Porous Media pp 199-225 | Cite as

Coupling between the evolution of a deformable porous medium and the motion of fluids in the connected porosity

  • Renato Lancellotta


This contribution is aimed at presenting a consistent mathematical description of porous media. Basic assumptions concerned with the representation of a porous medium as a continuum are discussed in detail, making a clear distinction between two geometric scales: at microscale each constituent occupies a specific domain, while at macroscale soil and fluid particles are superimposed at the same geometric point. At macroscale, a unified Lagrangean formulation is given, by assuming the soil skeleton as a material reference volume and by referring the fluid motion to the soil skeleton Finally, two problems are analysed, both of relevant interest in soil mechanics, i. e. the propagation of body waves in undrained conditions and the consolidation of a soft clay stratum.


Porous Medium Pore Pressure Effective Stress Representative Elementary Volume Shear Wave Velocity 
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© Springer-Verlag Berlin Heidelberg 2002

Authors and Affiliations

  • Renato Lancellotta
    • 1
  1. 1.Department of Structural and Geotechnical EngineeringTechnical University of Torino (Politecnico)TorinoItaly

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