Modeling the transport of water stable isotopes in unsaturated soils under natural conditions 1. Theory

Water Resources Research

Volumn 32, Issue 7, 1996, Pages 2047-2054

  Melayah, A ^a   Bruckler, L ^a   Bariac, T ^b  

^a CEMAGREF   (France)

^b SORBONNE UNIVERSITÉ   (France)

Author keywords

[No Author keywords available]

Indexed keywords

ISOTOPE; STABLE ISOTOPE; WATER;

ATMOSPHERE; CLIMATE; ENERGY BALANCE; HEAT; HEAT EXCHANGE; LIQUID; MODEL; PHYSICAL MODEL; SOIL; VAPOR; WATER VAPOR;

HEAT TRANSFER; HYDRAULICS; MODELLING; SOILS; WATER;

ISOTOPE TRANSPORT; SOIL/ATMOSPHERE BOUNDARY; STABLE ISOTOPE; UNSATURATED ZONE;

EID: 0029659815     PISSN: 00431397     EISSN: None     Source Type: Journal    
DOI: 10.1029/96WR00674     Document Type: Article

References (28)

1. Allison, G. B., C. J. Barnes, and M. W. Hughes, The distribution of deuterium and oxygen 18 in dry soils, 2, Experimental, J. Hydrol., 64, 377-397, 1983.
2. Barnes, C. J., and G. B. Allison, The distribution of deuterium and oxygen 18 in dry soils, 1, Theory, J. Hydrol., 60, 141-156, 1983.
3. Barnes, C. J., and G. B. Allison, The distribution of deuterium and oxygen 18 in dry soils, 3, Theory for non-isothermal water movement, J. Hydrol., 74, 119-135, 1984.
4. Barnes, C. J., and G. B. Allison, Tracing of water movement in the unsaturated zone using stable isotopes of hydrogen and oxygen, J. Hydrol., 100, 143-176, 1988.
5. Barnes, C. J., and G. R. Walker, The distribution of deuterium and oxygen 18 during unsteady evaporation from a dry soil, J. Hydrol., 112, 55-67, 1989.
6. Bear, J., Dynamics of Fluids in Porous Media, 764 pp., Elsevier, New York, 1972.
7. Businger, J. A., J. C. Wyngaard, Y. Izumi, and E. F. Bradley, Flux profile relationships in the atmospheric surface layer, J. Atmos. Sci., 28, 181-189, 1971.
8. Craig, H., and L. I. Gordon, Deuterium and oxygen 18 variations in the ocean and marine atmosphere, in Stable Isotopes in Oceanography Studies and Paleotemperatures, pp. 9-130, Lab. Geol. Nucl., Pisa, Italy, 1965.
9. Gvirtzman, H., and S. M. Gorelick, Dispersion and advection in unsaturated porous media enhanced by anion exclusion, Nature, 352, 793-795, 1991.
10. Harris, K. A., and L. A. Woolf, Pressure and temperature dependence of the self diffusion coefficient of water and oxygen-18 water, J. Chem. Soc. Faraday Trans. 1, 76, 377-385, 1980.
11. Higuchi, M., Numerical simulation of soil water flow during drying in a non-homogeneous soil, J. Hydrol., 71, 303-334, 1984.
12. Majoube, M. A., Fractionnement en oxygène-18 et en deutérium entre l'eau et sa vapeur, J. Chem. Phys., 68, 1423-1436, 1971.
13. 16O) à la caractérisation des mouvements de l'eau dans les sols argileux, thèse de doctorat, 272 pp., Univ. Pierre et Marie Curie, Paris, 1993.
14. Melayah, A., L. Bruckler, and T. Bariac, Modeling the transport of water stable isotopes in unsaturated soils under natural conditions, 2, Comparison with field experiments, Water Resour. Res., this issue.
15. 18O in gases, J. Chem. Phys., 69, 2864-2871, 1978.
16. Mills, R., Self diffusion in normal and heavy water in the range 1-45°C, J. Phys. Chem., 77, 685-688, 1973.
17. 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, 489-498, 1982.
18. Monin, A. S., and A. M. Obukhov, Dimensionless characteristics of turbulence in surface layer, Tr. Akad. Nauk. SSSR Geofiz. Inst., 24, 163-167, 1954.
19. Munnich, K. O., C. Sonntag, D. Christmann, and G. Thoma, Isotope fractionation due to evaporation from sand dunes, Z. Mitt. Zentralinst. Isot. Stralenforsch., 29, 319-332, 1980.
20. Musy, A., and M. Soutter, Physique du Sol, 335 pp., Presses Polytech. et Univ. Romandes, Lausanne, Switzerland, 1991.
21. Passerat de Silans, A., L. Bruckler, J. L. Thony, and M. Vauclin, Numerical modelling of coupled heat and water flows during drying in a stratified bare soil: Comparison with field observations, J. Hydrot., 105, 109-138, 1989.
22. Philip, J. R., Theory of infiltration, Adv. Hydrosci., 5, 215-296, 1969.
23. Philip, J. R., and D. A. de Vries, Moisture movement in porous materials under temperature gradients, Eos Trans. AGU, 38, 222-232, 1957.
24. Sophocleous, M., Analysis of water and heat flow in unsaturated-saturated porous media, Water Resour. Res., 15, 1195-1206, 1979.
25. Walker, G. R., M. W. Hughes, G. B. Allison, and C. J. Barnes, The movement of isotopes of water during evaporation from a bare soil surface, J. Hydrol., 97, 181-197, 1988.
26. Witono, H., and L. Bruckler, Use of remotely sensed soil moisture content as boundary conditions in soil-atmosphere water transport modeling, 1, Field validation of a water flow model, Water Resour. Res., 25, 2423-2435, 1989.
27. Zienkiewics, O. C., The Finite Element Method, McGraw-Hill, New York, 1977.
28. Zimmermann, U., D. Ehhalt, and K. O. Munnich, Soil water movement and evapotranspiration: Changes in the isotopic composition of the water, paper presented at International Atomic Energy Agency Symposium on Isotopes in Hydrology, Int. At. Energ. Agency, Vienna, 1967.