HR: 08:35h
AN: H51K-02 INVITED     [Abstracts]
TI: Dispersion Revisited: Generalized Hydrodynamics, Renormalization, Fractional Equations and the CTRW
AU: * Cushman, j h
EM: jcushman@purdue.edu
AF: Purdue University, Earth & Atmospheric Science 550 Stadium Mall Drive Purdue University , West Lafayette, IN 47907-2051 United States
AU: park, m
EM: mpark@purdue.edu
AF: Purdue University, Earth & Atmospheric Science 550 Stadium Mall Drive Purdue University , West Lafayette, IN 47907-2051 United States
AU: kleinfelter, n
EM: nkleinfe@math.purdue.edu
AF: Purdue University, Earth & Atmospheric Science 550 Stadium Mall Drive Purdue University , West Lafayette, IN 47907-2051 United States
AU: moroni, m
EM: monica.moroni@uniroma1.it
AF: University La Sapienza, Department of Hydraulics, Transports and Roads, Rome, 00184 Italy
AB: Over forty five years ago Zwanzig presented a wave-vector and frequency dependent Fickian type law for diffusion that in real space is convolution Fickian. Some twenty five years later our group used his basic ideas to derive a nonlocal dispersion theory for flows in porous media with evolving heterogeneity. Under appropriate conditions this latter theory can be shown to reduce to the fractional Fokker-Planck equation for Levy dispersion, the master equation for most CTRW schemes, and it can be used to test for the transition to the classical Fickian limit. We will review this model and show its relation to recent renormalization schemes for microbial dynamics in fractal media and to models of turbulent diffusion.
DE: 0465 Microbiology: ecology, physiology and genomics (4840)
DE: 1719 Hydrology
DE: 1831 Groundwater quality
DE: 1832 Groundwater transport
SC: Hydrology [H]
MN: Fall Meeting 2005