Smoothed particle hydrodynamics pore-scale simulations of unstable immiscible flow in porous media |
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Institution: | 1. Pacific Northwest National Laboratory, PO Box 999, MS K9-36, Richland, WA 99352, United States;2. School of Earth, Energy and Environmental Sciences, Stanford University, 397 Panama Mall, Mitchell Building 101, Stanford, CA 94305-2210, United States;3. Institute for Computational Modelling in Civil Engineering, Technische Universität Braunschweig, Pockelsstr. 3, Braunschweig 38106, Germany;4. Sandia National Laboratories, PO Box 5800, Albuquerque, NM 87185, United States;5. The Division of Applied Mathematics, Brown University, 182 George St., Providence, RI 02906, United States;6. Department of Petroleum and Geosystems Engineering, University of Texas at Austin, 200 E. Dean Keeton St., Stop C0300, Austin, TX 78712-1585, United States;8. Beijing Computational Science Research Center, Beijing 100094, China |
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Abstract: | We have conducted a series of high-resolution numerical experiments using the Pair-Wise Force Smoothed Particle Hydrodynamics (PF-SPH) multiphase flow model. First, we derived analytical expressions relating parameters in the PF-SPH model to the surface tension and static contact angle. Next, we used the model to study viscous fingering, capillary fingering, and stable displacement of immiscible fluids in porous media for a wide range of capillary numbers and viscosity ratios. We demonstrated that the steady state saturation profiles and the boundaries of viscous fingering, capillary fingering, and stable displacement regions compare favorably with micromodel laboratory experimental results. For a displacing fluid with low viscosity, we observed that the displacement pattern changes from viscous fingering to stable displacement with increasing injection rate. When a high viscosity fluid is injected, transition behavior from capillary fingering to stable displacement occurred as the flow rate was increased. These observations are also in agreement with the results of the micromodel laboratory experiments. |
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Keywords: | Pore-scale model Porous media flow displacement Smoothed particle hydrodynamics Viscous fingering Capillary fingering |
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