Pore-Scale Numerical Simulation of CO2 Miscible Displacement Behavior in Low-Permeability Oil Reservoirs
Abstract
1. Introduction
2. Materials and Methods
2.1. Physical Model
2.2. Mathematical Model
- (1)
- During the oil displacement process, molecular diffusion of CO2 in the oil phase is relatively slow; moreover, within the pressure–temperature range considered in this study, the influence of compositional variations on the diffusion coefficient is secondary. Therefore, the variation in the CO2 diffusion coefficient in the oil phase is neglected [15].
- (2)
- Both the CO2 phase and the crude oil phase are treated as incompressible Newtonian fluids; that is, their density and viscosity do not vary appreciably with pressure and/or concentration, and the shear stress is linearly proportional to the shear rate [42].
- (3)
- CO2 flow in the porous medium is assumed to follow Darcy’s law, and inertial effects as well as potential non-Darcy terms that may arise under high flow rates or in the near-wellbore region are neglected [50].
- (4)
- Two-phase CO2–oil flow within the porous medium is assumed to be isothermal; thus, the Joule–Thomson effect, heat release/absorption associated with dissolution and/or miscible mixing, and viscosity–density variations induced by temperature gradients are ignored [51].
- (5)
- When the pressure reaches or exceeds the minimum miscibility pressure (MMP) and miscibility is achieved, the interfacial tension is assumed to approach zero, so capillary forces are not explicitly considered. In addition, oil swelling, extraction/exchange of light components, phase behavior/compositional evolution, and chemical reactions induced by miscible conditions are treated as secondary effects and therefore neglected; the displacement behavior is represented using an “effective miscibility” approximation [15,52].
2.2.1. Fluid Flow Equations
2.2.2. Convection–Diffusion Equation
2.3. Numerical Verification
3. Results
- (a)
- In the first group, the effects of injection rate on the displacement mechanism and oil recovery are examined at a fixed CO2 concentration and dynamic viscosities of 0.001 mol·m−3 and 15 mPa·s, respectively (A1–A9, Table 3).
- (b)
- The second group investigates the influence of CO2 injection concentration on the displacement process at a constant injection velocity of 0.01 m·s−1 and a continuous dynamic viscosity of 15 mPa·s (B1–B9, Table 3).
- (c)
- The third group analyzes the effect of CO2 dynamic viscosity on oil recovery under fixed injection velocity and CO2 concentration (C1–C9, Table 3).
3.1. Effect of CO2 Injection Velocity on Displacement Performance
3.2. Effect of CO2 Injection Concentration on Displacement Performance
3.3. Effect of CO2 Dynamic Viscosity on Displacement Performance
4. Discussion
- 1.
- Increasing CO2 injection velocity accelerates the propagation of the displacement front and enhances the mobilization of residual oil in dead-end pores and trailing zones. However, a velocity saturation effect is observed. When the injection velocity exceeds 0.02 m/s, the displacement pattern tends to stabilize, indicating that further increases in injection velocity yield only marginal improvements in ultimate oil recovery.
- 2.
- Higher CO2 injection concentration leads to faster CO2 accumulation within the pore space, a substantial enlargement of the miscible swept area, greater spatial uniformity of the concentration field, and smoother advancement of the displacement front. At higher concentrations, front-velocity fluctuations are reduced, and the proportion of high-gradient regions decreases, suggesting that higher injection concentration helps suppress local instability of the displacement front and enhances miscible flooding efficiency. However, the final displacement configuration and overall displacement efficiency showed only minor variation across the concentration range considered.
- 3.
- CO2 dynamic viscosity strongly influences flow stability. Low viscosity promotes viscous fingering, resulting in channeling and bypassing of oil. Conversely, excessively high viscosity improves flow stability and suppresses fingering, but increases injection pressure drops and higher energy consumption. Therefore, an optimal viscosity must balance improved displacement stability against the operational cost associated with higher injection pressures.
Author Contributions
Funding
Data Availability Statement
Conflicts of Interest
References
- Chang, Y.W.; Feng, N.C. Development Countermeasures for Oil and Gas Industry Under the Background of “Carbon Peaking and Carbon Neutrality”. Xinjiang Pet. Geol. 2022, 43, 235–240. Available online: https://www.zgxjpg.com/CN/10.7657/XJPG20220216 (accessed on 1 December 2025).
