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A reduced basis Darcy-Stokes finite element heterogeneous multiscale method (RB-DS-FE-HMM) is proposed for the Stokes problem in porous media. The multiscale method is based on the Darcy-Stokes finite element heterogeneous multiscale method (DS-FE-HMM) int ...
Let Omega be a bounded domain of R-N (N >= 2). We obtain a necessary and a sufficient condition, expressed in terms of capacities, for the existence of a solution to the porous medium equation with absorption {u(t) - Delta (vertical bar u vertical bar(m-1) ...
Permeability is an overarching mechanical parameter encompassing the effects of porosity, pore size, and interconnectivity of porous structures. This parameter directly influences transport of soluble particles and indirectly regulates fluid pressure and v ...
A large fraction (47%) of the world’s uranium is mined by a technique called “In Situ Recovery”. This mining technique involves the injection of a leaching fluid (acid or alkaline) into a uranium-bearing aquifer and the pumping of the resulting solution th ...
This paper presents a dynamic fully coupled formulation for saturated and unsaturated soils that undergo large deformations based on material point method. Governing equations are applied to porous material while considering it as a continuum in which the ...
CO2 storage in deep aquifers, which is considered one of the most viable technologies, is delivering on its promise of limiting the greenhouse effect. Nevertheless, deep aquifers may experience significant deformation and geomechanical instabilities, such ...
Atomic layer deposition (ALD) is unsurpassed in its ability to create thin conformal coatings over very rough and/or porous materials. Yet although the coating thickness on flat surfaces can be measured by ellipsometry, characterization of these coatings o ...
The fundamentals of flow in the liquid composite moulding (LCM) processes are reviewed with an emphasis on multiphase flow effects considering the dual-scale thin porous media constituted by the textiles, and the dynamic wetting effects observed with visco ...
CO2 sequestration in deep geological formations is considered as a promising technology to reduce the impact of CO2 on the greenhouse effect. Practically, large-volume of CO2 could be injected into a system that consists of a highly porous host reservoir c ...
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 heterog ...
