Yalchin Efendiev (Texas A&M University) : Multiscale model reduction for flows in high-contrast heterogeneous media and applications.
Wednesday, 27.10.2010 16:15 im Raum M4
The development of numerical algorithms for modeling flow processes in large-scale
highly heterogeneous formations is very challenging because the properties of natural geologic
porous formations (e.g., permeability) display high variability levels and complex spatial correlation
structures, which span a rich hierarchy of length scales. Thus, it is usually necessary to resolve a
wide range of length and time scales in order to obtain accurate predictions of the flow, mechanical
deformation, and transport processes under investigation. In practice, however, some type of
coarsening (or upscaling) of the detailed model is usually performed before the model
can be used to simulate complex displacement processes. Many approaches have been developed
and applied successfully when a scale separation adequately describes the spatial variability of
the subsurface properties (e.g., permeability) that have bounded variations. The quality of these
approaches deteriorates for complex heterogeneities, especially when the contrast in the media
properties is large, e.g., in the case of fractured porous media. In this talk, I will describe
multiscale model reduction techniques that can be used in upscaling flow equations as well as in domain decomposition methods when media properties have high contrast and are spatially heterogeneous.
Numerical results will be presented that show that one can improve the accuracy of multiscale methods and obtain contrast-independent preconditioners.
Angelegt am Thursday, 23.09.2010 22:35 von Mario Ohlberger
Geändert am Monday, 25.10.2010 08:57 von Mario Ohlberger
[Edit | Vorlage]