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Numerical Solution of Three Phase Buckley-Leverett Problem in One-Dimension
, M.Sc. Thesis Sharif University of Technology ; Taghizadeh Manzari, Mehrdad (Supervisor)
Abstract
The solution to the hyperbolic conservation laws may involve discontinuities or shocks even if initial condition is smooth. Devising low cost methods which can identify shocks accurately, has always been a challenge. This project focuses on applying high resolution schemes to the solution of two and three phase Buckley-Leverett equation and hyperbolic conservation laws in general.Buckley-Leverett equation is a transport equation which is used to describe two and three phase flows in porous media. Weighted Essentially Non-Oscillatory (WENO) schemes with reconstruction on fluxes in finite difference formulation are used to solve one dimensional systems of equations including Euler equation as...
Simulation of Gravity Drainage in Oil Reservoirs Using Black-Oil Model
, M.Sc. Thesis Sharif University of Technology ; Taghizadeh Manzari, Mehrdad (Supervisor) ; Kazemzadeh Hannani, Siamak (Supervisor)
Optimization of PARSI Reservoir Simulator and Enhancement in Modeling Capillary Pressure and Gravity Effect
,
M.Sc. Thesis
Sharif University of Technology
;
Taghizadeh Manzari, Mehrdad
(Supervisor)
Abstract
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...
Simulation of multiphase flows in porous media with gravitational effects using dominant wave method
, Article International Journal of Numerical Methods for Heat and Fluid Flow ; Volume 23, Issue 7 , 2013 , Pages 1204-1224 ; 09615539 (ISSN) ; Manzari, M. T ; Hannani, S. K ; Rasouli, A ; Sharif University of Technology
2013
Abstract
Purpose - In this paper, the flow of multiphase fluids in a one-dimensional homogeneous porous media involving the gravity effects is numerically studied using the dominant wave method. The paper aims to discuss these issues. Design/methodology/approach - The numerical scheme used for solving the pressure equations, obtained for the black-oil model, is a backward Euler scheme while the hyperbolic mass conservation equations, derived for both black-oil and Buckley-Leverett models, are solved using the dominant wave method. Higher-order schemes are achieved using either variable derivatives along with the minmod limiter or a MUSCL type interface construction scheme using the Fromm's limiter....