Revealing patterns in the influence of variable permeability of well bottomhole zones on the operational modes of underground gas storage facilities

Authors

DOI:

https://doi.org/10.15587/1729-4061.2023.292435

Keywords:

underground gas storage facility, filtration resistance, Darcy’s law, skin factor, Forchheimer coefficient

Abstract

The object of this study is underground gas storage facilities (UGSF). The main problem being solved is to ensure effective management of the operation process of underground gas storage facilities (UGSF) at operational and forecast time intervals. One of the main factors that affect the operating modes of UGSF is significantly non-stationary filtration processes that take place in the bottomhole zones of wells. The complexity of assessing the multifactorial impact on depression/repression around the wells affects both the speed and accuracy of calculating the mode parameters of UGSF operation. Analysis of the results of well studies revealed a significant area of uncertainty in the calculation of the filtration resistance coefficients of their bottomhole zones. A satisfactory accuracy of the result in the expected time was achieved by building a model of integrated consideration of the influence of the parameters of all the bottomhole zones of the wells on the mode of UGSF operation. It turned out that the integrated consideration of the impact on the parameters of the bottomhole zones of the wells neutralized the effect of significant changes in the filtration resistance coefficients of the wells and ensured a sufficient speed of calculation of UGSF operation modes. Simultaneous simulation of ten operating UGSFs under the peak mode of withdrawal the entire available volume of active gas takes no more than six minutes. The speed of simulation of filtration processes in the bottomhole zones of wells ensured finding the best of them according to one or another criterion of operation mode quality.

As a result of the research, a model was built and implemented by software, which was tested under real operating conditions and provides optimal planning of UGSF operating modes for given time intervals. Its use is an effective tool for the operational calculation of current modes and technical capacity of UGSF for a given pressure distribution in the system of main gas pipelines. The performance of the constructed mathematical methods has been confirmed by the results of numerical experiments

Author Biographies

Myroslav Prytula, Branch "Research and Design Institute of Gas Transport" PJSC "Ukrtransgaz"

PhD, Senior Engineer

Department of Development of Systems for Optimal Planning and Forecasting of Underground Gas Storage Operation Modes

Nazar Prytula, Branch "Research and Design Institute of Gas Transport" PJSC "Ukrtransgaz"

Doctor of Technical Sciences, Head of Department

Department of Development of Systems for Optimal Planning and Forecasting of Underground Gas Storage Operation Modes

Yaroslav Pyanylo, Pidstryhach Institute for Applied Problems of Mechanics and Mathematics of the National Academy of Sciences of Ukraine

Doctor of Technical Sciences, Senior Researcher

Department of Mathematical Modeling of Transfer Processes in Complex Systems

Zoia Prytula, Pidstryhach Institute for Applied Problems of Mechanics and Mathematics of the National Academy of Sciences of Ukraine

