A Suite of Analytical Solutions for Free Strain Consolidation of Soft Soil Reinforced by Stone Columns
- Publication Type:
- Thesis
- Issue Date:
- 2020
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This thesis provides novel analytical solutions for consolidation and deformation of stone column reinforced soft soil under vertical free strain condition. The mathematical formulations are integrated with coupled horizontal – vertical flows of excess pore water pressure in stone column and soft soil regions with orthotropic permeability for each region, space- and time-dependent loadings. For associated consolidation – deformation analysis, the mathematical derivations adopt settlement pattern for the composite ground suggested by an existing study in the literature. The method of separation of variables in conjunction with eigenfunction expansion technique, Green’s formula and Green’s function method are employed to derive analytical solutions in the thesis. The obtained analytical solutions can capture the variations of excess pore water pressure and settlement at any point in the composite stone column – soft ground against consolidation time. Thus, differential settlements in the composite ground can also be captured readily. Several worked examples and parametric analyses utilising the achieved analytical solutions are conducted thoroughly. The verifications of the obtained analytical solutions in this thesis against finite element simulations and field measurements show reasonable agreements, which validate the capability of attained analytical solutions.
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