EGU2020-22664, updated on 16 Oct 2020
https://doi.org/10.5194/egusphere-egu2020-22664
EGU General Assembly 2020
© Author(s) 2020. This work is distributed under
the Creative Commons Attribution 4.0 License.

Finite formulation for the computation of sorptivity

Pierre-Emmanuel Peyneau1, Laurent Lassabatere2, Joseph Pollacco3, Jesús Fernández-Gálvez4, Borja Latorre5, David Moret-Fernández5, Simone Di Prima6, and Rafael Angulo-Jaramillo2
Pierre-Emmanuel Peyneau et al.
  • 1GERS-LEE, Univ Gustave Eiffel, IFSTTAR, F-44344 Bouguenais, France
  • 2Univ Lyon, Université Claude Bernard Lyon 1, CNRS, ENTPE, UMR5023 LEHNA, F-69518, Vaulx-en-Velin, France
  • 3Manaaki Whenua – Landcare Research, Lincoln 7640, New Zealand
  • 4Department of Regional Geographic Analysis and Physical Geography, University of Granada, Granada 18071, Spain
  • 5Departamento de Suelo y Agua, Estación Experimental de Aula Dei, Consejo Superior de Investigaciones Científicas (CSIC), PO Box 13034, 50080 Zaragoza, Spain
  • 6Agricultural Department, University of Sassari, Viale Italia, 39, 07100 Sassari, Italy

Soil sorptivity is one of the key hydraulic parameters for modelling water infiltration into soil. It quantifies the capacity of a soil to infiltrate water by capillarity. Several formulations, based on various models, have been proposed to compute it from the water retention and the unsaturated hydraulic conductivity functions. All these formulations use the integration of the product of either the hydraulic conductivity or diffusivity function with the flux concentration function. The integration can be performed either over an interval of water pressure head or water content, yielding two equal values. However, the expression of the integral as a function of water pressure head may involve a huge or even infinite interval, which can be numerically difficult to handle. In opposite, the expression of the integral as a function of water content involves the integration of a diverging function (diffusivity) over a large interval, which is also troublesome from a numerical point of view. In this paper, we provide a new expression for sorptivity by cutting the integral in two parts, in order to involve only the integration of a finite function over a finite interval. The dependency of the integral on the flux concentration function is also investigated.

How to cite: Peyneau, P.-E., Lassabatere, L., Pollacco, J., Fernández-Gálvez, J., Latorre, B., Moret-Fernández, D., Di Prima, S., and Angulo-Jaramillo, R.: Finite formulation for the computation of sorptivity, EGU General Assembly 2020, Online, 4–8 May 2020, EGU2020-22664, https://doi.org/10.5194/egusphere-egu2020-22664, 2020

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