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Multiscale Finite-Volume Simulation of Multi Phase Flow in Heterogeneous Porous Media

Karimyan, Erfan | 2010

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  1. Type of Document: M.Sc. Thesis
  2. Language: Farsi
  3. Document No: 40972 (06)
  4. University: Sharif University of Technology
  5. Department: Chemical and Petroleum Engineering
  6. Advisor(s): Pishvaie, Mahmood Reza; Taghizadeh Manzari, Mehrdad
  7. Abstract:
  8. Multi-Scale finite volume (MSFV) method have been developed and applied for multiphase flow in porous media. The most important advantage of MSFV method is its computational efficiency. In this thesis we apply and implement this method to porous media simulation. Then, computational parameters such as coarsening ratio, effect of threshold on adaptive computation and different boundary conditions for computing basis functions are investigated. The two difficulties of sMSFV method are problems with high permeability contrast and problems with high course grid aspect ratio which are considered. In standard MSFV (sMSFV) method reduced boundary condition is used to determine the basis and correction functions which are based on local information. These local functions are effective in many cases, however are not satisfactory for some cases. It seems that capturing nonlocal heterogeneity in calculation of local basis functions leads to more accurate results. In this thesis we present a new set of boundary condition for calculation of basis and correction functions which leads to further reduction in computational time in problems with medium heterogeneity and therefore improves computational efficiency. In modified MSFV (mMSFV) method global information is used at initial time for constructing boundary condition which is needed for computing basis functions. The main idea of the method is to use global initial pressure distribution to determine the boundary condition for the basis and correction functions. We present results for several challenging test cases. In most of these numerical experiments more accurate results obtained in comparison with the original MSFV.

  9. Keywords:
  10. Oil Tanks ; Heterogeneous Porous Media ; Simulation ; Multiphase Flow ; Multiscale Finite Volume Method ; Basis Function ; Correction Function

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