Technical Papers
Jun 29, 2023

A Numerical Study on the Multiphase Newtonian and Non-Newtonian Displacement in a Porous Micromodel via Water–Surfactant–Polymer Flooding

Publication: Journal of Engineering Mechanics
Volume 149, Issue 9

Abstract

The multiphase displacement of Newtonian and non-Newtonian fluids in a porous media has some important applications in enhanced oil recovery (EOR) and water resources contamination. In such flows, the viscosity difference between the phases and the surface tension could destabilize the flow and cause complex patterns to occur in the interface. According to the literature, the physics of chemical flooding inside a homogeneous porous medium is not comprehensively understood. The numerical simulations are mostly restricted to the simplified volume-averaging equations for the flow inside the porous media, such as Darcy’s law and its modifications (Darcy-Brinkman, Darcy-Forchheimer, Darcy-Oldroyd, Modified-Darcy) for both cases of Newtonian and non-Newtonian fluid flows. These simplified equations might be unsuitable/inaccurate, especially in the case of non-Newtonian fluids. There are few studies in which the full nonlinear momentum equations of Newtonian and/or non-Newtonian fluids (i.e., the Navier-Stokes and Cauchy equations) are solved for the case of immiscible two-phase flows inside a pore-scale micromodel of the porous media. Here, we studied this problem for cases of both displacement of Newtonian and non-Newtonian fluids using the level-set method, which is excellent for tracking the interface between the phases. Therefore, the results of these simulations are expected to be more realistic than solving the simplified volume averaging equations. Here, the oil displacement efficiency in the micromodel is evaluated by seawater, an aqueous solution of sodium dodecyl sulfate (an anionic surfactant), and a polystyrene solution as the shear-thinning non-Newtonian fluid. The effect of displacing fluid injection rate, viscosity ratio, mobility ratio, and power-law index n of the non-Newtonian Carreau fluid model on the displacement parameters and Saffman-Taylor instability is studied in detail. The result indicates the effectiveness of shear-thinning non-Newtonian fluid within the sweeping range of the micromodel, compared to other discussed chemical factors. It was found that for the case of injected polystyrene at a flow rate of 0.5  mL/h, the breakthrough time increased to 34 s, compared to 21 s for seawater.

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Data Availability Statement

All data and models that support the findings of this study are available from the corresponding author upon reasonable request.

Acknowledgments

This work was supported by the Brain Pool Program through the National Research Foundation of Korea (NRF), funded by the Ministry of Science and ICT (MSIT) Grant Nos. NRF-2022H1D3A2A01091637, 2020R1A5A8018822, and 2021R1C1C2009287. The authors also which to express their appreciation to Shahrood University of Technology for their financial support.

