Site‐Bond Network Modeling of Disordered Porous Media

Abstract

The description of disordered porous media through the Dual Site‐Bond Model (DSBM) is reviewed and updated with the inclusion of new results. After a brief discussion of the DSBM, the percolation properties of networks are studied. These present novel features with respect to classical percolation in non‐correlated networks. These properties are then used in discussing different processes in disordered porous media, namely, invasion percolation and adsorption‐desorption hysteresis. Finally, a method for the characterization of pore size distributions from experimental adsorption‐desorption isotherms is proposed.

Is the Alexander–Orbach Conjecture Suitable for Treating Diffusion in Correlated Percolation Clusters?

“…This behaviour is qualitatively akin to that obtained by other network construction methods based on the DSBM (Cordero et al 2004), i.e. a negligible influence of Ω on the network structure occurs when Ω ≤ 0.5, while a strong effect arises when Ω > 0.5.…”

“…Networks have been used to represent porous media and, in this context, we have notably worked with the DSBM and found interesting behaviours -cf. Cordero et al (2004), for example, and references cited therein.…”

“…an obvious and constant neighbouring relationship between the metric of each site and the metric of any of its corresponding bonds. For instance, in a porous medium, the capillary energy of a site is never larger than the capillary energy of any of its matching bonds (Cordero et al 2004).…”

“…It has now been realized that the network structures of most systems observed in Nature lie midway between being more disordered than regular lattices, although more structured that random graphs (Finnigan 2005). The Dual Site−Bond Model (DSBM) provides an elegant way of modelling the structure of a complex medium (Mayagoitia 1993;Cordero et al 2004). This model produces correlated networks characterized by diverse degrees of correlation among the network elements.…”

Numerical and microfluidic pore networks: Towards designs for directed water transport in GDLs

“…The method of correlation [29,30] has been used to study the large-scale effects of two-phase flow in porous media [31][32][33][34]. These correlated or long-range correlated porous media differ from those employed in this work.…”