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Efficiency Evaluation of R-K Model for Modeling Two-phase Flow in Porous Media Using Lattice Boltzmann Method

Sadeghi, Mohammad | 2014

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  1. Type of Document: M.Sc. Thesis
  2. Language: Farsi
  3. Document No: 45828 (09)
  4. University: Sharif University of Technology
  5. Department: Civil Engineering
  6. Advisor(s): Pak, Ali
  7. Abstract:
  8. Flows in porous media exist in many practical and research fields including water flow in soil, transport of pollution in soil, oil recovery engineering, and etc. Studying the multi-phase flows seems being too complex due to the interactions between fluids or between fluid and media in the porous media, wetting tendency of fluids, intrinsic permeability of the porous media, tortuosity of the flow’s path and etc. Hence, the field and laboratory studies of multi-phase flows is difficult, if not impossible. While numerical methods can handle many of these complexities, many of them are unable to simulate the micro-scale flows. On contrary, Lattice Boltzmann has no such shortcomings and even is able to simulate liquid-gas flows in the porous media.
    In this dissertation, we used the chromodynamics model to provide a software in pore-scale that is able to model two-phase flows in the porous media. This software is written in C++ using its object-oriented features. Compared to other two-phase Lattice Boltzmann methods, the chromodynamics model handles liquid-gas density ratio order of 1000 and viscosity ratio order of 100. Other distinctive characteristics of the proposed model are high instability, great and independent window of parameters, and lower computation cost. In spite of these benefits, the chromodynamics model suffers from modelling wetting tendency of the fluids. We proposed a novel approach to address this shortcoming and validated its accuracy by simulating several case studies. The simulation results show that the provided software can analyze and study the role of micro-scale phenomenon involved in immiscible two-phase flow with water-air density and viscosity ratio orders. Although this software has limited to simulate two dimensional problems and has some computation cost, it can be used to analyze the fluid phenomenon in practical and engineering problems
  9. Keywords:
  10. Two-Fluid Flow ; Two Phase Flow ; Welting ; Contact Angle ; Lattice Boltzmann Method ; Rothmann-Keller Model ; Chromodynamics Model ; Nabla Operator Isotropic Discretization

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