Skip to main content

Part of the book series: Pageoph Topical Volumes ((PTV))

  • 547 Accesses

Abstract

The paper presents an experimental study on critical sensitivity in rocks. Critical sensitivity means that the response of a system to external controlling variable may become significantly sensitive as the system approaches its catastrophic rupture point. It is found that the sensitivities measured by responses on three scales (sample scale, locally macroscopic scales and mesoscopic scale) display increase prior to catastrophic transition point. These experimental results do support the concept that critical sensitivity might be a common precursory feature of catastrophe. Furthermore, our previous theoretical model is extended to explore the fluctuations in critical sensitivity in the rock tests.

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 84.99
Price excludes VAT (USA)
  • Available as PDF
  • Read on any device
  • Instant download
  • Own it forever
Softcover Book
USD 109.99
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

  • Bowman, D.D., Ouillon, G., Sammis, C.G., Sornette, A., and Sornette, D. (1998), An observation test of the critical earthquake concept, J. Geophys. Res. 103, 359–372.

    Google Scholar 

  • Jayatilaka, A.S., Fracture of Engineering Brittle Materials. (Applied Sciences Publishers Ltd., London, 1979).

    Google Scholar 

  • JaumĂ©, S.C. and Sykes L.R. (1999), Evolving towards a critical point: A review of accelerating seismic moment/energy release prior to large and great earthquakes, Pure Appl. Geophys. 155, 279–305.

    Article  Google Scholar 

  • Ma, S.P., Xu, X.H., and Zhao, Y.H. (2004), The Geo-DSCM system and its application to the deformation measurement of rock materials, Int. J. Rock Mech. Mining Sci. 41, 411–412.

    Article  Google Scholar 

  • Peter, W.H., and Randson, W.F. (1981), Digital imaging techniques in Experimental stress analysis, Opt. Eng., 21, 427–431.

    Google Scholar 

  • Rundle, J.B. (2000a), Precursory seismic activation and critical-point phenomena, Pure Appl. Geophys. 157, 2165–2182.

    Article  Google Scholar 

  • Rundle, J.B. and Klein, W. (2000b), Linear pattern dynamics in nonlinear threshold systems, Phys. Rev. E 61, 2418–2431.

    Article  Google Scholar 

  • Stein, R.S. (1999), The role of stress transfer in earthquake occurrence, Nature 402, 605–609.

    Article  Google Scholar 

  • Weibull, W. (1951), A statistical distribution function of wide applicability, J. Appl. Mech. ASME 18, 293–297.

    Google Scholar 

  • Xia, M.F., Ke, F.J., and Bai, Y.L. (2000), Evolution induced catastrophe in a nonlinear dynamical model of materials failure, Nonlinear Dynamics 22, 205–224.

    Article  Google Scholar 

  • Xia, M.F., Wei, Y.J., Ke F.J., and Bai, Y.L. (2002), Critical sensitivity and transscale fluctuations in catastrophe rupture, Pure Appl. Geophys. 159, 2491–2509.

    Article  Google Scholar 

  • Xu, X.H., Ma, S.P., Xia, M.F., Ke, F.J., and Bai, Y.L. (2004), Damage evaluation and damage localization of rock, Theor. Appl. Fract. Mech. 42, 131–138.

    Article  Google Scholar 

  • Yin, X.C., Wang, Y.C., Peng, K.Y., Bai, Y.L., Wang, H.T., and Yin, X.F. (2000), Development of a new approach to earthquake prediction: Load/Unload Response Ratio (LURR) Theory, Pure Appl. Geophys. 157, 2365–2383.

    Article  Google Scholar 

  • Zhang, X.H., Xu, X.H., Xia, M.F., and Bai, Y.L. (2004), Critical sensitivity in driven nonlinear threshold systems, Pure Appl. Geophys. 161, 1931–1944.

    Google Scholar 

Download references

Author information

Authors and Affiliations

Authors

Editor information

Editors and Affiliations

Rights and permissions

Reprints and permissions

Copyright information

© 2006 Birkhäauser Verlag

About this paper

Cite this paper

Xu, X., Xia, M., Ke, F., Bai, Y. (2006). Experimental Evidence of Critical Sensitivity in Catastrophe. In: Yin, Xc., Mora, P., Donnellan, A., Matsu’ura, M. (eds) Computational Earthquake Physics: Simulations, Analysis and Infrastructure, Part I. Pageoph Topical Volumes. Birkhäuser Basel. https://doi.org/10.1007/978-3-7643-7992-6_3

Download citation

Publish with us

Policies and ethics