Advanced search
Publication Cover
Applicable Analysis
An International Journal
Volume 95, 2016 - Issue 1
Submit an article Journal homepage
111
Views
3
CrossRef citations to date
0
Altmetric
Original Articles

Asymptotic approximation for counterflow combustion in porous media

Grigori ChapiroDepartamento de Matemática, UFJF, Juiz de Fora, MG, Brazil.Correspondence[email protected]
&
Aparecido Jesuino de SouzaDepartamento de Matemática e Estatística, UFCG, Campina Grande, PB, Brazil.
Pages 63-77 | Received 31 Jul 2014, Accepted 10 Dec 2014, Published online: 07 Jan 2015

References

  • Boberg T. Thermal methods of oil recovery. An exxon monograph series. New York (NY): John Wiley & Sons; 1988.
  • Prats M. Thermal recovery. New York (NY): HL Doherty Memorial Fund of AIME, Society of Petroleum Engineers; 1985.
  • Akkutlu I, Yortsos Y. The dynamics of in-situ combustion fronts in porous media. J. Combust. Flame. 2003;134:229–247.
  • Bousaid I, Ramey H. Oxidation of crude oil in porous media. SPE J. 1968: 137–148. SPE 1937.
  • Schult D, Bayliss A, Matkowsky B. Traveling waves in natural counterflow filtration combustion and their stability. SIAM J. Appl. Math. 1998;58:806–852.
  • Souza AJ, Marchesin D, Akkutlu IY. Wave sequences for solid fuel adiabatic in-situ combustion in porous media. Comp. Appl. Math. 2006;25:27–54.
  • Chapiro G. Gas-solid combustion in insulated porous media [Doctoral thesis]. IMPA; 2009. Available from: http://www.preprint.impa.br.
  • Chapiro G, Mailybaev AA, Souza A, Marchesin D, Bruining J. Asymptotic approximation of long-time solution for low-temperature filtration combustion. Comput. Geosci. 2012;16:799–808.
  • Zeldovich YB, Barenblatt GI, Librovich VB, Makhviladze GM. The mathematical theory of combustion and explosion. New York (NY): Consultants Bureau; 1985.
  • Aldushin A, Rumanov I, Matkowsky B. Maximal energy accumulation in a superadiabatic filtration combustion wave. J. Combust. Flame. 1999;118:76–90.
  • Bruining J, Mailybaev A, Marchesin D. Filtration combustion in wet porous medium. SIAM J. Appl. Math. 2009;70:1157–1177.
  • Mailybaev A, Bruining J, Marchesin D. Recovery of light oil by medium temperature oxidation. Trans. Porous Media. 2013;97:317–343.
  • Souza AJ. Counterflow combustion in a porous medium. In: Benzoni-Gavage S, Serre D, editors. Hyperbolic problems: theory, numerics, applications. Berlin Heidelberg: Springer; 2008. p. 1005–1012.
  • Chapiro G, Marchesin D, Schecter S. Combustion waves and Riemann solutions in light porous foam. J. Hyper. Differ. Equ. 2014;11:295–328.
  • Smoller J. Shock waves and reaction-diffusion equations. 2nd ed. New York (NY): Springer-Verlag; 1994.
  • Jones C. Geometric singular perturbation theory in dynamical systems. Vol. 1609, Lecture notes in mathematics. Berlin: Springer; 1995. p. 44–118.
  • Wasow W. Asymptotic expansions for ordinary differential equations. New York (NY): Dover; 2002.

Reprints and Corporate Permissions

Please note: Selecting permissions does not provide access to the full text of the article, please see our help page How do I view content?

To request a reprint or corporate permissions for this article, please click on the relevant link below:

Order Reprints Request Corporate Permissions

Academic Permissions

Please note: Selecting permissions does not provide access to the full text of the article, please see our help page How do I view content?

Obtain permissions instantly via Rightslink by clicking on the button below:

Request Academic Permissions

If you are unable to obtain permissions via Rightslink, please complete and submit this Permissions form. For more information, please visit our Permissions help page.

Related research

People also read lists articles that other readers of this article have read.

Recommended articles lists articles that we recommend and is powered by our AI driven recommendation engine.

Cited by lists all citing articles based on Crossref citations.
Articles with the Crossref icon will open in a new tab.