Similarity solutions for immiscible phase migration in porous media: an analysis of free boundaries |
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Authors: | Arieh Pistiner Michael Shapiro Hillel Rubin |
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Institution: | (1) Faculty of Civil Engineering, CAMERI-Coastal and Marine Engineering Research Institute, 32000 Haifa, Israel;(2) Faculty of Mechanical Engineering, Technion - Israel Institute of Technology, 32000 Haifa, Israel |
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Abstract: | A fuel pollutant migrating in a water flow throughout a porous medium is distributed between the moving (continuous) and residual (discontinuous) phases. Usually, there is an equilibrium condition between these phases. In this study, the migration of a fuel slug confied within free boundaries moving in the porous medium is considered. This type of fuel migration pertains to circumstances in which convective fuel transport dominates fuel dispersion when fuel saturation approaches zero. A one-dimensional self-similar model is developed, describing the movement of fuel saturation fronts in a porous medium against and with the water flow direction. Several analytical solutions are found revealing the effects of the pore size, fuel viscosity, fuel mass, and the capillary number on the fuel migration in the porous medium. |
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Keywords: | Two-phase flow fuel saturation self-similar solutions porous media convective dispersion capillary number |
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