Upscaling, relaxation and reversibility of dispersive flow in stratified porous media

Upscaling and reversibility of Taylor dispersion in heterogeneous porous media.

Tracer flow in stratified porous media is dominated by the interaction between convective transport and transverse diffusive mixing. By averaging the tracer concentration in the transverse direction, a one-dimensional non-Fickian dispersion model is derived. The model accounts for the relaxation process that reduces the convective transport to dispersive mixing. This process is (short-) time co...

Multilevel Upscaling in Heterogeneous Porous Media

The multiscale structure of heterogeneous porous media prevents a straightforward numerical treatment of the underlying mathematical ow models. In particular, fully resolved ow simulations are intractable and yet the ne-scale structure of a porous medium may signiicantly innuence the coarse-scale properties of the solution (e.g., average ow rates). Consequently, homogenization or upscaling proc...

Radiation in Porous Media: an Upscaling Methodology

The radiative properties of any porous medium are statistically defined by a cumulated extinction distribution function, a cumulated absorption probability and a bidirectional phase function. These functions are obtained by a Monte Carlo technique, from both the medium morphology data, known or issued from a X or γ ray tomography, and the radiative properties at a scale lower than the tomograph...

Exact Upscaling of Transport in Porous Media and Its Applications

In this work I consider the exact upscaling of the transport in layered porous media. Some applications of the upscaled equation is discussed.

Modeling Hysteresis in Porous Media Flow via Relaxation