Dynamic Thermo-Poro-Mechanical Stability Analysis of Simple Shear on Frictional Materials

  • Ioannis Vardoulakis
Part of the Modeling and Simulation in Science, Engineering and Technology book series (MSSET)

Abstract

In this paper, the basic mathematical structure of a thermoporo-mechanical model for faults under rapid shear is discussed. The analysis is 1D in space and concerns the infinitely extended fault. The gauge material is considered as a two-phase material consisting of a thermo-elastic fluid and of a thermo-poro-elasto-viscoplastic skeleton. The governing equations are derived from first principles expressing mass, energy and momentum balance inside the fault. They are a set of coupled diffusion-generation equations that contain three unknown functions, the pore-pressure, the temperature and the velocity field inside the fault. The original mathematically ill-posed problem is regularized using a viscous-type and a second-gradient regularization. Numerical results are presented and discussed.

Keywords

Clay Permeability Porosity Resis Lution 

Preview

Unable to display preview. Download preview PDF.

Unable to display preview. Download preview PDF.

References

  1. 1.
    D.L. Anderson: anearthquake induced heat mechanism to explain the loss of strength of large rock and earth slidesint. Conf. On engineering for protection from natural disasters, bangkok, 1980.Google Scholar
  2. 2.
    R.G. Campanella, J.K. Michell: influence of temperature variations on soil behaviorj. Soil mech. Found. Div. Asce94, pp. 709–734, 1968.Google Scholar
  3. 3.
    C. Di prisco, S. Imposimato, I. Vardoulakis: mechanical modeling of drained creep triaxial tests on loose sandgeotechnique50, pp. 73–82, 2000.CrossRefGoogle Scholar
  4. 4.
    P. Delage, S. NabilY.J. Cul: on the thermal consolidation of boom clay, can.Geotech. J.37, pp. 343–354, 2000.CrossRefGoogle Scholar
  5. 5.
    J. Goguel: scale-dependent rockslide mechanisms, with emphasis on the role of pore fluid vaporization, in: B. Voight (ed.): rockslides and avalances; natural phenomenadevelopments in geotechnical engineering14, elsevier science publishers, amsterdam, 1978, pp. 693–705.Google Scholar
  6. 6.
    P. Habib: sur un mode de glissement des massifs rocheaux, c.R. Hebd. Seanc. Acad. Sci.264, pp. 151–153, 1967.Google Scholar
  7. 7.
    P. Habib: production of gaseous pore pressure during rock slidesrock mech.7, pp. 193–197, 1975.CrossRefGoogle Scholar
  8. 8.
    R.D. Holtz, W.D. Kovacs:an introduction to geotechnical engineeringprentice-hall, englewood cliffs, new jersey, 1981.Google Scholar
  9. 9.
    A.H. Lachenbruch: frictional heating, fluid pressure and the resistance to fault motionj. Geophys. Res.85, pp. 6097–6112, 1980.CrossRefGoogle Scholar
  10. 10.
    R. Lattes, J.-L. Lions:methode de quasi-reversibilite et applicationsdunod, paris, 1967.MATHGoogle Scholar
  11. 11.
    C.W. Mase, L. Smith: pore-fluid pressures and frictional heating on a fault surface, pureappl. Geoph.122, pp. 583–607, 1985.CrossRefGoogle Scholar
  12. 12.
    H. Modaressi, L. Laloui: a thermo-viscoplastic constitutive model for claysint. J. Num. Anal. Meth. Geomech.21, pp. 313–335, 1997.MATHCrossRefGoogle Scholar
  13. 13.
    J.R. Rice, S.T. Tse: dynamic motion of a single degree of freedom system following a rate and state dependent friction lawj. Geophys. Res.91, pp. 521–530, 1986.CrossRefGoogle Scholar
  14. 14.
    S.U. Romero, R. Molina: kinematic aspects of the vaiònt slideproc. 3rd congress int. Soc. Rock mechanics denveriib, 1974, pp. 865–870.Google Scholar
  15. 15.
    N. Sultan:etudeducomportement thermo-mechanique de l’argile de boom: experiences et modelisationph.d. Thesis, e.n.p.c., c.e.r.m.e.s, paris, 1997.Google Scholar
  16. 16.
    T.E. Tika, J.N. Hutchinson: ring shear tests on soil from the vaiònt landslide slip surfacegeotechnique49, pp. 59–74, 1999.CrossRefGoogle Scholar
  17. 17.
    I. Vardoulakis, J. Sulem:bifurcation analysis in geomechanicschapman&hall, london, 1995.Google Scholar
  18. 18.
    I. Vardoulakis: catastrophic landslides due to frictional heating of the failure planemech. Coh.-frict. Mat.5, pp. 443–467, 2000.CrossRefGoogle Scholar
  19. 19.
    I. Vardoulakis: dynamic thermo-poro-mechanical analysis of catastrophic landslidesgeotechnique52, 2002, to appear.Google Scholar
  20. 20.
    B. Voight, C. Faust: frictional heat and strength loss in some rapid landslidesgeotechnique32, pp. 43–54, 1982.CrossRefGoogle Scholar

Copyright information

© Springer Science+Business Media New York 2002

Authors and Affiliations

  • Ioannis Vardoulakis
    • 1
  1. 1.Department of MechanicsNational Technical University of AthensZographouGreece

Personalised recommendations