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Optimization of PARSI Reservoir Simulator and Enhancement in Modeling Capillary Pressure and Gravity Effect

Rasooli, Alireza | 2010

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  1. Type of Document: M.Sc. Thesis
  2. Language: Farsi
  3. Document No: 41070 (08)
  4. University: Sharif University of Technology
  5. Department: Mechanical Engineering
  6. Advisor(s): Taghizadeh Manzari, Mehrdad
  7. Abstract:
  8. In this research, a novel scheme for flux approximation in finite volume central schemes have been presented, evaluated and used in PARSI reservoir simulator to solve black oil equations with Trangenstein & Bell formulation with gravitational effects. Also, a numerical method, have been proposed to increase the ability of modeling of capillary phenomena to PARSI.Edward's dominant wave-capturing scheme (2005), with Harten-Hymen entropy fix (1983), has been used to solve flow equations with gravity. This scheme relies on the detection of the dominant wave in the system without recourse to characteristic decomposition and upwinding while avoiding the excessive numerical diffusion that is inherent in the Rusanov and local Lax–Friedrichs fluxes. This scheme is locally conservative with respect to sign change in wave velocity.In this research, series of numerical examples in one dimension have been solved and comparisons with reference reliable solutions show the ability of proposed scheme to solve hyperbolic equations with elliptic terms or non-convex flux functions. The scheme has excellent shock capturing capabilities and can detect expansion and shock waves. Consistency of scheme with Trangenstein & Bell formulation in IMPES (Implicit pressure-Explicit pressure) mode has been proved by solving Trangenstein & Bell problems. Finally, Edward's scheme is employed in PARSI reservoir simulator and two of SPE three-standard problems have been solved by this modified version of software. To model capillary phenomena in PARSI, use of global pressure formulation is suggested. This formulation is applied to existing Trangenstein & Bell matrix formulation and therefore, pressure equation has not changed. Instead, mass conservation equation is dividing into hyperbolic and elliptic parts. To solve hyperbolic part of equation, Edward's dominant wave-capturing scheme is used and elliptic part is solved with common first order central schemes. Results show that, with regard to negligible effect of capillary pressure in standard reservoir simulation problems, the proposed method is an efficient and accurate
  9. Keywords:
  10. Global Pressure ; Capillary Pressure ; PARSI Reservoir Simulator ; Trangenstein & Bell Formulation ; Edwards Dominant Wave Method

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