Geological media exhibit heterogeneities in their hydraulic and chemical properties, which
can lead to enhanced spreading and mixing of the transported species and induce an …

This review provides an overview of concepts and approaches for the quantification of
passive, non-reactive solute mixing in steady uniform porous media flows across scales …

Over the last few decades a number of powerful approaches have been developed to
intelligently reduce the number of degrees of freedom in very complex heterogeneous …

We investigate the temporal scaling properties of mixing in heterogeneous permeability
fields with variances ranging from very small (σlnK2= 0.01) to very large (σlnK2= 9). We …

Breakthrough curves of a conservative tracer in a heterogeneous two‐dimensional aquifer
are analyzed by means of their temporal moments. The average velocity and the …

Chemical reactions may be simulated without regard to local concentrations by applying
simple probabilistic rules of particle interaction and combination. The forward reaction A+ …

Scalar mixing plays a significant role for transport in geophysical flows because it controls
dilution and is a main driver for many chemical reactions. Here we study the local scale flow …

Flow and transport take place in a formation of spatially variable conductivity K (x). The latter
is modeled as a lognormal stationary random space function. With Y= lnK, the structure is …

The heterogeneity of sedimentary aquifers can be characterized by parameters related to
the underlying sedimentary structure such as physical attributes of sediments (eg, volume …

Abstract When Water Resources Research was launched in 1965, heterogeneity,
uncertainty, and scale issues in subsurface hydrology were in the backburner. Only about 10 …