Simulation of Two Phase flow in 2D Hydrocarbon Reservoirs Using Reduced Order Modeling Based on Proper Orthogonal Decomposition Technique, M.Sc. Thesis Sharif University of Technology ; Taghizadeh Manzari, Mehrdad (Supervisor) ; Kazemzadeh Hannani, Siamak (Supervisor)
Abstract
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...
Cataloging briefSimulation of Two Phase flow in 2D Hydrocarbon Reservoirs Using Reduced Order Modeling Based on Proper Orthogonal Decomposition Technique, M.Sc. Thesis Sharif University of Technology ; Taghizadeh Manzari, Mehrdad (Supervisor) ; Kazemzadeh Hannani, Siamak (Supervisor)
Abstract
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...
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