Effects of Relative Permeability History Dependence on Two-Phase Flow in Porous Media |
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| Authors: | Furati Khaled M |
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| Institution: | (1) Department of Mathematical Sciences, King Fahd University of Petroleum and Minerals, Dhahran, 31261, Saudi Arabia |
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| Abstract: | Hysteresis phenomena in multi-phase flow in porous media has been recognized by many researchers and widely believed to have significant effects on the flow. In an attempt to account for these effects, a theoretical model for history-dependent relative permeabilities is considered. This model is incorporated into 1-D two-phase nondiffusive flow system and the corresponding flow is predicted. Flow history is observed to have a notable impact on the saturation profile and fluids breakthrough. |
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| Keywords: | relative permeability hyssteresis Riemann problem fractional flow conservation law flow prediction history immiscible displacement two-phase flow modelling |
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