Estimation of gas losses based on the characteristic of the state of wells of dashava storage

Authors

DOI:

https://doi.org/10.15587/1729-4061.2017.116806

Keywords:

underground storage, modeling of processes, development wells, gas cross-flow, filtering process

Abstract

In the present research, it is proposed to use the methods of mathematical modeling of filtering flow taking into account a special type of boundary conditions, characteristic for underground storages, peculiarities of geometry and variable characteristics of permeability of the medium, viscosity and density of fluid.

The specified models found numerical implementation using the over-relaxation method for the Dirichlet problem with a special type of boundary conditions.

As a result of the performed calculations, it was found that regardless of the model of filtering flow and the number of zones of fluid penetration through the boundary zone, the impact of existence of these zones is tangible only in the vicinity of these zones, i. e. existence of outflows on the height of the well’s area almost does not affect parameters of the stream at the bottom of this area, the difference in the calculation results is less than 0.5 %. This makes it possible to conclude that detection of the outflow coordinate, as well as of the fact of its existence, is impossible within the Darcy and Forchheimer models

Author Biographies

Andrij Olijnyk, Ivano-Frankivsk National Technical University of Oil and Gas Karpatska str.,15, Ivano-Frankivsk, Ukraine, 76019

Doctor of Technical Sciences, Professor

Department of mathematical methods in engineering

 

Oksana Chernova, Ivano-Frankivsk National Technical University of Oil and Gas Karpatska str.,15, Ivano-Frankivsk, Ukraine, 76019

PhD, Associate Professor

Department of construction and repair of pipelines and storage facilities

References

  1. Navrotsky, B., Sukhin, E. (2004). About Natural Gas Losses. Scientific Bulletin of the National Technical University of Oil and Gas, 2 (8), 168‒171.
  2. Fedutenko, A. (1997). Planning of gas recovery regimes from UGS. Gas industry, 12, 44‒45.
  3. Tek, M. R. (Ed.) (1989). Underground Storage of Natural Gas. Springer Science & Business Media, 458. doi: 10.1007/978-94-009-0993-9
  4. Boyko, V. (2002). Underground repair of wells. Ivano-Frankivsk, 465.
  5. Bulatov, A. (2009). Detective biography of tightness of crepes of oil and gas wells. Krasnodar: Education – South, 862.
  6. Galia, P., Semchyshyn, A., Susak, А. et. al. (2004). Analysis of the efficiency of replacement of the fountain pipes of wells of the Dashavsky PSG to a larger diameter. Scientific Bulletin of the National Technical University of Oil and Gas, 2 (8), 181‒185.
  7. Shimko, R., Vecheryk, R., Khayetsky, Yu., Fedutenko, A., Shvachenko, I. (2002). Ensuring reliable functioning of the UGS Ukrtransgas. Oil and gas, 4, 40‒43.
  8. Anyadiegwu, C. I. C. (2013). Model for detection of gas loss by leakage from the gas storage reservoir. Academic Research International, 4 (3), 208–214.
  9. Rampit, I. A. (2004). About measurements emanation of soil factor. ANRT, 3, 51‒52.
  10. Report on the research work "Technological project of cyclic operation of the Dashavsky Substation" (1999). Kharkiv: UKRNDIGAZ, 282.
  11. Leibenzon, L. (1947). Movement of natural liquids and gases in a porous medium. Мoscow: Gostekhizdat, 244.
  12. Silva, E. J. G., Tirabassi, T., Vilhena, M. T., Buske, D. (2013). A puff model using a three-dimensional analytical solution for the pollutant diffusion process. Atmospheric Research, 134, 131–136. doi: 10.1016/j.atmosres.2013.07.009
  13. Semubarinova-Kochina, P. (1977). The theory of groundwater movement. Мoscow: Science, 664.
  14. Tek, M. R. (1996). Natural Gas Underground Storage Inventory and Deliverability. Pennwell Publishing, 375.
  15. Leontiev, N. (2009). Fundamentals of the theory of filtration. Мoscow: In the Applied Studies at the Faculty of Mechanics and Mathematics of Moscow State University, 88.
  16. Oliinuk, A., Panchuk, M. (1992). Mathematical modeling of nonstationary filtration for the purpose of estimating the physical and mechanical properties of soils in the pipeline. Sb. Schools XI of the Interuniversity School of Seminar "Methods and Tools for Technical Diagnostics". Ivano-Frankivsk, 137‒140.
  17. Samarsky, A. (2005). Mathematical modeling. Ideas. Methods. Examples. Мoscow: Fizmatlit, 320.
  18. Shkadov, V., Zapiryan, Z. (1984). Flows of a viscous fluid. Мoscow: Moscow Universities, 200.
  19. Sedov, P. (1983). Mechanics of complex media. Мoscow: Science, 528.
  20. Sahoo, B. K., Mayya, Y. S. (2010). Two dimensional diffusion theory of trace gas emission into soil chambers for flux measurements. Agricultural and Forest Meteorology, 150 (9), 1211–1224. doi: 10.1016/j.agrformet.2010.05.009
  21. Oliinuk, A., Steiner, L. (2012). Investigation of the effect of relaxation parameters on the convergence of the numerical method of successive upper relaxation for the Dirichlet problem. Carpathian Mathematical Publications, 4 (2), 289‒296.
  22. Young, D. (1954). Iterative methods for solving partial difference equations of elliptic type. Transactions of the American Mathematical Society, 76 (1), 92–92. doi: 10.1090/s0002-9947-1954-0059635-7
  23. Larson, R. G. (1992). Instabilities in viscoelastic flows. Rheologica Acta, 31 (3), 213–263. doi: 10.1007/bf00366504
  24. Frankel, S. P. (1950). Convergence Rates of Iterative Treatments of Partial Differential Equations. Mathematical Tables and Other Aids to Computation, 4 (30), 65. doi: 10.2307/2002770

Downloads

Published

2017-11-29

How to Cite

Olijnyk, A., & Chernova, O. (2017). Estimation of gas losses based on the characteristic of the state of wells of dashava storage. Eastern-European Journal of Enterprise Technologies, 6(8 (90), 25–32. https://doi.org/10.15587/1729-4061.2017.116806

Issue

Vol. 6 No. 8 (90) (2017): Energy-saving technologies and equipment

Section

Energy-saving technologies and equipment

License

Copyright (c) 2017 Andrij Olijnyk, Oksana Chernova

Creative Commons License

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.