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Capillarity 2021, 4(1): 13-22 https://doi.org/10.46690/capi.2021.01.02
Original Article | Open Access | Issue | Published: 12 March 2021

Prediction of spontaneous imbibition in fractal porous media based on modified porosity correlation

Show Author's Information Yinglin Li( ),  Di Yu,  Baolian Niu
School of Energy and Mechanical Engineering, Nanjing Normal University, Nanjing 210000, P. R. China
Keywords:
capillary pressure, Spontaneous imbibition, fractal theory, porous media
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Li Y, Yu D, Niu B. Prediction of spontaneous imbibition in fractal porous media based on modified porosity correlation. Capillarity, 2021, 4(1): 13-22. https://doi.org/10.46690/capi.2021.01.02
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Abstract Full text About this article

Spontaneous imbibition plays a significant role in different technical applications, and several analytical models have been proposed for predicting the fluid imbibition mass into porous media based on the fractal theory. Herein, these previous models are reconsidered in view of the obvious difference between the effective porosity and the areal porosity of porous media. Firstly, an implicit equation for fractal tortuosity is proposed and a modified correlation for the areal porosity is presented; then, a semi-analytical prediction model for fluid imbibition mass with gravity pressure is derived; finally, comparisons of predictions among several previous models with the present model are carried out. The modeling results show consistency with the experimental data published in the literature.


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About this article

Prediction of spontaneous imbibition in fractal porous media based on modified porosity correlation

Show Author's information Yinglin Li( ), Di Yu, Baolian Niu
School of Energy and Mechanical Engineering, Nanjing Normal University, Nanjing 210000, P. R. China

Abstract

Spontaneous imbibition plays a significant role in different technical applications, and several analytical models have been proposed for predicting the fluid imbibition mass into porous media based on the fractal theory. Herein, these previous models are reconsidered in view of the obvious difference between the effective porosity and the areal porosity of porous media. Firstly, an implicit equation for fractal tortuosity is proposed and a modified correlation for the areal porosity is presented; then, a semi-analytical prediction model for fluid imbibition mass with gravity pressure is derived; finally, comparisons of predictions among several previous models with the present model are carried out. The modeling results show consistency with the experimental data published in the literature.

Keywords: capillary pressure, Spontaneous imbibition, fractal theory, porous media

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Publication history
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Publication history

Received: 18 February 2021
Revised: 09 March 2021
Accepted: 09 March 2021
Published: 12 March 2021
Issue date: March 2021

Copyright

© The Author(s) 2021

Acknowledgements

The authors sincerely appreciate the support of the Natural Science Foundation of Jiangsu Province (Grant No. BK20140924).

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This article is distributed under the terms and conditions of the Creative Commons Attribution (CC BY-NC-ND) license, which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.

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