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

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 …

Flow takes place in a heterogeneous formation of spatially variable conductivity, which is
modeled as a stationary space random function. To model the variability at the regional …

Dispersion is the result, observable on large length scales, of events which are random on
small length scales. When the length scale on which the randomness operates is not small …

We develop a multi-length-scale (multifractal) theory for the effect of rock heterogeneity on
the growth of the mixing layer of the flow of a passive tracer through porous media. The …

We show that the effective diffusivity matrix D (V n) for the heat operator∂ t−(Δ/2−∇ V n∇) in
a periodic potential V n= Σ math image U k (x/R k) obtained as a superposition of Hölder …

In this paper, Gaussian models of retarded and accelerated anomalous diffusion are
considered. Stochastic differential equations of fractional order driven by single or multiple …

Stochastic partial differential equations model random events in physical systems. In this
paper we are concerned with multiple length scale, not necessarily self similar, random …

We present a new analysis for Corrsin's hypothesis. We show this hypothesis is the leading
term contribution in a renormalization group perturbation expansion. We present the exact …

Solute transport in natural formations at the regional scale is influenced by several scales of
heterogeneity which correspond to the presence of several geological units called facies. As …