HR: 0800h
AN: H51F-0420    [Abstracts]
TI: Exact Effective Transport Dynamics under Spatially Random Adsorption
AU: * Dentz, M
EM: marco.dentz@upc.edu
AF: Department of Geotechnical Engineering and Geosciences, Technical University of Catalonia (UPC), Campus Nord, Modulo D--2, c/ Jordi Girona 1--3, Barcelona, 08034 Spain
AU: Berkowitz, B
EM: brian.berkowitz@weizmann.ac.il
AF: Department of Environmental Sciences and Energy Research, Weizmann Institute of Science, Rehovot, 76100 Israel
AB: We report on effective transport under linear equilibrium adsorption, which is characterized by a spatially random retardation factor. We present a methodology to quantify explicitly the impact of spatial disorder on effective transport dynamics within a stochastic framework. An exact effective transport equation can be derived, which describes transport under linear kinetic adsorption characterized by a spectrum of adsorption times. The distribution of adsorption times is given explicitly in terms of the spatial disorder distribution. The derived effective transport equation is formally equivalent to a decoupled continuous time random walk. The explicit nature of the derived results allows for the first time a mapping of the static disorder distribution on the transition time distribution.
DE: 1832 Groundwater transport
DE: 1847 Modeling
DE: 1869 Stochastic hydrology
SC: Hydrology [H]
MN: Fall Meeting 2005