The influence of the degree of saturation on dynamic response of a cylindrical lined cavity in a nearly saturated medium |
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| Institution: | 1. KU Leuven, University of Leuven, Department of Microbiology and Immunology, Rega Institute for Medical Research, Clinical and Epidemiological Virology, Herestraat 49, box 1040, 3000 Leuven, Belgium;2. Artificial Intelligence Lab, Vrije Universiteit Brussel, Pleinlaan 2, 1050 Brussels, Belgium;3. Department of Experimental Medicine and Surgery, University of Rome “Tor Vergata”, Rome, Italy;4. Institute of Microbiology and Immunology, Faculty of Medicine, University of Ljubljana, Ljubljana, Slovenia;5. University Hospitals Leuven, Department of Hepatology, Herestraat 49, 3000 Leuven, Belgium;6. Center for Global Health and Tropical Medicine, Microbiology Unit, Institute for Hygiene and Tropical Medicine, University Nova de Lisboa, Rua da Junqueira 100, 1349-008 Lisbon, Portugal |
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| Abstract: | In most previous studies on the dynamic response of a long cylindrical cavity subjected to internal transient dynamic loads, the porous medium was usually assumed to be completely saturated by ground water. In practice, however, the full saturation condition does not always exist. In this paper the surrounding soil and the lining of the cavity are respectively treated as a nearly saturated porous medium and an elastic material, and the governing equations for the dynamic problem are derived. A set of exact solutions are obtained in the Laplace transform domain for three types of transient loads, i.e. suddenly applied constant load, gradually applied step load and triangular pulse load. By utilizing a reliable numerical method of inverse Laplace transforms, the time-domain solutions are then presented. The influence of the degree of saturation of the surrounding soil on the dynamic response of the lined cavity is examined for numerical examples. |
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| Keywords: | Nearly saturated soil Lined cavity Dynamic response Degree of saturation Laplace transform Inverse Laplace transform |
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