A key ingredient in simulation of ow in porous media is accurate determination of the velocities that drive the ow. Large-scale irregularities of the geology (faults, fractures, and layers) suggest the use of irregular grids in simulation. This paper presents a control-volume mixed nite element method that provides a simple, systematic, easily implemented procedure for obtaining accurate veloci...

In this article, a phenomenological numerical model of bone remodeling is proposed. This model is based on the poroelasticity theory in order to take into account the effects of fluid movements in bone adaptation. Moreover, the proposed remodeling law is based on the classical 'Stanford' law, enriched in order to take into account the loading frequency, through fluid movements. This coupling is...

This paper presents a finite volume discretization of two-phase Darcy flows in discrete fracture networks taking into account the mass exchange between the matrix and the fracture. We consider the asymptotic model for which the fractures are represented as interfaces of codimension one immersed in the matrix domain, leading to the so called hybrid dimensional Darcy flow model. The pressures at ...

Liquid permeability of sedimentary rocks is relevant in several contexts, but gas easier to measure, so liquid typically estimated from via empirical or semiempirical correction procedures. A frequently used and trusted procedure the well-known Klinkenberg correction, which based on pressure dependence permeability. However, gaseous flow-through experiments a series Fontainebleau, Castlegate, B...

The project in memory of anthropologist, writer and politician Darcy Ribeiro is analyzed, with emphasis on the relationship he had with his personal archives and the creation of the Darcy Ribeiro Foundation, established to give continuity to his 'legacy.' It highlights the influences present in the formation of his archive and presents an ethnography that seeks to restore the historicity of the...

This paper presents a two-grid method for solving systems of partial differential equations modelling free flow coupled with porous media flow. This work considers both the coupled Stokes and Darcy as well as the coupled Navier-Stokes and Darcy problems. The numerical schemes proposed are based on combinations of the continuous finite element method and the discontinuous Galerkin method. Numeri...

A BEM numerical model is presented for the flow and solute transport in fractured porous media, which is based on the dual reciprocity method multi domain scheme (DRM-MD). The model solves the 3D flow equation based on the Darcy law in the coupled system of porous media, fracture network and fracture intersections. Unlike the discrete fracture models, which for simplicity use Fick's law in the ...

Water flow in plant tissues takes place in two different physical domains separated by semipermeable membranes: cell insides and cell walls. The assembly of all cell insides and cell walls are termed symplast and apoplast, respectively. Water transport is pressure driven in both, where osmosis plays an essential role in membrane crossing. In this paper, a microscopic model of water flow and tra...

Gas reservoirs with low permeability (k<0.1 mD) are among the unconventional reservoirs and are commonly termed as "Tight Gas Reservoirs". In conventional gas reservoirs that have high permeability, the flow of gas is basically controlled by the reservoir permeability and it is calculated using the Darcy equation. In these reservoirs, gas flow due to gas diffusion is ignored compared to Dar...

Finite-diierence approximations preserving the cosymmetry property for two-dimensional ltration convection problem are presented. Cosymmetry preserving discretizations connrm the predicted behavior of the family of equilibria and degeneration of the family is observed when an inappropriate approximation was used. 1 Planar Darcy convection problem and cosymmetry In recent years several discretiz...