Abstract
The purpose of this paper is to briefly review current approaches to quantifying (modeling) solute transport in the unsaturated (vadose) zone of field soils. Much progress has been attained in the analytical and numerical description of vadose zone transfer processes. A variety of mathematical models are now available to describe and predict water flow and solute transport between the land surface and the groundwater table. The most popular models remain the classical Richards’ equations for unsaturated flow and the Fickian-based convection-dispersion equation for solute transport. While deterministic solutions of these equations remain useful tools in both fundamental and applied research, their practical utility for predicting actual field-scale water and solute distributions is increasingly being questioned. Problems caused by preferential flow through soil macro-pores, spatial and temporal variability in the soil hydraulic properties, various nonequilibrium processes affecting chemical transport, and a lack of progress in improving our field measurement technology, have contributed to some disillusionment with the classical models. A number of alternative deterministic and stochastic approaches have been proposed to better deal with field-scale heterogeneities. These models have greatly increased our quantitative understanding of field-scale flow and transport processes, and in some cases also resulted in better practical tools for management purposes.
Access this chapter
Tax calculation will be finalised at checkout
Purchases are for personal use only
Preview
Unable to display preview. Download preview PDF.
References
Abriola, L. M. and G. F. Pinder, 1985, A multi-phase approach to the modeling of porous media contamination by organic compounds, 1, Equation development, Water Resour. Res., 21:11–18.
Addiscott, T.M., and R. J. Wagenet, 1985, Concepts of solute leaching in soils: A review of modeling approaches, J. Soil Sci., 36:411–424.
Amoozegard-Fard, A., D. R. Nielsen, and A. W. Warrick, 1982, Soil solute concentration distributions for spatially varying pore water velocities and apparent diffusion coefficients, Soil Sci. Soc. Am. J., 46:3–9.
Anderson, J., and A. M. Shapiro, 1983, Stochastic analysis of one-dimensional and steady-state unsaturated flow: A comparison of Monte Carlo and perturbation methods, Water Resour. Res., 19:121–133.
Beven, K., and P. Germann, 1982, Macropores and water flow in soils, Water Resour. Res., 18:1311–1325.
Bresler, E., and G. Dagan, 1983, Unsaturated flow in spatially variable fields, 3, Solute transport models and their application to two fields, Water Resour. Res., 19:429–435.
Carnahan, C. L., and J. S. Remer, 1984, Nonequilibrium and equilibrium sorption with linear sorption isotherm during mass transport through an infinite porous medium: Some analytical solutions, J. Hydrol., 73:227–258.
Cederberg, G. A., R. L. Street, and J. 0. Leckie, 1985, A groundwater mass transport and equilibrium chemistry model for multi-component systems, Water Resour. Res., 21:1095–1104.
Charbeneau, R. J., 1988, Multicomponent exchange and subsurface solute transport: Characteristics, coherence and the Riemann problem, Water Resour. Res., 24:57–64.
Dagan, G., 1984, Solute transport in heterogeneous porous formations, J. Fluid Mech., 145:151–177.
Dagan, G., and E. Bresler, 1983, Unsaturated flow in spatially variable fields, 1, Derivation of models of infiltration and redistribution, Water Resour. Res., 19:413–420.
Dalton, F. N., W. N. Herkelrath, D.S. Rawlins, and J.D. Rhoades, 1984, Time-domain reflectometry: Simultaneous measurement of soil water content and electrical conductivity with a single probe, Science, 224:989–990.
Davidson, M. R., 1985, Numerical calculation of saturated-unsaturated infiltration in a cracked soil, Water Resour. Res., 21:709–714.
DeSmedt, F., and P. J. Wierenga, 1984, Solute transfer through columns of glass beads, Water Resour. Res., 20:225–232.
Dyson, J. S., and R. E. White, 1987, A comparison of the convection-dispersion equation and transfer function model for predicting chloride leaching through an undisturbed, structured clay soil, J. Soil Sci., 38:157–172.