- Zhang, X.; Li, X.; Ma, Q.; Liu, L.N. Development of Carbon Capture, Utilization and Storage Technology in China. Chin. Eng. Sci. 2021, 23, 70–80. [Google Scholar] [CrossRef]
- Zhang, L.H.; Cao, C.; Wen, S.M.; Zhao, Y.L.; Peng, X.; Wu, J.F. Thoughts on the developmengt of CO2-EGR under the background of carbon peak and carbon neutrality. Nat. Gas Ind. 2023, 10, 383–392. [Google Scholar] [CrossRef]
- Peng, X.T.; Lu, H.D.; Zhang, H. Interpretation of IPCC AR6 report on carbon capture, utilization and storage (CCUS) technology development. Adv. Clim. Change Res. 2022, 18, 580–590. Available online: https://www.climatechange.cn/article/2022/1673-1719/1673-1719-18-5-580.shtml (accessed on 1 December 2025).
- Xing, Y.; Hou, L.; Du, M.; Jia, N.H.; Lu, W.F. Research progress and development prospect of CCUS-EOR technologies in China. Pet. Geol. Recovery Effic. 2023, 30, 1–17. [Google Scholar] [CrossRef]
- Wang, J.Y.; Kong, Y.L.; Duan, Z.F.; Zhang, J.X.; Luo, X.L.; Huang, Y.H.; Luo, N.N.; Cheng, Y.Z.; Zhou, N.; Zhang, W.Z.; et al. Geothermal energy exploitation and storage in coal field under the dual carbon goal. Coal Geol. Explor. 2023, 51, 1–11. [Google Scholar] [CrossRef]
- Hoegh-Guldberg, O.; Bruno, J. The impact of climate change on the world’s marine ecosystems. Science 2010, 328, 1523–1528. [Google Scholar] [CrossRef]
- Song, R.; Wang, Y.; Tang, Y.; Liu, J.; Yang, C. 3D Printing of natural sandstone at pore scale and comparative analysis on micro-structure and single/two-phase flow properties. Energy 2022, 261, 125226. [Google Scholar] [CrossRef]
- Song, R.; Liu, J.; Cui, M. A new method to reconstruct structured mesh model from micro-computed tomography images of porous media and its application. Int. J. Heat Mass Trans. 2017, 109, 705–715. [Google Scholar] [CrossRef]
- Bode, S.; Jung, M. Carbon dioxide capture and storage—Liability for non-permanence under the UNFCCC. Int. Environ. Agreem. Politics Law Econ. 2006, 6, 173–186. [Google Scholar] [CrossRef]
- Cao, S.; Dai, S.; Jung, J. Supercritical CO2 and brine displacement in geological carbon sequestration: Micromodel and pore network simulation studies. Int. J. Greenh. Gas Control 2016, 44, 104–114. [Google Scholar] [CrossRef]
- Lu, J.; Hawthorne, S.; Sorensen, J.; Pekot, L.; Kurz, B.; Smith, S.; Loreal, H.; Volker, H.; Nicholas, B.; José, T.; et al. Advancing CO2 enhanced oil recovery and storage in unconventional oil play—Experimental studies on Bakken shales. Appl. Energy 2017, 208, 171–183. [Google Scholar] [CrossRef]
- Rogala, A.; Ksiezniak, K.; Krzysiek, J.; Hupka, J. Carbon dioxide sequestration during shale gas recovery. Phys. Probl. Miner. Process. 2014, 50, 681–692. [Google Scholar] [CrossRef]
- Parker, M.E.; Meyer, J.P.; Meadows, S.R. Carbon dioxide enhanced oil recovery injection operations technologies. Energy Procedia 2009, 1, 3141–3148. [Google Scholar] [CrossRef]
- Green, D.W.; Willhite, G.P. Enhanced Oil Recovery, 2nd ed.; Henry, L., Ed.; Doherty Memorial Fund of AIME, Society of Petroleum Engineers: Richardson, TX, USA, 2018. [Google Scholar] [CrossRef]
- Wang, X.Q.; Gu, Y.A. Oil recovery and permeability reduction of a tight sandstone reservoir in immiscible and miscible CO2 flooding processes. Ind. Eng. Chem. Res. 2011, 50, 2388–2399. [Google Scholar] [CrossRef]
- Hao, Y.; Li, Z.; Su, Y.; Kong, C.; Chen, H.; Meng, Y. Experimental investigation of CO2 storage and oil production of different CO2 injection methods at pore-scale and core-scale. Energy 2022, 254, 124349. [Google Scholar] [CrossRef]
