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Development of a Surrogate Simulator for Heterogeneous Reservoirs Using Trajectory Piecewise Linearization (TPWL) Method

Ansari, Esmail | 2011

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  1. Type of Document: M.Sc. Thesis
  2. Language: Farsi
  3. Document No: 42306 (06)
  4. University: Shairf University of Technology
  5. Department: Chemical and Petroleum Engineering
  6. Advisor(s): Pishvaie, Mahmoud Reza; Bozorgmehri, Ramin
  7. Abstract:
  8. Reduced-order modeling (ROM) is a novel approach in all realms of computational science including reservoir simulation. Among various ROM methods, Trajectory Piecewise Linearization (TPWL) is on its evolution for reservoir applications. Previous investigations reflect promising future for incorporating TPWL into the next generations of enhanced reservoir simulators. In this work, we employ TPWL to investigate the claimed efficiency, robustness and accuracy of this method as a surrogate simulator for a developed reservoir simulator. The self construction of the used simulator gives us the opportunity to explore this method and to examine previous assertions on the subject. The efficiency of TPWL is primarily due to direct calculation of new saturation and pressure states using a linearized expansion around previously simulated states instead of traditionally solving the flow equations. For further efficiency and reduction of the required memory, TPWL method has to accompany a space reducing scheme, through which the captured dynamic of the reservoir is projected into a lower-order space. The projection matrix is conventionally constructed through proper orthogonal decomposition (POD) of converged time stepping solutions known as 'snapshots' which are obtained during a serious of preprocessing runs called 'training' runs
  9. Keywords:
  10. Model Reduction ; Singular Value Decomposition (SVD) ; Proper Orthogonal Decomposition ; Reduced Order Model ; Two Phase Flow ; Trajectory Piecewise Linearization (TPWL) ; Reservoir Numerical Simulation

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