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2D Compositional Simulation of Reservoirs using Finite Volume Method

Abdollahzadeh, Soleiman | 2019

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  1. Type of Document: M.Sc. Thesis
  2. Language: Farsi
  3. Document No: 51671 (06)
  4. University: Sharif University of Technology
  5. Department: Chemical and Petroleum Engineering
  6. Advisor(s): Pishvaie, Mahmoud Reza; Fatemi, Mobin
  7. Abstract:
  8. One of the main purposes of this project is to propose an efficient and stable algorithm of a semi-discretized formulation for compositional simulation of oil reservoirs. In this algorithm, all the equations including both mass balances and equilibrium equations are solved simultaneously. The gradient terms are discretized by the Finite Volume Method (FVM). The resulting Differential Algebraic Equation, the so-called DAE, are solved by MATLAB functions. Another novel technique developed, handles each block equations set, separately. In this block-by-block scheme, there are two set of equations; the primary (mass balance) and secondary (equilibrium) equations. In the primary ones, the gradient terms are discretized by FVM, hence, being converted to ODE set. In the secondary ones, the equilibrium equations are solved by newtonian flash method. This ‘’block-by-block’’ procedure allows the simulator to solve a constant number of unknown quantities, regardless of the total number of grid blocks. Simulink of MATLAB has been used to solve the block equations independently. The compatibility and susceptibility to parallelization is another great feature of this new scheme. The obtained results of two proposed algorithm, namely ‘’global’’ and ‘’block-by-block’’, show excellent and exact agreement with each other
  9. Keywords:
  10. Compositional Simulation ; Finite Volume Method ; Equilibrium Calculations ; Differential-Algebraic Equations ; Simulation of Oil Tanks

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