... of freedom per control-volume. The equivalent general two-dimensional CVD-MPFA scheme that is SPD in physical space is presented in ( Friis et al., 2008 ). Upstream Oil & Gas continuity point pressure solution flux approximation reservoir simulation approximation multi-point flux...

... Upstream Oil & Gas machine learning reservoir simulation Artificial Intelligence accuracy pressure solution Modeling & Simulation discretization vassilevski finite element discretization lawrence livermore national laboratory pressure equation operator complexity freedom coefficient...

... modeling and multiphase flow simulation. With this approach, approximations are introduced to eliminate the need for local or global multiphase flow simulations for the purpose of building coarse-scale displacement tables. Instead, the technique is based on global pressure solutions and velocity fields...

... Abstract Finding a pressure solution for large-scale reservoirs that takes into account fine-scale heterogeneities can be very computationally intensive. One way of reducing the workload is to employ multiscale methods that capture local geological variations using a set of reusable basis...

... preserving a high degree of reliability for simulation results. DNR also allows straightforward reconstruction of fine-scale flow solutions and so can be used as part of a multiscale computational procedure. modeling & simulation permeability value pressure solution boundary upstream oil...

... modeling flow in porous media dual porosity problem society of petroleum engineers pressure solution upstream oil & gas simulation streamline modeling reservoir heterogeneity dual-porosity reservoir fluid dynamics coarse grid reservoir velocity vector reservoir simulation heterogeneity...

... in both methods are systematic. Application of the New Method The new method effectively calculates the uncertainty due to small-scale heterogeneities around a single coarse-grid (upscaled) solution. If this pressure solution is taken from a conventional reservoir simulation, the time required...