Advertisement

A New Model of Movement of Liquids in Porous Medium

  • Ramiz S. QurbanovEmail author
  • Aynur J. Jabiyeva
Conference paper
Part of the Advances in Intelligent Systems and Computing book series (AISC, volume 1095)

Abstract

The study of the movement of liquids with different rheological properties in a porous medium is of practical importance in the fields of oil production, chemical technology, hydrogeology [1]. At the same time, other approaches to the description of processes are distinguished. The study of motion are described mainly on various models. In this article, to describe the motion of rheologically stationary fluids in a porous medium, we propose a model, which we call the “hypothetical channel”. In this case, the hydraulic radius and the quasi-Newtonian approach given in the work are used [5]. The essence of this approach is as follows: the movement of rheological parameters of time, foreign fluids in a porous medium are represented by the same fluid of various shapes in the channel, the hydraulic radius and shape coefficient of which are equal to the hydraulic radius and shape coefficient of the medium under consideration and at the same pressure gradients and the average velocity in the channel equal to the filtration rate in a porous medium.

Keywords

Empiric Semi-empirical approaches Rheological stationary fluids Oil production Fuzzy values Fuzzy logic-based method 

References

  1. 1.
    Leibenzon, L.S.: The Movement of Natural Liquids and Gases in a Porous Medium. Gostekhizdat, Moscow (1947)Google Scholar
  2. 2.
    Scheidegger, A.E.: Physics of Fluid Flow Through Porous Medium. Gostoptekhizdat, Moscow (1960)zbMATHGoogle Scholar
  3. 3.
    Ber, J., Zaslavsky, D., Irmey, S.: Physical and Mathematical Bases of Water Filtration. Mir, Moscow (1971)Google Scholar
  4. 4.
    Gunn, D.J., Darling, C.W.: Fluid flow. Trans. Inst. Chem. Eng. 41(4), 163–173 (1963)Google Scholar
  5. 5.
    Abdulvagabov, A.I.: The study of the modes of motion of liquids and gases in a porous medium. Cand. Diss., Azineftehim, Baku (1961)Google Scholar
  6. 6.
    Savins, J.G.: Non-newtonian flow through porous medium. Ind. Eng. Chem. 61(10), 18–47 (1969)CrossRefGoogle Scholar
  7. 7.
    Trebin, G.F.: Filtration of Liquids and Gases in Porous Medium. Gostoptehizdat, Moscow (1959)Google Scholar
  8. 8.
    Kozıcki, W., Hsu, C.J., Tiu, C.: Non-newtonian flow. Chem. Eng. Sci. 22(4), 487–502 (1967)CrossRefGoogle Scholar
  9. 9.
    Malak, J., Hejna, J., Schmid, J.: Pressure losses and heat transfer in non-circular channels with hydraulically smooth walies. Int. J. Heat Mass Transfer 18(1), 139–149 (1975)CrossRefGoogle Scholar
  10. 10.
    Mirzadzhanzade, A.K.: Problems with hydrodynamics viscoplastic and viscous liquids as applied to oil production. Azernefteshr, Baku (1959)Google Scholar
  11. 11.
    Kravchenko, I.I., Kovalenko, E.K., Genkina, B.I.: To the issue of specific surface. Tr. Phew Research Institute, vol. 17, pp. 66–73 (1967)Google Scholar
  12. 12.
    Fomenko, I.E.: On the value of the specific surface, tortuosity and the pore radius of the Romashkinskoye reservoirs. Tr. Phew Institute 17, 73–77 (1971)Google Scholar
  13. 13.
    Gurbanov, P.C., Abdınov, E.T.: On unification of rheological and hydraulic calculation. Trans. Acad. Sci. Azerb. Ser. Phys. Techn. Math. Sci. 19(5), 173–183 (1967)Google Scholar

Copyright information

© Springer Nature Switzerland AG 2020

Authors and Affiliations

  1. 1.Azerbaijan State Oil and Industry UniversityBakuAzerbaijan

Personalised recommendations