Flow characteristic of polymer solutions in porous media: Influence of the molecular weight and concentration

Abstract

The polymer solution flow in porous media is a central research topic related to hydraulic fracturing measures, formation damage and fracture propagation. Influenced by molecular weights and concentrations, various flow patterns of polymer in pores are presented, resulting in different filtration loss. In this work, the effectiveness of various polymer solutions for filtration loss was assessed by utilizing the core flooding experiment firstly. The result shows that lesser filtration loss normally is inextricably linked to solutions with high molecular weight and concentration. Subsequently, the flow behaviors of polymer solutions investigated by designed micro pore-throat structure and micro-particle image velocimetry (μ-PIV) further confirmed the above result. It was found that the central convergent flow pattern benefiting from higher viscous force loss and less filtration loss was observed at high flow rates (0.5 mL/h), and higher molecular weight and concentration were more prone to convergent flow patterns. The viscosity force loss increases by about 4 times varying the molecular weight of polymer from 5 × 10⁶ to 18 × 10⁶ g/mol or the concentration from 0.05 to 0.3%. It interprets higher molecular weight and concentration in core studies and field observations with decreased filtration loss of HPAM. This work provides a theoretical foundation for the application of fracturing fluids as well as fresh perspectives on how to access the filtration loss of fracturing fluids.

Keywords

Polymer solution / Porous media / Flow pattern / μ-PIV

Acknowledgements

The authors appreciate the support from National Key Research and Development Program of China (NO. 2022YFE0129900). The authors desire to thank one of the reviewers profusely for offering constructive comments which helped in improving the paper considerably.

References

[1] F.G. Adams, Y. Shachmurove, Modeling and forecasting energy consumption in China: implications for Chinese energy demand and imports in 2020, Energy Econ. 30 (3) (2008) 1263-1278, https://doi.org/10.1016/j.eneco.2007.02.010.

[2] L.A. Patterson, K.E. Konschnik, H. Wiseman, J. Fargione, K.O. Maloney, J. Kiesecker, et al., Unconventional oil and gas spills: risks, mitigation priorities, and state reporting requirements, Environ. Sci. Technol. 51 (5) (2017) 2563-2573, https://doi.org/10.1021/acs.est.6b05749.

[3] L. Tripathi, A.K. Mishra, A.K. Dubey, C.B. Tripathi, P. Baredar, Renewable energy: an overview on its contribution in current energy scenario of India, Renew. Sustain. Energy Rev. 60 (2016) 226-233, https://doi.org/10.1016/j.rser.2016.01.047.

[4] Z. Caineng, Y. Zhi, Z. Rukai, Z. Guosheng, H. Lianhua, W. Songtao, et al., Progress in China's unconventional oil & gas exploration and development and theoretical technologies, Acta Geologica Sinica -English Edition 89 ( 3) (2015) 938-971, https://doi.org/10.1111/1755-6724.12491.

[5] H. Wang, F. Ma, X. Tong, Z. Liu, X. Zhang, Z. Wu, et al., Assessment of global unconventional oil and gas resources, Petrol. Explor. Dev. 43 (6) (2016) 925-940, https://doi.org/10.1016/S1876-3804(16)30111-2.

[6] L. Zheng, P. Wei, Z. Zhang, S. Nie, X. Lou, K. Cui, et al., Joint exploration and development: a self-salvation road to sustainable development of unconventional oil and gas resources, Nat. Gas. Ind. B 4 (6) (2017) 477-490, https://doi.org/10.1016/j.ngib.2017.09.010.

[7] J. Liu, J.J. Sheng, H. Emadibaladehi, J. Tu, Experimental study of the stimulating mechanism of shut-in after hydraulic fracturing in unconventional oil reservoirs, Fuel 300 (2021) 120982, https://doi.org/10.1016/j.fuel.2021.120982.

[8] Z. Liu, Z. Pan, S. Li, L. Zhang, F. Wang, L. Han, et al., Study on the effect of cemented natural fractures on hydraulic fracture propagation in volcanic reservoirs, Energy 241 (2022) 122845, https://doi.org/10.1016/j.energy.2021.122845.

[9] I. Pană, I.V. Ghet¸ iu, I.G. Stan, F. Dinu, G. Brănoiu, S. Suditu, The use of hydraulic fracturing in stimulation of the oil and gas wells in Romania, Sustainability 14 (9) (2022), https://doi.org/10.3390/su14095614.

[10] A.C. Barbati, J. Desroches, A. Robisson, G.H. McKinley, Complex fluids and hydraulic fracturing, Annu. Rev. Chem. Biomol. Eng. 7 (1) (2016) 415-453.

[11] B. Wang, B. Liu, J. Yang, L. Bai, S. Li, Compatibility characteristics of fracturing fluid and shale oil reservoir: a case study of the first member of Qingshankou Formation, northern Songliao Basin, Northeast China, J. Petrol. Sci. Eng. 211 (2022) 110161, https://doi.org/10.1016/j.petrol.2022.110161.

[12] J. Wang, D. Elsworth, Y. Wu, J. Liu, W. Zhu, Y. Liu, The influence of fracturing fluids on fracturing processes: a comparison between water, oil and SC-CO2, Rock Mech. Rock Eng. 51 (1) (2018) 299-313.

[13] C. Dai, Y. Li, Q. Xie, K. Xu, Y. Hu, Z. Zhou, et al., Reduction of clean fracturing fluid filtration loss by viscosity enhancement using nanoparticles: is it feasible? Chem. Eng. Res. Des. 156 (2020) 414-424, https://doi.org/10.1016/j.cherd.2020.02.017Get.

