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Modeling and numerical simulation of the Richards equation for infiltration problems
Authors: Iván Cristian Naula Reina, Guillermo Alexis Albuja Proaño, René Alfonso Carrillo Flores, Carlos Fabián Izurieta Cabrera
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One of the most important natural resources we have is the soil and it is of great interest to the society to take care of them and not to pollute it. In the study of this issue, we are going to consider one of the most common forms of soil contamination due to an infiltration process. It is therefore that it is essential to address study and clearly understand this process by developing a mathematician model, which will be a representation of this physicist phenomenon. Then design and implement a computer program that simulates the infiltration of liquid pollutants in a given area. In this paper we will develop a mathematical model for two-dimensional infiltration in the saturated zone of porous media, based on the equation in nonlinear partial differential Richards Also, It will present a numerical solution through finite element method and first order This paper shows the computational implementation using a simulator that presents graphically the process of pollution afflicting the ground, exposed to certain pollutants, such as the oil spill in regions of eastern Ecuador, wastewater near industrial complexes, among others, over a certain period of time. Finally, this paper will allow for remedial studies in the case are already contaminated soils or preventive areas established as hazardous.