Submit

Login Login

Register Register

Home / Journals / FDMP / Online First / doi:10.32604/fdmp.2024.048447
Journal Menu
Special lssues
Table of Content

All issues

Online First

2024

2023

2022

2021

2020

2019

2018

2017

2016

2015

2014

2013

2012

2011

2010

2009

2008

2007

2006

2005

Open Access

ARTICLE

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

Rachid Karra1,*, Abdelatif Maslouhi2
1 LASTIMI Laboratory, Mohammadia School of Engineers, Mohammed V University in Rabat, Rabat, Morocco
2 LIRNE Laboratory, Faculty of Sciences, Ibn Tofail University, Kenitra, Morocco
* Corresponding Author: Rachid Karra. Email: email

Fluid Dynamics & Materials Processing https://doi.org/10.32604/fdmp.2024.048447

Received 08 December 2023; Accepted 13 March 2024; Published online 24 April 2024

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 to compute the stationary solution. The validation of the model was conducted using experimental data. We employed the OFAT (One_Factor-At-Time) method to identify the most sensitive soil parameters and understand how changes in these parameters may affect the behavior and water dynamics of the capillary fringe. The results emphasize the role of hydraulic conductivity as a key parameter influencing capillary fringe shape and dynamics. Velocity values within the capillary fringe suggest the prevalence of horizontal flow. By variation of the water table level and the incoming flow q0, we have shown the correlation between water table elevation and the upper limit of the capillary fringe.

Keywords

Capillary fringe; Freefem++; gardner model; modeling; porous media

  • 94

    View

  • 16

    Download

  • 0

    Like

Related articles
Copyright© 2024 Tech Science Press
© 1997-2024 TSP (Henderson, USA) unless otherwise stated

Share Link