Multiscale Modelling The rational way of resolving fine scales in challenging industrial problem s

1. Geomodels X-component of velocity base functions in 2D Industrial benchmark in reservoir simulation: 10th SPE Comparative Solution Project Multiscale ModellingThe rational way of resolving fine scales in challenging industrial problems Example: Reservoir simulation Problem: • physical problems often involve many scales • details on all scalesimpact large-scale behaviour of the system In industry – homogenisation/upscaling: • fine-scale represented as effective parameters on coarse grids • not always sufficiently robust • bottleneck in the workflow Our approach – multiscale simulation • mixed multiscale finite element methods • subscale information incorporated through base functions computed numerically on local subgrid • global system solved on coarse grid • natural scalability and parallelism • very flexible with respect to geometry of grid-blocks Upscaled permeabilities Multiscale solution • Strategic Institute Project: • GeoScale: Establish a mathematical and numerical technology • that facilitates reservoir simulation on full-scale 3D geomodels. • 2004-2007, 12 million NOK • Partners: SINTEF and UiB • Collaboration with two national Centres of Excellence (CMA, Oslo and CIPR, Bergen), Statoil, and Schlumberger • http://www.math.sintef.no/GeoScale/ • Contact: Knut-Andreas.Lie@sintef.no / +47 22 06 77 10