Gelhar, L. W., and C. L. Axness, 1983, Three-dimensional stochastic analysis of macrodispersion in aquifers, Water Resour. Res., 19:161–180.
Gelhar, L. W., A. L. Gutjahr, and R. N. Naff, 1979, Stochastic analysis of macrodispersion in aquifers, Water Resour. Res., 15:1387–1397.
Germann, P. F., and K. Beven, 1985, Kinematic wave approximation to infiltration into soils with sorbing macropores, Water Resour. Res., 21:990–996.
Gillham, R. W., E. A. Sudicky, J. A. Cherry, and E. 0. Frind, 1984, An advection-diffusion concept for transport in heterogeneous unconsolidated geologic deposits, Water Resour. Res., 20:369–378.
Goltz, M. N., and P. V. Roberts, 1986a, Three-dimensional solutions for solute transport in an infinite medium with mobile and immobile zones, Water Resour. Res., 22:1139–1148.
Goltz, M. N., and P. V. Roberts, 1986b, Interpreting organic solute transport data from a field experiment using physical nonequilibrium models, J. Contam. Hydrol., 1:77–93.
Hewett, T. A., 1986, Fractal distributions of reservoir heterogeneity and their influence on fluid transport, Paper SPE 5386, 61st Annual Technical Conf., Soc. Pet. Eng., New Orleans, Louisiana, Oct. 5–8, 1986.
Huyakorn, P. S., B. H. Lester, and J. W. Mercer, 1983, An efficient finite element technique for modeling transport in fractured porous media, 1, Single species transport, Water Resour. Res., 19:841–854.
Jury, W. A., 1982, Simulation of solute transport using a transfer function model, Water Resour. Res., 18:363–368.
Jury, W. A., 1984, Field scale water and solute transport through unsaturated soils, in: “Soil Salinity Under Irrigation”, I. Shainberg and J. Shalhevet, eds., pp. 115–129, Springer-Verlag, New York.
Jury, W. A., W. F. Spencer, and W. J. Farmer, 1983, Behavior assessment model for trace organics in soil, I, Model description, J. Environ. Qual., 12:558–564.
Jury, W. A., G. Sposito, and R. E. White, 1986, A transfer function model of solute transport through soil, l, Fundamental concepts, Water Resour. Res, 22:243–247.
Jury, W. A., D. Russo, and G. Sposito, 1987, Spatial variability of water and solute transport in unsaturated soil, II, Scaling models of water transport, Hilgardia, 55:33–55.
Knighton, R. E., and R. J. Wagenet, 1987, Simulation of solute transport using a continuous time Markov process, l, Theory and steady state application, Water Resour. Res., 23:1911–1916.
Kirkner, D. J., Theis, T. L., and A. A. Jennings, 1984, Multicomponent solute transport with sorption and soluble coraplexation, Adv. Water Resour., 7:120–125.
Kool, J.B., and J. C. Parker, 1988, Analysis of the inverse problem for transient unsaturated flow, Water Resour. Res., 24:817–830.
Kool, J. B., J. C. Parker, and M. Th. van Genuchten, 1987, Parameter estimation for unsaturated flow and transport models, J. Hydrol., 91:255–293.
MacKay, D. M., P. V. Roberts, and J. A. Cherry, 1985, Transport of organic contaminants in groundwater, Environ. Sci. Techn., 19:384–392.
Maloszewski, P., and A. Zuber. 1985, On the theory of tracer experiments in fissured rocks with a porous matrix, J. Hydrol., 79:333–358.
Miller, C. W., and L. V. Benson, 1983, Simulation of solute transport in a chemically reactive heterogeneous system: Model development and application, Water Resour. Res., 19:381–391.
Miller, E. E. 1980. Similitude and scaling of soil-water phenomena, in: “Applications of Soil Physics”, D. Hillel, ed., pp. 300–318, Academic Press, New York.
Miller, E. E., and R. D. Miller, 1956, Physical theory of capillary flow phenomena, J. Appl. Phys., 27:324–332.
