Effects of an impermeable wall in dissipative dynamics of saturated porous media |
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Affiliation: | 1. Centre for Research in Biotechnology for Agriculture, University of Malaya, 50603 Kuala Lumpur, Malaysia;2. School of Bio Sciences and Technology, VIT University, 632014 Vellore, Tamil Nadu, India;3. Institute of Biological Sciences, Faculty of Science, University of Malaya, 50603 Kuala Lumpur, Malaysia |
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Abstract: | A phase transition model for porous media in consolidation is studied. The model is able to describe the phenomenon of fluid-segregation during the consolidation process, i.e., the coexistence of two phases differing on fluid content inside the porous medium under static load. Considering pure Darcy dissipation, the dynamics is described by a Cahn–Hilliard-like system of partial differential equations (PDE). The goal is to study the dynamics of the formation of stationary fluid-rich bubbles. The evolution of the strain and fluid density profiles of the porous medium is analysed in two physical situations: fluid free to flow through the boundaries of the medium and fluid flow prevented at one of the two boundaries. Moreover, an analytic result on the position of the interface between the two phases is provided. |
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Keywords: | Porous media Interfaces Propagation of interfaces |
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