This study presents numerical simulation of conservative solute transport
in randomly heterogeneous porous media. Heterogeneity is associated with
the hydraulic conductivity field, which is described by three parameters:
mean [mu]y, variance[sigma]y, and isotropic correlation length [lambda]y, where Y is the
natural logarithm of the hydraulic conductivity. Transport simulations are
performed using a particle tracking random walk (PTRW) method which is
suitable for treating convection and dispersion processes in a computationally
efficient manner. The objectives of this study are three-fold. First, the
correlation structures of the velocity and concentration fields are analyzed as
a function of the predefined [lambda]y Second, the large-scale, spatial effects of
the variable flow field on the developing solute plume are analyzed. Third,
nonergodic effects are investigated.
The numerical results indicate that in most of the performed simulations
nonergodic effects occur. Stochastic theory predictions of longitudinal and
transverse mixing differ from the computational results. These differences
may be caused by the highly anisotropic velocity correlation structure, which
exhibits an apparent hole-effect in the transverse direction,
Morrison, Deane T.; Andricevic, Roko.
Heterogeneity in Hydraulic Conductivity: Its Impact Upon Solute Transport and Correlation Structures.
St. Anthony Falls Hydraulic Laboratory.
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