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Soviet Mining

, Volume 20, Issue 5, pp 343–350 | Cite as

Static and dynamic elastic moduli of rock in a complex axisymmetric stressed state

  • A. N. Stavrogin
  • G. G. Zaretskii-Feoktistov
  • G. N. Tanov
Rock Mechanics and Rock Pressure
  • 108 Downloads

Conclusions

The magnitude of the ratio of the static and dynamic moduli in the sublimiting and trans-limiting strain regions depends to a significant degree on the stress-strain state.

For small strains (elastic region), the range in variation in the Est/Ed ratio for lateral pressures of less than 20 MPa falls within the limits of 0.7–1.3 (for marble) as a function of axial force. For large deformations (inelastic region), the Est/Ed ratio varies within the limits of ±0.04 as a function of the relationship between the axial and lateral pressures. The range of variation in the Est/Ed ratio increases with decreasing axial loads. This ratio increases monotonically with increasing lateral pressure.

It is shown that constancy of the amplitude of the ultrasound signal can be explained by the appearance of two effects acting in opposing directions-by a reduction in the effective diameter of the microcracks and by an increase in the damping coefficient with frequency. According to ultrasound measurements, the effective diameter of the microcracks is reduced by a factor of 1.75 in the interval of hydrostatic pressures from zero to 100 MPa.

The relationships obtained make it possible to determine the magnitude of the static modulus of rock (for example, in the zone of influence of an underground excavation) from the data of ultrasound measurements, and to estimate the behavior of rock subject to a dynamic disturbance.

Keywords

Rock Mass PMMA Hydrostatic Pressure Dynamic Modulus Lateral Pressure 
These keywords were added by machine and not by the authors. This process is experimental and the keywords may be updated as the learning algorithm improves.

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Literature Cited

  1. 1.
    A. I. Savich, V. I. Koptev, V. N. Nikitin, and Z. G. Yashchenko, Seismoacoustic Methods of Investigating Rock Masses [in Russian], Nedra, Moscow (1969).Google Scholar
  2. 2.
    H. Link, zum Verhaltnis Seismish und Statisch Ermittelter Elastisitatsmoduln von Fels, Felsmechanik und Ungeniergeol., Suppe IV (1968).Google Scholar
  3. 3.
    A. I. Savich, “Elastic properties of rock in a mass adjacent to mine excavations,” Izv. Akad. Nauk SSSR, Fiz. Zemli, No. 11 (1965).Google Scholar
  4. 4.
    “Evaluation of elastic modulus of dam foundation rock determined seismically in comparison to those arrived at statically,” International Congress on Large Dams, Edinburg (1964).Google Scholar
  5. 5.
    Investigation of Rock Pressure by Geophysical Methods [in Russian], Nauka, Moscow (1967).Google Scholar
  6. 6.
    A. N. Stavrogin, E. D. Pevzner, B. G. Tarasov, and O. A. Shirkes, “Universal laboratory apparatus with high rigidity for investigating rock under complex stressed states,” in: Physics and Mechanics of Rock Excavations [in Russian], Ilim, Frunze (1983).Google Scholar
  7. 7.
    O. E. Ol'khovik and N. P. Demenchuk, “Creep of organic fiberglass in shear with the application of hydrostatic pressure,” Probl. Prochn., No. 2 (1977).Google Scholar
  8. 8.
    M. P. Volarovich, E. I. Bayuk, A. I. Levykin, and I. S. Tomashevskaya, Physicomechanical Properties of Rock and Minerals under High Pressure [in Russian], Nauka, Moscow (1974).Google Scholar
  9. 9.
    L. Knopov, “Damping of elastic waves in the earth,” in: Physical Acoustics [Russian translation], Vol. 3, Part B, Mir, Moscow (1968).Google Scholar
  10. 10.
    A. N. Stavrogin and A. G. Protosenya, Plasticity of Rock [in Russian], Nedra, Moscow (1970).Google Scholar
  11. 11.
    S. A. Strizhkov, “Investigation of the character of the frequency variation of a P-wave on models of randomly cracked media,” Izv. Akad. Nauk SSSR, Fiz. Zemli, No. 5 (1981).Google Scholar
  12. 12.
    A. V. Clark and S. D. Hart, “Measurement of ultrasound reflected from liquid layers of submicron thickness,” Mater. Eval.,40, No. 8 (1982).Google Scholar
  13. 13.
    A. N. Stavrogin, B. G. Tarasov, O. A. Shirkes, and E. D. Pevzner, “Strength and deformation of rock in the sublimiting and translimiting regions,” Fiz.-Tekh. Probl. Razrab. Polezn. Iskop., No. 6 (1981).Google Scholar

Copyright information

© Plenum Publishing Corporation 1985

Authors and Affiliations

  • A. N. Stavrogin
  • G. G. Zaretskii-Feoktistov
  • G. N. Tanov

There are no affiliations available

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