A model for determining the permeability of fractural porous media based on the double percolation model is presented. The results are close to that by fractural permeability tensor model. The non-uniformity of the permeability and the pore pressure are investigated by parameter study. It is shown that rocks could be divided into “pore-controlling” permeability and “fracture-controlling” permea...

The purpose of the present article is to review recent advances made in the determination and calculation of improved bounds on the effective properties of random heterogeneous media that depend upon the microstructure via n-point correlation functions. New breakthroughs made in the quantitative characterization of the microstructure of heterogeneous materials are also reviewed. The following f...

We study the anisotropic properties of multilayer fishnet optical metamaterials and describe topological transitions between the elliptic and hyperbolic dispersion regimes. In contrast to other hyperbolic media, multilayer fishnet metamaterials may have negative components not only in the effective permittivity tensor but also in the effective permeability tensor, thus allowing the realization ...

Based on a direct generalization of a proof given by Torquato for symmetry property in static regime, this express letter clarifies the reasons why the dynamic permeability tensor is symmetric for spatially periodic structures having symmetrical axes which do not coincide with orthogonal pairs being perpendicular to the axis of three-, four-, and sixfold symmetry. This somewhat nonintuitive pro...

1. Introduction It has been theoretically shown that backward waves can be supported not only by double-negative materials with simultaneous negative permittivity and permeability [1] but also by uniaxial anisotropic single-negative slabs with a negative component of permittivity or permeability tensor [2]. The uniaxial anisotropic single-negative materials are potentially advantageous in row l...

Eigenvalue equations and expressions of EM fields for volume modes in an anisotropic single-negative slab with tensor material parameters is presented. By the comparison with the eigenvalue equation of surface modes along single-negative slab with negative scalar permeability, the validity of the present study is confirmed. We have also made clear which elements of the material parameter tensor...

The simulation of flow and transport phenomena in fractured media is a challenging problem. Despite existing advances in computer capabilities, the fact that fractures can occur over a wide range of scales within porous media compromises the development of detailed flow simulations. Current discrete approaches are limited to systems that contain a small number of fractures. Alternatively, conti...

The problems of steady film condensation on a vertical surface embedded in a thin porous medium with anisotropic permeability filled with pure saturated vapour are studied analytically by using the Brinkman-Darcy flow model. The principal axes of anisotropic permeability are oriented in a direction that non-coincident with the gravity force. On the basis of the flow permeability tensor due to t...

1359-835X/$ see front matter 2009 Elsevier Ltd. doi:10.1016/j.compositesa.2009.04.009 * Corresponding author. Tel.: +1 506 452 6128; fax E-mail address: [email protected] (A. Nabovati). Fluid flow analyses for porous media are of great importance in a wide range of industrial applications including, but not limited to, resin transfer moulding, filter analysis, transport of underground water and...