Geostatistics as a subfield of statistics accounts for the spatial correlations encountered in
many applications of, for example, earth sciences. Valuable information can be extracted …

The presence of solute concentration fluctuations at spatial scales much below the scale of
resolution is a major challenge for modeling reactive transport in porous media. Overlooking …

We study the mixing dynamics of a solute that is transported by advection and dispersion in
a heterogeneous Darcy scale porous medium. We quantify mixing and dynamic uncertainty …

The influence of hydraulic conductivity on the movement of flow and nonreactive solute
transport through aquifers was evaluated. Several different log-normal probability …

This book presents, in an accessible and self-consistent way, the theory of diffusion in
random velocity fields, together with robust numerical simulation approaches. The focus is …

Reactive transport in saturated/unsaturated porous media is numerically upscaled to the
space–time scale of a hypothetical measurement through coarse-grained space–time …

Concentration time series are provided by simulated concentrations of a nonreactive solute
transported in groundwater, integrated over the transverse direction of a two-dimensional …

The aim of this book is to provide an accessible and self-consistent theory of diffusion in
random velocity fields together with robust numerical simulation approaches. The focus is on …

In this chapter, relations between model, scale, and measurement will be discussed. A
particular attention will be paid to the perspective of using spatio-temporal upscaling to bring …

Beyond mean and variance, traditionally used in stochastic approaches, the full one-point
one-time concentration probability density function (PDF) is needed to estimate exceedance …