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Classical Theory of Consolidation for Saturated Porous Media

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Book cover Transport Phenomena in Porous Media

Abstract

Soil is a mixture of a solid phase, a liquid phase (i.e., water) and a gaseous phase. Saturated soil is a two-phase material which consists of a solid phase and a liquid phase. The formulation of a theory for a saturated soil commenced with the concept of the effective stress of Terzaghi at the beginning of the twentieth century, and Terzaghi’s concept was extended by Biot to a three dimensional consolidation theory.

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Notes

  1. 1.

    The load boundary condition (6.40) is given for a total stress. If it is given for an effective stress, it is modified as

    $$\qquad \Delta {\sigma }_{\mathit{ij}}^{{\prime}}\,{n\!}_{ j} = \Delta \bar{{t}}_{i}^{{\prime}}.$$

    The weak form is modified because of this condition.

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© 2012 Springer-Verlag Berlin Heidelberg

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Ichikawa, Y., Selvadurai, A.P.S. (2012). Classical Theory of Consolidation for Saturated Porous Media. In: Transport Phenomena in Porous Media. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-642-25333-1_6

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  • DOI: https://doi.org/10.1007/978-3-642-25333-1_6

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  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-642-25332-4

  • Online ISBN: 978-3-642-25333-1

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