In this paper, the one-dimensional consolidation of a single-layered poroelastic column under the influence of a gravitational field is addressed. Analytical solutions of the model equations are provided for undrained… Click to show full abstract
In this paper, the one-dimensional consolidation of a single-layered poroelastic column under the influence of a gravitational field is addressed. Analytical solutions of the model equations are provided for undrained and drained consolidation stages. Numerical simulations are also employed to confirm the results obtained. Two test cases are analyzed, where quite unexpected behaviors are observed. The results show that depending on the poromechanical properties, the poroelastic layer can expand when the top boundary is opened, thus causing an influx of fluid even in the presence of a compressive external load. In other situations, the fluid phase by itself is able to counteract the external load, thus allowing stress-free regions to be observed in the interior of the poroelastic layer. In this case, the maximum negative displacement is observed not at the top boundary, where the external load is applied, but somewhere below it. Physical interpretations for these phenomena are discussed in detail in accordance with the mathematical predictions. This paper also highlights the importance of having a clear understanding of the underlying physics of the problem, as well as a proper reference solution for assuring reliable numerical results.
               
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