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Compositional Simulation of CO2 Injection Process by Using Higher Order Finite Element Methods

Shakourifar, Nima | 2018

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  1. Type of Document: M.Sc. Thesis
  2. Language: Farsi
  3. Document No: 50497 (06)
  4. University: Sharif University of Technology
  5. Department: Chemical and Petroleum Engineering
  6. Advisor(s): Pishvaie, Mahmmoud Reza
  7. Abstract:
  8. In most of the commercial and academic multiphase flow simulators, the numerical method in use is based on finite difference methods which can lead the solution toward numerical dispersions or even oscillations. These methods are very sensitive to the size of computational grid blocks. Even if we change the numerical method from finite difference to linear finite element (hFEM), still there will be such problems and size of grid blocks will be crucial in getting proper results which can lead to millions of computational grid blocks. One way to deal with this problem is using nonlinear finite element methods (pFEM) also known as higher-order finite element methods, Also compositional simulation can bring challenges like phase stability tests, phase equilibrium calculations and choosing right formulation considering important variables in the process which is being simulated. In this research equations and algorithms for simulating the fluid flow of a two-phase system through a two-dimensional porous media are discussed and results of solving governing equations by using different orders of finite element methods are compared to each other
  9. Keywords:
  10. Miscible Injection ; Mathematical Modeling ; Porous Media ; Compositional Simulation ; Numerical Solution ; Nonlinear Finite Element Method ; Higher Order Finite Element Method

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