Multiscale Finite Volume Methods: Extension to Unstructured Grids with Applications in Reservoir Simulation
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
Place, publisher, year, edition, pages
Institutt for matematiske fag , 2012. , 139 p.
ntnudaim:7377, MTFYMA fysikk og matematikk, Industriell matematikk
IdentifiersURN: urn:nbn:no:ntnu:diva-18487Local ID: ntnudaim:7377OAI: oai:DiVA.org:ntnu-18487DiVA: diva2:565975
Holden, Helge, ProfessorLie, Knut-Andreas