HR: 0830h
AN: H21D-0854    [PDF]
TI: Limit Theorems and Their Relation to Solute Transport in Simulated Fractured Media
AU: * Reeves, D M
EM: mreeves@dri.edu
AF: Desert Research Institute, 2215 Raggio Parkway, Reno, NV 89512 United States
AU: Benson, D A
EM: dbenson@dri.edu
AF: Desert Research Institute, 2215 Raggio Parkway, Reno, NV 89512 United States
AU: Meerschaert, M M
EM: mcubed@unr.edu
AF: University of Nevada, Reno, University of Nevada, Reno Department of Mathematics and Statistics (084), Reno, NV 89557 United States
AB: Solute particles that travel through fracture networks are subject to wide velocity variations along a restricted set of directions. This may result in super-Fickian dispersion along a few primary scaling directions. The fractional advection-dispersion equation (FADE), a modification of the original advection-dispersion equation in which a fractional derivative replaces the integer-order dispersion term, has the ability to model rapid, non-Gaussian solute transport. The FADE assumes that solute particle motions converge to either $\alpha$-stable or operator stable densities, which are modeled by spatial fractional derivatives. In multiple dimensions, the multi-fractional dispersion derivative dictates the order and weight of differentiation in all directions, which correspond to the statistics of large particle motions in all directions. This study numerically investigates the presence of super- Fickian solute transport through simulated two-dimensional fracture networks. An ensemble of networks is gen
DE: 1829 Groundwater hydrology
DE: 1832 Groundwater transport
DE: 1869 Stochastic processes
DE: 5104 Fracture and flow
SC: Hydrology [H]
MN: 2003 Fall Meeting