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Simulation of Two Phase flow in 2D Hydrocarbon Reservoirs Using Reduced Order Modeling Based on Proper Orthogonal Decomposition Technique

Goodarzi, Mahdi | 2014

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  1. Type of Document: M.Sc. Thesis
  2. Language: Farsi
  3. Document No: 46175 (08)
  4. University: Sharif University of Technology
  5. Department: Mechanical Enginerring
  6. Advisor(s): Taghizadeh Manzari, Mehrdad; Kazemzadeh Hannani, Siamak
  7. Abstract:
  8. The objective of this thesis is to use proper orthogonal decomposition (POD) method in numerical simulation of a hydrocarbon reservoir to decrease computational time.The algorithm basically consists of two projection steps: (1) projecting the governing equations onto a subspace spanned by a low number of global empirical basis functions extracted from previous time step solutions, and (2) solving the governing equations in this reduced space and projecting the solution back on the original, high dimensional one. After projection of governing equations to new subspace, because of much less dimensions of this subspace, the computational cost of numerical solution of the equations, which mostly spend in an iterative solver, reduces substantially. This method has been used for numerical solution of governing equations of incompressible and immiscible oil-water two phase flow in two dimensional porous media. To solve these equations the implicit pressure explicit saturation (IMPES) method and for discretization and numerical solution of equations, unstructured grid and control volume finite element method (CVFEM) have been used. The method introduced above, has been used to simulate three different two dimensional test cases and in all cases reduction in simulation time was achieved. The magnitude of this reduction was different for different cases and accuracies; About 40 percent for accurate and about 80 percent for approximate solutions was the maximum reduction times. The innovation of this work lies in the use of proper orthogonal decomposition in unstructured meshes as well as the approximate solution procedure presented
  9. Keywords:
  10. Implicit Pressure Explicit Saturation (IMPES) ; Numerical Simulation ; Hydrocarbon Reservoirs ; Control Volume Based Finite Element Method ; Proper Orthogonal Decomposition

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