A FRACTAL APPROACH TO SPONTANEOUS IMBIBITION HEIGHT IN NATURAL POROUS MEDIA

Lijun You, Jianchao Cai (), Yili Kang and Liang Luo
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Lijun You: State Key Laboratory of Oil and Gas Reservoir Geology and Exploitation, Southwest Petroleum University, Chengdu 610500, P. R. China
Jianchao Cai: Key Laboratory of Tectonics and Petroleum Resources of Ministry of Education, Institute of Geophysics and Geomatics, China University of Geosciences, Wuhan 430074, P. R. China
Yili Kang: State Key Laboratory of Oil and Gas Reservoir Geology and Exploitation, Southwest Petroleum University, Chengdu 610500, P. R. China
Liang Luo: Laboratory of Advanced Energy Systems, Guangzhou Institute of Energy Conversion, Chinese Academy of Sciences, Guangzhou 510640, P. R. China

International Journal of Modern Physics C (IJMPC), 2013, vol. 24, issue 09, 1-10

Abstract: Spontaneous imbibition of wetting liquids in porous media is of great importance in many fields. In this paper, an analytical model for characterizing spontaneous imbibition height versus time in natural porous media was derived using fractal approach. The average imbibition height in porous media is in terms of porosity, fractal dimensions, maximum pore size and viscosity, surface tension and liquid–solid interactions. The developed model is consistent with previous results and is tested against available experimental data showing fair agreements.

Keywords: Spontaneous imbibition; fractal; porous media; BCLW equation; 47.56.+r; 47.55.nb; 05.45.Df (search for similar items in EconPapers)
Date: 2013
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DOI: 10.1142/S0129183113500630

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