Numerical study of non-uniqueness of the factors influencing relative permeability in heterogeneous porous media by lattice Boltzmann method |
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| Institution: | 1. Department of Civil and Environmental Engineering and Earth Sciences, University of Notre Dame, Notre Dame, IN 46556, USA;2. Department of Mechanical and Aerospace Engineering, University of Notre Dame, Notre Dame, IN 46556, USA;3. International Institute for Carbon-Neutral Energy Research (I2CNER), Kyushu University, Japan;1. Institute of Geophysics and Geomatics, China University of Geosciences, Wuhan 430074, PR China;2. Key Laboratory of Tectonics and Petroleum Resources, Ministry of Education, China University of Geosciences, Wuhan 430074, PR China;3. Research Institute of Petroleum Exploration and Development, PetroChina, Beijing 100083, PR China;4. Physical Science and Engineering Division, King Abdullah University of Science and Technology, Thuwal, Saudi Arabia;5. State Key Laboratory of Coal Resources and Safe Mining, China University of Mining and Technology, Beijing 100083, PR China;6. State Key Laboratory of Petroleum Resources and Prospecting, China University of Petroleum, Beijing 102249, PR China;1. School of Safety Science and Engineering, Xi''an University of Science and Technology, Xi''an 710054, PR China;2. Key Laboratory of Thermo-Fluid Science and Engineering, Ministry of Education, School of Energy and Power Engineering, Xi''an Jiaotong University, Xi''an 710049, PR China |
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| Abstract: | The effects of capillary number Ca and viscosity ratio M on non-uniqueness of the relative permeability (RP) – wetting saturation (Sw) relationships of steady-state immiscible two-phase flow in the heterogeneous porous media are studied by a developed lattice Boltzmann method (LBM). In this work, it is suggested that the non-uniqueness of capillary number Ca and viscosity ratio M influencing RP–Sw curves is due to the presence of the heterogeneity of porous media. For the different Ca and M, the RP–Sw curves in the homogenous and heterogeneous porous media with the same porosity are discussed in detail. It is found that (1) the pore-size distributions in porous media have significant effect on the RPs of both wetting phase (WP) and non-wetting phase (NWP); (2) the heterogeneity of porous media has negative effect on the increment of the RP of NWP caused by the large capillary number. The lubricating effect is strongly dependent on pore-size distributions in porous media; and (3) the large viscosity ratio increases the RP of NWP, while it has little effect on the RP of WP. The effect on the RP of NWP may be magnified by the heterogeneity of porous media. |
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