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Buckley-Leverett Analysis for Transient Two-phase Flow in Fractal Porous Medium

Yonggang Duan1, Ting Lu1, Mingqiang Wei1, Boming Yu2, Zhelun Zhang1
Southwest Petroleum University, Chengdu, Sichuan, PR China.
Huazhong University of Science and Technology, Wuhan, Hubei, PR China.

Computer Modeling in Engineering & Sciences 2015, 109-110(6), 481-504. https://doi.org/10.3970/cmes.2015.109.481

Abstract

Analysis of Buckley-Leverett solution in fractal porous medium does prediction of water saturation profile a favor. On the approximation that porous medium consists of a bundle of tortuous capillaries, a physical conceptual Buckley- Leverett model of transient two-phase flow in fractal porous medium is developed based on the fractal characteristics of pore size distribution. The relationship between water saturation and distance is presented according to Buckley-Leverett solution, and the proposed Buckley-Leverett expression is the function of fractal structural parameters (such as pore fractal dimension, tortuosity fractal dimension, maximum and minimum diameters of capillaries) and fluid properties (such as viscosity, contact angle and interfacial tension) in fractal porous medium The sensitive parameters that impact on Buckley-Leverett expression are formulated and their sensitivities on water saturation file are discussed.

Keywords

fractal theory, transient two-phase flow, porous medium, fractional flow Buckley-Leverett analysis.

Cite This Article

Duan, Y., Lu, T., Wei, M., Yu, B., Zhang, Z. (2015). Buckley-Leverett Analysis for Transient Two-phase Flow in Fractal Porous Medium. CMES-Computer Modeling in Engineering & Sciences, 109-110(6), 481–504.



This work is licensed under a Creative Commons Attribution 4.0 International License , which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.
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