Bottom-up model of adsorption and transport in multiscale porous media

Bottom-up model of adsorption and transport in multiscale porous media.

We develop a model of transport in multiscale porous media which accounts for adsorption in the different porosity scales. This model employs statistical mechanics to upscale molecular simulation and describe adsorption and transport at larger time and length scales. Using atom-scale simulations, which capture the changes in adsorption and transport with temperature, pressure, pore size, etc., ...

Multiscale Flow and Transport in Porous Media

Numerical Upscaled Model of Transport in Multiscale Porous Media

We study numerically a new model describing the multiscale flow of a single-phase incompressible fluid and transport of a dissolved chemical by advection and diffusion through a heterogeneous porous medium without the usual assumptions of scale separation. The new model includes as special cases the classical homogenized model as well as the double porosity models, but it is characterized by th...

Multiscale Multiphysic Mixed Geomechanical Model for Deformable Porous Media Considering the Effects of Surrounding Area

Porous media of hydro-carbon reservoirs is influenced from several scales. Effective scales of fluid phases and solid phase are different. To reduce calculations in simulating porous hydro-carbon reservoirs, each physical phenomenon should be assisted in the range of its effective scale. The simulating with fine scale in a multiple physics hydro-carbon media exceeds the current computational ca...

Multiscale Model Reduction Methods for Flow in Heterogeneous Porous Media

In this paper we provide a general framework for model reduction methods applied to fluid flow in porous media. Using reduced basis and numerical homogenization techniques we show that the complexity of the numerical approximation of Stokes flow in heterogeneous media can be drastically reduced. The use of such a computational framework is illustrated at several model problems such as two and t...