Effects of gravity and buoyancy on spontaneous liquid-liquid imbibition in fractured porous media
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Abstract
Spontaneous imbibition in porous materials has received significant attention in recent decades; however, spontaneous liquid-liquid imbibition in fractures has not been well studied. Specifically, the mechanism behind the influence of gravity and buoyancy on the spontaneous imbibition of wetting phase fluid into fractured porous media remains uncertain. In this study, an analytical solution for spontaneous imbibition in fractured porous media under the influence of gravity and buoyancy is presented. The results show that imbibition velocity with buoyancy and gravity is faster than that without these forces. The effect of buoyancy and gravity on imbibition velocity increases with rising fracture aperture and length. When the fracture aperture is less than 1 μm, the relative deviation between imbibition height with and without gravity and buoyancy is about 50%. On the other hand, when the fracture aperture is greater than 1 μm, the relative deviation is proportional to the fracture aperture. The relative reduction in imbibition height over time is not obvious when the fracture aperture is the same. In the process of water-oil spontaneous imbibition, the effect of buoyancy and gravity is more pronounced at low oil-water interfacial tension. Therefore, the effect of buoyancy and gravity on spontaneous imbibition cannot be ignored under this condition.
Document Type: Original article
Cited as: Cheng, H., Wang, F. Effects of gravity and buoyancy on spontaneous liquid-liquid imbibition in fractured porous media. Capillarity, 2024, 10(1): 1-11. https://doi.org/10.46690/capi.2024.01.01
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Andersen, P. Ø., Qiao, Y., Standnes, D. C., et al. Cocurrent spontaneous imbibition in porous media with the dynamics of viscous coupling and capillary backpressure. SPE Journal, 2019, 24(1): 158-177.
Balankin, A. S., Ramírez-Joachin, J., González-López, G., et al. Formation factors for a class of deterministic models of pre-fractal pore-fracture networks. Chaos, Solitons & Fractals, 2022, 162: 112452.
Brabazon, J. W., Perfect, E., Gates, C. H., et al. Spontaneous imbibition of a wetting fluid into a fracture with opposing fractal surfaces: Theory and experimental validation. Fractals, 2019, 27(1): 1940001.
Cai, J., Chen, Y., Liu, Y., et al. Capillary imbibition and flow of wetting liquid in irregular capillaries: A 100-year review. Advances in Colloid and Interface Science, 2022, 304: 102654.
Cai, J., Hu, X., Standnes, D. C., et al. An analytical model for spontaneous imbibition in fractal porous media including gravity. Colloids and Surfaces A: Physicochemical and Engineering Aspects, 2012, 414: 228-233.
Cao, R., Xu, Z., Cheng, L., et al. Study of single phase mass transfer between matrix and fracture in tight oil reservoirs. Geofluids, 2019, 2019: 1038412.
Chang, B., Cao, C., Zhang, Y., et al. Discrete fracture model with unsteady-state adsorption and water-gas flow for shale-gas reservoirs. Energy Reports, 2023, 9: 371-386.
Chang, Y., Yao, Y., Liu, D., et al. Behavior and mechanism of water imbibition and its influence on gas permeability during hydro-fracturing of a coalbed methane reservoir. Journal of Petroleum Science and Engineering, 2022, 208: 109745.
Cheng, C. L., Perfect, E., Donnelly, B., et al. Rapid imbibition of water in fractures within unsaturated sedimentary rock. Advances in Water Resources, 2015, 77: 82-89.
Cheng, H., Wang, F. Mathematical model of the spontaneous imbibition of water into oil-saturated fractured porous media with gravity. Chemical Engineering Science, 2021, 231: 116317.
Hossein Javadi, A., Fatemi, M. Impact of salinity on fluid/fluid and rock/fluid interactions in enhanced oil recovery by hybrid low salinity water and surfactant flooding from fractured porous media. Fuel, 2022, 329: 125426.
Hu, Y., Zhao, C., Zhao, J., et al. Mechanisms of fracturing fluid spontaneous imbibition behavior in shale reservoir: A review. Journal of Natural Gas Science and Engineering, 2020, 82: 103498.
Huang, X., Liu, F., Zhang, P., et al. Application of microgel latex in water-based drilling fluid to stabilize the fractured formation. Geoenergy Science and Engineering, 2023, 228: 212016.
