倾斜毛细裂缝中油水分层流的相对渗透率研究
Research on the Relative Permeabilities of Laminar Oil-Water Flow in Inclined Capillary Fractures
DOI: 10.12677/apf.2024.132002, PDF,    科研立项经费支持
作者: 黄 娜, 陈 恒, 黄延延, 周和飞, 邵帅卿, 刘 磊*：西安交通大学能源与动力工程学院/动力工程多相流国家重点实验室，陕西 西安
关键词: 毛细裂缝；相对渗透率；分层流；油水两相流；油水界面滑移；Capillary Fractures； Relative Permeability； Stratified Flow； Oil-Water Two-Phase Flow； Oil-Water Interface Slip
摘要: 在裂缝性油藏渗流的研究中，毛细裂缝渗流是多孔介质渗流的微观基础。基于分层流模型和达西渗流理论，建立了考虑油水界面滑移的油水分层流相对渗透率模型。该模型表明油水相对渗透率是饱和度、湿周以及提出的界面滑移系数的函数。实验以白油与水作为工作流体，采用微流控技术加工了毛细裂缝，研究了不同倾斜角度的毛细裂缝中油水分层流的相对渗透率，与提出的相对渗透率模型的计算结果进行了对比分析。研究发现，计算结果与实验数据符合较好。当含油饱和度一定，毛细裂缝的倾斜角度对毛细裂缝中的油水相对渗透率影响很小。油相的界面滑移系数值在0.98至1.18之间，水相的界面滑移系数值在0.58至0.90之间，对于同一倾斜裂缝，随着含油饱和度的增大，油水界面滑移对油相的相对渗透率的影响逐渐减小，对水相的相对渗透率的影响逐渐增大，且对水相的相对渗透率的影响大于对油相的相对渗透率的影响。
Abstract: In the study of fractured reservoir seepage flow, capillary fracture seepage flow is the microscopic basis of porous media seepage. A relative permeability model for stratified oil-water flow considering oil-water interface slip was established based on the stratified flow model and Darcy flow theory. This model indicates that the relative permeabilities of oil-water flow are a function of saturation, wetted perimeter, and the proposed interfacial slip coefficient. The experiment used white oil and water as working fluids and employed microfluidic technology to process a capillary fracture. The relative permeabilities of laminar oil-water flow in capillary fractures with different inclination angles were studied, and the calculated results were compared and analyzed with the proposed relative permeability model. The calculated results are in good agreement with the experimental data. When the oil saturation is constant, the inclination angle of the capillary fracture has little effect on the relative permeabilities of oil-water flow in the capillary fracture. The interface slip coefficient values of oil are between 0.98 and 1.18, and the interface slip coefficient values of water are between 0.58 and 0.90. For the same inclined fracture, as oil saturation increases, the influence of oil-water interface slip on the relative permeability of oil gradually decreases, and the impact on the relative permeability of water gradually increases. The effect of oil-water interface slip on the relative permeability of water is greater than that on the relative permeability of oil.
文章引用：黄娜, 陈恒, 黄延延, 周和飞, 邵帅卿, 刘磊. 倾斜毛细裂缝中油水分层流的相对渗透率研究[J]. 渗流力学进展, 2024, 13(2): 9-18. https://doi.org/10.12677/apf.2024.132002

参考文献

[1] Shad, S. and Gates, I.D. (2010) Multiphase Flow in Fractures: Co-Current and Counter-Current Flow in a Fracture. Journal of Canadian Petroleum Technology, 49, 48-55. [Google Scholar] [CrossRef] 
[2] Wang, S., Bai, Y., Xu, B., Chen, L., Li, W. and Li, Y. (2021) A Semianalytical Model for Simulating Fluid Flow in Tight Sandstone Reservoirs with a Bottom Aquifer. Geofluids, 2021, 1-14. [Google Scholar] [CrossRef] 
[3] Su, Y.L., Xu, J.L., Wang, W.D., Wang, H. and Zhan, S.Y. (2022) Relative Permeability Estimation of Oil-Water Two-Phase Flow in Shale Reservoir. Petroleum Science, 19, 1153-1164. [Google Scholar] [CrossRef] 
[4] Huang, N., Liu, L., Zhang, X., Ma, K. and Zhou, M.W. (2023) Analytical Models and Experimental Verifications for Relative Permeabilities of Oil-Water Two-Phase Flow in Fractures. Petroleum Science and Technology, 1, 1-25. [Google Scholar] [CrossRef] 
[5] Yiotis, A.G., Psihogios, J., Kainourgiakis, M.E., Papaioannou, A., and Stubos A.K. (2007) A Lattice Boltzmann Study of Viscous Coupling Effects in Immiscible Two-Phase Flow in Porous Media. Colloids and Surfaces A: Physicochemical and Engineering Aspects, 300, 35-49. [Google Scholar] [CrossRef] 
[6] Xu, P., Qiu, S., Yu, B. and Jiang, Z. (2013) Prediction of Relative Permeability in Unsaturated Porous Media with a Fractal Approach. International Journal of Heat and Mass Transfer, 64, 829-837. [Google Scholar] [CrossRef] 
[7] Wang, H., Su, Y.L., Wang, W.D., Li, L., Sheng, G.L. and Zhan S.Y. (2019) Relative Permeability Model of Oil-Water Flow in Nanoporous Media Considering Multi-Mechanisms. Journal of Petroleum Science and Engineering, 183, 13. [Google Scholar] [CrossRef] 
[8] Al-Azzawi, M., Mjalli, F.S., Husain, A., et al. (2021) A Review on the Hydrodynamics of the Liquid-Liquid Two-Phase Flow in the Microchannels. Industrial & Engineering Chemistry Research, 60, 5049-5075. [Google Scholar] [CrossRef] 
[9] 李敏, 刘冬旭, 刘磊. 单一微孔隙中油水相对渗透率特性研究[J]. 工程热物理学报, 2020, 41(3): 668-673.
[10] Shah, R.K. and London, A.L., et al. (1980) Laminar Flow Forced Convection in Ducts. Journal of Fluids Engineering, 102, 431-455. [Google Scholar] [CrossRef] 
[11] Brauner, N., Maron, D.M. and Rovinsky, J. (1998) A Two-Fluid Model for Stratified Flows with Curved Interfaces. International Journal of Multiphase Flow, 24, 975-1004. [Google Scholar] [CrossRef] 
[12] Higdon, J.J.L. (2013) Multiphase Flow in Porous Media. Journal of Fluid Mechanics, 730, 1-4. [Google Scholar] [CrossRef] 
[13] Hashimoto, M., Garstecki, P., Stone, H.A., et al. (2008) Interfacial Instabilities in a Microfluidic Hele-Shaw Cell. Soft Matter, 4, 1403-1413. [Google Scholar] [CrossRef] [PubMed]
[14] Iso, E. (2008) Guide to the Expression of Uncertainty in Measurement. Measurement Uncertainty, 30, 105-107.
[15] 王强, 张宏兵, 潘益鑫, 等. 水平及倾斜圆管中油水两相分层流界面波对摩擦压降的影响[J]. 测井技术, 2018, 42(1): 8-13.
[16] 李爱芬, 孙强, 张东, 等. 单一缝洞内油水相对渗透率及其影响因素[J]. 中国石油大学学报(自然科学版), 2013(37): 98-102.

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