One-dimensional consolidation of unsaturated soil deposit with various initial conditions

Publication Type:
Conference Proceeding
Geotechnical Special Publication, 2014, (236 GSP), pp. 145 - 155
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This study presents a novel analytical solution for one-dimensional (1-D) consolidation for unsaturated soils using the Eigen function expansion method to solve inhomogeneous governing equations of air and water phases. Eigen functions and eigen values are parts of the general solution and can be obtained based on the proposed boundary condition. Additionally, the Laplace transform method is adopted to solve the first-order differential equations. Once all equations with transformed domain are obtained, the final solutions, which are proposed to be functions of time and depth, can be achieved by taking an inverse Laplace transform. The mathematical procedure accentuates a non-uniform initial condition in which initial excess pore pressures are linearly decreasing with depth. Dimensionless parameters a and w that control the gradients of distributions of initial excess pore-air and pore-water pressures, respectively, are introduced in this paper. A worked example is provided to investigate effects of a and w on the consolidation behaviour of unsaturated soils. © 2014 American Society of Civil Engineers.
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