Huang, X., Zhao, Y. Characterization of pore structure, gas adsorption, and spontaneous imbibition in shale gas reservoirs. Journal of Petroleum Science and Engineering, 2017, 159: 197-204.
Kong, X., Zeng, J., Tan, X., et al. Natural tectonic fractures and their formation stages in tight reservoirs of Permian Lucaogou Formation, Jimsar Sag, southern Junggar Basin, NW China. Marine and Petroleum Geology, 2021, 133: 105269.
Li, Y., Chen, X., Shao, Y. 3D natural fracture model of shale reservoir based on petrophysical characterization. Journal of Structural Geology, 2023, 166: 104763.
Li, X., Jiang, Z., Couples, G. G. A Stochastic method for modelling the geometry of a single fracture: spatially controlled distributions of aperture, roughness and anisotropy. Transport in Porous Media, 2019a, 128(2): 797-819.
Li, C., Singh, H., Cai, J. Spontaneous imbibition in shale: A review of recent advances. Capillarity, 2019b, 2(2): 17-32.
Liang, C., Liu, A., Luo, Q., et al. Differences in imbibition efficiency between bedding and tectonic fractures in the lucaogou formation in the Jimusar sag: Evidence from simulation experiments. Frontiers in Earth Science, 2022, 10: 918244.
Liu, D., Chen, Z., Luo, Q., et al. Development characteristics and controlling factors of natural fractures in Permian Lucaogou Formation tight reservoir in Jimsar sag, Junggar Basin. China Petroleum Exploration, 2017, 4(22): 36-47. (in Chinese)
Liu, R., Yu, L., Jiang, Y. Fractal analysis of directional permeability of gas shale fracture networks: A numerical study. Journal of Natural Gas Science and Engineering, 2016, 33: 1330-1341.
Luo, W., Tang, C., Zhou, Y., et al. A new semi-analytical method for calculating well productivity near discrete fractures. Journal of Natural Gas Science and Engineering. 2018, 57: 216-223.
Mason, G., Morrow, N. R. Developments in spontaneous imbibition and possibilities for future work. Journal of Petroleum Science and Engineering, 2013, 110: 268-293.
Mehana, M., Al Salman, M., Fahes, M. Impact of salinity and mineralogy on slick water spontaneous imbibition and formation strength in shale. Energy & Fuels, 2018, 32(5): 5725-5735.
Meng, Q., Liu, H., Wang, J., et al. Effect of gravity on spontaneous imbibition from cores with two ends open in the frontal flow period. Journal of Petroleum Science and Engineering, 2016, 141: 16-23.
Mirzaei-Paiaman, A., Masihi, M. Scaling of recovery by cocurrent spontaneous imbibition in fractured petroleum reservoirs. Energy Technology, 2014, 2(2): 166-175.
Moreno, L., Neretnieks, I., Eriksen, T. Analysis of some laboratory tracer runs in natural fissures. Water Resources Research, 1985, 21(7): 951-958.
Muralidhar, K. Flow and transport in single rock fractures. Journal of Fluid Mechanics, 1990, 215(1): 481.
Neuzil, C. E., Tracy, J. V. Flow through fractures. Water Resources Research, 1981, 17(1): 191-199.
Qi, Z., Han, M., Chen, S., et al. Surfactant enhanced imbibition in carbonate reservoirs: Effect of IFT reduction and surfactant partitioning. JCIS Open, 2022, 5: 100045.
Salam, A., Wang, X. An analytical solution on spontaneous imbibition coupled with fractal roughness, slippage and gravity effects in low permeability reservoir. Journal of Petroleum Science and Engineering, 2022, 208: 109501.
Schechter, D. S., Zhou, D., Orr, F. M. Low IFT drainage and imbibition. Journal of Petroleum Science and Engineering, 1994, 11(4): 283-300.
Schmid, K. S., Geiger, S. Universal scaling of spontaneous imbibition for water-wet systems. Water Resources Research, 2012, 101: 44-61.
Schwiebert, M., Leong, K. Underfill flow as viscous flow between parallel plates driven by capillary action. IEEE Transactions on Components, Packaging, and Manufacturing Technology: Part C, 1996, 2(19): 133-137.
