Resonance method to determine temperature dependences of mechanical loss factor in rocks

The mechanical loss factor in rocks is taken into account in blasting, in geomechanics, in seismic monitoring of rockburst-hazardous rock mass, in prediction of earthquakes, in seismic exploration, and in nondestructive testing of long-term stability of the subsoil and underground structures. The method of resonance acoustic spectroscopy determines the frequency dependence of the loss factor by means of estimation of parameters of resonances in rock samples under excitation of longitudinal vibrations using piezoelectric transducers. Elaboration of the testing procedure used frequency scanning of a limestone sample with a diameter of 20 mm and 120 mm long in a range of frequencies from 10 to 80 kHz. Simultaneously, handheld shooting was carried out in neighborhood of the frequencies of the amplitude maximums, which allowed more accurate measurements (modal analysis). For the validation, the elastic wave velocities and elasticity moduli obtained by the two methods were compared. It is found that as the sample temperature increases, the frequency maximums shift toward the range of low frequencies. The loss factor increases as either frequency or temperature grows. The implemented laboratory experimental research creates a framework for the development of multi-frequency acoustic control procedures for deep-level mining at the depths greater than 1000 m in high-temperature rock masses.

Keywords: rocks, mechanical loss, loss factor, Q-factor, frequency dependence, temperature dependence, heating, resonance, spectroscopy, modal analysis.
For citation:

Voznesenskii A. S., Francisco T., Kutkin Ya. O., Krasilov M. N. Resonance method to determine temperature dependences of mechanical loss factor in rocks. MIAB. Mining Inf. Anal. Bull. 2025;(11):19-33. [In Russ]. DOI: 10.25018/0236_1493_2025_11_0_19.

Acknowledgements:

The study was supported by the Russian Science Foundation, Grant No. 24-27-00103 (https://rscf.ru/project/24-27-00103/).

Issue number: 11
Year: 2025
Page number: 19-33
ISBN: 0236-1493
UDK: 539.3: 622.831
DOI: 10.25018/0236_1493_2025_11_0_19
Article receipt date: 07.06.2025
Date of review receipt: 17.07.2025
Date of the editorial board′s decision on the article′s publishing: 10.10.2025
About authors:

A.S. Voznesenskii1, Dr. Sci. (Eng.), Professor, e-mail: asvoznesenskii@misis.ru, ORCID ID: 0000-0003-0926-1808,
T. Francisco1, Graduate Student, e-mail: m1708475@edu.misis.ru, ORCID ID: 0009-0006-5485-6420,
Ya.O. Kutkin1, Cand. Sci. (Eng.), Assistant Professor, e-mail: kutkin.yo@misis.ru, ORCID ID: 0000-0003-2644-3371,
M.N. Krasilov, Cand. Sci. (Eng.), Head of Laboratory, «Scientific and Engineering Centre of Tunnel Association» LLC, 119049, Moscow, Russia,
1 University of Science and Technology MISIS, Moscow, Russia.

 

For contacts:

A.S. Voznesenskii, e-mail: asvoznesenskii@misis.ru.

Bibliography:

1. Rayleigh B. The theory of sound. Vol. 2. New York, 1945, 504 p.

2. Golovin I. S. Neuprugost', vnutrennee trenie i mekhanicheskaya spektroskopiya metallicheskikh materialov [Internal Inelasticity, internal friction, and mechanical spectroscopy of metallic materials], Мoscow, 2020, 284 p.

3. Mochugovskiy A. G., Mikhaylovskaya A. V., Zadorognyy M. Y., Golovin I. S. Effect of heat treatment on the grain size control, superplasticity, internal friction, and mechanical properties of zirconiumbearing aluminum-based alloy. Journal of Alloys and Compounds. 2021, vol. 856, article 157455. DOI: 10.1016/j.jallcom.2020.157455.

4. Blanter M. S., Golovin I. S., Neuhäuser H., Sinning H. R. Internal friction in metallic materials. Springer Series in Materials Science. Springer-Verlag Berlin, Heidelberg, 2007, 541 p.

5. Zhou G., Jiang H., Liu C., Huang H., Wei L., Meng Z. Effect of porous particle layer on damping capacity and storage modulus of AlSi30p/5052Al composites. Materials Letters. 2021, vol. 300, article 130162. DOI: 10.1016/j.matlet.2021.130162.

6. Zhou S., Yang Z., Zhang R., Li F. Preparation, characterization and rheological analysis of ecofriendly road geopolymer grouting materials based on volcanic ash and metakaolin. Journal of Cleaner Production. 2021, vol. 312, article 127822, DOI: 10.1016/j.jclepro.2021.127822.

7. Yang J., Ishikawa T., Lin T., Tokoro T., Nakamura T., Momoya Y. Influence of aging on hydromechanical behavior of unsaturated ballast. Transportation Geotechnics. 2021, vol. 27, article 100480. DOI: 10.1016/j.trgeo.2020.100480.

8. Kosilov A. T. Dissipative properties of materials with thermoelastic martensite conversion. Soviet Physics Journal. 1985, vol. 28, pp. 380—389. DOI: 10.1007/BF00892271.

