Skip to main content
Log in

Physical concepts of fracture and prediction of probabilities of strong earthquakes

  • Published:
Izvestiya, Physics of the Solid Earth Aims and scope Submit manuscript

Abstract

A step-by-step scheme of space-time earthquake probability prediction is constructed as a realization of a general mathematical model. The scheme uses four predictors based on concepts of fracture. Prediction results for California and the Sumatra-Andaman earthquake region are presented. Dangers inherent in the use of purely empirical predictors are discussed. An upper estimate is obtained for the admissible number of predictor parameters.

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

Access this article

Price excludes VAT (USA)
Tax calculation will be finalised during checkout.

Instant access to the full article PDF.

Similar content being viewed by others

References

  1. V. M. Ghertzik, “Equations of Dynamics of a Seismogenic Continuous Medium,” in Modern Methods of Seismological Data Interpretation, Vol. 24 of Computational Seismology (Nauka, Moscow, 1991), pp. 62–75 [in Russian].

    Google Scholar 

  2. V. M. Ghertzik, “Mathematical Principles of Predicting the Probabilities of Large Earthquakes,” Fiz. Zemli, No. 6, 21–31 (2006) [Izvestiya, Phys. Solid Earth 42, 467–476 (2006)].

  3. J. N. Goodier, “Mathematical Theory of Equilibrium Cracks,” in Mathematical Fundamentals, Vol. 2 of Fracture, Ed. by H. Liebovitz (Mir, Moscow, 1975), pp. 13–83 [in Russian].

    Google Scholar 

  4. A. N. Kolmogorov, “On the Suitability of Statistically Obtained Prediction Formulas,” Zh. Geofiz. 3, 78–82 (1933).

    Google Scholar 

  5. A. N. Krichevets, The Problem of Conditions of a Possible Experiment in Mathematics, Psychology, and Artificial Intelligence, Doctoral (Philosophy) Dissertation, Lomonosov Moscow State Univ., Moscow, 2000.

    Google Scholar 

  6. H. Liebovitz, “Mathematical Theories of Brittle Fracture,” in Mathematical Fundamentals, Vol. 2 of Fracture, Ed. by H. Liebovitz (Mir, Moscow, 1975), pp. 83–203 [in Russian].

    Google Scholar 

  7. E. N. Lorenz, Prospects for Statistical Weather Forecasting (Statist. Forecasting Proj. Final Rept.) (Cambridge (Mass.), 1959).

  8. G. A. Sobolev, Fundamentals of Earthquake Prediction (Nauka, Moscow, 1993) [in Russian].

    Google Scholar 

  9. G. A. Sobolev and A. D. Zavyalov, “Approach to Dynamic Seismic Hazard Map,” in XX General Assembly IUGG: Program and Abstracts (IASPEI, Vienna, 1991), p. 12.

    Google Scholar 

  10. A. M. Yaglom, “Statistical Prediction,” and A. N. Kolmogorov, “Theory of Probabilities and Mathematical Statistics,” in Collection of Papers, Ed. by N. N. Bogolyubov (Nauka, Moscow, 1986) [in Russian].

    Google Scholar 

  11. A. D. Zavyalov, “Concentration Parameter of Seismogenic Faults as a Precursor of Strong Earthquakes in the Kamchatka Region,” Vulkanol. Seismol., No. 3, 58–71 (1986).

  12. S. N. Zhurkov, V. S. Kuksenko, and A. I. Slutsker, “Formation of Submicroscopic Cracks in Loaded Polymers,” Fiz. Tverd. Tela, No. 11, 296 (1969).

Download references

Author information

Authors and Affiliations

Authors

Additional information

Original Russian Text © V.M. Ghertzik, 2008, published in Fizika Zemli, 2008, No. 3, pp. 22–39.

Rights and permissions

Reprints and permissions

About this article

Cite this article

Ghertzik, V.M. Physical concepts of fracture and prediction of probabilities of strong earthquakes. Izv., Phys. Solid Earth 44, 193–208 (2008). https://doi.org/10.1134/S1069351308030038

Download citation

  • Received:

  • Published:

  • Issue Date:

  • DOI: https://doi.org/10.1134/S1069351308030038

PACS numbers

Navigation