Recent studies have shown that fractional Brownian motion (fBm) and fractional Gaussian
noise (fGn) are useful in characterizing subsurface heterogeneities in addition to …

A governing equation of stable random walks is developed in one dimension. This Fokker‐
Planck equation is similar to, and contains as a subset, the second‐order advection …

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

The macrodispersion experiments (MADE) at the Columbus Air Force Base in Mississippi
were conducted in a highly heterogeneous aquifer that violates the basic assumptions of …

Saturated hydraulic conductivity (Ks) is an important soil hydraulic property that affects water
flow and the transport of dissolved solutes. Obtaining sufficient and reliable Ks data for large …

The concept of a universal multifractal, a generalization of a monofractal, is a recently
developed scaling model for natural phenomena characterized by irregularity. Presented …

The evolution of the surface topography of a calcite crystal subject to dissolution is
documented through in situ real-time imaging obtained via atomic force microscopy (AFM) …

Simulation of subsurface heterogeneity is important for modeling subsurface flow and
transport processes. Previous studies have indicated that subsurface property variations can …

A two-dimensional model for colloid transport in geochemically and physically
heterogeneous porous media is presented. The model considers patchwise geochemical …

Fluid flow and solute transport in the subsurface are known to be strongly influenced by the
heterogeneity of aquifers. To simulate aquifer properties, such as logarithmic hydraulic …