journal article·2025-11-06Open access

Non-Steady-State Coupled Model of Viscosity–Temperature–Pressure in Polymer Flooding Injection Wellbores

Yutian Huang, Jiawei Fan, Ming Hao, Xinlei Zhang, Fuzhen Liu, Xuesong Zhang

Applied Sciences· Volume 15· Issue 21

Abstract

Polymer solutions play a crucial role in the polymer flooding process by influencing the flow characteristics of formation fluids and enhancing recovery efficiency. Their properties are influenced by the transient coupling of temperature, pressure, and viscosity, yet the underlying patterns remain unclear. This study establishes a non-steady-state coupling model of polymer temperature–pressure–viscosity in wellbores, solved numerically using a staggered-grid fully implicit scheme in Matlab. At a depth of 1000 m, the polymer viscosity is measured in the field as 102.12 mPa·s, while the simulated value is 107.46 mPa·s (4.97% error), indicating good agreement with the wellbore viscosity distribution. Wellbore temperature is the dominant factor, whereas injection pressure has minor effects. Injection flow rate governs heat exchange with the formation; low flow causes larger temperature and viscosity fluctuations, while high flow leads to insufficient heat transfer. With prolonged injection, wellbore temperature approaches dynamic equilibrium, viscosity decreases, and sand-carrying capacity weakens. These findings provide theoretical guidance for optimizing polymer flooding.
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Research context

OpenAlex topics: Enhanced Oil Recovery Techniques · Hydraulic Fracturing and Reservoir Analysis · Reservoir Engineering and Simulation Methods

SciVX discovery tags are terminology-based. OpenAlex topics are source-provided classifications.

Affiliations

The Key Laboratory of Enhanced Oil and Gas Recovery of Educational Ministry, Northeast Petroleum University, Qinhuangdao 066000, China

School of Petroleum Engineering, Northeast Petroleum University, Daqing 163000, China

References (40)

