The Mathematical Intelligencer

, Volume 38, Issue 2, pp 10–13 | Cite as

Dogma: S-shaped

Ode to Ônibus 409


Unable to display preview. Download preview PDF.

Unable to display preview. Download preview PDF.


  1. 1.
    A. V. Azevedo, A. de Souza, F. Furtado, D. Marchesin, and B. Plohr (2010) “The solution by the wave curve method of three-phase flow in virgin reservoirs,” Transp. Porous Media 83: 99–125.Google Scholar
  2. 2.
    S. E. Buckley and M. C. Leverett (1942) “Mechanism of fluid displacements in sands,” Transactions of the AIME 146: 107–116.Google Scholar
  3. 3.
    J. Bruining (2007) Multiphase Flow in Porous Media. TU-Delft, Lecture notes. (94 pages.)Google Scholar
  4. 4.
    P. Castañeda, F. Furtado, and D. Marchesin (2013) “The convex permeability three-phase flow in reservoirs.” IMPA Preprint Série E - 34: 1–35.Google Scholar
  5. 5.
    P. Castañeda, E. Abreu, F. Furtado, and D. Marchesin “On a universal structure for immiscible three-phase flow in virgin reservoirs.” (Submitted.)Google Scholar
  6. 6.
    O. A. Olei˘nik (1957) “Discontinuous solutions of non-linear differential equations,” Uspekhi Mat. Nauk 12: 3–73; English translation: AMS Transl. (1963) 26(2): 95–172.Google Scholar
  7. 7.
    M. Shearer (1988) “Loss of strict hyperbolicity of the Buckley-Leverett equations in three-phase flow in a porous medium”, Numerical Simulation in Oil Recovery IMA Vol. Math. Appl. 11: 263–283.Google Scholar
  8. 8.
    A. Spivak, H.S. Price, and A. Settari (1977) “Solution of the equations for multidimensional, two-phase, immiscible flow by variational methods,” Soc. Pet. Eng. J. 17: 27–41.Google Scholar
  9. 9.
    H. Wahanik, A. A. Eftekhari, J. Bruining, D. Marchesin, and K. H. Wolf (2010) “Analytical solutions for mixed CO2-water injection in geothermal reservoirs,” CSUG/SPE 138154.Google Scholar

Copyright information

© Springer Science+Business Media New York 2016

Authors and Affiliations

  1. 1.Instituto Tecnológico Autónomo de MéxicoMéxicoMéxico

Personalised recommendations