[14] Z. Ge, S. Gong, Z. Zhou, M. Ye, Z. Wang, H. Zhang, et al., Influence of viscoelastic surfactant fracturing fluids on modified coal fracture flow characteristics, Energy & Fuels 36 (3) (2022) 1495-1506, https://doi.org/10.1021/acs.energyfuels.1c03951.

[15] V.A. Mosin, D.N. Voitenko, A.V. Bulgakov, S.V. Vasilchenko, A.V. Medentsev, On the return permeability definition by core flow study as a method for preliminary assessment of drill-in quality (Russian), Neftyanoe khozyaystvo -Oil Industry 2018 (10) (2018) 42-46, https://doi.org/10.24887/0028-2448-2018-10-42-46.

[16] H. Saboorian-Jooybari, M. Dejam, Z. Chen, Heavy oil polymer flooding from laboratory core floods to pilot tests and field applications: half-century studies, J. Petrol. Sci. Eng. 142 (2016) 85-100, https://doi.org/10.1016/j.petrol.2016.01.023.

[17] H. Dehghanpour, E. Kuru, Effect of viscoelasticity on the filtration loss characteristics of aqueous polymer solutions, J. Petrol. Sci. Eng. 76 (1) (2011) 12-20, https://doi.org/10.1016/j.petrol.2010.12.005.

[18] H.-S. Dou, N. Phan-Thien, Viscoelastic flow past a confined cylinder: instability and velocity inflection, Chem. Eng. Sci. 62 (15) (2007) 3909-3929, https://doi.org/10.1016/j.ces.2007.03.040.

[19] K. Ma, R. Liontas, C.A. Conn, G.J. Hirasaki, S.L. Biswal, Visualization of improved sweep with foam in heterogeneous porous media using microfluidics, Soft Matter 8 (41) (2012).

[20] M.K. Mulligan, J.P. Rothstein, The effect of confinement-induced shear on drop deformation and breakup in microfluidic extensional flows, Phys. Fluids 23 (2) (2011), https://doi.org/10.1063/1.3548856.

[21] Y. Wu, R. Wang, C. Dai, Y. Xu, T. Yue, M. Zhao, Precisely tailoring bubble morphology in microchannel by nanoparticles self-assembly, Ind. Eng. Chem. Res. 58 (9) (2019) 3707-3713, https://doi.org/10.1021/acs.iecr.8b06057.

[22] Y. Li, C. Dai, Y. Wu, K. Xu, M. Zhao, Y. Wang, Viscoelastic surfactant fluids filtration in porous media: a pore-scale study, AIChE J. 66 (6) (2020), https://doi.org/10.1002/aic.16229.

[23] Y. Li, R. Wang, R. Wang, W. Liu, C. Dai, X. Yao, et al., Investigation on flow characteristic of viscoelasticity fluids in pore-throat structure, J. Petrol. Sci. Eng. 174 (2019) 821-832, https://doi.org/10.1016/j.petrol.2018.12.003.

[24] P.P. Jagdale, D. Li, X. Shao, J.B. Bostwick, X. Xuan, Fluid rheological effects on the flow of polymer solutions in a contractioneexpansion microchannel, Micromachines 11 (3) (2020), https://doi.org/10.3390/mi11030278.

[25] L.E. Rodd, T.P. Scott, D.V. Boger, J.J. Cooper-White, G.H. McKinley, The inertioelastic planar entry flow of low-viscosity elastic fluids in micro-fabricated geometries, J. Non-Newtonian Fluid Mech. 129 (1) (2005) 1-22.

[26] E. Aliabadian, S. Sadeghi, M. Kamkar, Z. Chen, U. Sundararaj, Rheology of fumed silica nanoparticles/partially hydrolyzed polyacrylamide aqueous solutions under small and large amplitude oscillatory shear deformations, J. Rheol. 62 (5) (2018) 1197-1216, https://doi.org/10.1122/1.5024384.

[27] W.J.R. Gilbert, S.J. Johnson, J.-S. Tsau, J.-T. Liang, A.M. Scurto, Enzymatic degradation of polyacrylamide in aqueous solution with peroxidase and H₂O2, J. Appl. Polym. Sci. 134 (10) (2017), https://doi.org/10.1002/app.44560.

[28] S. Fakher, M. Ahdaya, A. Imqam, Hydrolyzed polyacrylamide e fly ash reinforced polymer for chemical enhanced oil recovery: Part 1 e injectivity experiments, Fuel 260 (2020) 116310, https://doi.org/10.1016/j.fuel.2019.116310.

[29] D.B. Pitz, A.T. Franco, C.O.R. Negr-ao, Effect of the Reynolds number on viscoelastic fluid flows through axisymmetric sudden contraction, J. Braz. Soc. Mech. Sci. Eng. 39 (5) (2017) 1709-1720.

[30] J.C. Wu, N.A. Peppas,Modeling of penetrant diffusion in glassy polymers with an integral sorption deborah number, J. Polym. Sci. B Polym. Phys. 31 (11) (1993) 1503-1518, https://doi.org/10.1002/polb.1993.090311108.

[31] J. Zhu, Z. Yang, X. Li, Z. Song, Z. Liu, S. Xie, Settling behavior of the proppants in viscoelastic foams on the bubble scale, J. Petrol. Sci. Eng. 181 (2019) 106216, https://doi.org/10.1016/j.petrol.2019.106216.

[32] H. Tang, H. Tang, J. He, F. Zhao, L. Zhang, J. Liao, et al., Damage mechanism of water-based fracturing fluid to tight sandstone gas reservoirs: improvement of the Evaluation Measurement for Properties of Water-based Fracturing Fluid: SY/T 5107-2016, Nat. Gas. Ind. B 8 (2) (2021) 163-172, https://doi.org/10.1016/j.ngib.2020.09.016.