...-porosity model) includes the predicted fracture-fracture transmissibility linking two adjacent grid blocks and fracture-matrix transmissibility within each coarse block. The proposed upscaling workflow comprises the train-validation samples generation, convolutional neural network training-validating...

.... We compare our new solver to the standard upstream-mobility-weighting scheme and to a second-order WENO scheme. scaling method Upstream Oil & Gas reservoir simulation Artificial Intelligence Fluid Dynamics Simulation iteration multiphase flow coarse block society of petroleum...

.... scaling method resolution algorithm transmissibility Artificial Intelligence indicator function geologic feature Durlofsky reservoir simulation accuracy partition Upstream Oil & Gas admissible neighbor grid permeability coarse grid coarse block partition vector reduced-order model...

... Upstream Oil & Gas Modeling & Simulation prolongation operator finite-volume method solver fracture møyner flux coarse grid grid møyner multiscale approximation Multiscale Solver partition coarse block discrepancy basis function Multiscale Method operator equation multiscale...

... simulation kerogen reaction rate multiscale model grid permeability heater well thermal conductivity saturation equation coarse block conservation equation where k indicates the permeability tensor (assumed to be diagonal), k rj represents relative permeability for phase j , μ j...

... tolerance scientific computing iteration Multiscale Solver solver injection basis function coarse grid coarse block scaling method Upstream Oil & Gas prolongation operator partition porous media grid spe 10 equation interaction region accuracy msrsb method discretization...

... scaling method node Lunati Cartesian grid category iteration primal coarse grid basis function Modeling & Simulation spe 163649 MsFV method grid permeability coarse grid formulation fine cell neighbor dual grid algorithm pressure solution Multiscale Method coarse block...

... Method spe 163669 porous media Modeling & Simulation multiscale basis function flux solver coarse block formulation permeability equation MsMFE method Upstream Oil & Gas sector model saturation multiscale simulation grid gravity Introduction The flow of hydrocarbons...

... In order to determine the iso-pressure surfaces used to construct the expanded well model, and to compute the required transmissibilities, we solve the global pressure equation: Transmissibilities in the coarse model are computed as follows. Consider two adjacent coarse blocks I and J...

... cut fracture corridor grid Upstream Oil & Gas basis function coarse grid coarse block equation fractured reservoir Modeling & Simulation simulator Multiscale Method solver fracture Introduction Modern reservoir characterization methods and 3D geological modeling...

... that forces a unit flow across the interface between two coarse blocks, meaning that the corresponding basis functions reduce to the lowest-order Raviart-Thomas (RT0) basis functions for the special case of Darcy flow in a homogeneous medium. In the general case, the basis functions account for local...

... are defined according to the local saturation history at a particular coarse block. The three operators have different computational complexity, and they are used adaptively in the course of a simulation run. When properly used, they yield excellent computational efficiency while preserving accuracy...

... permeabilities) for multiple geological realizations. For this purpose, flow-based upscaling calculations are combined with a statistical estimation procedure (cluster analysis). This approach allows us to numerically compute the upscaled two-phase flow functions for only a small portion of the coarse blocks...

... ) · ( ∫ T i W i ( ξ ) d ξ ) − 1 . To ensure a conservative approximation of v on the fine grid, we choose W i = q for coarse blocks containing a well. 20 For coarse blocks where q =0, we scale W i according to the trace of the permeability tensor 25 ; i.e...

... computing fine-scale velocity OBMM compressible flow incompressible flow coarse-scale pressure coarse block Artificial Intelligence compressibility transport equation Multiscale Method Denote fine-scale pressure primal coarse block finite-volume method multiphase flow operator restriction...

... representation wdu method coarse block scaling method permeability spe 10 grid cell boundary condition Introduction During the last decade, 3D object-based geological modelling has become common practice for modelling reservoirs. Numerous discontinuous "geo-units" (channels, shales...