9. Krishnan R. V., Delaey L., Tas H., Warlimont H. Thermoplasticity, pseudoelasticity and the memory effects associated with martensitic transformations. Journal of Materials Science. 1974, vol. 9, pp. 1536—1544. DOI: 10.1007/BF00552940.

10. Schröder E., Sievi A. New measurement method for bending loss factor and the bending stiffness: Test method. Proceedings of the 10th Convention of the European Acoustics Association Forum Acusticum, 2023, Torino, Italy, DC/ConfOrg. 2023, pp. 1079—1085. DOI: 10.61782/fa.2023.0878.

11. Dessi C., Coppol S. Vlassopoulos D. Dynamic mechanical analysis with torsional rectangular geometry: A critical assessment of constrained warping models. Journal of Rheology. 2021, vol. 65, no. 3, pp. 325—335. DOI: 10.1122/8.0000207.

12. Voznesenskii A. S., Ushakov E. I. Temperature dependence of internal mechanical losses of gypsum stone with complex composition and structure. Journal of Alloys and Compounds. 2022, vol. 906, article 164194. DOI: 10.1016/j.jallcom.2022.164194.

13. Liu Y., Dai F. A review of experimental and theoretical research on the deformation and failure behavior of rocks subjected to cyclic loading. Journal of Rock Mechanics and Geotechnical Engineering. 2021, vol. 13, no. 5, pp. 1203—1230. DOI: 10.1016/j.jrmge.2021.03.012.

14. Sobisevich A. L., Zvereva A. S., Likhodeev D. V. On the issue of volume wave attenuation in the Elbrus volcanic area. Doklady Akademii nauk. 2019, vol. 486, no. 4, pp. 480—484. [In Russ].

15. Zvereva A. S., Sobissevich A. L., Gabsatarova I. P. Coda Q in the geophysical medium of the Northeast Caucasus. Fizika Zemli. 2024, no. 1, pp. 1—17. [In Russ]. DOI: 10.31857/S0002333724010091.

16. Aki K., Chouet B. Origin of coda waves: Source, attenuation and scattering effects. Journal of Geophysical Research. 1975, vol. 80, no. 23, pp. 3322—3342. DOI: 10.1029/JB080i023p03322.

17. Tittman B. R., Abdel-Gawad M., Housley R. M. Elastic velocity and Q factor measurements on Apollo 12, 14, and 15 rocks. Proceedings of the Third Lunar Conference (Supplement 3, Geochimica et Cosmochimica Acta). The M. I. T. Press, 1972, vol. 3, pp. 2565—2575.

18. Salyukov V. S., Voznesenskii A. S., Kutkin Ya. O. Internal mechanical losses in gabbro under periodic impacts in low-frequency range. MIAB. Mining Inf. Anal. Bull. 2024, no. 11, pp. 64—74. [In Russ]. DOI: 10.25018/0236_1493_2024_11_0_64.

19. Merkulova V. M. Change in the attenuation coefficient of ultrasound in rocks after heating. Akusticheskiy zhurnal. AN SSSR. 1973, no. 6, pp. 920—922. [In Russ].

20. Merkulova V. M., Pigulevsky E. D., and Tsaplev V. M. Measurement of sound absorption in rocks under uniaxial compression. Izvestiya AN SSSR, Fizika Zemli. 1972, no. 3. [In Russ].

21. Lebedev A. V., Ostrovskii L. A., Sutin A. M., Soustova I. A., Dzhonson P. A. Resonant acoustic spectroscopy at low Q factors. Acoustical Physics. 2003, vol. 49, pp. 81—87. DOI: 10.1134/1.1537392.

22. Lebedev A. V., Bredikhin V. V., Soustova I. A., Sutin A. M., Kusunose K. Resonant acoustic spectroscopy of microfracture in a Westerly granite sample. Journal of Geophysical Research: Solid Earth. 2003, vol. 108, no. B10. DOI: 10.1029/2002JB002135.

23. Penn S. D., Ageev A., Busby D., Harry G. M., Gretarsson A. M., Numata K., Willems P. Frequency and surface dependence of the mechanical loss in fused silica. Physics Letters A. 2006, vol. 352, no. 1—2, pp. 3—6. DOI: 10.1016/j.physleta.2005.11.046.

24. Voznesenskii A. S., Ushakov E. I., Kutkin Ya. O. Fracture toughness of rock-concrete interfaces and its prediction based on acoustic properties. Mining Science and Technology (Russia). 2025, vol. 10, no. 1, pp. 5—14. DOI: 10.17073/2500-0632-2024-10-316.

25. Davis E. S., Sturtevant B. T., Sinha D. N., Pantea C. Resonant Ultrasound Spectroscopy studies of Berea sandstone at high temperature. Journal of Geophysical Research: Solid Earth. 2016, vol. 121, no. 9, pp. 6401—6410. DOI: 10.1002/2016JB013410.

26. Ushakov E. I. Acoustic quality of multilayer rocks. Akustika sredy obitaniya (ASO—2021): Shestaya Vserossiyskaya konferentsiya molodykh uchenykh i spetsialistov. Materialy konferentsii [Acoustics of the habitat (CCA–2021): The Sixth All–Russian Conference of Young Scientists and Specialists], Мoscow, 2021, pp. 261—267. [In Russ].

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