- Taber, J.J.; Martin, D.F. Technical screening guides for the enhanced recovery of oil. In Proceedings of the SPE Annual Technical Conference and Exhibition, San Francisco, CA, USA, 5–8 October 1983. [Google Scholar] [CrossRef]
- Song, R.; Wang, Y.; Liu, J.; Cui, M.; Lei, Y. Comparative analysis on pore-scale permeability prediction on micro-CT images of rock using numerical and empirical approaches. Energy Sci. Eng. 2019, 7, 2842–2854. [Google Scholar] [CrossRef]
- Peng, X.Y.; Wang, Y.Y.; Diao, Y.Q.; Zhang, L.; Yazid, I.M.; Ren, S.R. Experimental investigation on the operation parameters of carbon dioxide huff-n-puff process in ultralow permeability oil reservoirs. J. Pet. Sci. Eng. 2019, 174, 903–912. [Google Scholar] [CrossRef]
- Yang, Y.Z.; Liao, G.Z.; Wu, Y.; Ma, X.L.; Dong, Z.Z.; Li, W.R.; Wei, J.G. Displacement efficiency and storage characteristics of CO2 in low permeability reservoirs: An experimental work. Energy Explor. Exploit. 2023, 41, 601–618. [Google Scholar] [CrossRef]
- Yang, S.G.; Cai, M.Y.; Zhang, K.F.; Cao, D.D.; Zhao, X.L.; Liu, S.X. Research progress and prospect of CO2-water-rock interaction on petrophysical properties of CO2 geological sequestration. Pet. Geol. Recovery Effic. 2023, 30, 80–91. [Google Scholar] [CrossRef]
- Zhang, C.Y.; Oostrom, M.; Grate, J.; Wietsma, T.; Warner, M. Liquid CO2 displacement of water in a dual-permeability pore network micromodel. Environ. Sci. Technol. 2011, 45, 7581–7588. [Google Scholar] [CrossRef]
- Liu, H.H.; Valocchi, A.J.; Werth, C.; Kang, Q.J.; Oostrom, M. Pore-scale simulation of liquid CO2 displacement of water using a two-phase lattice Boltzmann model. Adv. Water Resour. 2014, 73, 144–158. [Google Scholar] [CrossRef]
- Zheng, S.X.; Li, H.A.; Sun, H.J.; Yang, D.Y. Determination of diffusion coefficient for alkane solvent—CO2 mixtures in heavy oil with consideration of swelling effect. Ind. Eng. Chem. Res. 2016, 55, 1533–1549. [Google Scholar] [CrossRef]
- Wang, H.; Su, Y.L.; Wang, W.D.; Jin, Z.H.; Chen, H. CO2-oil diffusion, adsorption and miscible flow in nanoporous media from pore-scale perspectives. Chem. Eng. J. 2022, 450, 137957. [Google Scholar] [CrossRef]
- Yang, D.; Gu, Y. Determination of diffusion coefficients and interface mass-transfer coefficients of the crude oil–CO2 system by analysis of the dynamic and equilibrium interfacial tensions. Ind. Eng. Chem. Res. 2008, 47, 5447–5455. [Google Scholar] [CrossRef]
- Sachs, W. The diffusional transport of methane in liquid water: Method and result of experimental investigation at elevated pressure. J. Petrol. Sci. Eng. 1998, 21, 153–164. [Google Scholar] [CrossRef]
- Zhu, Q.L.; Zhou, Q.L.; Li, X.C. Numerical simulation of displacement characteristics of CO2 injected in pore-scale porous media. J. Rock Mech. Geotech. Eng. 2016, 8, 87–92. [Google Scholar] [CrossRef]
- Shi, Y.; Tang, G.H. Non-Newtonian rheology property for two-phase flow on fingering phenomenon in porous media using the lattice Boltzmann method. J. Non-Newton. Fluid Mech. 2016, 229, 86–95. [Google Scholar] [CrossRef]
- Zhu, G.P.; Yao, J.; Li, A.E.; Sun, H.; Zhang, L. Pore-scale investigation of carbon dioxide-enhanced oil recovery. Energy Fuel 2017, 31, 5324–5332. [Google Scholar] [CrossRef]
- Basirat, F.; Yang, Z.; Niemi, A. Pore-scale modeling of wettability effects on CO2–brine displacement during geological storage. Adv. Water Resour. 2017, 109, 181–195. [Google Scholar] [CrossRef]
