%0 Journal Article
%9 ACL : Articles dans des revues avec comité de lecture répertoriées par l'AERES
%A Lassabatere, L.
%A Peyneau, P. E.
%A Yilmaz, D.
%A Pollacco, J.
%A Fernandez-Galvez, J.
%A Latorre, B.
%A Moret-Fernandez, D.
%A Di Prima, S.
%A Rahmati, M.
%A Stewart, R. D.
%A Abou Najm, M.
%A Hammecker, Claude
%A Angulo-Jaramillo, R.
%T Mixed formulation for an easy and robust numerical computation of sorptivity
%D 2023
%L fdi:010087446
%G ENG
%J Hydrology and Earth System Sciences
%@ 1027-5606
%M ISI:000938020600001
%N 4
%P 895-915
%R 10.5194/hess-27-895-2023
%U https://www.documentation.ird.fr/hor/fdi:010087446
%> https://horizon.documentation.ird.fr/exl-doc/pleins_textes/2023-04/010087446.pdf
%V 27
%W Horizon (IRD)
%X Sorptivity is one of the most important parameters for the quantification of water infiltration into soils. proposed a specific formulation to derive sorptivity as a function of the soil water retention and hydraulic conductivity functions, as well as initial and final soil water contents. However, this formulation requires the integration of a function involving hydraulic diffusivity, which may be undefined or present numerical difficulties that cause numerical misestimations. In this study, we propose a mixed formulation that scales sorptivity and splits the integrals into two parts: the first term involves the scaled degree of saturation, while the second involves the scaled water pressure head. The new mixed formulation is shown to be robust and well-suited to any type of hydraulic function - even with infinite hydraulic diffusivity or positive air-entry water pressure heads - and any boundary condition, including infinite initial water pressure head, h -> -infinity. Lastly, we show the benefits of using the proposed formulation for modeling water into soil with analytical models that use sorptivity.
%$ 020 ; 062 ; 068