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Monte Carlo Simulations of Non-Ergodic Solute Transport in Random Porous Media

Author(s): Youkuan Zhang; Jie Lin

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Keywords: No Keywords

Abstract: Monte carlo simulations of transport of a non-ergodic solute plume by steadystate groundwater flow with a uniform mean velocity, μ, were performed in a two-dimensional heterogeneous aquifer whose transmissivity, T, is log-normally distributed with an isotropic exponential covariance. The averages of the second spatial moments of a plume about its center of mass, , and the plume centroid covariance. R_ (i) (t) (i=1.2), were simulated for the variance of log T, σ_Y~2=0.1. 0.5 and 1.0 and line sources normal to μ of three dimensionless lengths. The simulated longitudinal moments, -S_ (1) (0) and R_ (1) (t) (thus their summation X_ (11)) agree well with the first-order theoretical results but the simulated transverse moments -S_ (22) (0) and R_ (2) (t) (thus X_ (2)) are significantly larger than the first-order values, especially for σ_Y~2=0.5 and 1.0.

DOI:

Year: 1997

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