... delaunay triangulation convergence machine learning upstream oil & gas discretization tpfa transmissibility truncation error artificial intelligence fluid dynamics voronoi grid grid quality measure strata local approximation permeability grid flow in porous media approximation spe...

... acute triangulations, while satisfying quite general geometric constraints. For well aligned grids control points are constrained to the well trajectory and protection circles are used, whereas for boundary aligned grids halo construction is performed. Unstructured Delaunay triangulations (DT) have...

... edwards quad face halo construction mesh triangle Artificial Intelligence Upstream Oil & Gas delaunay triangulation steiner point boundary grid generation geological feature construction star-shaped polyhedron formulation tetrahedron grid Introduction General reservoir...

... of the grids. reservoir simulation spurious oscillation oscillation algorithm Artificial Intelligence Fluid Dynamics delaunay triangulation m-matrix condition Upstream Oil & Gas approximation discrete maximum principle pressure field flow in porous media delaunay criterion anisotropy...

... Intelligence reservoir simulation hydraulic fracturing node complex reservoir delaunay triangulation fracture network eikonal equation unstructured grid fluid flow equation force-equilibrium algorithm equation Modeling & Simulation Upstream Oil & Gas diffusive time Voronoï cell...

... are compared. The advantages of unstructured approach in complex field-scale simulation are demonstrated. complex reservoir delaunay triangulation unconstrained delaunay triangulation condensate reservoir Priority Index fault grid point Modeling & Simulation Upstream Oil & Gas grid cell...

... are developed for the grids presented providing a unique comparison and insight into performance. Artificial Intelligence Fluid Dynamics edwards boundary Upstream Oil & Gas delaunay triangulation primal flow in porous media triangulation flow field reservoir simulation approximation mesh...

... between simulation time steps to reflect changes in boundary conditions. flow in porous media fluid dynamics flow simulation artificial intelligence upstream oil & gas facet cartesian grid velocity field scaling method reservoir simulation delaunay triangulation single phase flow...

... reservoir properties. We present recently developed techniques for adaptively constrained 2.5D Voronoi grid generation and for generic global flow-based scale-up. Our novel gridding approach is based on a new constrained Delaunay triangulation algorithm and a rigorous procedure of constructing a Voronoi...

... and is essential for the result of the simulation. A new approach for the simulation of faulted hydrocarbon reservoirs is proposed. The described algorithm iteratively generates a constrained Voronoi grid suitable for two-point flux approximation schemes. The algorithm is based on a Delaunay triangulation...