Analytical Solution of Vertically Integrated Equations of a Confined Aquifer in two-dimension using Finite Volume method

Authors

  • Cordy Jourvel Itoua-Tsele Marien NGOUABI University
  • Antoine Filankembo Ouassissou

DOI:

https://doi.org/10.29020/nybg.ejpam.v16i4.4922

Keywords:

Confined aquifer,Vertically integrated, Groundwater, finite volume method

Abstract

Groundwater plays an important role in feeding many families and societies whose access to water is a huge problem for several reasons, then the mathematical model is an essential part of a hydrologist’s daily life to understand the physical phenomena. In this paper, we used Dupuit’s assumption to reduce the groundwater flow equation and integrated vertically it to obtain
the diffusivity equation in terms of the hydraulic head, further, the introduction of fundamental ideas in groundwater research, including vocabulary and mathematics will give readers the basis knowledge. Numerous numerical techniques can be recognized, the unstructured finite volume method was used to solve a transient diffusivity equation through a coastal confined aquifer. The
constructed finite volume schemes are used to study the distribution of hydraulic heads in the model domain, to determine water table fluctuations, and to predict the drawdown phenomena.

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Published

2023-10-30

Issue

Section

Nonlinear Analysis

How to Cite

Analytical Solution of Vertically Integrated Equations of a Confined Aquifer in two-dimension using Finite Volume method. (2023). European Journal of Pure and Applied Mathematics, 16(4), 2169-2186. https://doi.org/10.29020/nybg.ejpam.v16i4.4922