HR: 0800h
AN: H51F-0438    [Abstracts]
TI: Concentration Profiles Versus Breakthrough Curves: Differences in Fractional Dispersion Equations
AU: * Baeumer, B
EM: bbaeumer@maths.otago.ac.nz
AF: University of Otago, Department of Mathematics & Statistics, Dunedin, 0000 New Zealand
AU: Meerschaert, M M
EM: mcubed@maths.otago.ac.nz
AF: University of Otago, Department of Mathematics & Statistics, Dunedin, 0000 New Zealand
AB: A concentration profile describes the concentration in space at a fixed point in time. It is tempting to compute the breakthrough curve by using the concentration profile; fixing the point in space and letting time evolve. However, this is not appropriate in the case of fractional transport and dispersion or any case where the tracer is thought to be able to find different velocity pathways through any given block of soil. We demonstrate the difference of above approach to the first arrival distributions for all the different regimes in the fractional advection and dispersion equation (fractional in time, space, as well as coupled).
DE: 1829 Groundwater hydrology
DE: 4468 Probability distributions, heavy and fat-tailed (3265)
DE: 4475 Scaling: spatial and temporal (1872, 3270, 4277)
SC: Hydrology [H]
MN: Fall Meeting 2005