Elastic properties of porous media in the vicinity of the percolation limit

Abstract

A new approach to calculation of the elastic bulk modulus of low consolidated porous media in the vicinity of the percolation limit under dry and saturated conditions is developed based on a physical consolidation model of rocks and the classical contact theory developed by H. Hertz in 1882. The derived analytical relationships for the elastic bulk modulus, which take into account the structural architecture of packing, are compared with theoretical predictions from popular micromechanic theories, Hashin-Shtrikman strict bounds as well as with experimental results available for low consolidated granular materials. The latter comparison demonstrates a good agreement under both dry and water saturated conditions. © 2011 Elsevier B.V.