Hydromechanical Modeling of Unsaturated Flow in Double Porosity Media

Modeling flow in porous media with double porosity/permeability: Mathematical model, properties, and analytical solutions

Geo-materials such as vuggy carbonates are known to exhibit multiple spatial scales. A common manifestation of spatial scales is the presence of (at least) two different scales of pores, which is commonly referred to as double porosity. To complicate things, the pore-network at each scale exhibits different permeability, and these networks are connected through fissure and conduits. Although so...

Modelling of Water Flow and Solute Transport in Double Porosity Unsaturated Media: Theory, Two-scale Computations and Experiments

“Multi-scale, multi-components, multi-phases” are the key words that characterize the double porosity media, like fissured rocks, aggregated soils or composite geomaterials, subject to environmental conditions. In relation to this context an integrated upscaling approach to the modelling of water flow and solute transport under unsaturated conditions in double porosity media, is presented. The ...

Tortuosity-porosity relation in porous media flow.

We study numerically the tortuosity-porosity relation in a microscopic model of a porous medium arranged as a collection of freely overlapping squares. It is demonstrated that the finite-size, slow relaxation and discretization errors, which were ignored in previous studies, may cause significant underestimation of tortuosity. The simple tortuosity calculation method proposed here eliminates th...

A Fully Coupled THM Double Porosity Formulation for Unsaturated Soils

Modeling flow in porous media with double porosity/permeability: A stabilized mixed formulation, error analysis, and numerical solutions

Understanding the flow of incompressible fluids through porous media plays a crucial role in many technological applications such as enhanced oil recovery and geological carbon-dioxide sequestration. Several natural and synthetic porous materials exhibit multiple pore-networks, and the classical Darcy equations are not adequate to describe the flow of fluids in these porous materials. Mathemati...