The spatial distribution of a scalar undergoing advection and diffusion is impacted by the
velocity variability sampled by tracer particles. In spatially structured velocity fields, such as …

Correlated velocity models (CVMs) have proven themselves to be effective tools for
describing a wide range of solute transport behaviors in heterogeneous porous media. In …

Fluid-solid reactions play a key role in a large range of biogeochemical processes.
Transport limitations at the pore scale limit the amount of solute available for reaction, so that …

Understanding fate and transport within fluvial systems requires accurate modeling of
breakthrough curve (BTC) tails, which often display non‐Fickian behaviors. However, it is …

In this study, we present a general random walk model for upscaling colloid transport and
retention in two-dimensional porous media. The model is based on direct sampling from …

Space-Lagrangian random walk models conceptualize advective transport in terms of
collections of particles undergoing fixed-length steps along flow streamlines. The statistics …

Concentration fields of solutes in porous media often exhibit large fluctuations, driven by
physical and chemical heterogeneity from the pore to the Darcy scale. For many …

The spatial distribution of reactants in heterogeneous media plays a central role in chemical
reactions, which, as contact processes, depend on mixing. For fast reactions, diffusion is …