Exact solutions for the one-dimensional transient response of unsaturated single-layer porous media |
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| Affiliation: | 1. ENEA Italian National Agency for New Technologies, Energy and Sustainable Economic Development, Portici, Napoli, Italy;2. School of Engineering, University of Glasgow, Glasgow, UK;3. Laboratoire SIAME, Pôle Scientifique Universitaire de Montaury, Université de Pau et des Pays de l''Adour, Anglet, France;4. Department of Geotechnical Engineering and Geo-Sciences, Universitat Politècnica de Catalunya, Barcelona, Spain;5. ALPINE BeMo Tunnelling GmbH (ABT), Bernhard-Hoefel, Innsbruck, Austria;6. School of Engineering, University of Newcastle, Callaghan, NSW, Australia;7. Department of Geotechnical Engineering and Geo-Sciences, Universitat Politècnica de Catalunya, Barcelona, Spain;8. Dipartimento di Ingegneria Civile, Edile e Ambientale, Università degli Studi di Napoli Federico II Italy;9. Laboratoire Navier, Ecole des Ponts ParisTech, Marne-la-Vallée, France;10. Department of Geotechnical Engineering and Geo-Sciences, Universitat Politècnica de Catalunya, Barcelona, Spain;11. Zachry Department of Civil Engineering, TX A&M University, USA;12. Department of Civil and Environmental Engineering, Aalto University, Finland;13. Department of Civil and Environmental Engineering, University of Strathclyde, Glasgow, UK;14. School of Engineering and Computing Sciences, University of Durham, Durham, UK;15. Scuola di Ingegneria, Università degli Studi della Basilicata, Potenza, Italy;1. Laboratoire de Génie Civil et d''Ingénierie Environnementale, INSA de Lyon, Université de Lyon, Villeurbanne 69621, France;2. Laboratoire de Génie Civil et Bâtiment, Ecole Nationale des Travaux Publics de l''Etat, Université de Lyon, Vaulx-en-Velin 69120, France;3. Department of Civil and Environmental Engineering, Hong Kong Polytechnic University, Kowloon, Hong Kong;4. Key Lab Mt Hazards & Earth Surface Proc, Inst Mt Hazards & Environm, Chinese Academy of Sciences, Chengdu 610041, China (Formerly PhD student of ENTPE-INSA) |
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| Abstract: | The one-dimensional transient response of unsaturated single-layer porous media is studied based on the theory of unsaturated porous media proposed by Zienkiewicz et al., and exact time-domain solutions are obtained for three types of nonhomogeneous boundary conditions. During the solution procedure, the nonhomogeneous boundary conditions are transformed into homogeneous boundary conditions. Then, the eigenfunction expansion method is utilised to obtain the exact solutions for these new boundary conditions. Several numerical examples are provided to investigate the propagation of compressional waves, and it is verified that three types of compressional waves exist in unsaturated porous media that contain two immiscible fluids. |
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