Buckley-Leverett Analysis for Transient Two-phase Flow in Fractal Porous Medium
Yonggang Duan, Ting Lu, Mingqiang Wei, Boming Yu and Zhelun Zhang

doi:10.3970/cmes.2015.109.481
Source CMES: Computer Modeling in Engineering & Sciences, Vol. 109, No. 6, pp. 481-504, 2015
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Keywords fractal theory, transient two-phase flow, porous medium, fractional flow Buckley-Leverett analysis.
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.

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