HR: 1340h
AN: H53A-1234    [Abstracts]
TI: Modeling Bacteria Transport Using Fractional Derivatives
AU: * Kurita, S
EM: skurita@unr.edu
AF: University of Nevada, Reno, Department of Mathematics and Statistics, Reno, NV 89557 United States
AU: Meerschaert, M
EM: mcubed@unr.edu
AF: University of Nevada, Reno, Department of Physics, Reno, NV 89557 United States
AU: Baeumer, B
EM: bbaeumer@maths.otago.ac.nz
AF: University of Otago, Department of Mathematics and Statistics P.O.Box 56, Dunedin, 9999 New Zealand
AB: Usually contaminant transport through porous media is modeled through the advection-dispersion equation (ADE), while the heterogeneities in the system are modeled stochastically. Unfortunately, stochastic models are computationally intensive. An alternative is to use fractional ADEs, which are capable of capturing the greater variation in particle locations that are seen in various breakthrough curve data. We model bacteria transport through porous media using fractional ADEs, and solve the resulting fractional initial value problem with forcing functions numerically.
DE: 1829 Groundwater hydrology
DE: 1832 Groundwater transport
SC: Hydrology [H]
MN: 2004 AGU Fall Meeting