Nielsen, D. R., P. M. Tillotson, and S. R. Veira, 1983, Analyzing field-measured soil-water properties, Agric. Water Manage., 6:93–109.
Nielsen, D. R., M. Th. van Genuchten, and J. W. Biggar, 1986, Water flow and solute transport processes in the unsaturated zone, Water Resour. Res., 22:89S–108S.
Nkedi-Kizza, P., J. W. Biggar, H. M. Selim, M. Th. van Genuchten, P. J. Wierenga, J. M. Davidson, and D. R. Nielsen, 1984, On the equivalence of two conceptual models for describing ion exchange during transport through an aggregated Oxisol, Water Resour. Res., 20:1123–1130.
Paetzold, R. F., G. A. Matzkanin, and A. De Los Santos, 1985, Surface soil water content measurement using pulsed nuclear magnetic resonance techniques, Soil Sci. Soc. Am. J., 49:537–540.
Parker, J. C., and P. M. Jardine, 1986, Effects of heterogeneous adsorption behavior on ion transport, Water Resour. Res., 22:1334–1340.
Parker, J. C., and A. J. Valocchi, 1986, Constraints on the validity of equilibrium and first-order kinetic transport models in structured soils, Water Resour. Res., 22:399–407.
Parker, J. C., and M. Th. van Genuchten, 1984, Determining transport parameters from laboratory and field tracer experiments, Bull. 84–3, Virginia Agric. Exp. Sta., Blacksburg, Virginia.
Peck, A. J., 1983, Field variability of soil physical properties, Adv. Irrigation, 2:189–221.
Persaud, N., J. V. Giraldez, and A. C. Chang. 1985, Monte-Carlo simulation of non-interacting solute transport in a spatially heterogeneous soil, Soil Sci. Soc. Am. J., 49:562–568.
Pinder, G. F., and L. M. Abriola, 1986, On the simulation of nonaqueous phase organic compounds in the subsurface, Water Resour. Res., 22.109S–119S.
Rao, P. S. C., J. M. Davidson, and H. M. Selim, 1979, Evaluation of conceptual models for describing nonequilibrium adsorption-desorption of pesticides during steady flow in soils, Soil Sci. Soc. Am. J., 43:22–28.
Rasmuson, A., 1984, Migration of radionuclides in fissured rock: Analytical solutions for the case of constant source strength, Water Resour. Res., 20:1435–1442.
Rubin, J., and R. V. James, 1973, Dispersion-affected transport of reacting solutes in saturated porous media: Galerkin method applied to equilibrium-controlled exchange in unidirectional steady water flow, Water Resour. Res., 9:1332–1356.
Schulin, R., M. Th. van Genuchten, H. Fluhler, and P. Ferlin, 1987, An experimental study of solute transport in a stony field soil, Water Resour. Res., 23:1785–1794.
Selim, H. M., J. M. Davidson, and R.S. Mansell, 1976, Evaluation of a two-site adsorption- desorption model for describing solute transport in soils, Proceedings 1976 Summer Computer Simulation Conference, pp. 444–448, July 12–14, 1976, Washington, D.C.
Seyfried, M. S., and P. S. C. Rao, 1987, Solute transport in undisturbed columns of an aggregated tropical soil: Preferential flow effects, Soil Sci. Soc. Am. J., 51:1434–1444.
Simmons, C. S., 1982, A stochastic-convective ensemble method for representing dispersive transport in groundwater, Report CS-2258, Electric Power Research Institute, Palo Alto, California.
Sposito, G., and W. A. Jury, 1985, Inspectional analysis in the theory of water flow through soil, Soil Sci. Soc. Am. J., 49:791–797.
Sposito, G., W. A. Jury, and V. K. Gupta, 1986a, Fundamental problems in the stochastic convection-dispersion model of solute transport in aquifers and field soils, Water Resour. Res., 22:77–88.
Sposito, G., R. E. White, P. R. Darrah, and W. A. Jury, 1986b, A transfer function model of solute transport through soil, 3, The convection-dispersion equation, Water Resour. Res., 22:255–262.