References

Allen, E., and D. Boger. 1988. “The influence of rheological properties on mobility control in polymer-augmented waterflooding.” In Proc., SPE Annual Technical Conf. and Exhibition. Richardson, TX: Society of Petroleum Engineers. https://doi.org/10.2118/18097-MS.
Azaiez, J., and B. Singh. 2002. “Stability of miscible displacements of shear thinning fluids in a Hele-Shaw cell.” Phys. Fluids 14 (5): 1557–1571. https://doi.org/10.1063/1.1462030.
Azizi, Q., S. H. Hashemabadi, and S. Akbari. 2020. “Experimental and numerical study of the impact of viscosity ratio and velocity on the multiphase flow in micro-models.” J. Dispersion Sci. Technol. 41 (14): 2176–2191. https://doi.org/10.1080/01932691.2019.1664909.
Bengar, A., S. Moradi, M. Ganjeh-Ghazvini, and A. Shokrollahi. 2017. “Optimized polymer flooding projects via combination of experimental design and reservoir simulation.” Petroleum 3 (4): 461–469. https://doi.org/10.1016/j.petlm.2017.05.006.
Bird, R. B., R. C. Armstrong, and O. Hassager. 1987. Dynamics of polymer liquids. 2nd ed. New York: Wiley.
Bonn, D., H. Kellay, M. Ben Amar, and J. Meunier. 1995. “Viscous finger widening with surfactants and polymers.” Phys. Rev. Lett. 75 (11): 2132–2135. https://doi.org/10.1103/PhysRevLett.75.2132.
Broni-Bediako, E., E. T. Brantson, and K. A. Asante. 2021. “Numerical simulation of the combined effects of low salinity water and alkaline-surfactant-polymer flooding.” Int. J. Oil Gas Coal Eng. 9 (4): 46–58. https://doi.org/10.11648/j.ogce.20210904.11.
Chhabra, R. P., and J. F. Richardson. 2011. Non-Newtonian flow and applied rheology: Engineering applications. New York: Butterworth-Heinemann.
Clifford, P., and A. Duthie. 1987. “Analysis of a polymer well treatment in the Beatrice field.” In Proc., SPE Offshore Europe. Richardson, TX: Society of Petroleum Engineers. https://doi.org/10.2118/16550-MS.
Conn, C. A., K. Ma, G. J. Hirasaki, and S. L. Biswal. 2014. “Visualizing oil displacement with foam in a microfluidic device with permeability contrast.” Lab Chip 14 (20): 3968–3977. https://doi.org/10.1039/C4LC00620H.
Dahbag, M. S., and M. E. Hossain. 2016. “Simulation of ionic liquid flooding for chemical enhance oil recovery using CMG STARS software.” In Proc., SPE Kingdom of Saudi Arabia Annual Technical Symp. and Exhibition. Richardson, TX: Society of Petroleum Engineers. https://doi.org/10.2118/182836-MS.
de Melo, M. A., I. P. da Silva, G. M. de Godoy, and A. N. Sanmartim. 2002. “Polymer injection projects in Brazil: Dimensioning, field application and evaluation.” In Proc., SPE/DOE Improved Oil Recovery Symp. Richardson, TX: Society of Petroleum Engineers. https://doi.org/10.2118/75194-MS.
de Oliveira, L. F. L., D. J. Schiozer, and M. Delshad. 2016. “Impacts of polymer properties on field indicators of reservoir development projects.” J. Pet. Sci. Eng. 147 (Nov): 346–355. https://doi.org/10.1016/j.petrol.2016.05.020.
Deshpande, K. B., and W. B. Zimmerman. 2006. “Simulation of interfacial mass transfer by droplet dynamics using the level set method.” Chem. Eng. Sci. 61 (19): 6486–6498. https://doi.org/10.1016/j.ces.2006.06.012.
Farouq Ali, S., and S. Thomas. 1994. “A realistic look at enhanced oil recovery.” Sci. Iran. 1 (3): 158–165.
Firozjaii, A. M., and H. R. Saghafi. 2020. “Review on chemical enhanced oil recovery using polymer flooding: Fundamentals, experimental and numerical simulation.” Petroleum 6 (2): 115–122. https://doi.org/10.1016/j.petlm.2019.09.003.
Goudarzi, A., M. Delshad, and K. Sepehrnoori. 2013. “A critical assessment of several reservoir simulators for modeling chemical enhanced oil recovery processes.” In Proc., SPE Reservoir Simulation Symp. Richardson, TX: Society of Petroleum Engineers. https://doi.org/10.2118/163578-MS.
Günther, A., and K. F. Jensen. 2006. “Multiphase microfluidics: From flow characteristics to chemical and materials synthesis.” Lab Chip 6 (12): 1487–1503. https://doi.org/10.1039/B609851G.
