Revealing patterns in the influence of variable permeability of well bottomhole zones on the operational modes of underground gas storage facilities
DOI:
https://doi.org/10.15587/1729-4061.2023.292435Keywords:
underground gas storage facility, filtration resistance, Darcy’s law, skin factor, Forchheimer coefficientAbstract
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
References
- Aris, R. (1990). Vectors, tensors and the basic equations of fluid mechanics. Courier Corporation, 286.
- 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
- 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
- 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
- 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
- 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
- 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
- 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
- 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
- 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
- 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
- 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
- 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
- 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
- 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
- Bejan, A. (2013). Convection Heat Transfer. John Wiley & Sons. doi: https://doi.org/10.1002/9781118671627
- 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
- Aziz, K. (1979). Petroleum reservoir simulation. Applied Science Publishers, 476.
- 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
- 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
- Luke, Y. L. (Ed.) (1969). The Special Functions and Their Approximations. Academic Press.
- Watson, G. N. (1922). A treatise on the theory of Bessel functions. Vol. 2. The University Press.
Downloads
Published
How to Cite
Issue
Section
License
Copyright (c) 2023 Myroslav Prytula, Nazar Prytula, Yaroslav Pyanylo, Zoia Prytula, Olga Khymko
This work is licensed under a Creative Commons Attribution 4.0 International License.
The consolidation and conditions for the transfer of copyright (identification of authorship) is carried out in the License Agreement. In particular, the authors reserve the right to the authorship of their manuscript and transfer the first publication of this work to the journal under the terms of the Creative Commons CC BY license. At the same time, they have the right to conclude on their own additional agreements concerning the non-exclusive distribution of the work in the form in which it was published by this journal, but provided that the link to the first publication of the article in this journal is preserved.
A license agreement is a document in which the author warrants that he/she owns all copyright for the work (manuscript, article, etc.).
The authors, signing the License Agreement with TECHNOLOGY CENTER PC, have all rights to the further use of their work, provided that they link to our edition in which the work was published.
According to the terms of the License Agreement, the Publisher TECHNOLOGY CENTER PC does not take away your copyrights and receives permission from the authors to use and dissemination of the publication through the world's scientific resources (own electronic resources, scientometric databases, repositories, libraries, etc.).
In the absence of a signed License Agreement or in the absence of this agreement of identifiers allowing to identify the identity of the author, the editors have no right to work with the manuscript.
It is important to remember that there is another type of agreement between authors and publishers – when copyright is transferred from the authors to the publisher. In this case, the authors lose ownership of their work and may not use it in any way.