  Traditional concepts for flow in porous media assume that the heterogeneous
distribution of hydraulic conductivity is the source for the contaminant
temporal and spatial heavy tail, a process known as anomalous or non-Fickian
transport; this anomalous transport behavior can be captured by the $\beta$
parameter in the continues time random walk (CTRW) framework. This study shows
that with the increase in spatial correlation length, between these
heterogeneous distributions of hydraulic conductivities, the anomaly of the
flow reduces, yet the $\beta$ value is unchanged, suggesting that there is a
topological component to the flow field, captured by the $\beta$. This finding
is verified by an analysis of the flow field, showing that the changes in the
conductivity values have little effect on the flow field morphology, which
points to the topological component in the flow.
