Ondas viajantes para combustão in-situ com efeito de perdas térmicas em meios porosos

Abstract

We present a model for the injection of air into an underground porous medium that contains a solid fuel. In previous works the model was simplified and all wave sequences for the Riemann problem solution were obtained without taking into account thermal losses to the surrounding rock. In that work the first step was made to understand the effect of heat losses, which are important especially in laboratory experiments. In order to prove of the existence and uniqueness of the traveling wave solution, diffusion effects and the dependence of gas density on temperature were disregarded. We will also present numerical simulations that validate the results obtained, as well as numerical simulations for a more general system that considers diffusive terms. Furthermore, we will compare the numerical solutions for both systems and a numerical example with typical values of the parameters for a combustion model is presented.