Investigation of the temperature distribution in a heterogeneous reservoir during fluid filtration, taking into account thermodynamic effects

About the authors:

Malika D. Suleimanova, Postgraduate Student, Department of Geophysics, Ufa University of Science and Technology, Ufa, Russia, malika_sul@mail.ru
Ramil F. Sharafutdinov, Dr. Sci. (Phys.-Math.), Professor, Department of Geophysics, Bashkir State University (Ufa); gframil@inbox.ru

Ildar V. Kanafin, Assistant, Department of Geophysics, Bashkir State University (Ufa); vradlik@gmail.com

Abstract:

Based on the modeling of non-isothermal fluid filtration, taking into account the Joule–Thomson effect and the adiabatic effect, the formation of temperature in a porous medium with radial-angular permeability heterogeneity is studied. It is shown that the presence of heterogeneity in the near-wellbore formation zone leads to different rates of temperature establishment in the angular distribution after the well is put into operation. Depending on the ratio of the permeability of the formation and the area of heterogeneity during fluid filtration in the angular distribution of temperature in the well, either a slow rate of temperature establishment in the region of heterogeneity is observed. The area of heterogeneity is colder than the rest of the area, or vice versa, the area of heterogeneity has an increased temperature. The results obtained complement the known data on the formation of temperature fields in reservoir conditions with non-isothermal fluid filtration, taking into account thermodynamic effects, and can be used to interpret the results of multi-sensor temperature studies in wells with formations that are heterogeneous in permeability.

References:

Valiullin, R. A., & Ramazanov, A. Sh. (1992). Thermal research during compressor development of wells. Bashkir State University Publishing House. [In Russian]

Valiullin, R. A., Ramazanov, A. Sh., & Sharafutdinov, R. F. (1994). Barothermic effect in three-phase filtration with phase transitions. Izvestiya RAN. Mekhanika zhidkosti i gaza, (6), 113–117. [In Russian]

Valiullin, R. A., Ramazanov, A. Sh., & Sharafutdinov, R. F. (1995). Thermometry of multiphase flows. Bashkir State University Publishing House. [In Russian]

Valiullin, R. A., Sharafutdinov, R. F., Sadretdinov, A. A., & Bochkov, A. S. (2008). Radial angular temperature distributions for nonisothermal two-phase filtration of oil and water. Journal of Applied Mechanics and Technical Physics, 49(6), 992–997. https://doi.org/10.1007/s10808-008-0123-2 [In Russian]

Gazizov, A. A. (2002). Increased oil recovery of heterogeneous reservoirs at a late stage of develop­ment. Nedra. [In Russian]

Gimatudinov, Sh. K., & Shirkovsky, A. I. (1982). Physics of the oil and gas reservoir. Nedra. [In Russian]

Islamov, D. F., & Ramazanov, A. Sh. (2022). Investigation of nonisothermal two-dimensional filtration in multylayer reservoir. Vestnik Tomskogo gosudarstvennogo universiteta. Matematika i mekhanika, (75), 100–112. https://doi.org/10.17223/19988621/75/9 [In Russian]

Lyushin, S. F., Rasskazov, V. A., Sheikh-Ali, D. M. et al. (1961). Fight against paraffin deposits during oil production. Gostoptekhizdat. [In Russian]

Trebin, G. F., Kapyrin, Ju. F., & Limanskij, O. G. (1978). Estimation of temperature depression in the bottomhole zone of production wells. Trudy VNII, (64), 16–22. [In Russian]

Fedorov, K. M., & Sharafutdinov, R. F. (1989). On the theory of non-isothermal filtration with phase transitions. Izvestiya AN SSSR. Mekhanika zhidkosti i gaza, (5), 78–85. [In Russian]

Chekalyuk, E. B. (1965). Thermodynamics of an oil reservoir. Nedra. [In Russian]

Sharafutdinov, R. F., Bochkov, A. S., Sharipov, A. M., & Sadretdinov, A. A. (2017). Filtration of live oil in the presence of phase transitions in a porous medium with inhomogeneous permeability. Journal of Applied Mechanics and Technical Physics, 58(2), 271–274. https://doi.org/10.1134/S0021894417020109

Aslanyan, A., Aslanyan, I., Salamatin, A., Karuzinm, A., Fesina, Yu., Zaripov, I., Skutin, V., Al Ghafri, Z., Khalid Yarabi, M., & Ali Al-Maharbi, A. (2014). Numerical temperature model­ling for quantitative analysis of low-compressible fluid production. Abu Dhabi International Petroleum Exhibition and Conference (November 10–13, 2014, Abu Dhabi, UAE), 131–149, Paper SPE-172090-MS. https://doi.org/10.2118/172090-MS

Bahonar, M., Azaiez, J., & John Chen, Zh. (2011). Transient nonisothermal fully coupled wellbore/reservoir model for gas-well testing, Part 1: Modelling. Journal of Canadian Petroleum Technology, 50(9), 37–50, Paper SPE-149617-PA. https://doi.org/10.2118/
149617-PA

Durlofsky, L., & Aziz, K. (2004). Advanced techniques for reservoir simulation and modeling of nonconventional wells. Final Report. Stanford University.

Li, Z. (2010). Interpreting horizontal well flow profiles and optimizing well performance by downhole temperature and pressure data [Doctoral dissertation, Texas A&M University].

Lucia, A., Voskov, D., James, S. C., Zaydullin, R., & Henley, H. (2013). Fully compositional and thermal reservoir simulations efficiently compare EOR techniques. SPE Unconventional Resources Conference (November 5–7, 2013, Calgary, Alberta, Canada), 101–119, Paper SPE-167184-MS. https://doi.org/10.2118/167184-MS

Muradov, K. (2010). Temperature modelling and real-time flow rate allocation in wells with advanced completion [Doctoral dissertation, Heriot-Watt University].

Palabiyik, Yi., Tureyen, O. I., Onur, M., & Deniz, M. (2013). A study on pressure and temperature behaviors of geothermal wells in single-phase liquid reservoirs. Proceedings of the 38th Workshop on Geothermal Reservoir Engineering (February 11–13, 2013, Stanford, California), 83–97, Paper SGP-TR-198.

Ramazanov, A. Sh., Valiullin, R. A., Sadretdinov, A. A., Shako, V. V., Pimenov, V. P., Fedo­rov, V. N., & Belov, K. V. (2010). Thermal modeling for characterization of near wellbore zone and zonal allocation. SPE Russian Oil & Gas Conference and Exhibition (October 26–28, 2010, Moscow, Russia), 739–760, Paper SPE-136256-MS. https://doi.org/10.2118/136256-MS

Ribeiro, P. M., & Horne, R. N. (2013). Pressure and temperature transient analysis: Hydraulic fractured well application. SPE Annual Technical Conference and Exhibition (September 30 – October 2, 2013, New Orleans, Louisiana, USA), 1763–1783, Paper SPE-166222-MS. https://doi.org/10.2118/166222-MS

Valiullin, R., Ramazanov, A., Sadretdinov, A., Sharafutdinov, R., Shako, V., Sidorova, M., & Kryuchatov, D. (2014). Field study of temperature simulators application for quantitative interpretation of transient thermal logging in a multipay well. SPE Russian Oil and Gas Exploration & Production Technical Conference and Exhibition (October 14–16, 2014, Moscow, Russia), 46–58, Paper SPE-171233-MS. https://doi.org/10.2118/171233-MS