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Axisymmetric consolidation of a poroelastic soil layer with a compressible fluid constituent due to groundwater drawdown |
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| Institution: | 1. Department of Mathematics, University of California, Box 951555, Los Angeles, CA 90095-1555, USA;2. Department of Mechanical and Aerospace Engineering, Jacobs School of Engineering and Scripps Institution of Oceanography, UCSD, 9500 Gilman Drive, La Jolla, CA 92093-0411, USA;3. Institute of Environmental Engineering, National Chiao Tung University, 1001 University Road, Hsinchu 30010, Taiwan |
| Abstract: | Axisymmetric consolidation of a poroelastic soil layer with a compressible fluid constituent induced by groundwater drawdown was studied based on Biot’s axisymmetric consolidation theory. Laplace and Hankel transforms were employed to solve the governing equation. Explicit analytical solutions are obtained in the Laplace–Hankel transform domain when groundwater drawdown is induced by a constant pumping well. Based on the solutions, numerical computations were performed to study the influences of the compressibility of the fluid constituent on the consolidation behavior of the soil layer. |
| Keywords: | Axisymmetric consolidation Groundwater drawdown Compressibility of fluid Laplace–Hankel transform Analytical solution |
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