsaturated soil: 1. Experimental methodology and resultsWater Resources Research, 25
J. Biggar, D. Nielsen (1976)
Spatial variability of the leaching characteristics of a field soilWater Resources Research, 12
A. Amoozegar-Fard, D. Nielsen, A. Warrick (1982)
Soil Solute Concentration Distributions for Spatially Varying Pore Water Velocities and Apparent Diffusion Coefficients 1Soil Science Society of America Journal, 46
G. Matheron, G. Marsily (1980)
Is transport in porous media always diffusive? A counterexampleWater Resources Research, 16
W. Jury, G. Sposito, R. White (1986)
A Transfer Function Model of Solute Transport Through Soil: 1. Fundamental ConceptsWater Resources Research, 22
C. Simmons (1982)
A stochastic‐convective transport representation of dispersion in one‐dimensional porous media systemsWater Resources Research, 18
F. Molz, O. Güven, J. Melville (1983)
An Examination of Scale-Dependent Dispersion CoefficientsGround Water, 21
G. Dagan (1984)
Solute transport in heterogeneous porous formationsJournal of Fluid Mechanics, 145
S. Neuman, C. Winter, C. Newman (1987)
Stochastic theory of field‐scale fickian dispersion in anisotropic porous mediaWater Resources Research, 23
W. Jury, L. Stolzy, P. Shouse (1982)
A field test of the transfer function model for predicting solute transportWater Resources Research, 18
D. Jaynes, R. Rice, R. Bowman (1988)
Independent Calibration of a Mechanistic‐Stochastic Model for Field‐scale Solute Transport Under Flood IrrigationSoil Science Society of America Journal, 52
G. Dagan (1986)
Statistical Theory of Groundwater Flow and Transport: Pore to Laboratory, Laboratory to Formation, and Formation to Regional ScaleWater Resources Research, 22
A. Warrick, J. Biggar, D. Nielsen (1971)
Simultaneous Solute and Water Transfer for an Unsaturated SoilWater Resources Research, 7
J. Biggar, D. Nielsen (1967)
Miscible Displacement and Leaching Phenomenon
The solute concentrations measured in the field experiment of G. L. Butters et al. (this issue) are used to compare two models of vadose zone solute transport: the deterministic one‐dimensional convection‐dispersion model, which represents solute transport far from the source of solute entry, and the stochastic‐convective lognormal transfer function model, which represents solute transport near the source. The stochastic‐convective model provided an excellent representation of the spreading of the solute pulse to a depth of 3 m after calibration at 0.3 m. Conversely, the deterministic model dramatically underpredicted solute spreading beyond 0.3 m after calibration. An analysis of the area‐averaged solute concentration revealed a nearly linear scale effect in the dispersivity to a depth of at least 14.8 m. A change in the growth pattern of dispersion observed in the breakthrough curve at 4.5 m was attributed to a soil texture change near 3 m, which caused the apparent dispersivity of the pulse to decrease between 3.0 and 4.5 m, after which it increased significantly between 4.5 m and the final profile sampling between 0 and 25 m.
Water Resources Research – Wiley
Published: Jul 1, 1989
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