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Abstract Based on a concise mechanical model of two-phase discontinuous media such as saturated soil，a new expression of effective stress was derived. In the expression，the distribution of total stress depends on the porosity n and the coefficient of pore pressure's transfer ?(?∈[0，1]). The new expression was then applied to Biot theory. Consolidation of a columnar sample was analyzed with FEM software Abaqus and solutions of pore pressure and displacement were obtained. The results from the new equations were compared with those from original Biot theory. From the permeability data in relevant literatures，values of ? of clays in a reasonable range of 0.32–0.54 were obtained. With the same modulus and coefficient of permeability，the consolidation process speeds up as n and ? decrease and Mandel-Cryer effect becomes more significant. When n = ? = 0，the consolidation process becomes instantaneous. A transition is presented from the consolidation behavior of porous media to that of continuum mechanics. The consolidation theory of the two-phase discontinuous medium bridges the traditional consolidation theory and the elastic theory；the confirming the rationality of the mechanical model of two-phase discontinuous medium indirectly.
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Received: 28 May 2013
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2014, Vol. 33 
