Dynamics of flowing air in partially water‐saturated, porous geological formations are
governed by a wide range of forces and parameters. These dynamics are reviewed in the …

Reactive chemical transport plays a key role in geological media across scales, from pore
scale to aquifer scale. Systems can be altered by changes in solution chemistry and a wide …

We study the nature of non‐Fickian particle transport in 3‐D porous media by simulating
fluid flow in the intricate pore space of real rock. We solve the full Navier‐Stokes equations …

Random walk (RW) methods are recurring Monte Carlo methods used to model convective
and diffusive transport in complex heterogeneous media. Many applications can be found …

Flow channelization is a commonly observed phenomenon in fractured subsurface media
where the flow of fluids is restricted primarily to highly transmissive fracture networks …

We develop a continuous time random walk (CTRW) approach for the evolution of
Lagrangian velocities in steady heterogeneous flows based on a stochastic relaxation …

We investigate transport on regular fracture networks that are characterized by
heterogeneity in hydraulic conductivity. We discuss the impact of conductivity heterogeneity …

For an effectively one-dimensional, semi-infinite disordered system connected to a reservoir
of tracer particles kept at constant concentration, we provide the dynamics of the …

Brownian motion is a ubiquitous physical phenomenon across the sciences. After its
discovery by Brown and intensive study since the first half of the 20th century, many different …

We present a framework for systems in which diffusion-advection transport of a tracer
substance in a mobile zone is interrupted by trap** in an immobile zone. Our model …