Waves in Residual-Saturated Porous Media

  • Holger SteebEmail author
  • Marcel Frehner
  • Stefan Schmalholz
Part of the Advances in Mechanics and Mathematics book series (AMMA, volume 21)


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.


Porous Medium Representative Volume Element Liquid Bridge Saturated Porous Medium Porous Rock 
These keywords were added by machine and not by the authors. This process is experimental and the keywords may be updated as the learning algorithm improves.


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Copyright information

© Springer Science+Business Media, LLC 2010

Authors and Affiliations

  • Holger Steeb
    • 1
    Email author
  • Marcel Frehner
    • 2
  • Stefan Schmalholz
    • 3
  1. 1.Mechanics-Continuum MechanicsRuhr-University BochumBochumGermany
  2. 2.Department of Geodynamics and SedimentologyUniversity of ViennaViennaAustria
  3. 3.Geological InstituteETH ZurichZurichSwitzerland

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