Tuesday, June 17

2:00 PM-2:45 PM
Rio Grande Ballroom Chair: Thomas F. Russell, University of Colorado, Denver

On the Significance of Effective Properties in Flow and Transport in Heterogeneous Porous Formations

It is common to model flow and transport in heterogeneous formations by replacing the medium by a homogeneous one of effective properties (conductivity, dispersion coefficient). Such an approach is justified by the large ratio that prevails in many applications between the scales characterizing the domain, the mean flow nonuniformity and the plume size on one hand, and the heterogeneity scale on the other. In contrast, in the case of natural porous formations (aquifers, petroleum reservoirs) the heterogeneity scale may be of the same order, or even larger than other scales.

The speaker will discuss the limitations of the concept of effective properties, regarded as a limit case of upscaled properties. Subsequently, he will recall alternative approaches to modeling mean nonuniform and unsteady flows, as well as flow in formations of evolving scales, and review the approach to modeling transport under nonergodic conditions.

Gedeon Dagan
Faculty of Engineering, Tel Aviv University, Israel

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