Tillotson, P. M., and D. R. Nielsen, 1984, Scale factors in soil science, Soil Sci. Soc. Am. J., 48:953–959.
Topp, G. C., M. Yanuka, W.D. Zebchuk, and S. Zegelin, 1988, Determination of electrical conductivity using time domain reflectometry: Soil and water experiments in coaxial lines, Water Resour. Res., 24:945–952.
Valocchi, A. J., 1984, Describing the transport of ion-exchanging contaminants using an effective Kd approach, Water Resour. Res., 20:499–503.
Valocchi, A. J., 1985, Validity of the local equilibrium assumption for modeling sorbing solute transport through homogeneous soils, Water Resour. Res., 21:808–820.
van Eijkeren, J. C. M., and J. P. G. Loch, 1984, Transport of cationic solutes in sorbing porous media, Water Resour. Res., 20:714–718.
van Genuchten, M. Th., 1981. Non-equilibrium transport parameters from miscible displacement experiments, Res. Report No. 119, U.S. Salinity Lab., Riverside, California.
van Genuchten, M. Th., 1985, A general approach for modeling solute transport in structured soils, Memoires Int. Assoc. Hydrogeol., 17: 513–526.
van Genuchten, M. Th., and F. N. Dalton, 1986, Models for simulating salt movement in aggregated field soils, Geoderma, 38:165–183.
Wagenet, RJ. Principles of salt movement in soil, 1983, in: “Chemical Mobility and Reactivity in Soil Systems”, DW Nelson et al., eds., pp. 123–140, Soil Science Society of America, Madison, Wisconsin.
Wagenet, R. J., and P. S. C. Rao. 1985, Basic concepts of modeling pesticide fate in the crop root zone, Weed Sci., 33(Suppl. 2):25–32.
Wagner, B. J., and S. M. Gorelick, 1986, A statistical method for estimating transport parameters: Theory and applications to one-dimensional advec-tive-dispersive systems, Water Resour. Res., 22:1303–1315.
Wang, J. S. Y., and T. N. Narasimhan, 1985, Hydrologie mechanisms governing fluid flow in a partially saturated, fractured, porous medium, Water Resour. Res., 21:1861–1874.
Wheatcraft, S. W., and S. W. Tyler, 1988, An explanation of scale-dependent dispersivity in heterogeneous aquifers using concepts of fractal geometry, Water Resour. Res., 24:566–578.
White, R. E., 1985, The influence of macropores on the transport of dissolved matter through soil, Adv. Soil Sci., 3:95–120.
White, R. E., J. S. Dyson, R. A. Haigh, W. A. Jury, and G. Sposito, 1986, A transfer function model of solute transport through soil, 2, illustrative examples, Water Resour. Res., 22:248–254.
Yeh, GT, and RJ Luxmoore, 1982, Chemical transport in macropore-mesopore media under partially saturated conditions, in: “Symposium on Unsaturated Flow and Transport Modeling”, EM Arnold, GW, Gee and RW Nelson, eds., pp. 267–281, NUREG/CP- 0030, U. S. Nuclear Regulatory Commission Washington, DC.
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.
Author information
Authors and Affiliations
Editor information
Editors and Affiliations
Rights and permissions
Copyright information
© 1989 Plenum Press, New York
About this chapter
Cite this chapter
van Genuchten, M.T., Shouse, P.J. (1989). Solute Transport in Heterogeneous Field Soils. In: Allen, D.T., Cohen, Y., Kaplan, I.R. (eds) Intermedia Pollutant Transport. Springer, Boston, MA. https://doi.org/10.1007/978-1-4613-0511-8_12
Download citation
DOI: https://doi.org/10.1007/978-1-4613-0511-8_12
Publisher Name: Springer, Boston, MA
Print ISBN: 978-1-4612-7843-6
Online ISBN: 978-1-4613-0511-8
eBook Packages: Springer Book Archive