- Rokhforouz, M.R.; Amiri, H.A. Effects of grain size and shape distribution on pore-scale numerical simulation of two-phase flow in a heterogeneous porous medium. Adv. Water Resour. 2019, 124, 84–95. [Google Scholar] [CrossRef]
- Ma, Q.; Zheng, Z.; Fan, J.; Jia, J.; Bi, J.; Hu, P.; Wang, Q.; Li, M.; Wei, W.; Wang, D. Pore-scale simulations of CO2/oil flow behavior in heterogeneous porous media under various conditions. Energies 2021, 14, 533. [Google Scholar] [CrossRef]
- Zou, Q.L.; Liu, H.; Jiang, Z.B.; Wu, X.A. Gas flow laws in coal subjected to hydraulic slotting and a prediction model for its permeability-enhancing effect. Energy Sources Part A Recovery Util. Environ. Eff. 2025, 47, 8628–8642. [Google Scholar] [CrossRef]
- Wang, Y.; Song, R.; Liu, J.; Cui, M.; Ranjith, P. Pore scale investigation on scaling-up micro-macro capillary number and wettability on trapping and mobilization of residual fluid. J. Contam. Hydrol. 2019, 225, 103499. [Google Scholar] [CrossRef]
- Zhang, L.; Kang, Q.; Yao, J.; Gao, Y.; Sun, Z. Pore scale simulation of liquid and gas two-phase flow based on digital core technology. Sci. China Technol. Sci. 2015, 58, 1375–1384. [Google Scholar] [CrossRef]
- Shen, J.; Yang, X. Decoupled, energy stable schemes for phase-field models of two-phase incompressible flows. SIAM J. Numer. Anal. 2015, 53, 279–296. [Google Scholar] [CrossRef]
- Chaudhary, K.; Bayani, C.; Wolfe, W.; Maisano, A.; Ketcham, A.; Bennett, C. Pore-scale trapping of supercritical CO2 and the role of grain wettability and shape. Geophys. Res. Lett. 2013, 40, 3878–3882. [Google Scholar] [CrossRef]
- Chen, H.; Li, B.; Duncan, I.; Elkhider, M.; Liu, X. Empirical correlations for prediction of minimum miscible pressure and near-miscible pressure interval for oil and CO2 systems. Fuel 2020, 278, 118272. [Google Scholar] [CrossRef]
- Frisch, U.; Hasslacher, B.; Pomeau, Y. Lattice-Gas Automata for the Navier-Stokes Equation. Phys. Rev. Lett. 1986, 56, 1505–1508. [Google Scholar] [CrossRef]
- Wang, Y.X.; Zhou, L.F.; Jiao, Z.S.; Shang, Q.H. Relative permeability calculation model of CO2 immiscible flooding in low permeability reservoir based on the three parameter nonlinear seepage. J. Northwest Univ. (Nat. Sci. Ed.) 2018, 48, 107–114+131. Available online: https://jglobal.jst.go.jp/en/detail?JGLOBAL_ID=201802289879151589 (accessed on 1 December 2025).
- Antanovskii, L.K. A phase field model of capillarity. Phys. Fluids 1995, 7, 747–753. [Google Scholar] [CrossRef]
- Song, X.K.; Liu, Y.T.; Yang, X.W.; Fang, P.T.; Liu, X.J. Numerical simulation of CO2 miscible displacement at pore scale. Pet. Geol. Recovery Effic. 2024, 31, 140–152. [Google Scholar] [CrossRef]
- Mang, Q.S. Application of Complex Digital Core Modeling in CO2-EOR Simulation. Master’s Thesis, Dalian University of Technology, Dalian, China, 2021. [Google Scholar] [CrossRef]
- Sun, Y.L.; Gao, B.; Tong, Z.Q.; Wang, J.W.; Gu, M.J.; Wang, Z.; Liu, Q.M. Experimental study of slippage effects and Knudsen diffusion in shale nanopores. Geol. Resour. 2024, 33, 671–679. [Google Scholar] [CrossRef]
- Zhao, K.Y. A Model for Multi-component Shale Gas Transport in Nanopores with Multiple Mechenisms Coupling. Chin. J. Undergr. Space Eng. 2022, 18, 57–64+82. [Google Scholar] [CrossRef]
- Yang, G.; Sun, H.H.; Tu, H.J.; Ang, Y.F.; Yin, L.M.; Xv, S.H. Application of methane carbon isotope in the productivity prediction of shale gas wells in Weiyuan area, southern Sichuan. Mud Logging Eng. 2025, 36, 27–33. [Google Scholar]
- Wu, K.L.; Li, X.F.; Chen, Z.X. A model for gas transport through nanopores of shale gas reservoirs. Acta Pet. Sin. 2015, 36, 837–848+889. [Google Scholar] [CrossRef]
