Wave-induced dynamic response of saturated multi-layer porous media: Analytical solutions and validity regions of various formulations in non-dimensional parametric space |
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| Institution: | 1. College of Electronics and Information Engineering, Nanjing Tech University, Nanjing 210009, China;2. Key Laboratory of Modern Acoustics of MOE, Nanjing University, Nanjing 210093, China;3. International Associated Laboratory LEMAC/LICS: IEMN, UMR CNRS 8520, PRES Lille Nord de France, ECLille, Villeneuve d’Ascq, France;1. School of Civil Eng., College of Engineering, University of Tehran, P.O. Box 11165-4563, Tehran, Iran;2. Dept. of Civil Engrg., Mazandaran University of Science and Technology, P.O. Box 47166-85635, Babol, Iran;3. Department of Civil, Environmental and Architectural Engineering, University of Colorado, Boulder, CO 80309-0428, USA;1. State Key Laboratory of Hydrology-Water Resources and Hydraulic Engineering, Hohai University, Nanjing 210098, China;2. College of Harbor, Coastal and Offshore Engineering, Hohai University, Nanjing 210098, China;3. Griffith School of Engineering, Griffith University, Gold Coast Campus, QLD 4222, Australia;4. Department of Civil Engineering, State Key Laboratory of Ocean Engineering, Shanghai Jiao Tong University, Shanghai 200240, China;5. Faculty of Architectural Civil Engineering and Environment, Ningbo University, Ningbo 315211, China;1. Key Laboratory of Building Safety and Energy Efficience of Ministry of Education, College of Civil Engineering, Hunan University, Changsha, Hunan, 410082, China;2. Faculty of Engineering, Zhejiang Institute, China University of Geosciences, Wuhan, Hubei, 430074, China;1. Key Laboratory of Urban Security and Disaster Engineering, Ministry of Education, Beijing University of Technology, Beijing, 100124, China;2. College of Civil Engineering, Fuzhou University, Fuzhou, 350108, China |
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| Abstract: | In this paper, dynamic response of saturated-layered porous media under harmonic waves is evaluated through a semi-analytical solution. The coupled differential equations governing the dynamics of saturated or nearly saturated porous media such as soils containing all the inertial terms of solid and fluid phases are presented for a multi-layer system. Possible simplifications of the equations which are called formulations are introduced based upon the presence of inertial terms associated with the phases. The semi-analytical solutions to the response of multiple layers for all the formulations are presented in terms of pore water pressure and stress variations considering a set of non-dimensional parameters and their respective ratios. Validity of the formulations is presented in a non-dimensional parametric space. The maximum discrepancies in the pore pressure response of the formulations leading to validity regions are illustrated for typical dynamic problems. Subsequently, the effects of layering and drainage conditions on these regions are also presented. The proposed semi-analytical solution may be served as a benchmark one for validating the coupled numerical solutions, which can be used to deal with real scientific and geo-engineering problems in the emerging field of computational geomechanics. |
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| Keywords: | Dynamic response Coupled flow and deformation Saturated porous media Semi-analytical solution Regions of formulations |
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