HR: 11:20h
AN: H12C-04    [Abstracts]
TI: Some Comments on Nonlocal Transport Models
AU: * Wood, B D
EM: brian.wood@oreongstate.edu
AF: Oregon State University, School of Chemical, Biological, and Environmental Engineering, Corvallis, OR 97331, United States
AB: Nonlocal models have been developed in a variety of contexts for applications to transport in heterogeneous porous media, and can often represent more complex phenomena than can local models. However, this additional capability comes with some cost. Nonlocal models also demand more information, and thus require more effort to use both from the theoretical or applied perspective. In this work, a fully nonlocal development of the macroscale (nonreactive) transport equation for a heterogeneous porous media is presented in the context of volume averaging by upscaling from the microscale. In the most general case, the nonlocal model has nearly as much information content as the original microscale representation. It is not until certain simplifying assumptions are made that the nonlocal model shows a reduction in the number of degrees of freedom over that seen for the microscale model. Implications for nonlocal models, and models that are derivable from the nonlocal formulation, will be discussed.
DE: 1829 Groundwater hydrology
DE: 1832 Groundwater transport
DE: 1835 Hydrogeophysics
DE: 1847 Modeling
DE: 1869 Stochastic hydrology
SC: Hydrology [H]
MN: 2007 Fall Meeting