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Water Vapor Diffusion Through Soil as Affected by Temperature and Aggregate Size

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An Erratum to this article was published on 25 September 2008

Abstract

Water vapor diffusion through the soil is an important part in the total water flux in the unsaturated zone of arid or semiarid regions and has several significant agricultural and engineering applications because soil moisture contents near the surface are relatively low. Water vapor diffusing through dry soil is absorbed for both long and short terms. Long-term absorption allows more water to enter than exit the soil, as reflected in the concentration gradient. Short-term absorption leads to an apparent reduction in the diffusion rate, as reflected in the diffusion coefficient. This investigation studied the effects of soil temperature and porosity on the isothermal diffusion of water vapor through soil. The diffusion model consisted of 25.4 cm × 8.9 cm × 20.3 cm Plexiglas box divided into two compartments by a partition holding a soil reservoir. Water vapor moved from a container suspended by a spring in one compartment, through the porous medium in the center of the model, to calcium chloride in a container suspended by a spring in the other compartment. The porous materials consisted of aggregates of varying size (2–2.8, 1–2, and 0.5–1 mm) of a Fayatte silty clay loam (a fine-silty, mixed mesic Typic Hapludalf). The flow rates of water vapor were measured at temperatures of 10, 20, 30, and 40°C. Warmer temperatures increased the rate of diffusion through dry soil while reduced the amount of water absorbed by that soil. Reducing porosity slowed the rate of diffusion and increased the amount of water absorbed. The dry soil in this study absorbed from 1/8 to 2/3 of the diffusing water. Maximum absorption rates occurred with the most compact soil samples at the highest temperature, though the maximum absorption as a percentage of the diffusing water was in the compact samples at the lowest temperature. The diffusivity equation D/D 0 = [(S – 0.1)/0.9]2 fit the D/D 0 values obtained from these data if a coefficient of 1/3 or 1/3.5 is added to correct for the time delays caused by temporary sorption of the diffusing water vapor. The data, influenced by the interaction of water vapor and soil materials, represent a diffusion rate lower than the diffusion rate that would have resulted without this interaction.

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References

  • Ayres K.W., Button R.G., Dejong E.: Soil morphology and soil physical properties, 1. Soil aeration. Can. J. Soil Sci. 52, 311–321 (1972)

    Google Scholar 

  • Currie J.A.: Gaseous diffusion in porous media. 11. Dry granular materials. Br. J. Appl. Phys. 11, 318–324 (1960). doi:10.1088/0508-3443/11/8/303

    Article  Google Scholar 

  • Currie J.A.: Gas diffusion through soil crumbs: the effects of compaction and wetting. J. Soil Sci. 35, l–10 (1984). doi:10.1111/j.1365-2389.1984.tb00253.x

    Article  Google Scholar 

  • Crank J.: The Mathematics of Diffusion. Oxford University Press, London (1956)

    Google Scholar 

  • Fujikawa T., Miyazaki T.: Effects of bulk density and soil type on the gas diffusion coefficient in repacked and undisturbed soils. Soil Sci. 170, 892–901 (2005). doi:10.1097/01.ss.0000196771.53574.79

    Article  Google Scholar 

  • Gurr C.G., Marshall T.J., Hutton J.T.: Movement of water in soil due to a temperature gradient. Soil Sci. 74, 335–345 (1952). doi:10.1097/00010694-195211000-00001

    Article  Google Scholar 

  • Handbook of Chemistry and Physics In: D.R. Lide (ed.) 87th Edition, CRC press, N.Y

  • Jackson R.D.: Temperature and soil-water diffusivity relations. Soil Sci. Soc. Am. Proc. 27, 363–366 (1963)

    Google Scholar 

  • Jackson R.D.: Water vapor diffusion in relatively dry soil: I. Theoretical considerations and sorption experiments. Soil. Sci. Soc. Am. Proc. 28, 172–176 (1964a)

    Google Scholar 

  • Jackson R.D.: Water vapor diffusion in relatively dry soil: 111. Steady state experiments. Soil Sci. Soc. Am. Proc. 28, 467–470 (1964b)

    Google Scholar 

  • Jin Y., Jury W.A.: Characterizing the dependence of gas diffusion coefficient on soil properties. Soil Sci. Soc. Am. J. 60, 66–71 (1996)

    Google Scholar 

  • Kuzmak J.M., Sereda P.J.: The mechanism by which water moves through a porous material subjected to a temperature gradient. Introduction of a vapor gap into a saturated system. Soil Sci. 84, 291–299 (1957)

    Google Scholar 

  • Lai S.-h., Tiedje J.M., Erickson A.E.: In situ measurement of gas diffusion coefficient in soils. Soil Sci. Soc. Am. Proc. 40, 3–6 (1976)

    Google Scholar 

  • Matthes R.K., Bowen H.D.: Water vapor transfer in the soil by thermal gradients and its control. Trans. ASAE 6, 244–250 (1963)

    Google Scholar 

  • Millington R.J., Quirk J.P. et al.: Transport in porous media. In: Baren, F.A.(eds) Trans 7th Int Congr Soil Sci, vol 1., pp. 97–106. Madison, WI (1960)

    Google Scholar 

  • Milly P.C.D.: A simulation analysis of thermal effects on evaporation from soil. Water Resour. Res. 20, 1087–1098 (1984). doi:10.1029/WR020i008p01087