- Garmeh, G.; Johns, R.T.; Lake, L.W. Pore-scale simulation of dispersion in porous media. SPE J. 2009, 14, 559–567. [Google Scholar] [CrossRef]
- Hoteit, H. Modeling diffusion and gas-oil mass transfer in fractured reservoirs. J. Petrol. Sci. Eng. 2013, 105, 1–17. [Google Scholar] [CrossRef]
- Kuljabekov, A.; Ashirbekov, A.; Wang, L.; Monaco, E.; Royer, J.J.; Rojas-Solórzano, L.R. Isothermal CO2 injection into water-saturated porous media: Lattice-Boltzmann modelling of pulsatile flow with porosity, tortuosity, and optimal frequency characterization. Therm. Sci. Eng. Prog. 2023, 43, 101949. [Google Scholar] [CrossRef]
- Guo, Y.H.; Cai, S.Y.; Li, D.J.; Zhang, L.; Sun, H.; Yang, Y.F.; Zhu, G.P.; Xu, Z.; Bao, B. The influence and mechanism analysis of heterogeneous properties of porous media on the non-miscible displacement of water and oil. Sci. China Technol. Sci. 2022, 52, 807–818. [Google Scholar] [CrossRef]
- Li, N.; Cheng, L.S. Study of fluid-solid coupling model considering convective diffusion of CO2 miscible flooding in low permeability reservoir. J. Rock Mech. Geotech. Eng. 2012, 31, 3055–3060. [Google Scholar]
- Li, T.T.; Wang, S.L.; Li, J.B.; Dong, K.X.; Wen, Z.N. Experimental study of pore-scale flow mechanism of immiscible CO2 flooding under in-situ temperature-pressure coupling conditions. PLoS ONE 2025, 20, 0321527. [Google Scholar] [CrossRef]
















| Boundary Type | Boundary Condition | Value |
|---|---|---|
| Inlet | Pressure | p = p0 |
| Outlet | Pressure | p = 0 |
| Grain wall | Wall | No-slip |
| Symmetry plane | Symmetry | —— |
| Physical Quantity | Value | Description |
|---|---|---|
| u0 | 0.1/1 µL/min | CO2 injection velocity |
| T0 | 323.15 K | CO2 injection temperature |
| p0 | 8 MPa | CO2 injection pressure |
| mu0 | 14.9 mPa·s | CO2 dynamic viscosity |
| c0 | 0.001 mol/m3 | CO2 concentration |
| Number | (m/s) | (mol/m3) | (mPa·s) | Number | (mol/m3) | (m/s) | (mPa·s) | Number | (mPa·s) | (m/s) | (mol/m3) |
|---|---|---|---|---|---|---|---|---|---|---|---|
| A1 | 0.001 | 0.001 | 15 | B1 | 0.001 | 0.01 | 15 | C1 | 10 | 0.01 | 0.001 |
| A2 | 0.005 | B2 | 0.0015 | C2 | 15 | ||||||
| A3 | 0.01 | B3 | 0.002 | C3 | 20 | ||||||
| A4 | 0.015 | B4 | 0.0025 | C4 | 25 | ||||||
| A5 | 0.02 | B5 | 0.003 | C5 | 30 | ||||||
| A6 | 0.025 | B6 | 0.0035 | C6 | 35 | ||||||
| A7 | 0.03 | B7 | 0.004 | C7 | 40 | ||||||
| A8 | 0.035 | B8 | 0.0045 | C8 | 45 | ||||||
| A9 | 0.04 | B9 | 0.005 | C9 | 50 |
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Li, T.; Wang, S.; Li, J.; Wang, D.; Tao, Z.; Wu, Y. Pore-Scale Numerical Simulation of CO2 Miscible Displacement Behavior in Low-Permeability Oil Reservoirs. Processes 2025, 13, 4073. https://doi.org/10.3390/pr13124073
Li T, Wang S, Li J, Wang D, Tao Z, Wu Y. Pore-Scale Numerical Simulation of CO2 Miscible Displacement Behavior in Low-Permeability Oil Reservoirs. Processes. 2025; 13(12):4073. https://doi.org/10.3390/pr13124073
Chicago/Turabian StyleLi, Tingting, Suling Wang, Jinbo Li, Daobing Wang, Zhiheng Tao, and Yue Wu. 2025. "Pore-Scale Numerical Simulation of CO2 Miscible Displacement Behavior in Low-Permeability Oil Reservoirs" Processes 13, no. 12: 4073. https://doi.org/10.3390/pr13124073
APA StyleLi, T., Wang, S., Li, J., Wang, D., Tao, Z., & Wu, Y. (2025). Pore-Scale Numerical Simulation of CO2 Miscible Displacement Behavior in Low-Permeability Oil Reservoirs. Processes, 13(12), 4073. https://doi.org/10.3390/pr13124073

