Geology is ubiquitously heterogeneous, exhibiting both discrete and continuous spatial
variations on a multiplicity of scales. It is therefore natural to expect that hydrogeologic and …

Modern measurement techniques have shown that property distributions in natural porous
and fractured media appear highly irregular and nonstationary in a spatial statistical sense …

Hydrogeological variables of a groundwater system, for example, the hydraulic head and
contaminant concentration, vary with space and time. The variability is due to spatial …

Subsurface fluid flow and solute transport take place in a multiscale heterogeneous
environment. Neither these phenomena nor their host environment can be observed or …

Abstract Systems dominated by heterogeneity over a multiplicity of scales, like porous
media, still challenge our modeling efforts. The presence of disparate length-and time …

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 …

Abstract Anomalous (or “non‐Fickian”) transport is ubiquitous in the context of tracer
migration in geological formations. We quantitatively identify the origin of anomalous …

We consider the effect of measuring randomly varying hydraulic conductivitiesK (x) on one's
ability to predict numerically, without resorting to either Monte Carlo simulation or upscaling …

This paper presents a nonlocal, derivative free model for transient flow in unsaturated,
heterogeneous, and anisotropic soils. The formulation is based on the peridynamic model …

Water and solute flux from the subsurface drains of macroporous agricultural fields are
simulated using two-dimensional single-porosity and dual-porosity models. Field-averaged …