Skip to main content
Log in

Self-similar solutions of thermal two-phase filtration

  • Published:
Journal of Applied Mechanics and Technical Physics Aims and scope

Abstract

This work is concerned with deriving generalized self-similar solutions for a thermal model of two-phase filtration in porous media.

This is a preview of subscription content, log in via an institution to check access.

Access this article

Price excludes VAT (USA)
Tax calculation will be finalised during checkout.

Instant access to the full article PDF.

Similar content being viewed by others

References

  1. O. B. Bocharov and V. N. Monakhov, “Boundary-value problems of nonisothermal two-phase filtration in porous media,” in:Dynamics of Continuous Media (collected scientific papers) [in Russian], Novosibirsk,86 (1988), pp. 47–59.

  2. O. B. Bocharov and V. N. Monakhov, “Nonisothermal filtration of immiscible liquids with variable residual saturations,” in:Dynamics of Continuous Media (collected scientific papers) [in Russian], Novosibirsk,88 (1988), pp. 3–12.

  3. S. N. Antontsev A. V. Kazhikhov, and V. N. Monakhov, “Boundary-value problems in mechanics of inhomogeneous fluids,”Stud. Math. Appl.,22 (1990).

  4. N. V. Khusnutdinova, “On the behavior of solutions of the Stefan problem with unlimited increase in time,” in:Dynamics of Continuous Media (collected scientific papers) [in Russian], Novosibirsk,2 (1969), pp. 168–178.

  5. A. V. Kazhikhov, “Some self-similar problems of unsteady filtration and their numerical solution,” in:Dynamics of Continuous Media (collected scientific papers) [in Russian], Novosibirsk,3 (1969), pp. 33–49.

  6. F. Hartman,Ordinary Differential Equations, John Wiley and Sons, New York-London-Sydney (1964).

    Google Scholar 

  7. A. M. Il’in and O. A. Oleinik, “Asymptotic behavior of solutions of the Cauchy problem for some quasilinear equations for large times,”Mat. Sb.,51, No. 2, 191–216 (1960).

    MathSciNet  Google Scholar 

  8. B. T. Zhumagulov, N. V. Zubov, V. N. Monkahov and Sh. S. Smagulov,New Computer Technologies in Oil Production [in Russian], Nauka (Gylym), Alma-Ata (1996).

    Google Scholar 

  9. O. B. Bocharov, V. N. Monakhov, and A. E. Osokin, “Numerical and analytical methods of studying thermal two-phase filtration problems” in:Mathematical Models of Filtration and Their Applications (collected scientific paper) [in Russian] (1999), pp. 46–59.

Download references

Authors

Additional information

Lavrent’ev Institute of Hydrodynamics, Siberian Division, Russian Academy of Sciences, Novosibirsk 630090. Translated from Prikladnaya Mekhanika i Tekhnicheskaya Fizika, Vol. 40, No. 3, pp. 9–17, May–June, 1999.

Rights and permissions

Reprints and permissions

About this article

Cite this article

Monakhov, V.N. Self-similar solutions of thermal two-phase filtration. J Appl Mech Tech Phys 40, 367–374 (1999). https://doi.org/10.1007/BF02468388

Download citation

  • Received:

  • Issue Date:

  • DOI: https://doi.org/10.1007/BF02468388

Keywords

Navigation