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Fracture Reservoir Simulation Using Finite Element Method with Logarithmic Shape Functions

Qaseminejad Raeini, Ali | 2009

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  1. Type of Document: M.Sc. Thesis
  2. Language: Farsi
  3. Document No: 39056 (06)
  4. University: Sharif University of Technology
  5. Department: Chemical and Petroleum Engineering
  6. Advisor(s): Massihi, Mohsen; Shojaei, Akbar
  7. Abstract:
  8. Oil reservoir simulation serves an important role in forecasting oil production. This forecast, in turn, helps to devise a production scheme for hydrocarbon reservoirs which is one of main objectives of reservoir management team. In this research, using the idea of logarithmic distribution of reservoir fluid pressure around a wellbore, a new method for simulation of naturally fractured reservoir is developed. This method is shown to be more fast and accurate than conventional methods in reservoir simulation. In this method Dual-Porosity formulation is used for description of fluid flow in fractured reservoirs. The governing equations then were discretized by Galerkin Finite element method in a logarithmic space. The discretization of the differential Equations in the logarithmic space leads to a logarithmic approximation of pressure as a function of distance to the wellbore. Since this logarithmic approximation of pressure is consistent with the actual behavior of the pressure in the reservoir, this method will lead to great enhancement in accuracy of simulation results. The above method was deployed in an object oriented programming environment by use of deal.II finite element libraries and was used for simulation of several synthetic models. Comparison of simulation results with analytical solution and the finite difference method for a cylindrical reservoir shows the superiority of logarithmic finite element method over conventional methods in reservoir simulation. Results of simulation of fractured reservoirs also show the great accuracy of this method
  9. Keywords:
  10. Finite Element Method ; Simulation of Oil Tanks ; Fractured Reservoirs ; Dual Porosity Model

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