Guo, Y., L. Zhang, G. Zhu, J. Yao, H. Sun, W. Song, Y. Yang, and J. Zhao. 2019. “A pore-scale investigation of residual oil distributions and enhanced oil recovery methods.” Energies 12 (19): 3732. https://doi.org/10.3390/en12193732.
Hornbrook, J., L. Castanier, and P. Pettit. 1991. “Observation of foam/oil interactions in a new, high-resolution micro-model.” In Proc., SPE Annual Technical Conf. and Exhibition. Richardson, TX: Society of Petroleum Engineers. https://doi.org/10.2118/22631-MS.
Janiga, D., R. Czarnota, J. Stopa, P. Wojnarowski, and P. Kosowski. 2017. “Performance of nature inspired optimization algorithms for polymer enhanced oil recovery process.” J. Pet. Sci. Eng. 154 (Jun): 354–366. https://doi.org/10.1016/j.petrol.2017.04.010.
Lake, L. W. 1989. Enhanced oil recovery, 550. Hoboken, NJ: Prentice-Hall Inc.
Lee, Y. H., J. Azaiez, and I. D. Gates. 2019. “Interfacial instabilities of immiscible non-Newtonian radial displacements in porous media.” Phys. Fluids 31 (4): 043103. https://doi.org/10.1063/1.5090772.
Lenormand, R., E. Touboul, and C. Zarcone. 1988. “Numerical models and experiments on immiscible displacements in porous media.” J. Fluid Mech. 189 (Apr): 165–187. https://doi.org/10.1017/S0022112088000953.
Li, Z., and M. Delshad. 2014. “Development of an analytical injectivity model for non-Newtonian polymer solutions.” SPE J. 19 (3): 381–389. https://doi.org/10.2118/163672-PA.
Littmann, W., W. Kleinitz, B. Christensen, B. Stokke, and T. Haugvallstad. 1992. “Late results of a polymer pilot test: Performance, simulation adsorption, and xanthan stability in the reservoir.” In Proc., SPE/DOE Enhanced Oil Recovery Symp. Richardson, TX: Society of Petroleum Engineers. https://doi.org/10.2118/24120-MS.
Logvinov, O. A. 2022. “Viscous fingering in poorly miscible power-law fluids.” Phys. Fluids 34 (Jun): 063105. https://doi.org/10.1063/5.0088487.
Marathe, R. V., N. K. Patel, K. Ramachandran, C. R. Maurya, and P. Tewari. 2008. “Performance of polymer flood in Sanand field, India—A case study.” In Proc., SPE Asia Pacific Oil and Gas Conf. Richardson, TX: Society of Petroleum Engineers. https://doi.org/10.2118/114878-MS.
Mattax, C., and J. Kyte. 1961. “Ever see a water flood.” Oil Gas J. 59 (42): 115–128.
Morel, D., E. Zaugg, S. Jouenne, J. Danquigny, and P. Cordelier. 2015. “Dalia/camelia polymer injection in deep offshore field Angola learnings and in situ polymer sampling results.” In Proc., SPE Asia Pacific Enhanced Oil Recovery Conf. Richardson, TX: Society of Petroleum Engineers. https://doi.org/10.2118/174699-MS.
Norouzi, M., and M. R. Shogh. 2015. “Nonlinear simulation of non-Newtonian viscous fingering instability in anisotropic porous media.” Modares Mech. Eng. 15 (7): 415–425.
Olsson, E., and G. Kreiss. 2005. “A conservative level set method for two phase flow.” J. Comput. Phys. 210 (1): 225–246. https://doi.org/10.1016/j.jcp.2005.04.007.
Olsson, E., G. Kreiss, and S. Zahedi. 2007. “A conservative level set method for two phase flow II.” J. Comput. Phys. 225 (1): 785–807. https://doi.org/10.1016/j.jcp.2006.12.027.
Owete, O. S., and W. E. Brigham. 1987. “Flow behavior of foam: A porous micromodel study.” SPE Reservoir Eng. 2 (3): 315–323. https://doi.org/10.2118/11349-PA.
Piller, M., D. Casagrande, G. Schena, and M. Santini. 2014. “Pore-scale simulation of laminar flow through porous media.” J. Phys. Conf. Ser. 501 (1): 012010. https://doi.org/10.1088/1742-6596/501/1/012010.
Quadri, S. M., L. Jiran, M. Shoaib, M. R. Hashmet, A. M. AlSumaiti, and S. M. Alhassan. 2015. “Application of biopolymer to improve oil recovery in high temperature high salinity carbonate reservoirs.” In Proc., Abu Dhabi Int. Petroleum Exhibition and Conf. Richardson, TX: Society of Petroleum Engineers. https://doi.org/10.2118/177915-MS.
Rai, S. K., A. Bera, and A. Mandal. 2015. “Modeling of surfactant and surfactant–polymer flooding for enhanced oil recovery using STARS (CMG) software.” J. Pet. Explor. Prod. Technol. 5 (1): 1–11. https://doi.org/10.1007/s13202-014-0112-3.
