HR: 1340h
AN: H23G-1715    [Abstracts]
TI: Continuous Time Random Walks: Spatio-Temporal Coupling and Long Jumps
AU: * Dentz, M
EM: marco.dentz@gmail.com
AF: Technical University of Catalonia (UPC), Modulo D-1, Campus Nord (UPC), 08034, Barcelona,
AU: Berkowitz, B
EM: brian.berkowitz@weizmann.ac.il
AF: Weizmann Institute of Science, Department of Environmental and Enery Research, Rehovot, 76100,
AU: Scher, H
EM: harvey.scher@weizmann.ac.il
AF: Weizmann Institute of Science, Department of Environmental and Enery Research, Rehovot, 76100,
AB: We study continuous time random walks (CTRW) for a fully coupled joint transition length and time distribution ψ(\vs,t) using highly efficient space-time random walk simulations. We study the competition between long jumps and long waiting times and the resulting transport behavior using a model of Levy Walks with a certain velocity v-distribution Φ(ξ), ξ \equiv 1/v. Such models can serve as an effective description of transport in random fracture networks. The spatial and temporal aspects of the transport behavior of these CTRW models is studied in terms of first arrival time distributions and spatial solute distributions and their moments. These results are compared to different forms of the uncoupled case ψ( s,t) = p( s)ψ(t). The advantage of using random walk simulations for coarse-grained heterogeneous media¹ will be shown.
DE: 1832 Groundwater transport
DE: 1847 Modeling
DE: 1869 Stochastic hydrology
SC: Hydrology [H]
MN: 2007 Fall Meeting