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    ARTICLE

    Exploring Capillary Fringe Flow: Quasilinear Modeling with Kirchhoff Transforms and Gardner Model

    Rachid Karra1,*, Abdelatif Maslouhi2

    FDMP-Fluid Dynamics & Materials Processing, Vol.20, No.7, pp. 1611-1631, 2024, DOI:10.32604/fdmp.2024.048447

    Abstract Recent studies have underscored the significance of the capillary fringe in hydrological and biochemical processes. Moreover, its role in shallow waters is expected to be considerable. Traditionally, the study of groundwater flow has centered on unsaturated-saturated zones, often overlooking the impact of the capillary fringe. In this study, we introduce a steady-state two-dimensional model that integrates the capillary fringe into a 2-D numerical solution. Our novel approach employs the potential form of the Richards equation, facilitating the determination of boundaries, pressures, and velocities across different ground surface zones. We utilized a two-dimensional Freefem++ finite element model… More >

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