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Multiscale Finite Volume Methods: Extension to Unstructured Grids with Applications in Reservoir Simulation
Norwegian University of Science and Technology, Faculty of Information Technology, Mathematics and Electrical Engineering, Department of Mathematical Sciences.
2012 (English)MasteroppgaveStudent thesis
Abstract [en]

In reservoir simulations, one of the biggest challenges is solving large models with complex geological properties. Because reservoirs can be several kilome- ters long, and still be geologically inhomogeneous over centimeters, the com- putational power required to solve a full set of mass balance equations can be immense. Several methods for overcoming this challenge has been proposed, including various upscaling and multiscale methods. One of these approaches is the Multiscale Finite Volume (MsFV) method, which aims to create a set of basis functions for the pressure which can be computed in parallel and reused for different boundary conditions. This thesis aims to give a thorough study of the MsFV-method itself, before extending it to three dimensional, unstructured grids. An implementation was done as a module for the MATLAB Reservoir Simulation Toolbox developed by SINTEF Applied Mathematics. A new variant of the method designed to overcome some of the computational challenges arising from an extension to 3D was also formulated. The implementation was then applied to both synthetic and realistic grids and permeabilities, and compared against a full two point flux approximation (TPFA) solver.

Place, publisher, year, edition, pages
Institutt for matematiske fag , 2012. , 139 p.
Keyword [no]
ntnudaim:7377, MTFYMA fysikk og matematikk, Industriell matematikk
URN: urn:nbn:no:ntnu:diva-18487Local ID: ntnudaim:7377OAI: diva2:565975
Available from: 2012-11-08 Created: 2012-11-08

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