... (iWENO) scheme for the saturation equation of two-phase flow in porous media in two space dimensions with a single rock type. The pressure equaton will be solved using a mixed finite element method. The saturation equation is a degenerate parabolic equation, meaning that the capillary diffusion term...

... The system of partial differential equations is weakly coupled and solved using the implicit-pressure, explicit-saturation (IMPES) in the matrix. An implicit formulation is used for solving the pressure equation. An explicit discretisation of the saturation equation is employed in the matrix...

... Abstract In this paper, we propose a full finite volume approach to simulate two-phase flows of oil and water in heterogeneous and anisotropic petroleum reservoirs in 2-D. The IMPES procedure is used to solve the coupling between the pressure and the saturation equations. The eliptic pressure...

... is also extended to handle more physical effects ( Krogstad et al. 2009 ). Modeling & Simulation constraint Artificial Intelligence Upstream Oil & Gas saturation equation saturation grid Computation coarse saturation grid optimization problem aarne adjoint equation scaling method...

..., the saturation equations are solved on the fine scale. With the efficiency in dealing with the flow equations greatly improved by multiscale formulations, solving the saturation equations on the fine scale becomes the relatively more expensive part. In this paper, we describe an adaptive multiscale finite-volume...

... model fourier analysis compressibility upstream oil & gas general stability criteria criteria formulation equation of state fluid dynamics saturation equation phase pressure black-oil model phase saturation Introduction Several formulations of the simulation equations have been...

... grid, are used to calculate the coarse scale transmissibilities. The fine scale pressure field is computed from the coarse grid pressure via superposition of the dual basis functions. Having a locally conservative fine scale velocity field is essential for accurate solution of the saturation equations...

... condition pressure equation convection-diffusion model calculation representation oil cut durlofsky reservoir simulation scaling method scale model subgrid term fluid dynamics flow in porous media displacement saturation equation reservoir characterization mobility permeability correction...

... equation force balance equation finite element method pressure equation permeability oscillation fcm hughes reservoir geomechanics upstream oil & gas modeling & simulation mass balance equation formulation saturation equation pressure oscillation fluid dynamics artificial...

..., and that there is no communication among streamlines, so that the 3D saturation equation is decomposed into a set of one-dimensional problems. It takes advantage of the fact that the pressure varies slowly compared to saturation and therefore needs to be updated after several steps in the saturation equation. The decoupling...

... of the IMPES pressure equation, then a solution of coupled saturation equations. Since the pressure solution is for a single unknown at each gridblock, it requires less work than solving fully implicit equations. Since the set of saturation equations does not have the elliptic nature of the pressure equation...

... flow in porous media dotted line saturation reservoir simulation reference solution grid model fine grid solution coarse grid compressible flow fluid dynamics saturation equation petroleum engineer society coupling spe 51904 sequential method equation ingebrigtsen simulator...

... is solved by a multigrid solver and each subdomain problem can be solved with a range of simple iterative or direct methods depending on time, space or robustness considerations. The saturation equation is solved by splitting the equation into one hyperbolic saturation equation and one elliptic saturation...

... saturation equation upstream oil & gas connection machine spe 25274 society of petroleum engineers artificial intelligence emmanuel piault petroleum engineer unconditionnally stable computer equation parallel computer processor united states government Introduction Since numerical...