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

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Geomodels. X-component of velocity base functions in 2D. Industrial benchmark in reservoir simulation: 10 th SPE Comparative Solution Project. Multiscale Modelling The rational way of resolving fine scales in challenging industrial problem s. Example: Reservoir simulation. Problem:

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Presentation Transcript
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: [email protected] / +47 22 06 77 10