Features of the thermal and hydrodynamic fields propagation in a layered inhomogeneous reservoir and their application in heat and mass transfer problems

About the authors:

Ivan V. Vydysh,

Postgraduate Student, Department of Modeling of Physical Processes and Systems, School of Natural Sciences, University of Tyumen, Tyumen, Russia

vydysh3d@gmail.com

Konstantin M. Fedorov, Dr. Sci. (Phys.-Math.), Professor, Professor of the Department of Modeling of Physical Processes and Systems, School of Natural Sciences, University of Tyumen, Tyumen, Russia; k.m.fedorov@utmn.ru, https://orcid.org/0000-0003-0347-3930

Abstract:

The main problem of oil reservoir development is their layered heterogeneity. Flooding of such a reservoir leads to an early breakthrough of water through highly permeable layers and to an increase in waterlogging of the extracted products. To prevent such problem, technologies for leveling the pickup profile or flow-deflecting technologies based on pumping sedimentary gel-forming compositions into an injection well are used, which, under the influence of reservoir conditions, form barriers with reduced permeability in the bottom hole or inter-well zone of the formation. Mathematical models based on the equations of continuity, momentum, and heat influx are used to predict the use of such technologies. However, for many problems of heat and mass transfer, only rough predictions of the structure of the thermal field and estimates of the probability of certain thermal processes in the reservoir are sufficient. Therefore, the purpose of this paper is to study the features of the thermal and hydrodynamic fields propagation in a layered inhomogeneous reservoir and their application in heat and mass transfer problems. As a characteristic of field heterogeneity in a layered inhomogeneous medium, a dimensionless criterion is introduced that shows how many times the radial velocity in a given field is greater than the vertical velocity. The study of the values of the heterogeneity criteria for thermal and hydrodynamic fields has shown that the hydrodynamic field is more heterogeneous than the temperature field. The performed estimates have shown that in a layered heterogeneous formation, it is necessary to take into account the heterogeneity of the vertical flow of liquids, while the thermal field aligns quickly enough in this direction and for practical forecasts and estimates it can be considered homogeneous vertically despite the layered nature of the formation.

References:

Altunina, L. K., & Kuvshinov, V. A. (2013). Increased oil recovery of fields at a late stage of development by physico-chemical methods. Neft. Gaz. Novacii = Oil. Gas. Innovations, 8, 18–25. [In Russian]

Valiullin, R. A., Sharafutdinov, R. F., Gafurov, A. I., & Fedotov, V. Ya. (2017). Investigation of thermohydrodynamic processes based on a porous medium model. Vestnik Baschkirskogo universiteta = Bashkir State University Herald, 22(2), 340–345. [In Russian]

Vydysh, I. V., Fedorov, K. M., & Shevelev, A. P. (2023). Prediction of the temperature distribution in the reservoir when oil is displaced by a fluid with a temperature different from the reservoir. Tyumen State University Herald. Physical and Mathematical Modeling. Oil, Gas, Energy, 9(2), 6–22. https://doi.org/10.21684/2411-7978-2023-9-2-6-22 [In Russian]

Grachev, S. I., Zemtsov, Yu. V., Mazaev, V. V., & Gracheva, S. K. (2021). Regulation of oil field development by physico-chemical methods of increasing oil recovery. TIU. 89 p. [In Russian]

Zheltov, Yu. V., Ryzhik, V. M., Bernadiev, M. G., & Vasil'kov, A. G. (1976). Scheme for calculating the parameters of thermal action in fractured-porous formations. Oil Industry, 5, 31–34. [In Russian]

Zemtsov, Yu. V., & Mazaev, V. V. (2021). The current state of physico-chemical methods of increasing oil recovery (literary and patent review). Publishing Solutions. 239 p. [In Russian]

Malofeev, G. E., & Kennavi, F. A. (1978). On the coefficient of heat transfer from the coolant to fractured formation blocks. Izvestiya vuzov. Neftʹ i gaz = Oil and Gas Studies, 1, 29–35. [In Russian]

Stromberg, A. G. (1999). Physical Chemistry. Higher school. [In Russian]

Fedorov, K. M., Vydysh, I. V., Morozovskiy, N. A., Toropov, K. V., Anurev, D. A., & Emelyanov, A. N. (2022). A general approach to modeling technologies for leveling the pickup profile of injection wells. PROneftʹ. Professionalʹno o nefti = Proneft. Professionally about oil, 7(3), 84–95. https://doi.org/10.51890/2587-7399-2022-7-3-84-95 [In Russian]

Fedorov, K. M., Shevelev, A. P., Vydysh, I. V., Anurev, D. A., Morozovskiy, N. A., & Toropov, K. V. (2022). Methodology for assessing and predicting the reaction of producing wells to the treatment of injection wells using the technology of leveling the pickup profile. Oil Industry, 1187, 106–110. https://doi.org/10.24887/0028-2448-2022-9-106-110 [In Russian]

Khisamov R. S., Gazizov A. A., & Gazizov A. Sh. (2002). Fundamentals of polymer suspension systems for enhanced oil recovery. Oil Industry, 83(11), 52–56. [In Russian]

Caili, D., Qing, Y., & Fulin, Z. (2010). In-depth profile control technologies in China — A review of the state of the art. Petroleum Science and Technology, 28(13), 1307–1315. https://doi.org/10.1080/10916460903419164

Ghaddab, F., Kaddour, K., Tesconi, M., Brancolini, A., Carniani, C., & Galli, G. (June, 2010). El Borma — Bright Water: A tertiary method for enhanced oil recovery for a mature field. SPE Production and Operations Conference and Exhibition, Tunis, Tunisia. https://doi.org/10.2118/136140-MS

Kabir, A. H. (October, 2001). Chemical water and gas shutoff technology – an overview. SPE Asia Pacific Improved Oil Recovery Conference, Kuala Lumpur, Malaysia. https://doi.org/10.2118/72119-MS

Lauwerier, H. A. (1955). The transport of heat in an oil layer caused by the injection of hot fluid. Applied Scientific Research, Section A, 5(2), 145–160. https://doi.org/10.1007/BF03184614

Manrique, E., Garmeh, G., Izadi, M., Salehi, M., Romero, J., Aye, N., Thomas, C., & Shevelev, P. (October, 2012). In-depth sweep efficiency improvement: screening criteria and engineering approach for pattern evaluation and potential field implementation. SPE Russian Oil and Gas Exploration and Production Technical Conference and Exhibition, Moscow, Russia. https://doi.org/10.2118/160749-MS

Seright, R. S., Lane, R. H., & Sydansk, R. D. (2003). A strategy for attacking excess water production. Society of Petroleum Engineers, 18(3), 158–169. https://doi.org/10.2118/84966-pa

Sydansk, R. D., & Romero-Zeron, L. (2011). Reservoir Conformance Improvement. Society of Petroleum Engineers.

Tobenna O., Robert L. (March 21–23, 2012). Simulation and economic screening of improved oil recovery methods with emphasis on injection profile control including waterflooding. Polymer flooding and a thermally activated deep diverting gel. SPE Western Regional Meeting, Bakersfield, California, USA. https://doi.org/10.2118/153740-MS

Willhite G. (1986). Waterflooding. Society of Petroleum Engineers.