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Analytical Modeling of Oil Production from a Matrix Block by Free Fall Gravity Drainage

Ghorbani Zadeh, Salman | 2011

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  1. Type of Document: M.Sc. Thesis
  2. Language: Farsi
  3. Document No: 41721 (06)
  4. University: Sharif University of Technology
  5. Department: Chemical and Petroleum Engineering
  6. Advisor(s): Masihi, Mohsen; Ghazanfari, Mohammad Hossein; Kharrat, Reyaz
  7. Abstract:
  8. Free fall gravity drainage is one of the most effective mechanisms of producing the oil from the matrix blocks in the gas invaded zone of the naturally fractured reservoirs. Although several analytical models have been proposed to characterize this mechanism in a matrix block, but these models suffer from the practical or theoretical viewpoints. In this study, a new analytical model was presented to predict the oil production rate versus time from a homogeneous matrix block under free fall gravity drainage mechanism. The model was developed by considering the balance between involved forces in the gas-oil gravity drainage process. By simplifying the equation derived from the momentum balance, a differential equation was obtained. To develop new analytical model, the obtained differential equation was analytically solved by using the Lambert W function. The prediction of derived model was tested against the results of numerical analysis and conventional simulation as well as experimental data in the core and micromodel scale. The validation results show that the model predictions match with the data sets excellently
  9. Keywords:
  10. Matrix Block ; Fractured Reservoirs ; Naturally Fracture ; Analytical Modeling ; Gas Invaded Zone

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