HR: 1340h
AN: U43B-1124    [Abstracts]
TI: A new theoretical treatment of dispersion (in absence of diffusion) using percolation theory.
AU: skinner, t e
EM: thomas.skinner@wright.edu
AF: Department of Physics, Wright State University, 3640 Colonel Glenn Hwy, Dayton, OH 45435, United States
AU: * hunt, a g
EM: allen.hunt@wright.edu
AF: Department of Physics, Wright State University, 3640 Colonel Glenn Hwy, Dayton, OH 45435, United States
AB: We argue that in porous media with sufficiently wide pore-size distributions to require use of critical path analysis in upscaling K, the tendency thus for flow to be dominated by the contributions near the percolation threshold makes the tortuosity of random percolation relevant for dispersion. We calculate the distribution of controlling conductance values, g, using cluster statistics of percolation theory. We relate this to a distribution of arrival times, t, by relating t to g. We find the time of transit t along a straight path through the appropriate distribution of pore sizes and then modify using an expression for the tortuosity of the percolation backbone cluster. We find that under certain conditions the distribution of arrival times has a long tail (infinite variance), but under other conditions the variance is finite. We hope to relate these results to relevant experiments.
DE: 1829 Groundwater hydrology
DE: 1869 Stochastic hydrology
SC: Union [U]
MN: 2007 Fall Meeting