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Uncertainty Quantification of Two Phase Immiscible Water Oil Flow

Mahmoudi, Mehrdad | 2016

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  1. Type of Document: M.Sc. Thesis
  2. Language: Farsi
  3. Document No: 49567 (08)
  4. University: Sharif University of Technology
  5. Department: Mechanical Engineering
  6. Advisor(s): Taghizadeh Manzari, Mehrdad
  7. Abstract:
  8. In this project، the immiscible two phase flow of oil-water in the absence of gravity in the two dimensional domain is investigated. The uncertainty quantification of pressure and saturation of fluid in the reservoir are calculated by the methods of statistical moment equation (presented by Tchelepi) and probabilistic collocation method combined with Karhunen Loeve expansion (presented by Heng Lee). Then the results are compared with Monte Carlo simulation. Matlab Reservoir Simulation Toolbox is used for flow simulation. The main problem based on Tchelepi’s work[56[ ، is a horizontal two dimensional problem that there is two injection and production wells at the two end point grids (a quarter five spot reservoir configuration). Logarithm of permeability distribution is the stochastic parameter in the problem. In the statistical moment equation approach، the low-order approximations of the mass conservation equations is employed to derive the statistical moment equations of the first two moments (i.e.، mean، variance، and covariance) of the dependent variables (pressure، saturation، and production rate). Pressure and transport equations are solved with finite volume and finite difference methods، respectively. Finally the accuracy of the three methods of calculating the uncertainty is evaluated by comparison of the results
  9. Keywords:
  10. Two Phase Flow ; Uncertainty ; Monte Carlo Simulation ; Karhunen-Loeve Decomposition ; Statistical Moment Equations

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