Upscaling for unsaturated flow for non-Gaussian heterogeneous porous media

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...

Recent Advances of Upscaling Methods for the Simulation of Flow Transport through Heterogeneous Porous Media

We review some of our recent efforts in developing upscaling methods for simulating the flow transport through heterogeneous porous media. In particular, the steady flow transport through highly heterogeneous porous media driven by extraction wells and the flow transport through unsaturated porous media will be considered. Mathematics subject classification: 65F10, 65F30.

Numerical Model for Saturated-Unsaturated Flow in Deformable Porous Media

An integrated finite difference algorithm is presented for numerically solving the governing equation of saturated-unsaturated flow in deformable porous media. In recognition that stability of the explicit equation is a local phenomenon a mixed explicit-implicit procedure is used for marching in the time domain. In this scheme the explicit changes in potential are first computed for all element...

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...

Upscaling of Well Singularities in the Flow Transport through Heterogeneous Porous Media