Mixed formulation for an easy and robust numerical computation of sorptivity

Autor: Laurent Lassabatere, Pierre-Emmanuel Peyneau, Deniz Yilmaz, Joseph Pollacco, Jesús Fernández-Gálvez, Borja Latorre, David Moret-Fernández, Simone Di Prima, Mehdi Rahmati, Ryan D. Stewart, Majdi Abou Najm, Claude Hammecker, Rafael Angulo-Jaramillo
Přispěvatelé: Équipe 5 - Impact des Aménagements et des Polluants sur les HYdrosystèmes (IAPHY), Laboratoire d'Ecologie des Hydrosystèmes Naturels et Anthropisés (LEHNA), Université Claude Bernard Lyon 1 (UCBL), Université de Lyon-Université de Lyon-École Nationale des Travaux Publics de l'État (ENTPE)-Centre National de la Recherche Scientifique (CNRS)-Université Claude Bernard Lyon 1 (UCBL), Université de Lyon-Université de Lyon-École Nationale des Travaux Publics de l'État (ENTPE)-Centre National de la Recherche Scientifique (CNRS), Eau et Environnement (GERS-LEE ), Université Gustave Eiffel, Munzur University, Manaaki Whenua – Landcare Research [Lincoln], Universidad de Granada = University of Granada (UGR), Consejo Superior de Investigaciones Científicas [Spain] (CSIC), school of Agricultural, Forestry, Food and Environmental Sciences (SAFE), University of Basilicata, Institute of Bio- and Geosciences [Jülich] (IBG), Forschungszentrum Jülich GmbH | Centre de recherche de Juliers, Helmholtz-Gemeinschaft = Helmholtz Association-Helmholtz-Gemeinschaft = Helmholtz Association, University of Maragheh, Virginia Polytechnic Institute and State University [Blacksburg], Department of Land, Air and Water Resources, University of California [Davis] (UC Davis), University of California (UC)-University of California (UC), Laboratoire d'étude des Interactions Sol - Agrosystème - Hydrosystème (UMR LISAH), Institut de Recherche pour le Développement (IRD)-Institut National de Recherche pour l’Agriculture, l’Alimentation et l’Environnement (INRAE)-Institut Agro Montpellier, Institut national d'enseignement supérieur pour l'agriculture, l'alimentation et l'environnement (Institut Agro)-Institut national d'enseignement supérieur pour l'agriculture, l'alimentation et l'environnement (Institut Agro), This research has been supported by the Agence Nationale de la Recherche (grant no. ANR-17-CE04-010)., ANR-17-CE04-0010,INFILTRON,Dispositif INFILTRON pour une évaluation des fonctions infiltration & filtration des sols urbains dans un contexte de gestion des eaux pluviales(2017), Agence Nationale de la Recherche (France), Latorrre Garcés, Borja, Moret-Fernández, David
Jazyk: angličtina
Rok vydání: 2023
Předmět:
Zdroj: Hydrology and Earth System Sciences
Hydrology and Earth System Sciences, 2023, 27 (4), pp.895-915. ⟨10.5194/hess-27-895-2023⟩
Hydrology and earth system sciences 27(4), 895-915 (2023). doi:10.5194/hess-27-895-2023
ISSN: 1027-5606
1607-7938
DOI: 10.5194/hess-27-895-2023⟩
Popis: 21 Pags.- 8 Figs.- 2 Tabls. © Author(s) 2023. This work is distributed under the Creative Commons Attribution 4.0 License.
Sorptivity is one of the most important parameters for the quantification of water infiltration into soils. Parlange (1975) 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. Lastly, we show the benefits of using the proposed formulation for modeling water into soil with analytical models that use sorptivity.
This work was performed within the INFILTRON project supported by the French National Research Agency. This research has been supported by the Agence Nationale de la Recherche (grant no. ANR-17-CE04-010).
Databáze: OpenAIRE
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