We review the basic mathematical concepts of random walk particle tracking (RWPT) and its
advantages and limitations. Three different numerical approaches to overcome the local …

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 …

Stochastic Subsurface Hydrogeology is the study of subsurface, geological heterogeneity,
and its effects on flow and transport process, using probabilistic and geostatistical concepts …

The FEniCS Project set out in 2003 with an idea to automate the solution of mathematical
models based on differential equations. Initially, the FEniCS Project consisted of two …

In certain hydrogeological situations, fluid density variations occur because of changes in
the solute or colloidal concentration, temperature, and pressure of the groundwater. These …

We report the first laboratory simulations of hyporheic exchange in gravel pool‐riffle
channels, which are characterized by coarse sediment, steep slopes, and three …

The random‐walk method for simulating solute transport in porous media is typically based
on the assumption that the velocity and velocity‐dependent dispersion tensor vary smoothly …

Hyporheic exchange is generally analyzed with the assumption of a homogeneous
hyporheic zone. In reality, streambed sediments have a heterogeneous structure, and this …

Probabilistic methods are potentially useful in four stages of a typical project: site
characterization and evaluation, evaluation of designs, decision making, and construction …

The processes of transport, diffusion and transformation of surface oil in seawater can be
simulated using a Lagrangian model formalism coupled with Eulerian circulation models …