PhD, Researcher

Laboratory of Mathematical Problems of the Mechanics of Inhomogeneous Bodies

Olga Khymko, Lviv Polytechnic National University

Doctor of Technical Sciences, Associate Professor

Department of Automation and Computer-Integrated Technologies

References

  1. Aris, R. (1990). Vectors, tensors and the basic equations of fluid mechanics. Courier Corporation, 286.
  2. Wang, C. Y. (1991). Exact Solutions of the Steady-State Navier-Stokes Equations. Annual Review of Fluid Mechanics, 23 (1), 159–177. doi: https://doi.org/10.1146/annurev.fl.23.010191.001111
  3. Sutera, S. P., Skalak, R. (1993). The History of Poiseuille’s Law. Annual Review of Fluid Mechanics, 25 (1), 1–20. doi: https://doi.org/10.1146/annurev.fl.25.010193.000245
  4. Whitaker, S. (1986). Flow in porous media I: A theoretical derivation of Darcy’s law. Transport in Porous Media, 1 (1), 3–25. doi: https://doi.org/10.1007/bf01036523
  5. Kondrat, R. М., Khaidarova, L. І. (2019). The Influence of the Characteristics of the Gas Reservoirs Perforation-Entering on the Well Production Capabilities. Prospecting and Development of Oil and Gas Fields, 4 (73), 46–53. doi: https://doi.org/10.31471/1993-9973-2019-4(73)-46-53
  6. Kondrat, R. M., Shchepanskyi, M. I., Khaidarova, L. I. (2020). The influence of contamination of the bottom-hole formation zone and the of perforation channels parameters on the productivity of gas wells. Prospecting and Development of Oil and Gas Fields, 3 (76), 23–32. doi: https://doi.org/10.31471/1993-9973-2020-3(76)-23-32
  7. Kalantariasl, A., Farhadi, I., Farzani, S., Keshavarz, A. (2022). A new comprehensive dimensionless inflow performance relationship for gas wells. Journal of Petroleum Exploration and Production Technology, 12 (8), 2257–2269. doi: https://doi.org/10.1007/s13202-022-01457-6
  8. Elsanoose, A., Abobaker, E., Khan, F., Rahman, M. A., Aborig, A., Butt, S. D. (2022). Characterization of a Non-Darcy Flow and Development of New Correlation of NON-Darcy Coefficient. Energies, 15 (20), 7616. doi: https://doi.org/10.3390/en15207616
  9. Zhang, S., Liu, H., Wang, Y., Sun, K., Guo, Y. (2021). A Novel Mathematical Model Considering Real Gas PVT Behavior to Estimate Inflow Performance Relationship of Gas Well Production. Energies, 14 (12), 3594. doi: https://doi.org/10.3390/en14123594
  10. Elsanoose, A., Abobaker, E., Khan, F., Rahman, M. A., Aborig, A., Butt, S. D. (2022). Estimating of Non-Darcy Flow Coefficient in Artificial Porous Media. Energies, 15 (3), 1197. doi: https://doi.org/10.3390/en15031197
  11. Prytula, N., Prytula, M., Boyko, R. (2017). Mathematical modeling of operating modes of underground gas storage facilities. Technology Audit and Production Reserves, 4 (1 (36)), 35–42. doi: https://doi.org/10.15587/2312-8372.2017.109084
  12. Iwaszczuk, N., Prytula, M., Prytula, N., Pyanylo, Y., Iwaszczuk, A. (2022). Modeling of Gas Flows in Underground Gas Storage Facilities. Energies, 15 (19), 7216. doi: https://doi.org/10.3390/en15197216
  13. Prytula, M., Prytula, N., Pyanylo, Y., Prytula, Z., Khymko, O. (2022). Planning optimal operating modes of underground gas storage facilities as part of the gas transmission system. Eastern-European Journal of Enterprise Technologies, 3 (2 (117)), 76–91. doi: https://doi.org/10.15587/1729-4061.2022.258953
  14. Prytula, N., Prytula, M., Boyko, R. (2017). Development of software for analysis and optimization of operating modes of underground gas stores. Technology Audit and Production Reserves, 2 (3 (40)), 17–25. doi: https://doi.org/10.15587/2312-8372.2018.128574
  15. Khymko, O., Prytula, M., Prytula, N., Prytula, Z. (2022). Methods of Optimal Development and Modernization of Existing Distribution Networks for Gas-Hydrogen Mixtures. Proceedings of EcoComfort 2022, 150–161. doi: https://doi.org/10.1007/978-3-031-14141-6_15
  16. Bejan, A. (2013). Convection Heat Transfer. John Wiley & Sons. doi: https://doi.org/10.1002/9781118671627
  17. Barree, R. D., Conway, M. W. (2004). Beyond Beta Factors: A Complete Model for Darcy, Forchheimer, and Trans-Forchheimer Flow in Porous Media. All Days. doi: https://doi.org/10.2118/89325-ms
  18. Aziz, K. (1979). Petroleum reservoir simulation. Applied Science Publishers, 476.
  19. Agwu, O. E., Okoro, E. E., Sanni, S. E. (2022). Modelling oil and gas flow rate through chokes: A critical review of extant models. Journal of Petroleum Science and Engineering, 208, 109775. doi: https://doi.org/10.1016/j.petrol.2021.109775
  20. Er-hu, L., Yang-yang, L., Li-jun, G., De-sheng, Z., Xiong, L., Jin-ze, X. (2021). On the One-Point Model for the Productivity Evaluation in Jingbian Sector of Yan’an Gas Field. Frontiers in Earth Science, 9. doi: https://doi.org/10.3389/feart.2021.793293
  21. Luke, Y. L. (Ed.) (1969). The Special Functions and Their Approximations. Academic Press.
  22. Watson, G. N. (1922). A treatise on the theory of Bessel functions. Vol. 2. The University Press.
Revealing patterns in the influence of variable permeability of well bottomhole zones on the operational modes of underground gas storage facilities

Downloads

Published

2023-12-14

How to Cite

Prytula, M., Prytula, N., Pyanylo, Y., Prytula, Z., & Khymko, O. (2023). Revealing patterns in the influence of variable permeability of well bottomhole zones on the operational modes of underground gas storage facilities. Eastern-European Journal of Enterprise Technologies, 6(1 (126), 98–112. https://doi.org/10.15587/1729-4061.2023.292435

Issue

Section

Engineering technological systems