Abstract
This paper reviews theoretical analyses of water flow in the unsaturated zone induced by evaporation and water uptake by plants. The governing equation for such flows is usually taken to be the Richards equation, although there are times when consideration also of vapor or air-flow effects is more realistic. Numerous analytical solutions of various steady and transient boundary-value problems are available for predictions and for verification of more general models. There also exist approximate techniques for linking together in time the analytical descriptions of individual events. Problems of spatial variability can be partially addressed by using some existing analytical results for heterogenous profiles and by performing direct areal integration over variable areas. Problems of water uptake by roots are most easily solved using the quasi-linear analysis and the time-dependent linear analysis.
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References
Black, T. A., W. R. Gardner, and G. W. Thurtell, ‘The prediction of evaporation, drainage, and soil water storage for a bare soil’, Soil Sci. Soc. Am. J., 33(5), 655–660, 1969.
Broadbridge, P., ‘Integrable flow equations that incorporate spatial heterogeneity’, Transport in Porous Media, 2, 129–144, 1987.
Brutsaert, W., ‘Some exact solutions for nonlinear desorptive diffusion’, J. Appi. Math, and Phys., 33, 540–546, 1982.
Bybordi, M., ‘Moisture profiles in layered porous materials during steady-state infiltration’, Soil Sci., 105(6), 379–383, 1968.
Clapp, R. B., ‘A wetting front model of soil water dynamics’, Ph.D. dissertation, Dep. of Environ. Sci., Univ. of Va., Charlottesville, 1982.
de Vries, D. A., ‘Simultaneous transfer of heat and moisture in porous media’, EOS Trans. AGU, 39(5), 909–916, 1958.
Eagleson, P. S., ‘Climate, soil, and vegetation, 3, A simplified model of soil moisture movement in the liquid phase’, Water Resour. Res., 14(5), 722–730, 1978.
Farrell, D. A., E. L. Greacen, and C. G. Gurr, Vapor transfer in soil due to air turbulence, Soil Sci., 102(5), 305–313, 1966.
Fukuda, H., Air and vapor movement in soil due to wind gustiness, Soil Sci., 79, 249–256, 1955.
Gardner, H. R., ‘Prediction of evaporation from homogeneous soil based on the flow equation’, Soil Sci. Soc. Am. J., 37(4), 513–516, 1973.
Gardner, H. R., ‘Prediction of water loss from a fallow field based on soil water flow theory’, Soil Sci. Soc. Am. J., 38(3), 379–382, 1974.
Gardner, H. R. and W. R. Gardner, ‘Relation of water application to evaporation and storage of soil water’, Soil Sci. Soc. Am. J., 33(2), 192–196, 1969.
Gardner, W. R., ‘Some steady-state solutions of the unsaturated moisture flow equation with application to evaporation from a water table’, Soil Sci., 85(4), 228–232, 1958.
Miller, E. E. and R. D. Miller, ‘Physical theory for capillary flow phenomena’, J. Appl. Phys., 27(4), 324–332, 1956.
Milly, P. C. D., ‘Moisture and heat transport in hysteretic, inhomogeneous porous media: A matric head-based formulation and a numerical model’, Water Resour. Res., 18(3), 489–498, 1982.
Milly, P. C. D., ‘A simulation analysis of thermal effects on evaporation from soil’, Water Resour. Res., 20(8), 1087–1098, 1984a.
Milly, P. C. D., ‘A linear analysis of thermal effects on evaporation from soil’, Water Resour. Res., 20(8), 1075–1085, 1984b.
Milly, P. C. D., ‘An event-based simulation model of moisture and energy fluxes at a bare soil surface’, Water Resour. Res., 22(12), 1680–1692, 1986.
Milly, P. C. D. and P. S. Eagleson, ‘Infiltration and evaporation at nhomogeneous land surfaces’, Tech. Rep. 278, Dep. of Civ. Eng., Mass. Inst, of Technol., Cambridge, 1982.
Milly, P. C. D., ‘Advances in modeling of water in the unsaturated zone’, Transport in Porous Media, in press, 1988.
Nimmo, J. R. and E. E. Miller, ‘The temperature dependence of isothermal moisture versus potential characteristics of soils’, Soil Sci. Soc. Am. Proc., 50(5), 1105–1113, 1986.
Philip, J. R., ‘Numerical solution of equations of the diffusion type with diffusivity concentration-dependent’, Trans. Faraday Soc., 51. 885–892, 1955.
Philip, J. R., ‘Evaporation, and moisture and heat fields in the soil’, J. Atmos. Sci., 14(4), 354–366, 1957.
Philip, J. R., ‘Sorption and infiltration in heterogeneous media’, Aust. J. Soil Res., 5, 1–10, 1967.
Philip, J. R., ‘Absorption and infiltration in two- and three-dimensional systems’, and Discussion, in Water in the Unsaturated Zone, Vol. I, Proc. Wageningen Symp., ed. P. E. Rijtema and H. Wassink, IASH, 1968.
Philip, J. R. and D. A. de Vries, ‘Moisture movement in porous materials under temperature gradients’, EOS Trans. AGU, 38(2), 222–232, 1957.
Richards, L. A., ‘Capillary conduction of liquids through porous mediums’, Physics, 1, 318–333, 1931.
Ritchie, J. T., ‘Model for predicting evaporation from a row crop with incomplete cover’, Water Resour. Res., 8(5), 1204–1213, 1972.
Sivapalan, M. and P. C. D. Milly, ‘On the relationship between the time condensation approximation and the flux concentration relation’, J. flydrol., in press, 1988.
Warrick, A. W., ‘Time-dependent linearized infiltration, I, Point sources’, Soil Sci. Soc. Am. J., 38, 383–386, 1974.
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© 1989 Kluwer Academic Publishers
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Milly, P.C.D. (1989). Unsaturated Flow Induced by Evaporation and Transpiration. In: Morel-Seytoux, H.J. (eds) Unsaturated Flow in Hydrologic Modeling. NATO ASI Series, vol 275. Springer, Dordrecht. https://doi.org/10.1007/978-94-009-2352-2_8
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DOI: https://doi.org/10.1007/978-94-009-2352-2_8
Publisher Name: Springer, Dordrecht
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