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Mechanics of Generalized Continua pp 179–187Cite as

Waves in Residual-Saturated Porous Media

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Part of the book series: Advances in Mechanics and Mathematics ((AMMA,volume 21))

Abstract

We present a three-phase model describing wave propagation phenomena in residual-saturated porous media. The model consists of a continuous non-wetting phase and a discontinuous wetting phase and is an extension of classical biphasic (Biot-type) models. The model includes resonance effects of single liquid bridges or liquid clusters with miscellaneous eigenfrequencies taking into account a visco-elastic restoring force (pinned oscillations and/or sliding motion of the contact line). For the quasi-static limit case, i.e., ω ↦0, the results of the model are identical with the phase velocity obtained with the well-known Gassmann–Wood limit.

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Author information

Authors and Affiliations

  1. Mechanics-Continuum Mechanics, Ruhr-University Bochum, Universitätsstrasse 150, 44780, Bochum, Germany

    Holger Steeb

  2. Department of Geodynamics and Sedimentology, University of Vienna, Althanstrasse 14, 1090, Vienna, Austria

    Marcel Frehner

  3. Geological Institute, ETH Zurich, Sonneggstrasse 5, 8092, Zurich, Switzerland

    Stefan Schmalholz

Authors
  1. Holger Steeb
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  2. Marcel Frehner
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  3. Stefan Schmalholz
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Correspondence to Holger Steeb .

Editor information

Editors and Affiliations

  1. Institut Jean Le Rond d'Alembert, Université Paris VI, place Jussieu 4, Paris CX 5, 75252, France

    Gérard A. Maugin

  2. Faculty of Civil Engineering and, Delft University of Technology,, Stevinweg 1, Delft, 2628 CN, Netherlands

    Andrei V. Metrikine

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Steeb, H., Frehner, M., Schmalholz, S. (2010). Waves in Residual-Saturated Porous Media. In: Maugin, G., Metrikine, A. (eds) Mechanics of Generalized Continua. Advances in Mechanics and Mathematics, vol 21. Springer, New York, NY. https://doi.org/10.1007/978-1-4419-5695-8_19

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