Author(s)

Patrick O'Leary, Myron B. Allen, and Frederico Furtado

Abstract

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. 1 Introduction We examine one- dimensional transport of a groundwater contaminant undergoing reversible adsorption according to a linear equilibrium isotherm. For simplicity, we assume that the initial con

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