Author(s): Patrick O'Leary, Myron B. Allen, and Frederico Furtado
We examine the advection-diffusion equation with stochastic retardation
governed by a random field R(x).
For spatially uncorrelated retardation
fields, Monte Carlo simulations indicate that spreading of the mean plume
increases with standard deviation O-R.
In this case, a perturbation-based
"effective equation" predicts an average plume that agrees with the Monte
Carlo simulations when O-R is not too large.
When spatial correlation is
significant, the effective equation is a nonlocal integrodifferential equation,
and efficient numerical solution is problematic.
We examine one- dimensional transport of a groundwater contaminant
undergoing reversible adsorption according to a linear equilibrium
For simplicity, we assume that the initial con...
Size: 550 kb
Paper DOI: 10.2495/CMWR980321
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