AI Chat Paper
Note: Please note that the following content is generated by AMiner AI. SciOpen does not take any responsibility related to this content.
{{lang === 'zh_CN' ? '文章概述' : 'Summary'}}
{{lang === 'en_US' ? '中' : 'Eng'}}
Chat more with AI
Home Capillarity Article
View PDF
Collect
Submit Manuscript AI Chat Paper
Show Outline
Outline
Show full outline
Hide outline
Outline
Show full outline
Hide outline
Original Article | Open Access

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

School of Energy and Mechanical Engineering, Nanjing Normal University, Nanjing 210000, P. R. China
Show Author Information

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.

References

 
Ashraf, S., Phirani, J. Capillary displacement of viscous liquids in a multi-layered porous medium. Soft Matter, 2019, 15(9): 2057-2070.
 
Balankin, A. S., Elizarraraz, B. E. Hydrodynamics of fractal continuum flow. Physical Review E, 2012, 85(2): 025302.
 
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.
 
Cai, J., Perfect, E., Cheng, C., et al. Generalized modeling of spontaneous imbibition based on Hagen-Poiseuille flow in tortuous capillaries with variably shaped apertures. Langmuir, 2014, 30(18): 5142-5151.
 
Cai, J., Yu, B. A discussion of the effect of tortuosity on the capillary imbibition in porous media. Transport in Porous Media, 2011, 89(2): 251-263.
 
Cai, J., Yu, B., Mei, M., et al. Capillary rise in a single tortuous capillary. Chinese Physics Letters, 2010a, 27(5): 054701.
 
Cai, J., Yu, B., Zou, M., et al. Fractal characterization of spontaneous co-current imbibition in porous media. Energy & Fuels, 2010b, 24(3): 1860-1867.
 
Cai, J., Yu, B., Zou, M., et al. Fractal analysis of invasion depth of extraneous fluids in porous media. Chemical Engineering Science, 2010c, 65(18): 5178-5186.
 
Dudek, M., Bertheussen, A., Dumaire, T., et al. Microfluidic tools for studying coalescence of crude oil droplets in produced water. Chemical Engineering Science, 2018, 191: 448-458.
 
Elizalde, E., Urteaga, R., Berli, C. Rational design of capillary-driven flows for paper-based microfluidics. Lab on a Chip, 2015, 15(10): 2173-2180.
 
Gao, L., Yang, Z., Shi, Y. Experimental study on spontaneous imbibition characteristics of tight rocks. Advances in Geo-Energy Research, 2018, 2(3): 292-304.
 
Li, K., Zhao, H. Fractal prediction model of spontaneous imbibition rate. Transport Porous Media, 2012, 91(2): 363-376.
 
Liu, G., Zhang, M., Ridgway, C., et al. Spontaneous inertial imbibition in porous media using a fractal representation of pore wall rugosity. Transport in Porous Media, 2014, 104(1): 231-251.
 
Liu, S., Ni, J., Wen, X., et al. A dual-porous and dual-permeable media model for imbibition in tight sandstone reservoirs. Journal of Petroleum Science and Engineering, 2020, 194: 107477.
 
Lucas, R. Rate of capillary ascension of liquids. Kolloid-Zeitschrift, 1918, 23: 15-22.
 
Nishikawara, M., Otani, K., Ueda, Y., et al. Liquid-vapor phase behavior and operating characteristics of the capillary evaporator of a loop heat pipe at start-up. International Journal of Thermal Sciences, 2018, 129: 426-433.
 
Olafuyi, O. A., Cinar, Y., Knackstedt, M. A., et al. Spontaneous imbibition in small cores. Paper SPE 109724 Presented at the Asia Pacific Oil and Gas Conference and Exhibition, Jakarta, Indonesia, 30 October-1 November, 2007.
DOI
 
Orlando, C. E., Ruben, E. S., Krishna, D. P. N., et al. Directional displacement of non-aqueous fluids through spontaneous aqueous imbibition in porous structures. Chemical Engineering Science, 2020, 228: 115959.
 
Pia, G., Sanna, U. A geometrical fractal model for the porosity and thermal conductivity of insulating concrete. Construction and Building Materials, 2013, 44: 551-556.
 
Schembre, J. M., Akin, S., Castanier, L. M., et al. Spontaneous water imbibition into diatomite. Paper SPE 46211 Presented at the SPE Western Regional Meeting, Bakersfield, California, 10-13 May, 1998.
DOI
 
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.
 
Washburn, E. W. The dynamics of capillary flow. Physical Review, 1921, 17(3): 273-283.
 
Wijshoff, H. Drop dynamics in the inkjet printing process. Current Opinion in Colloid & Interface Science, 2018, 36: 20-27.
 
Wu, J., Yu, B. A fractal resistance model for flow through porous media. International Journal of Heat and Mass Transfer, 2007, 50(19-20): 3925-3932.
 
Xie, J., Gao, M., Zhang, R., et al. Experimental investigation on the anisotropic fractal characteristics of the rock fracture surface and its application on the fluid flow description. Journal of Petroleum Science and Engineering, 2020, 191: 107190.
 
Xu, P., Yu, B. Developing a new form of permeability and Kozeny-Carman constant for homogeneous porous media by means of fractal geometry. Advances in Water Resources, 2008, 31(1): 74-81.
 
Yu, B., Cai, J., Zou, M. On the physical properties of apparent two-phase fractal porous media. Vadose Zone Journal, 2009, 8(1): 177-186.
 
Yu, B., Cheng, P. A fractal permeability model for bi-dispersed porous media. International Journal of Heat and Mass Transfer, 2002, 45(14): 2983-2993.
Capillarity
Pages 13-22
Cite this article:
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

864

Views

71

Downloads

10

Crossref

12

Scopus

Altmetrics

Received: 18 February 2021
Revised: 09 March 2021
Accepted: 09 March 2021
Published: 12 March 2021
© The Author(s) 2021

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.

Return