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Compositional Simulation of Reservoirs Using Finite Element Method

Mehrnia, Mohammad | 2019

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  1. Type of Document: M.Sc. Thesis
  2. Language: Farsi
  3. Document No: 51729 (06)
  4. University: Sharif University of Technology
  5. Department: Chemical and Petroleum Engineering
  6. Advisor(s): Pishvaie, Mahmoud Reza; Mobin, Fatemi
  7. Abstract:
  8. One of the main purposes of this study is to present a robust and yet efficient semi-discretized algorithm for compositional simulation. All the equations including both the mass balance and the phase equilibrium equations are solved simultaneously which forms a Differential-Algebraic set of Equations and is solved by utilizing an efficient MATLAB solver. Furthermore, another formulation and algorithm is proposed which is consisted of two sets of equations, the primary equations (differential mass balance equations) and the secondary equations (the algebraic phase equilibrium equations). The gradient terms in the primary equations are discretized by using finite element method (Galerkin variant). Another purpose of this study is to develop a new simulation method in which each block is handled separately and is in contact only with its adjacent blocks. This method is called “block-by-block’’, and it allows the simulator to solve only 2nc+2 equation at any given time step, regardless of the total number of grid blocks. It also enables the simulator to use modern computational methods like cloud computing and parallelization, hence the hardware (both the processor and the storage units) limitation which is encountered in the simulation of huge reservoirs would be solved. The results of this new method completely matches with that of the simultaneous solution. Similarly, the “element-by-element” method for the finite element discretization is proposed
  9. Keywords:
  10. Compositional Simulation ; Galerkin Finite Element Method ; Differential-Algebraic Equations ; Block to Block Interaction

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