Show source-provided references
1. Enhancing oil recovery from low-permeability reservoirs with a self-adaptive polymer: A proof-of-concept study10.1016/j.fuel.2019.04.034 ↗
2. Effect of polymer adsorption on permeability reduction in enhanced oil recovery
3. Chen, X., Li, Y., Sun, X., Liu, Z., Liu, J., and Liu, S. (2023). Investigation of polymer-assisted CO2 flooding to enhance oil recovery in low-permeability reservoirs. Polymers, 15.10.3390/polym15193886 ↗
4. Zhang, X., Li, B., Pan, F., Su, X., and Feng, Y. (2021). Enhancing oil recovery from low-permeability reservoirs with a thermoviscosifying water-soluble polymer. Molecules, 26.10.3390/molecules26247468 ↗
5. Yang, Y., Wang, Y., Liu, Y., and Liu, P. (2024). Enhancing oil recovery in low-permeability reservoirs using a low-molecular-weight amphiphilic polymer. Polymers, 16.10.3390/polym16081036 ↗
6. Low-salinity polymer flood for enhanced oil recovery in low-permeability carbonates10.2118/210233-PA ↗
7. Enhanced oil recovery mechanisms of polymer flooding in a heterogeneous oil reservoir10.1016/S1876-3804(21)60013-7 ↗
8. Polyacrylamide structural instability and degradation induced by nanobubbles: A molecular simulation study
9. Juárez, J.L., Bertin, H., Omari, A., Romero, C., Bourdarot, G., Jouenne, S., Morel, D., and Neillo, V. (2020). Polymer Injection for EOR: Influence of Mobility Ratio and Slug Size on Final Oil Recovery. SPE Europec Featured at EAGE Conference and Exhibition, SPE.10.2118/200611-MS ↗
10. Review on chemical enhanced oil recovery using polymer flooding: Fundamentals, experimental and numerical simulation10.1016/j.petlm.2019.09.003 ↗
11. Davarpanah, A. (2020). Parametric Study of Polymer-Nanoparticles-Assisted Injectivity Performance for Axisymmetric Two-Phase Flow in EOR Processes. Nanomaterials, 10.10.3390/nano10091818 ↗
12. Investigation of alkaline-surfactant-polymer flooding in a quarter five-spot sandpack for viscous oil recovery10.1016/j.petrol.2019.01.018 ↗
13. Research on polymer solution rheology in polymer flooding for Qikou reservoirs in a Bohai Bay oilfield10.1007/s13202-018-0515-7 ↗
14. Experimental and numerical study of the rheological characteristics and flow law of water-based drilling fluids in high-temperature and high-pressure wellbores10.1007/s42241-024-0062-2 ↗
15. Ramirez, A. (2025, November 01). Numerical Investigation of Polymer Injection Effects on Geomechanical Reservoir Properties During Enhanced Oil Recovery. Available online: https://hdl.handle.net/11124/172043.
16. Loss circulation in drilling and well construction: The significance of applications of crosslinked polymers in wellbore strengthening: A review10.1016/j.petrol.2019.106653 ↗
17. Dynamic characterization of viscoelasticity during polymer flooding: A two-phase numerical well test model and field study10.1016/j.petsci.2025.04.029 ↗
18. Laboratory and field studies of water floods using polymer solutions to increase oil recoveries10.2118/844-PA ↗
19. Smith, J.E. (1994, January 17–19). Closing the lab-field gap: A look at near-wellbore flow regimes and performance of 57 field projects. Proceedings of the SPE Improved Oil Recovery Conference, Tulsa, OK, USA. SPE-27774-MS.10.2118/27774-MS ↗
20. Muruaga, E., Flores, M., Norman, C., and Romero, J.L. (2008, January 24–28). Combining bulk gels and colloidal dispersion gels for improved volumetric sweep efficiency in a mature waterflood. Proceedings of the SPE Improved Oil Recovery Conference, Tulsa, OK, USA. SPE-113334-MS.10.2118/113334-MS ↗
21. Viscosity of polymer solutions and molecular weight characterization10.1021/acsmacrolett.3c00219 ↗
22. Models for flow of non-Newtonian and complex fluids through porous media10.1016/S0377-0257(01)00191-4 ↗
23. Study on improving viscosity of polymer solution based on complex reaction10.1088/1757-899X/369/1/012045 ↗
24. An improved study of near-well zone flooding for polymer solution through the mechanical shearing and Forchheimer flow simulation10.1016/j.mtcomm.2023.107634 ↗
25. Transient pressure analysis of polymer flooding fractured wells with oil-water two-phase flow10.1016/S1876-3804(22)60378-1 ↗
26. Numerical modeling and parallel computations of heat and mass transfer during polymer flooding of non-uniform oil reservoir developing by system of producing and injecting wells
27. Peng, L., Han, G., Chen, Z., Pagou, A.L., Zhu, L., and Abdoulaye, A.M. (2022). Dynamically coupled reservoir and wellbore simulation research in two-phase flow systems: A critical review. Processes, 10.10.3390/pr10091778 ↗
28. Unsteady-state temperature-pressure coupling model for fractured wellbores under supercritical carbon dioxide pressure
29. Aarvik, A., Djuve, S., and Valle, A. (2009, January 23–25). Steady state calculations of wellbore and wellhead temperatures. Proceedings of the BHR International Conference on Multiphase Production Technology, Edinburgh, UK. BHR-2009-E1.
30. A robust steady-state model for flowing-fluid temperature in complex wells
31. Numerical transient and steady state analytical modeling of the wellbore temperature during drilling fluid circulation10.1016/j.petrol.2019.106775 ↗
32. Zhang, S., Fu, J., Peng, C., Su, Y., Zhang, H., and Yang, M. (2024). The analysis of transient temperature in the wellbore of a deep shale gas horizontal well. Processes, 12.10.3390/pr12071402 ↗
33. The Wellbore Temperature and Pressure Behavior during the Flow Testing of Ultra-Deepwater Gas Wells
34. Tang, L., and Luo, P. (1998, January 17–19). The effect of the thermal stress on wellbore stability. Proceedings of the SPE Oil and Gas India Conference and Exhibition, New Delhi, India. SPE-39505-MS.10.2118/39505-MS ↗
35. Temperature and Pressure Profiles during Prolonged Working Fluid Injection in Wellbores: Mechanisms and Key Influencing Factors
36. Digital twinning of temperature fields for modular multilayer multiphase pipeline structures10.12688/digitaltwin.17930.2 ↗
37. An explicit equation for friction factor in pipe10.1021/i160071a019 ↗
38. Huang, W.X. (2010). Engineering Fluid Mechanics, Chemical Industry Press. (In Chinese).
39. A generalized symbolic Thomas algorithm for the solution of opposite-bordered tridiagonal linear systems10.1016/j.cam.2015.05.026 ↗
40. Study on the phase state and temperature-pressure distribution of CO2 injection wellbore and its effect on tubing stress conditions10.1016/j.geoen.2024.213155 ↗