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We present a model of groundwater dynamics under stationary flow and governedby Darcy's Law of water motion through porous media, we apply it to study a 2Daquifer with water table of constant slope comprised of an homogeneous andisotropic media, the more realistic case of an homogeneous anisotropic soil isalso considered. Taking into account some geophysical parameters we develop acomputational routine, in the Finite Difference Method, that solves theresulting elliptic partial equation, both in a homogeneous isotropic andhomogeneous anisotropic media. After calibration of the numerical model, thisroutine is used to begin a study of the Ayamonte-Huelva aquifer in Spain, amodest analysis of the system is given, we compute the average discharge vectoras well as its root mean square as a first predictive approximation of the fluxin 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 ofgroundwater dynamics.

Modeling an Aquifer: Numerical Solution to the Groundwater Flow Equation