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Pore-Scale Numerical Simulation of Two-phase Flows in Periodic Porous Media Using SPH

Fatehi, Rouhollah | 2011

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  1. Type of Document: Ph.D. Dissertation
  2. Language: Farsi
  3. Document No: 41415 (08)
  4. University: Sharif University of Technology
  5. Department: Mechanical Engineering
  6. Advisor(s): Taghizadeh Manzari, Mehrdad
  7. Abstract:
  8. Study of two-phase flowin porous media forms a basis for investigating various fluid systemsin the nature and industries. In recent years, more and more researchers use pore-scale mod-els to explore various physical phenomena occurring in complex media such as hydrocarbonreservoirs. After solving the flow equations in pore-scale, this approach can be utilized tocalculate some macroscopic values using particular forms of averaged flow field.In this research, Smoothed Particle Hydrodynamics (SPH) is used to simulate two-phaseflow in pore spaces of two- and three-dimensional porous media. The SPH method is a La-grangian meshless method that is suitable for flows with free surfaces, deformable boundaries,and moving interfaces.After a brief introduction to the SPH method, a number of discretization schemes are in-vestigated and their truncation errors are examined using a theoretical analysis based on Taylorseries expansion for both regular and irregular particle distributions. Based on this analysis,a new first-order consistent scheme is presented for approximating second derivatives. Then,the numerical algorithm used for incompressible flow solver, the treatment of boundary con-ditions, and the method used for incorporating surface tension and contact angle effects areelaborated.To assess the computational performance and validity of the results of the proposed SPH method some benchmark problems including single- and two-phase flows and some basicpore-scale phenomena in porous media are simulated and the results are verified using avail-able data in literature. Finally, the relative permeability and interfacial surface area per porevolume, for the processes of primary drainage and imbibition of a two-phase flow, are evalu-ated. Numerical results are presented for both two-dimensional domains with circular grainsand a three-dimensional medium formed by regularly arranged spherical grains
  9. Keywords:
  10. Two Phase Flow ; Surface Tension ; Smoothed Particle Hydrodynamics (SPH) ; Relative Permeability ; Pore-Scale Model ; Periodic Porous Media

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