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A Finite Volume Method for Simulation of 2D Two-Phase Flow in Porous Medium with Anisotropic PermeabilityTensor on Unstructured Cell CenterTriangular Grid

Moosavi, Abbas | 2013

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  1. Type of Document: M.Sc. Thesis
  2. Language: Farsi
  3. Document No: 45591 (08)
  4. University: Sharif University of Technology
  5. Department: Mechanical Engineering
  6. Advisor(s): Taghi Zadeh Manzari, Mehrdad; Kazemzadeh Hannani, Siamak
  7. Abstract:
  8. Rapid variation in permeability with strong anisotropy are common features in subsurface reservoirs. When formulating a finite-volume pressure equation scheme, continuous normal flux and pressure are key physical constraints that must be imposed at control-volume interfaces, across which strong discontinuities in permeability can occur.
    The derivation of algebraic flux continuity conditions for full-tensor discretization operators has lead to families of efficient locally conservative flux-continuous control-volume distributed (CVD) finite- volume schemes for determining the discrete pressure and elocity fields in subsurface reservoirs [5, 9, 11, 13].
    When applying these earlier point-wise flux-continuous schemes to strongly anisotropic full-tensor fields their failure to satisfy a maximum principle (as with other FEM and finite-volume methods) can result in loss of local stability for high anisotropy ratios which can cause strong spurious oscillations in the numerical pressure solution.
    one of the recent methods which as been developed for descritization of flux equations in anisotropic prouse media is FPS(Full Pressure support). FPS scheme is classified by the quadrature parameterization 0 < q 1, where focus has been on a scheme that belongs to the above mentioned family with (q = 1). This new formulation leads to a more robust quasi-positive family of flux-continuous schemes applicable to general discontinuous full-tensor fields.
    in this thesis we developed a finite volume cell center formulation on unstructured mesh for incompressible two phase flow in anisotropic prouse medium using this new FPS scheme (with q = 1).
  9. Keywords:
  10. Simulation of Oil Tanks ; Finite Volume Method ; Unstructured Grid ; Anisotropy ; Implicit Pressure Explicit Saturation (IMPES) ; Incompressible Two Phase Flow

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