Mathematics of Enhanced Oil Recovery

  • V. M. Entov
Conference paper
Part of the The European Consortium for Mathematics in Industry book series (MATHINDUSTRY, volume 5)

Abstract

Challenge of improving efficiency of recovery of hydrocarbons, crude oil and gas, from natural petroleum reservoirs, is an important and urgent global problem facing mankind. Many branches of science and technology contribute to its solution. Nowadays, computer modeling becomes a key element of integration of all multifarious knowledge and decision-making tool. Here, an effort is made to present basic mathematical models of enhanced oil recovery and some mathematical problems emerging from their study.

Keywords

Permeability Surfactant Porosity Methane Dioxide 

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References

  1. [BER90]
    Barenblatt, G.I., Entov, V.M., Ryzhik, V.M.: Fluids Flow through Natural Rocks. Kluwer, Dordrecht (1990)Google Scholar
  2. [BB88]
    Basniev, K.S., Bedrikovetsky, P.G.: Multiphase displacement of miscible fluids in porous media. Advances in Science and Technology, Complex and Special Chapters of Mechanics, Moscow, VINITI, 3, 81–163 (1988) [in Russian]Google Scholar
  3. [BC92a]
    Bedrikovetskii, P.G., Chumak, M.L.: Exact solutions of two-phase multi-component seepage problems. Doklady Akad. Nauk SSSR, 322, 668–73 (1992)MathSciNetGoogle Scholar
  4. [BC92b]
    Bedrikovetsky, P.G., Chumak, M.L.: Riemann problem for two-phase four-and more component displacement (gas processes). Proc of 3rd European Conference on the Mathematics of Oil Recovery. Delft, The Netherlands (1992)Google Scholar
  5. [BZ91]
    Brusilovsky, A.I., Zazovsky, A.F.: A new approach to modelling of mul-ticomponent two-phase FOR processes with interphase mass exchange. SPE Paper 22638 (1991)Google Scholar
  6. [E97]
    Entov, V.M.: Nonlinear waves in physicochemical hydrodynamics of en-hanced oil recovery. Multicomponent flows. In: Proc. of the Conference “Porous Media, Physics, Models, Simulations”, Moscow, 19–21 Nov., 1997. A.N. Dmitrievsky, M.B. Panfilov, Singapore, 33–56 (2000)Google Scholar
  7. [E99]
    Entov, V.M.: Nonlinear waves in the theory of flows through porous media. Proc. Intern. Conf. “Modern Approaches to Flows through Porous Media”, Moscow, Sept. 6–8, 14–16 (1999)Google Scholar
  8. [EV00a]
    Entov, V.M., Voskov, D.V.: Effective prediction of multicomponent gas/liquid flows in petroleum reservoirs. Proc. Intern. Conf. on Multiphase Systems, ICMS’2000, Ufa, Russia, June 15–17, 401–408 (2000)Google Scholar
  9. [EV00b]
    Entov, V.M., Voskov, D.V.: On oil displacement by gas injection. In: Proc. of 7th European Conference on the Mathematics of Oil Recovery, Baveno, Italy (2000)Google Scholar
  10. [EVT02]
    Entov, V.M., Voskov, D.V., Turetskaya F.D.: On approximation of phase equilibria of multicomponent hydrocarbon mixtures and prediction of oil displacement by gas injection. In: Proc. of 8th European Conference on the Mathematics of Oil Recovery, Freiberg, Germany (2002)Google Scholar
  11. [EZ89]
    Entov, V.M., Zazovsky, A.F.: Hydrodynamics of Enhanced Oil Recovery. Moscow, “Nedra” (1989) (in Russian)Google Scholar
  12. [JOD93]
    Johns, R.T., Orr, F.M., Jr., Dindoruk, B.: Analytical theory of combined condensing/vaporising gas drives. Soc. Petr. Engrs., Advanced Technology Series, 1, 7–16 (1993)Google Scholar
  13. [L89]
    Lake, L.W.: Enhanced Oil Recovery, Englewood Cliffs, Prentice Hall (1989)Google Scholar
  14. [MSLO90]
    Monroe, W.W., Silva, M.K., Larsen, L.L., Orr, F.M.,Jr: Composition paths in four-component systems: effect of dissolved methane on 1D CO2 flood performance. Soc.Petr.Eng., Res. Eng. 5, 423–432 (1990)Google Scholar
  15. [OJD93]
    Orr, F.M. Jr., Johns, R.T., Dindoruk, B.: Development of miscibility in four-component CO2 floods. Soc. Petr. Eng., Res. Eng. 8, 135–142 (1993)Google Scholar
  16. [V02]
    Voskov, D.V.: Modeling Flow of Multicomponent Hydrocarbon Mixtures in Petroleum Reservoirs. PhD Thesis, Gubkin Russian State Oil and Gas U., Moscow (2002) (in Russian)Google Scholar
  17. [VE99]
    Voskov, D.V., Entov, V.M.: On oil displacement by gas injection: con-stant partition coefficients case. In: Proc. Intern. Conf. “Modern Approaches to Flows through Porous Media”, Moscow, Sept. 6–8, II-32-II34 (1999)Google Scholar
  18. [VE01]
    Voskov D.V., Entov, V.M.: Problem of oil displacement by gas mixtures. Fluid Dynamics, 36 (2), 269–278 (2001)MATHCrossRefGoogle Scholar
  19. [VGE01]
    Voskov, D.V., Galamai O.V., Entov V.M.: Self-similar solutions of problems of physicochemical subsurface hydromechanics. Fluid Dynamics, 36 (1), 111–120 (2001)MATHCrossRefGoogle Scholar

Copyright information

© Springer-Verlag Berlin Heidelberg 2004

Authors and Affiliations

  • V. M. Entov
    • 1
  1. 1.Institute for Problems in Mechanics of the Russian Academy of SciencesMoscowRussia

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