Abstract
From the poroelastic governing equations, generalized analytical solutions are developed for consolidation that results from instantaneous uniform loading on laterally infinite porous media. Depending on the drainage condition, two different cases are considered in deriving the analytical solutions. The first case is a single-drainage column from which the water drains only through the top surface during consolidation. The second case is a double-drainage column from which the water drains through both top and bottom surfaces during consolidation. The formulation of the analytical solutions is simple and generated without resorting to computationally demanding numerical schemes. The closed-form analytical solutions obtained are more general than Terzaghi’s and Biot’s analytical solutions. These analytical solutions can also be used as tools to validate poroelastic numerical models for simulating groundwater flow in deforming porous geologic media.
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Kim, JM. Generalized poroelastic analytical solutions for pore water pressure change and land subsidence due to surface loading. Geosci J 4, 95–104 (2000). https://doi.org/10.1007/BF02910130
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DOI: https://doi.org/10.1007/BF02910130