Skip to main content

Part of the book series: NATO ASI Series ((NSSE,volume 82))

Abstract

The basic differential equations of the linearized theory of consolidation are derived, taking into account a small compressibility of the pore fluid and the particles. The presentation follows the concepts of classical soil mechanics, paying special attention to TerzaghiTs principle of effective stress. It is shown that the equations are in agreement with the equations used in rock mechanics and reservoir engineering, in which disciplines the compressibility of the particles is usually more important than in soil mechanics and in geohydrology, in which the particle compressibility is usually disregarded. Some general properties of the solutions of the consolidation equations are discussed, and a procedure is described to estimate the rate of dissipation of pore pressures. Analytical and numerical solutions are briefly described, and some examples are given.

This is a preview of subscription content, log in via an institution to check access.

Access this chapter

Chapter
USD 29.95
Price excludes VAT (USA)
  • Available as PDF
  • Read on any device
  • Instant download
  • Own it forever
eBook
USD 39.99
Price excludes VAT (USA)
  • Available as PDF
  • Read on any device
  • Instant download
  • Own it forever
Softcover Book
USD 54.99
Price excludes VAT (USA)
  • Compact, lightweight edition
  • Dispatched in 3 to 5 business days
  • Free shipping worldwide - see info

Tax calculation will be finalised at checkout

Purchases are for personal use only

Institutional subscriptions

Preview

Unable to display preview. Download preview PDF.

Unable to display preview. Download preview PDF.

References

  1. Skempton, A.W. The pore pressure coefficients A and B. Geotechnique 4, (1954) 143–147.

    Article  Google Scholar 

  2. Lambe, T.W. and R.V. Whitman. Soil Mechanics ( New York, Wiley, 1969 ).

    Google Scholar 

  3. De Josselin, de Jong, G. Consolidatie in drie dimensies. LGM- mededelingen 7 (1963) 25–73.

    Google Scholar 

  4. Palcianskas, V.V. and P.A. Domenico. Characterization of drained and undrained response of thermally loaded repository rocks. Water Resources Res. 18 (1982) 281–290.

    Article  Google Scholar 

  5. Bishop, A.W. The influence of an undrained change in stress on the pore pressure in porous media of low compressibility. Geo- technique 23 (1973) 435–442.

    Google Scholar 

  6. Geertsma, J. The effect of fluid pressure decline on volumetric changes of porous rocks. Trans AIME 210 (1957) 331–343.

    Google Scholar 

  7. Biot, M.A. General theory of three-dimensional consolidation. J. Appl. Phys. 12 (1941) 155–164.

    Article  Google Scholar 

  8. Teunissen, J.A.M. Mechanics of a fluid-gas mixture in a porous medium. Mech. Materials 1: 1 (1982) at press.

    Article  Google Scholar 

  9. Terzaghi, K. Theoretical soil mechanics ( Chapman and Hall, London, 1943 ).

    Book  Google Scholar 

  10. Rendulic, L. Porenziffer und Porenwasserdruck in Tonen. Der Bauingenieur 17 (1936) 559–564.

    Google Scholar 

  11. Cryer, C.W. A comparison of the three-dimensional consolidation theories of Biot and Terzaghi. Quart.J.Mech.Appl.Math. 16 (1963) 401–412.

    Article  MATH  Google Scholar 

  12. Gibson, R.E. Knight, K and P.W. Taylor. A critical experiment to examine theories of three-dimensional consolidation. Proc. Eur. Conf. SMFE Wiesbaden 1 (1963) 69–76.

    Google Scholar 

  13. Verruijt, A. Discussion. Proc. 6th Int. Conf. SMFE Montreal 3 (1965) 401 - 402.

    Google Scholar 

  14. Verruijt, A. A simple formula for the estimation of pore pressures and their dissipation. Appl. Ocean Res. 2 (1980) 57–62.

    Article  Google Scholar 

  15. Gibson, R.E., Schiffman, R.L. and S.L. Pu. Plane strain and axially symmetric consolidation of a clay layer on a smooth impervious base. Quart.J.Mech.Appl.Math. 23 (1970) 505–520.

    Article  MATH  Google Scholar 

  16. Verruijt, A. Approximations of cyclic pore pressures caused by sea waves in a poro-elastic half-plane. Soil Mechanics Transient and Cyclic Loads, Edited by G.N. Pande and O.C. Zienkiewicz ( London, Wiley, 1982 ) 37–51.

    Google Scholar 

  17. Desai, C.S. and J.T. Christian, Numerical methods in geotechnical engineering ( New York, McGraw-Hill, 1977 ).

    MATH  Google Scholar 

  18. Verruijt, A. Generation and dissipation of pore-water pressures. Finite elements in Geomechanics. Edited by G. Gudehus (London Wiley, 1977 ) 293–317

    Google Scholar 

  19. De Leeuw, E.H. Consolidatie in drie dimensies. LGM-Mededelingen 9 (1964) 17–48.

    Google Scholar 

Download references

Author information

Authors and Affiliations

Authors

Editor information

Editors and Affiliations

Rights and permissions

Reprints and permissions

Copyright information

© 1984 Martinus Nijhoff Publishers, Dordrecht

About this chapter

Cite this chapter

Verruijt, A. (1984). The Theory of Consolidation. In: Bear, J., Corapcioglu, M.Y. (eds) Fundamentals of Transport Phenomena in Porous Media. NATO ASI Series, vol 82. Springer, Dordrecht. https://doi.org/10.1007/978-94-009-6175-3_7

Download citation

  • DOI: https://doi.org/10.1007/978-94-009-6175-3_7

  • Publisher Name: Springer, Dordrecht

  • Print ISBN: 978-94-009-6177-7

  • Online ISBN: 978-94-009-6175-3

  • eBook Packages: Springer Book Archive

Publish with us

Policies and ethics