Articles | Volume 27, issue 4 
            
                
                    
            
            
            https://doi.org/10.5194/hess-27-895-2023
                    © Author(s) 2023. This work is distributed under 
the Creative Commons Attribution 4.0 License.
                the Creative Commons Attribution 4.0 License.
https://doi.org/10.5194/hess-27-895-2023
                    © Author(s) 2023. This work is distributed under 
the Creative Commons Attribution 4.0 License.
                the Creative Commons Attribution 4.0 License.
Mixed formulation for an easy and robust numerical computation of sorptivity
Laurent Lassabatere
CORRESPONDING AUTHOR
                                            
                                    
                                            Univ Lyon, Université Claude Bernard Lyon 1, CNRS, ENTPE, UMR 5023 LEHNA, 69518 Vaulx-en-Velin, France
                                        
                                    Pierre-Emmanuel Peyneau
                                            Univ Gustave Eiffel, GERS-LEE, 44344 Bouguenais, France
                                        
                                    Deniz Yilmaz
                                            Civil Engineering Department, Engineering Faculty, Munzur University, Tunceli, Türkiye
                                        
                                    Joseph Pollacco
                                            Manaaki Whenua – Landcare Research, 7640 Lincoln, New Zealand
                                        
                                    Jesús Fernández-Gálvez
                                            Department of Regional Geographic Analysis and Physical Geography, University of Granada, 18071 Granada, Spain
                                        
                                    Borja Latorre
                                            Departamento de Suelo y Agua, Estación Experimental de Aula Dei, Consejo Superior de Investigaciones Científicas (CSIC), P.O. Box 13034, 50080 Zaragoza, Spain
                                        
                                    David Moret-Fernández
                                            Departamento de Suelo y Agua, Estación Experimental de Aula Dei, Consejo Superior de Investigaciones Científicas (CSIC), P.O. Box 13034, 50080 Zaragoza, Spain
                                        
                                    Simone Di Prima
                                            School of Agricultural, Forestry, Food and Environmental Sciences (SAFE), University of Basilicata, 85100 Potenza, Italy
                                        
                                    Mehdi Rahmati
                                            Department of Soil Science and Engineering, Faculty of Agriculture, University of Maragheh, Maragheh, Iran
                                        
                                    
                                            Forschungszentrum Jülich GmbH, Institute of Bio- and Geosciences: Agrosphere (IBG-3), Jülich, Germany
                                        
                                    Ryan D. Stewart
                                            School of Plant and Environmental Sciences, Virginia Polytechnic Institute and State University,  Blacksburg, VA, United States
                                        
                                    Majdi Abou Najm
                                            Department of Land, Air and Water Resources, University of California, Davis, CA 95616, United States
                                        
                                    Claude Hammecker
                                            University of Montpellier, UMR LISAH, IRD, Montpellier, France
                                        
                                    Rafael Angulo-Jaramillo
                                            Univ Lyon, Université Claude Bernard Lyon 1, CNRS, ENTPE, UMR 5023 LEHNA, 69518 Vaulx-en-Velin, France
                                        
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                Short summary
            Sorptivity is one of the most important parameters for quantifying water infiltration into soils. In this study, we propose a mixed formulation that avoids numerical issues and allows for the computation of sorptivity for all types of models chosen for describing the soil hydraulic functions and all initial and final conditions. We show the benefits of using the mixed formulation with regard to modeling water infiltration into soils.
            Sorptivity is one of the most important parameters for quantifying water infiltration into...