We consider computational modeling of flow with small and large velocities at
porescale and at corescale, and we address various challenges in simulation, upscaling, and modeling.
While our focus is on voxel-based data sets from real porous media imaging, our methodology is
verified first on synthetic geometries, and we analyze...
Double-diffusion model is used to simulate slightly compressible fluid flow in periodic porous media as a macro-model in place of the original highly heterogeneous micro-model. In this paper, we formulate an adaptive two-grid numerical finite element discretization of the double-diffusion system and perform a comparison between the micro- and macro-model....
An upscaled elliptic-parabolic system of partial differential equations
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 is developed without the usual assumptions of scale
separation. After a review of homogenization results for the traditional...
This paper is included in the Proceedings, Part 1, of the International Conference on Computational Science 2009 (ICCS 2009) held in Baton Rouge, LA, USA, May 25-27, 2009.
The ability to evaluate the effective permeability of proppant packs is useful in predicting the efficiency of hydraulic fracture installations. In this paper we propose a computational approach combining microimaging data from X-ray computed microtomography, the simulations of flow at pore-scale, and an upscaling process which identifies the effective model...
In this paper, we consider an upscaled 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. Unlike traditional homogenization or volume averaging techniques, we do not assume a good separation of scales. The new...