    Article  Google Scholar 

  • Moldrup P., Kruse C.W., Rolston D.E., Yamaguchi T.: Modeling and reaction in soils: III. Predicting gas diffusivity from the Campbell soil-retention model. Soil Sci. 161, 366–375 (1996). doi:10.1097/00010694-199606000-00003

    Article  Google Scholar 

  • Moldrup P., Olesen T., Schjonning P., Yamaguchi T., Rolston D.E.: Predicting the gas diffusion coefficient in disturbed soil from soil water characteristics. Soil Sci. Soc. Am. J. 64, 94–100 (2000)

    Google Scholar 

  • Moldrup P., Olesen T., Yoshikawa S., Komatsu T., Rolston D.E.: Three-porosity model for predicting the gas diffusion coefficient in undisturbed soil. Soil Sci. Soc. Am. J. 68, 750–759 (2004)

    Google Scholar 

  • Moldrup P., Olesen T., Yoshikawa S., Komatsu T., Rolston D.E.: Predictive–descriptive models for gas and solute diffusion in variably saturated porous media coupled to pore-size distribution: 1. Gas diffusivity in repacked soil. Soil Sci. 170, 843–853 (2005). doi:10.1097/01.ss.0000196769.51788.73

    Article  Google Scholar 

  • Onchukov D.N., Ostapchik V.P., Charny V.G.: Movement of water vapor in the soil under isothermal conditions. Sov. Soil Sci. 8, 345–351 (1972)

    Google Scholar 

  • Parlange M.B.B.B., Cahill A.T., Nielsen D.R., Hopmans J.W., Wendroth O.: Review of heat and water movement in field soils. Soil Tillage Res. 47, 5–10 (1998). doi:10.1016/S0167-1987(98)00066-X

    Article  Google Scholar 

  • Penman H.L.: Gas and vapor movement in soil, 1. The diffusion of vapors through porous solids. J. Agric. Sci. 30, 437–463 (1940)

    Google Scholar 

  • Petersen L.W., Rolston D.E., Moldrup P., Yamaguchi T.: Vlatile organic vapor diffusion and adsorption in soils. J. Environ. Qual. 23, 799–805 (1994)

    Article  Google Scholar 

  • Philip J.R., DeVries D.A.: Moisture movement in porous materials under temperature gradients. Trans. Am. Geophys. Union 38, 222–232 (1957)

    Google Scholar 

  • Pritchard D.T.: A comparison between the diffusivity of gases in soil cores and in soil aggregates. J. Soil Sci. 36, 153–162 (1985). doi:10.1111/j.1365-2389.1985.tb00320.x

    Article  Google Scholar 

  • Rollins R.L., Spangler M.G., Kirkham D.: Movement of soil moisture under a temperature gradient. Proc. Hwy. Res. Board 34, 492–508 (1954)

    Google Scholar 

  • Sallam A., Jury W.A., Letey J.: Measurement of gas diffusion coefficient under relatively low air-filled porosity. Soil Sci. Soc. Am. J. 48, 3–6 (1984)

    Google Scholar 

  • Scanlon B.R., Reedy R.C., Keese K.E., Dwyer S.F.: Evaluation of evapotranspiration covers for waste contaminant in arid and semiarid regions in southwestern USA. Vadose Zone J. 4, 55–71 (2005)

    Article  Google Scholar 

  • Spycher N.E., Sonnenthal E.L., Apps J.A.: Fluid flow and reactive transport around potential nuclear waste emplacement tunnels of Yucca Mountain, Nevada. J. Contam. Hydrol. 62(−63), 653–673 (2003). doi:10.1016/S0169-7722(02)00183-3

    Article  Google Scholar 

  • Taylor S.A.: Oxygen diffusion in porous media as a measure of soil aeration. Soil Sci. Soc. Am. Proc. 14, 55–61 (1949)

    Google Scholar 

  • Taylor S.A., Cavazza L.: The movement of soil moisture in response to temperature gradient. Soil Sci. Soc. Am. Proc. 18, 351–358 (1954)

    Google Scholar 

  • Tokunaga T.K., Waldron L.J., Nemson J.: A closed tube method for measuring gas diffusion coefficients. Soil Sci. Soc. Am. J. 52, 17–23 (1988)

    Google Scholar 

  • Troeh F.R., Jabro J.D., Kirkham D.: Gaseous diffusion equations for porous materials. Geoderma 27, 239–253 (1982). doi:10.1016/0016-7061(82)90033-7

    Article  Google Scholar 

  • Wuest S.B., Albrecht S.L., Skirvin K.W.: Vapor transport vs. seed-soil contact in wheat germination. Agron. J. 91, 783–787 (1999)

    Google Scholar 

Download references

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Correspondence to Jay D. Jabro.

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Mention of trade names, proprietary products, or specific equipment is intended for reader information only and does not constitute a guarantee or warranty by the USDA-ARS nor does it imply approval of the product named to the exclusion of other products.

An erratum to this article can be found at http://dx.doi.org/10.1007/s11242-008-9282-0

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Jabro, J.D. Water Vapor Diffusion Through Soil as Affected by Temperature and Aggregate Size. Transp Porous Med 77, 417–428 (2009). https://doi.org/10.1007/s11242-008-9267-z

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