SayedAkram, N. I., and D. Mamora. 2011. “Simulation study on surfactant-polymer flood performance in fractured carbonate reservoir.” In Proc., SPE/DGS Saudi Arabia Section Technical Symp. and Exhibition. Richardson, TX: Society of Petroleum Engineers. https://doi.org/10.2118/149106-MS.
Sheng, J. J. 2013. “A comprehensive review of alkaline-surfactant-polymer (ASP) flooding.” In Proc., SPE Western Regional & AAPG Pacific Section Meeting 2013 Joint Technical Conf. Richardson, TX: Society of Petroleum Engineers. https://doi.org/10.2118/165358-MS.
Shoghi, M. R., and M. Norouzi. 2015. “Linear stability analysis and nonlinear simulation of non-Newtonian viscous fingering instability in heterogeneous porous media.” Rheol. Acta 54 (11): 973–991. https://doi.org/10.1007/s00397-015-0887-2.
Shokri, H. 2018. “Numerical simulation of fingering instability for viscoelastic fluids used in enhanced-oil-recovery operations.” Ph.D. dissertation, Shahrood Univ. of Technology.
Singh, B. K., and J. Azaiez. 2001. “Numerical simulation of viscous fingering of shear-thinning fluids.” Can. J. Chem. Eng. 79 (6): 961–967. https://doi.org/10.1002/cjce.5450790614.
Stegemeier, G. L. 1976. “Mechanisms of entrapment and mobilization of oil in porous media.” In AICRE Mtng, 81st, Missouri. 55–91. Springfield, MO: Missouri State Univ.
Stone, H. A., A. D. Stroock, and A. Ajdari. 2004. “Engineering flows in small devices: Microfluidics toward a lab-on-a-chip.” Annu. Rev. Fluid Mech. 36 (Jan): 381–411. https://doi.org/10.1146/annurev.fluid.36.050802.122124.
Sun, X., M. Zhao, X. Fan, Y. Zhang, C. Xu, L. Wang, and G. Sang. 2022. “Study on micro production mechanism of corner residual oil after polymer flooding.” Polymers 14 (5): 878. https://doi.org/10.3390/polym14050878.
Terry, R. E. 2001. “Enhanced oil recovery.” In Encyclopedia of physical science and technology, edited by R. A. Meyers, 503–518. Amsterdam, Netherlands: Academic Press.
Varges, P. R., P. E. Azevedo, B. S. Fonseca, P. R. de Souza Mendes, M. F. Naccache, and A. L. Martins. 2020. “Immiscible liquid-liquid displacement flows in a Hele-Shaw cell including shear thinning effects.” Phys. Fluids 32 (1): 013105. https://doi.org/10.1063/1.5133054.
Weiss, W., and R. Baldwin. 1985. “Planning and implementing a large-scale polymer flood.” J. Pet. Technol. 37 (4): 720–730. https://doi.org/10.2118/12637-PA.
Whitesides, G. M. 2006. “The origins and the future of microfluidics.” Nature 442 (7101): 368–373. https://doi.org/10.1038/nature05058.
Zanganeh, H. R. 2017. “Laboratory modeling of foam injection with the approach of increased oil recovery.” Master’s thesis, Faculty of Mechanical Engineering, Shahrood Univ. of Technology.

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Go to Journal of Engineering Mechanics
Journal of Engineering Mechanics
Volume 149Issue 9September 2023

History

Received: Dec 21, 2022
Accepted: Apr 12, 2023
Published online: Jun 29, 2023
Published in print: Sep 1, 2023
Discussion open until: Nov 29, 2023

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Seyed Mostafa Mirtabaie [email protected]
Ph.D. Student, Faculty of Mechanical Engineering, Shahrood Univ. of Technology, Shahrood 3619995161, Iran. Email: [email protected]
Mahmood Norouzi [email protected]
Associate Professor, Faculty of Mechanical Engineering, Shahrood Univ. of Technology, Shahrood 3619995161, Iran (corresponding author). Email: [email protected]
Mohsen Nazari [email protected]
Associate Professor, Faculty of Mechanical Engineering, Shahrood Univ. of Technology, Shahrood 3619995161, Iran. Email: [email protected]
Associate Professor, School of Mechanical Engineering, Pusan National Univ., Busan 46241, Republic of Korea. Email: [email protected]
Kyung Chun Kim [email protected]
Professor, School of Mechanical Engineering, Pusan National Univ., Busan 46241, Republic of Korea. Email: [email protected]

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