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Article

Spontaneous Imbibition in a Fractal Network Model with Different Wettabilities

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Key Laboratory of Unconventional Oil & Gas Development, Ministry of Education, China University of Petroleum (East China), Qingdao 266580, China
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Research Center of Multiphase Flow in Porous Media, School of Petroleum Engineering, China University of Petroleum (East China), Qingdao 266580, China
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Geological Exploration & Development Research Institute, CNPC Chuanqing Drilling Engineering Company Limited, Chengdu 610051, China
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College of Chemical Engineering, University of Tehran, Tehran 1417466191, Iran
*
Authors to whom correspondence should be addressed.
Academic Editors: Jianchao Cai and Steffen Berg
Water 2021, 13(17), 2370; https://doi.org/10.3390/w13172370
Received: 28 June 2021 / Revised: 23 August 2021 / Accepted: 26 August 2021 / Published: 29 August 2021
In this work, we derived a mathematical model for spontaneous imbibition in a Y-shaped branching network model. The classic Lucas–Washburn equation was used for modeling the imbibition process occurring in the Y-shape model. Then, a mathematical model for the Newtonian fluid’s imbibition was derived to reveal the relationship between dimensionless imbibition time and length ratio, radius ratio, and wetting strength. The dimensionless imbibition time in the model was adopted to compare with that of the capillary bundle model. Different length and radius ratios were considered in the adjacent two-stage channels, and different wettabilities were considered in the different branches. The optimal radius ratio, length ratio, and wetting strength were calculated under the condition of the shortest imbibition time. In addition, the shortest dimensionless imbibition time of the three-stage Y-shaped branching network model was calculated when the wettability changes randomly. The results indicate that the imbibition time changed mostly when the wettability of the second branch changed, and the second branch was the most sensitive to wettability in the model. View Full-Text
Keywords: porous media; capillary force; imbibition; fractal; L–W equation porous media; capillary force; imbibition; fractal; L–W equation
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MDPI and ACS Style

Cai, S.; Zhang, L.; Kang, L.; Yang, Y.; Jing, W.; Zhang, L.; Xu, C.; Sun, H.; Sajjadi, M. Spontaneous Imbibition in a Fractal Network Model with Different Wettabilities. Water 2021, 13, 2370. https://doi.org/10.3390/w13172370

AMA Style

Cai S, Zhang L, Kang L, Yang Y, Jing W, Zhang L, Xu C, Sun H, Sajjadi M. Spontaneous Imbibition in a Fractal Network Model with Different Wettabilities. Water. 2021; 13(17):2370. https://doi.org/10.3390/w13172370

Chicago/Turabian Style

Cai, Shaobin, Li Zhang, Lixin Kang, Yongfei Yang, Wenlong Jing, Lei Zhang, Chao Xu, Hai Sun, and Mozhdeh Sajjadi. 2021. "Spontaneous Imbibition in a Fractal Network Model with Different Wettabilities" Water 13, no. 17: 2370. https://doi.org/10.3390/w13172370

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