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Modeling an Aquifer: Numerical Solution to the Groundwater Flow Equation

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  • V. Vázquez-Báez
  • A. Rubio-Arellano
  • D. García-Toral
  • I. Rodríguez Mora

Abstract

We present a model of groundwater dynamics under stationary flow and, governed by Darcy’s law of water motion through porous media, we apply it to study a 2D aquifer with water table of constant slope comprised of a homogeneous and isotropic media; the more realistic case of an homogeneous anisotropic soil is also considered. Taking into account some geophysical parameters we develop a computational routine, in the Finite Difference Method, which solves the resulting elliptic partial equation, both in a homogeneous isotropic and in a homogeneous anisotropic media. After calibration of the numerical model, this routine is used to begin a study of the Ayamonte-Huelva aquifer in Spain, a modest analysis of the system is given, and we compute the average discharge vector as well as its root mean square as a first predictive approximation of the flux in this system, providing us a signal of the location of best exploitation; long term goal is to develop a complete computational tool for the analysis of groundwater dynamics.

Suggested Citation

  • V. Vázquez-Báez & A. Rubio-Arellano & D. García-Toral & I. Rodríguez Mora, 2019. "Modeling an Aquifer: Numerical Solution to the Groundwater Flow Equation," Mathematical Problems in Engineering, Hindawi, vol. 2019, pages 1-9, January.
    • Handle: RePEc:hin:jnlmpe:1613726
    DOI: 10.1155/2019/1613726
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