Shi, Y., Yassin, M. R., Dehghanpour, H. A modified model for spontaneous imbibition of wetting phase into fractal porous media. Colloids and Surfaces A: Physicochemical and Engineering Aspects, 2018, 543: 64-75.
Tang, X., Zhu, H., Che, M., et al. Complex fracture propagation model and plugging timing optimization for temporary plugging fracturing in naturally fractured shale. Petroleum Exploration and Development, 2023, 50(1): 152-165.
Tian, W., Wu, K., Chen, Z., et al. A relative permeability model considering nanoconfinement and dynamic contact angle effects for tight reservoirs. Energy, 2022, 258: 124846.
Tian, W., Wu, K., Gao, Y., et al. A critical review of enhanced oil recovery by imbibition: Theory and practice. Energy & Fuels, 2021, 35(7): 5643-5670.
Tokunaga, T. K. Simplified green-ampt model, imbibition-based estimates of permeability, and implications for leak-off in hydraulic fracturing. Water Resources Research, 2020, 56: e2019WR026919.
Trinchero, P., Sanglas, J., Iraola, A., et al. On the parameterisation of dual-continuum models for reactive transport modelling in fractured media. Journal of Hydrology, 2022, 615: 128691.
Wang, F., Cheng, H. A fractal permeability model for 2D complex tortuous fractured porous media. Journal of petroleum science and engineering, 2020a, 188: 106938.
Wang, F., Cheng, H. Effect of gravity on spontaneous imbibition of the wetting phase into gas-saturated tortuous fractured porous media: Analytical solution and diagnostic plot. Advances in Water Resources, 2020b, 142: 103657.
Wang, G., Huang, T., Yan, S. Experimental study of the fracturing-wetting effect of VES fracturing fluid for the coal seam water injection. Journal of Molecular Liquids, 2019, 295: 111715.
Wang, W., Xie, Q., Li, J., et al. Fracturing fluid imbibition impact on gas-water two phase flow in shale fracture-matrix system. Natural Gas Industry B, 2023a, 10(4): 323-332.
Wang, C., Yang, Y., Nie, X., et al. Effect of Micro pore-throat on porosity and permeability of dual media digital rock. Chinese Journal of Computational Physics, 2023b, 40(5): 606-613. (in Chinese)
Wang, F., Yue, H. A comprehensive mathematical model for spontaneous imbibition in oil-saturated fractured tight sandstones: Incorporating fracture distribution, displacement pressure, gravity, and buoyancy effects. Physics of Fluids, 2023, 35(6): 062122.
Wang, F., Zhao, J. Mathematical modeling of gravity and buoyancy effect on low interfacial tension spontaneous imbibition in tight oil reservoirs. AIChE Journal, 2021, 67(9): e17332.
Washburn, E. W. The dynamics of capillary flow. Physical Review, 1921, 3(17): 273-283.
Yang, K., Wang, F., Zhao, J. Experimental study of surfactant-enhanced spontaneous imbibition in fractured tight sandstone reservoirs: The effect of fracture distribution. Petroleum Science, 2022, 20(1): 370-381.
Zhang, X., Ye, Q., Deng, J., et al. Experimental study and mechanism analysis of spontaneous imbibition of surfactants in tight oil sandstone. Capillarity, 2023, 7(1): 1-12.
Zhang, C., Zhu, D., Luo, Q., et al. Major factors controlling fracture development in the Middle Permian Lucaogou Formation tight oil reservoir, Junggar Basin, NW China. Journal of Asian Earth Sciences, 2017, 146: 279-295.
Zhao, M., Liu, S., Gao, Z., et al. The spontaneous imbibition mechanisms for enhanced oil recovery by gel breaking fluid of clean fracturing fluid. Colloids and Surfaces A: Physicochemical and Engineering Aspects, 2022, 650: 129568.
Zhao, Y., Wu, Y., Han, S., et al. Water sorptivity of unsaturated fractured sandstone: Fractal modeling and neutron radiography experiment. Advances in Water Resources, 2019, 130: 172-183.
Zhou, Y., Guan, W., Zhao, C., et al. Spontaneous imbibition behavior in porous media with various hydraulic fracture propagations: A pore-scale perspective. Advances in Geo-Energy Research, 2023, 9(3): 185-197.
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