Print Email Facebook Twitter Asymptotic approximation of long-time solution for low-temperature filtration combustion Title Asymptotic approximation of long-time solution for low-temperature filtration combustion Author Chapiro, G. Mallybaev, A.A. De Souza, A.J. Marchesin, D. Bruining, J. Faculty Civil Engineering and Geosciences Department Geoscience & Engineering Date 2012-03-21 Abstract There is a renewed interest in using combustion for the recovery of medium viscosity oil. We consider the combustion process when air is injected into the porous medium containing some fuel and inert gas. Commonly the reaction rate is negligible at low temperatures, hence the possibility of oxygen breakthrough. In this case, the oxygen gets in contact with the fuel in the downstream zone leading to slow reaction. We focus on the case when the reaction is active for all temperatures, but heat losses are negligible. For a combustion model that includes heat and mass balance equations, we develop a method for calculating the wave profile in the form of an asymptotic expansion and derive its zero- and first-order approximations. This wave profile appears to be different from wave profiles analyzed in other papers, where only the reaction at the highest temperatures was taken into account. The combustion wave has a long decaying tail. This tail is hard to observe in the laboratory because heat losses must be very small for the long tail to form. Numerical simulations were performed in order to validate our asymptotic formulae Subject filtration combustion · traveling wave · singular perturbation · low-temperature oxidation ·asymptotic expansions To reference this document use: http://resolver.tudelft.nl/uuid:634fae21-cb82-448b-a4c2-7740efcf804f DOI https://doi.org/10.1007/s10596-012-9288-0 Publisher Springer ISSN 1420-0597 Source http://www.springerlink.com/content/tg1rl2775m161150/ Source Computational geosciences, 16 (3), 2012 Part of collection Institutional Repository Document type journal article Rights (c)2012 The Authors, Springer-Verlag Files PDF 2012-79Chapiro.pdf 433.27 KB Close viewer /islandora/object/uuid:634fae21-cb82-448b-a4c2-7740efcf804f/datastream/OBJ/view