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Comparison of dual Porosity-Dual Permeability Models in 2D Two-Phase Immiscible Flows under Gravitational Effect

Kohanpur, Amir Hossein | 2013

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  1. Type of Document: M.Sc. Thesis
  2. Language: Farsi
  3. Document No: 44945 (08)
  4. University: Sharif University of Technology
  5. Department: Mechanical Engineering
  6. Advisor(s): Taghizadeh Manzari, Mehrdad; Kazemzadeh Hannani, Siamak
  7. Abstract:
  8. Physics of the present work is 2D two-phase immiscible flow under gravitational effect through fractured porous media and the most practical formulas for transfer function in dual porosity-dual permeability models have been implemented for numerical simulation of naturally fractured reservoir. The models are: Kazemi et al. (1976), Gilman (1986), Sonier et al. (1988), Quandalle and Sabathier (1989), Lim and Aziz (1995), and Rangel-German and Kovscek (2006), which are compared using a benchmark problem and the effects of gravity, capillary, number of matrix block subdomains and dual continuum media model are studied. The benchmark problem was adopted from Gilman (1986) and involves water injection into a naturally fractured reservoir with 10 matrix blocks. In comparison of the models, parameters such as cumulative oil production, distribution of saturations in matrix and fractures, and computational time of numerical solution are investigated. A finite volume method along with the so-called IMPES algorithm is used for solving the governing equations. The time-steps are variable in the IMPES algorithm while pressures in matrix and fractures are calculated implicitly at each time-step and saturations are calculated explicitly. Boundary conditions of the reservoir are no-flow and wells are modeled based on Peaceman model. According to the results of the present work, differences and similarities of the models are determined, weaknesses of each model are illustrated and suitable models for handling gravitational effects are recommended
  9. Keywords:
  10. Transfer Function ; Two Phase Flow ; Naturally Fractured Reservoir ; Dual Porosity-Dual Permeability Model

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