Methodology for filtering data on pressure drop in a gas well

About the authors:

Eduard I. Narygin, Chief Specialist, Department of Geology and Field Development of the East of the Yamalo-Nenets Autonomous District, Tyumen Petroleum Research Center, Tyumen, Russia; einarygin@tnnc.rosneft.ru, https://orcid.org/0000-0003-0296-2038
Ivan P. Goncharov, Specialist, Department of Geology and Field Development of the East of the Yamalo-Nenets Autonomous District, Tyumen Petroleum Research Center, Tyumen, Russia; IP_Goncharov@tnnc.rosneft.ru

Abstract:

The article discusses the problem of analyzing filtering data on pressure drop in gas wellbores. A dimensionless parameter is proposed, which includes the results of gas dynamic studies of wells and is obtained on the basis of the Adamov formula. When using the parameter, the conditioned measurements are arranged in a quadratic dependence on the gas flow rate under standard conditions. The technique is applicable for wells with complex geometries, with pressure measurements obtained at different depths and in the presence of liquid in the flow.

Based on computational experiments and the existing error of measuring instruments, a confidence band has been determined. The width of the band does not depend on the gas flow rate. If the measurement falls outside the confidence band, it is considered substandard.

A comparison of the results of the methodology based on both synthetic and real data is carried out. The technique has shown a high quality of identifying substandard measurements, even if their proportion is significant.

The technique has made it possible to reduce the time required to prepare pressure loss data for the gas wellbore.

References:

Adamov, G. A. (1951). Movement of real gases through vertical pipes at high pressures. In Proceedings of VNIIGAZ “Issues of Extraction, Transport and Processing of Natural Gases”. Gostoptekhizdat. Pp. 30–68. [In Russian]

Aliev, Z. S., Abramov, E. S., Andreev, S. A., et al. (1980). Instructions for the Comprehensive Study of Gas and Gas Condensate Reservoirs and Wells. Nedra. [In Russian]

Asalkhuzina, G. F., Davletbaev, A. Ya., Khabibullin, I. L., & Akhmetova, R. R. (2020). On the selection of suitable operate durations for injection tests in low permeability reservoirs. Tyumen State University Herald. Physical and Mathematical Modeling. Oil, Gas, Energy, 6(1), 135–149. https://doi.org/10.21684/2411-7978-2020-6-1-135-149 [In Russian]

Bosov, A. V., & Uryupin, I. V. (2025). A modified extended Kalman filter by the linear pseudomeasurement method. Informatics and Applications, 19(2), 17–26. [In Russian]

Brill, J. P., & Mukherjee, H. (2006). Multiphase Flow in Wells. Transl. from English by Yu. V. Russkikh, ed. by M. N. Kravchenko. Institute of Computer Research. [In Russian]

Buzinov, S. N., et al. (2011). Calculation of pressure losses in gas wells at a late stage of field development. Gas Industry, 12, 18–21. [In Russian]

Zanin, A. S., & Bushmeleva, K. I. (2017). Automation of telemetry verification process of the electric power industry dispatching center. Proceedings in Cybernetics, 4(28), 139–145. [In Russian]

Izyumchenko, D. V., Nikolaev, O. V., Shulepin, S. A. (2013). Gas-liquid flows in vertical pipes: paradoxes of hydrodynamics. Vesti gazovoi nauki = Proceedings of the Gas Industry, 4(15), 36–45. [In Russian]

Kovalenko, I. V. (2023). Hydrodynamic simulation of horizontal wells by multi-stage hydraulic fracturing of a formation taking into account pressure losses due to streamline convergence. Oilfield Engineering, 2(650), 26–28. https://doi.org/10.33285/0207-2351-2023-2(650)-26-28 [In Russian]

Kozlov, V. V., Haritonov, A. N., & Strekalov, A. V. (2023). Methodology for verifying the reliability of telemetry data from gas and gas condensate fields. Natural and Technical Sciences, 12(187), 282–288. [In Russian]

Komarov, P. V., & Potekhin, D. S. (2024). Investigation of a dynamically changing signal using wavelet transformations. Computational Nanotechnology, 11(3), 34–42. [In Russian]

Lyutikova, L. A., & Shogenov, M. A. (2019). Outliers detection method for data based on multi-valued predicate logic. News of the Kabardino-Balkarian Scientific Center of the RAS, 6(92), 67–74. https://doi.org/10.35330/1991-6639-2019-6-92-67-74 [In Russian]]

Mitin, G. V., & Panov, A. V. Modification of DBSCAN algorithm using hybrid methods for clusters border detection to process streaming data. IT-Standard, 4, 36–57. [In Russian]

Nikolaev, O. V., & Sokolov, V. A. (2016). Methodology for calculating the technological parameters of vertical gas wells, the products of which contain liquid. Vesti gazovoi nauki = Proceedings of the Gas Industry, 2(26), 84–90. [In Russian]

Tolpaev, V. A., et al. (2016). Mathematical models of pressure numerical calculation at the bottom area of an operating well. Automation, Telemechanization and Communication in Oil Industry, 10, 27–31. [In Russian]

Chiglinceva, A. S., Ovchinnikov, M. V., & Yamalov, I. R. (2023). Approbation of methods for recalculating pressure along the trunk of a gas well the production of which contains liquid in the “RN-VEGA” software. Part 1. Exposition Oil Gas, 7, 55–60. [In Russian]

Shengeliya, D. Yu., & Zaharova, I. G. (2024). Analysis of the spread characteristics in the data of hydrodynamic studies of wells of complex design. In Proceedings of the All-Russian Conference of Young Scientists “Mathematical and Information Modeling”. Vol. 22. Pp. 9–15. UTMN-Press. [In Russian]

Shengeliya, D. Yu., Kovalenko, I. V., & Zakharova, I. G. (2024). Comparative analysis of filtering methods for measurement data from complex well configurations. Tyumen State University Herald. Physical and Mathematical Modeling. Oil, Gas, Energy, 10(2), 104–120. https://doi.org/10.21684/2411-7978-2024-10-2-104-120

Campello, R. J. G. B., Moulavi, D., & Sander, J. (2013). Density-based clustering based on hierarchical density estimates. In Pacific-Asia Conference on Knowledge Discovery and Data Mining (pp. 160–172). Springer Berlin-Heidelberg.

Colebrook, C. F., et al. (1939). Correspondence. Turbulent flow in pipes, with particular reference to the transition region between the smooth and rough pipe laws (includes plates). Journal of the Institution of Civil Engineers, 12(8), 393–422.

Grossmann, A., & Morlet, J. (1984). Decomposition of Hardy functions into square integrable wavelets of constant shape. SIAM journal on Mathematical Analysis, 15(4), 723–736.

Kalman, R. E. (1960). A new approach to linear filtering and prediction problems. Transactions of the ASME — Journal of Basic Engineering, 82(D), 35–45.

Mukherjee, H., Brill, J. P. (1985). Pressure drop correlations for inclined two-phase flow. Journal of Energy Resources Technology, 107, 549–554.

Sun, J., & Loader, C. R. (1994). Simultaneous confidence bands for linear regression and smoothing. The Annals of Statistics, 22(3), 1328–1345.

Theil, H. (1950). A rank-invariant method of linear and polynomial regression analysis. Indagationes Mathematicae, 12(85), 173.