18 June 2013
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Groundwater Transport with Stochastic Retardation: Numerical Results

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...

Pages: 7
Size: 550 kb
Paper DOI: 10.2495/CMWR980321

 

 

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This paper can be found in the following book

Computer Methods in Water Resources XII Vol 1

Computer Methods in Water Resources XII Vol 1

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