Analysis of solution by traveling waves for an in situ combustion model
Palavras-chave:
In situ combustion, Traveling waves, Fractional flow theoryResumo
In-situ combustion is a medium and high viscosity oil recovery technique. In this work, a mathematical
model was proposed describing the in situ combustion technique. Also, the study of the existence and uniqueness of
the solution using traveling waves is presented. Unlike previous works, we use the Ideal Gas Law and the fractional
flow theory, resulting in a more realistic model. This physical phenomenon is described by a mathematical model
composed of three partial differential balance equations: energy balance, the molar mass balance of gas, and the
molar mass balance of oil.
