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Estimating the sorptivity for a wide range of diffusivity dependence on water content

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Analytical approximations of the sorptivity have previously been formulated to be accurate for rapidly-varying hydraulic diffusivities. However, investigations have indicated that the diffusitivity of undisturbed field soils varies much less rapidly than that of repacked soils commonly used in laboratory studies. In fact, for certain soils, the diffusivity may decrease with increasing moisture content. In the present paper a new analytical estimate of the sorptivity is derived which retains the accuracy of earlier approximations for rapidly-varying diffusivities while remaining accurate even for constant and decreasing diffusivities.

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  1. Bear, J., 1972,Dynamics of Fluids in Porous Media, Elsevier, New York.

  2. Braddock, R., Parlange, J.-Y., and Lisle, I., 1981, Properties of the sorptivity for exponential diffusivity and application to the measurement of the soil-water diffusivity,Soil Sci. Soc. Am. J. 45, 705–709.

  3. Brutsaert, W., 1968, The adaptability of an exact solution to horizontal infiltration,Water Resour. Res. 4, 785–789.

  4. Clothier, B. E. and White, I., 1981, Measurement of sorptivity and soil water diffusivity in the field,Soil Sci. Soc. Am. J. 45, 241–245.

  5. Crank, J., 1975,The Mathematics of Diffusion, Oxford University Press.

  6. Dirksen, C., 1975, Determination of soil water diffusivity by sorptivity measurements,Soil Sci. Soc. Am. Proc. 39, 22–27.

  7. Elrick, D. E. and Robin, M. J., 1981, Estimating the sorptivity of soils,Soil Sci. 132, 127–133.

  8. Kutilek, M., 1983, Soil physical properties of saline and alkali soils, inInternational Symposium on Isotope and Radiation Techniques in Soil Physics and Irrigation Studies, IAEA-FAO, 179–190.

  9. Kutilek, M., 1984, Some thoeretical and practical aspects of infiltration in clays withD=const., inWater and Solute Movement in Heavy Clay Soils, Wageningen, ILRI, 114–128.

  10. Kutilek, M. and Valentova, J., 1986, Sorptivity approximations,Transport in Porous Media 1, 57–62.

  11. Lockington, D., Parslow, J., and Parlange, J.-Y., 1988, Integral estimates of the sorptivity,Soil Sci. Soc. Am. J. 52, 903–908.

  12. Parlange, J.-Y., 1980, Water transport in soils,Ann. Rev. Fluid Mech. 12, 77–102.

  13. Parlange, J.-Y., and Braddock, R. D., 1980, An application of Brutsaert's and optimization techniques to the nonlinear diffusion equation: the influence of tailing,Soil Sci. 129, 145–149.

  14. Parlange, J.-Y., Braddock, R. D., and Chu, B. T., 1980, First integrals of the diffusion equation; an extension of the Fujita solutions,Soil Sci. Soc. Am. J. 44, 908–911.

  15. Parslow, J. Lockington, D., and Parlange, J.-Y., 1988, A new perturbation expansion for horizontal infiltration and sorptivity estimates,Transport in Porous Media 3, 133–144.

  16. Philip, J. R., 1955, Numerical solution of equations of the diffusion type with diffusivity concentration-dependent,Trans. Faraday Soc. 51, 885–892.

  17. Reichardt, K., Nielsen, D. R., and Biggar, J. W., 1972, Scaling of horizontal infiltration into homogeneous soils,Soil Sci. Soc. Am. Proc. 36, 241–245.

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Lockington, D. Estimating the sorptivity for a wide range of diffusivity dependence on water content. Transp Porous Med 10, 95–101 (1993). https://doi.org/10.1007/BF00617513

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Key words

  • Sorptivity
  • diffusivity
  • absorption