Skip to main content
Log in

Simulation of Gas Motion in a Reservoir–Pipeline System

  • Published:
Journal of Engineering Physics and Thermophysics Aims and scope

A model has been constructed for the process of unsteady-state gas motion in a reservoir–pipeline system. A boundary-problem of unsteady-state gas motion in a reservoir–pipeline system has been solved with account for the law of pressure change at the pipeline outlet. Pressures have been determined at the well mouth and well bottom. Analytical expressions have been obtained that make it possible to identify a change in the volume of gas production per unit of time in simultaneous connection to and gas takeoff from a transition pipeline during the motion of gases in a reservoir–pipeline system.

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. L. S. Leibenzon, Subterranean Fluid and Gas Dynamics [in Russian], Collected Papers, Vol. II, Izd. AN SSSR, Moscow (1953).

  2. É. M. Abbasov, T. S. Kengerli, and N. R. Abdullaeva, Simulation of the process of fi ltration of a gas–liquid mixture in the bed–well conjugate system, J. Eng. Phys. Thermophys., 95, No. 5, 1147–1155 (2020).

    Article  Google Scholar 

  3. É. M. Abbasov, determination of the time of accumulation of a liquid in periodic gas-lift wells, J. Eng. Phys. Thermophys., 86, No. 2, 327–335 (2013).

    Article  Google Scholar 

  4. É. M. Abbasov and Kh. A. Feizullaev, Mathematical simulation of the processes of a gas–liquid mixture′s flow in a reservoir and in a pipe with account for a dynamic relationship of a bed–well system, Zh. Vychisl. Mat. Mat. Fiz., 56, No. 1, 142–254 (2016).

    Google Scholar 

  5. A. I. Filippov, O. V. Akhmetova, and I. M. Filippov, Filtration pressure field in an inhomogeneous bed in constant drainage, J. Eng. Phys. Thermophys., 85, No. 1, 1–18 (2012).

    Article  Google Scholar 

  6. V. Sh. Shagapov and O. V. Dudareva, Nonlinear eff ects of fi ltration in transient operating regimes of wells, J. Eng. Phys. Thermophys., 89, No. 2, 291–298 (2016).

  7. Y. Zhou, Parallel General-Purpose Reservoir Simulation with Coupled Reservoir Models and Multisegment Wells. Stanford: A dissertation submitted to the department of energy resources engineering and the committee on graduate studies of Stanford University in partial fulfillment of the requirements for the degree of Doctor of Philosophy (2012).

  8. Y. Jiang, Techniques for Modeling Complex Reservoirs and Advanced Wells. Stanford: A dissertation submitted to the department of energy resources engineering and the committee on graduate studies of Stanford University in partial fulfi llment of the requirements for the degree of Doctor of Philosophy (2007).

  9. D. W. Peaceman, Interpretation of well-block pressures in numerical reservoir simulation with nonsquare grid blocks and anisotropic permeability, Presented at the SPE Symposium on Reservoir Simulation, New Orleans, January 31 - February 3, 1982.

  10. R. M. Sitdikov, D. D. Filippov, and D. A. Mitrushkin, Numerical simulation of multiphase fl ows in a conjugate "bed–well–electric centrifugal pump unit" system, Preprints Inst. Prikl. Mat. im. M. V. Keldysha, No. 59, 28 (2016).

  11. V. A. Galkin, D. A. Bykovskikh, T. V. Gavrilenko, and P. A. Stulov, Filtration method of ideal gas motion in a porous medium, Vestn. Kibern., No. 4 (24), 50–57 (2016).

    Google Scholar 

  12. G. T. Bulgakova, L. A. Kalyakin, and M. M. Khasanov, Investigation into filtration stability of a gassy fluid, Prikl. Mekh. Tekh. Fiz., 41, No. 6, 78–85 (2000).

    MATH  Google Scholar 

  13. E. V. Berveno, A. A. Kalinkin, and Yu. M. Laevskii, Filtration of a two-phase liquid in a heterogeneous medium on computers with a distributed memory, Vestn. Tomsk. Gos. Univ., Mat. Mekh., No. 4 (30), 5762 (2014).

    Google Scholar 

  14. A. I. Filippov and E. M. Devyatkin, Nonstationary temperature field in filtration of gas–liquid mixtures, Teplofiz. Vys. Temp., 39, No. 6, 962–969 (2001).

    Google Scholar 

  15. N. A. Zaitsev, B. V. Kritskii, and Yu. G. Rykov, About one two-dimensional model of calculating two-phase flows, Preprints Inst. Prikl. Mat. im. M. V. Keldysha, No. 86, 32 (2014).

  16. A. V. Akhmetzyanov, I. I. Ibragimov, and E. A. Yaroshenko, Integrated hydrodynamic models in development of oil deposits, Upravl. Bolsh. Sist., No. 29, 167–183 (2010).

    Google Scholar 

  17. I. A. Charnyi, Subterranean Hydrodynamics [in Russian], Gostoptekhizdat, Moscow (1963).

    Google Scholar 

  18. A. Kh. Mirzadzhanzade, O. L. Kuznetsov, K. S. Basniev, and Z. S. Aliev, Fundamentals of Gas Production Technology [in Russian], Nedra, Moscow (2003).

    Google Scholar 

  19. I. A. Charnyi, Unsteady Liquid Flow in Pipes [in Russian], Nedra, Moscow (1975).

    Google Scholar 

  20. M. A. Guseinzade, L. I. Druchina, O. N. Petrova, and M. F. Stepanova, Hydrodynamic Processes in Complex Pipeline Systems [in Russian], Nedra, Moscow (1991).

    Google Scholar 

  21. I. G. Aramonovich, G. L. Lunts, and É. É. Él′sgol′ts, Complex Variable Function. Operator Calculus. Stability Theory [in Russian], Nauka, Moscow (1968).

    Google Scholar 

  22. G. Doetsch, Guide to Practical Application of a Laplace Transformation [Russian translation], Nauka, Moscow (1965).

    Google Scholar 

Download references

Author information

Authors and Affiliations

Authors

Corresponding author

Correspondence to É. M. Abbasov.

Additional information

Translated from Inzhenerno-Fizicheskii Zhurnal, Vol. 95, No. 4, pp. 894–904, July–August, 2022.

Rights and permissions

Springer Nature or its licensor holds exclusive rights to this article under a publishing agreement with the author(s) or other rightsholder(s); author self-archiving of the accepted manuscript version of this article is solely governed by the terms of such publishing agreement and applicable law.

Reprints and permissions

About this article

Check for updates. Verify currency and authenticity via CrossMark

Cite this article

Abbasov, É.M., Agaeva, N.A. Simulation of Gas Motion in a Reservoir–Pipeline System. J Eng Phys Thermophy 95, 878–888 (2022). https://doi.org/10.1007/s10891-022-02557-0

Download citation

  • Received:

  • Published:

  • Issue Date:

  • DOI: https://doi.org/10.1007/s10891-022-02557-0

Keywords

Navigation