Amplitude-dependent hysteresis of wave velocity in rocks in wide frequency range: an experimental study


https://doi.org/10.17073/2500-0632-2021-1-23-30

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Abstract

This research belongs to the field of rock physics. In recent years, in solid state physics and materials science, new knowledge has emerged about microplastic strain of various materials, including rocks. These data were obtained using high-precision micro- and nanoscale strain measurements. The very fact of the existence of the poorly studied rock property in the earth sciences requires the study of the possible influence of the rock microplasticity on the propagation of seismic and acoustic waves. The studies were carried out using three alternative methods and under different observation conditions. The field measurements were carried out in the zone of low velocities in crosshole space with transmitted waves of frequency of 240–850 Hz. The laboratory measurements were carried out on sandstone samples with transmitted (6.8 kHz) and reflected (1 MHz) waves at the strain of 10−8–10−6. The manifestations of microplasticity were recorded using high-resolution recording of signals with discretization time tdiscret = 1 μs – 40 μs and 32.5 ns. The wave amplitude variation was provided in a closed cycle: discrete increasing the amplitude from minimum to maximum and return to the initial value (A1+ → A2+ → … Amax … → А2– → A1–). In this amplitude range, an amplitude hysteresis was observed, a sign of which was the inequality of wave velocities on the upward and downward amplitude courses. This effect was recorded for all three measurement methods at different frequencies. However, the amplitude hysteresis of the wave velocity was not observed only in the measurements at full water saturation of loam. The largest amplitude-dependent change in the wave velocity reached 2% (at the accuracy of 0.02%), and the change in the attenuation value amounted to 5%. The reason for this effect could be microplastic inelasticity, which manifested itself by amplitude plateaus located within the waveform. The amplitude microhysteresis forms overall picture of the amplitude dependence of the wave velocity in wide amplitude range. Proposals for the potential use of the obtained data for solving some applied problems have been presented.


About the Author

E. I. Mashinskii
Trofimuk Institute of Petroleum Geology and Geophysics, Siberian Branch of the Russian Academy of Sciences
Russian Federation

Eduard I. Mashinskii – Dr. Sci. (Geol. and Min.)

SCOPUS ID: 8886240600

Novosibirsk



References

1. Voznesensky E. A. Soil behavior under dynamic loads. Мoscow: Moscow University Publ.; 1998. 320 p. (In Russ.).

2. Gushchin V. V., Shalashov G. M. On the feasibility of using nonlinear seismic effects in the problems of vibrational transmission (seismic survey) of the Earth. In: Nikolaev А. V., Galkin I. N. The Earth exploration by non-explosive seismic sources. Moscow: Nauka, 1981, pp. 144–155. (In Russ.).

3. Gushchin V.V., Pavlenko O.V. Study of nonlinear elastic properties of rocks based on seismic data. Sovremennaia seismologiia. Dostizheniia i problemy. 1998;13. (In Russ.).

4. Egorov G. V. Variations of nonlinear parameters of a consolidated porous water-saturated sample depending on the degree of gas saturation. Fizicheskaia mezomekhanika. 2007;10(1):107–110. (In Russ.).

5. Nikolaev A. V. Problems of nonlinear seismic. Moscow: Nauka; 1987. 288 p. (In Russ.).

6. Johnston D. H., Toksoz M. N. Thermal cracking and amplitude dependent attenuation. Journal of Geophysical Research. 1980;85:937–942.

7. Ostrovsky L. A., Johnson P. A. Dynamic nonlinear elasticity in geomaterials. La Rivista del Nuovo Cimento. 2001;24:1–46. https://doi.org/10.1007/BF03548898

8. Kondratyev O. K. Seismic waves in Absorbing Media. Мoscow: Nedra; 1986. 176 p. (In Russ.).

9. Mavko G. M. Friction Attenuation: An Inherent Amplitude Dependence. Journal of Geophysical Research. 1979;84(9):4769–4775.

10. Nishino Y., Asano S., Amplitude-dependent internal friction and microplasticity in thin-film materials. Journal de Physique. 1996;(06):C8-783–C8-786. https://doi.org/10.1051/jp4:19968167

11. Nourifard N., Lebedev M. Research note: the effect of strain amplitude produced by Ultrasonic waves on its velocity. Geophysical Prospecting. 2019;67(4):715–722. https://doi.org/10.1111/1365-2478.12674

12. Nourifard N., Mashinskii E., Lebedev M. The effect of wave amplitude on S- wave velocity in porous media: an experimental study by Laser Doppler Interferometry. Exploration Geophysics. 2019;50(6):683–691. https://doi.org/10.1080/08123985.2019.1667228

13. Zaitsev V. Yu., Nazarov V. E., Talanov V. I. Experimental Study of the self-action of seismoacoustic waves. Acoustic Physics. 1999;45(6):720–726.

14. Tutuncu A. N., Podio A. L., Sharma M. An experimental investigation of factors influencing compressional- and shear-wave velocities and attenuations in tight gas sandstones. Geophysics. 1994;59(1):77–86. https://doi.org/10.1190/1.1443536

15. Winkler K. W., Nur A., Gladwin M. Friction and seismic attenuation in rocks. Nature. 1979;277:528–531. https://doi.org/10.1038/277528a0

16. Derlet P. M., Maaf R. Micro-plasticity and intermittent dislocation activity in a simplied micro structural model. Modelling and Simulation in Materials Science and Engineering. 2013;21(3):035007. https://doi.org/10.1088/0965-0393/21/3/035007

17. Guyer R. A., McCall K. R., Boitnott G. N. Hysteresis, Discrete Memory and Nonlinear Wave Propagation in Rock: a New Paradigm. Physical Review Letters. 1995;74(17):3491–3494. https://doi.org/10.1103/ PhysRevLett.74.3491

18. Guyer R. A., Johnson P. A. Nonlinear mesoscopic elasticity: Evidence for a new class of materials. Physics Today. 1999;52(4):30–36.

19. Mashinskii E. I. Difference between static and dynamic elastic moduli of rocks: Physical causes. Russian Geology and Geophysics. 2003;44(9):953–959.

20. McCall K. R., Guyer R. A. Equation of State and Wave Propagation in Hysteretic Nonlinear Elastic Materials. Journal of Geophysical Research. Solid Earth. 1994;99:23887–23897. https://doi.org/10.1029/94JB01941

21. Duretz, T., Souche, A., Borst R., Le Pourhiet, L. The Benefits of Using a Consistent Tangent Operator for Viscoelastoplastic Computations in Geodynamics. Geochemistry, Geophysics, Geosystems. 2018;19(12):4904–4924. https://doi.org/10.1029/2018GC007877

22. Golovin I. S., Sinning H.-R., Goken J. Riehemann W. Fatigue-related damping in some cellular metallic materials. Materials Science and Engineering: A. 2004;370(1-2):537–541. https://doi.org/10.1016/j.msea.2003.08.090

23. Golovin I. S., Pavlova T. S., Golovina S. B. et al. Effect of severe plastic deformation of Fe–26 at. Al and titanium on internal friction. Materials Science and Engineering: A. 2006;442(1–2):165–169. https://doi.org/10.1016/j.msea.2005.12.081

24. Sajeva A., Filograsso R., Capaccioli S. Including plastic behaviour in the Preisach-Mayergoyz space to find static and dynamic bulk moduli in granular media. In: Conference: SEG Technical Program Expanded Abstracts; 2018. https://doi.org/10.1190/segam2018-2994837.1

25. Kim J.-Y., Qu J., Jacobs L. J., Littles J. W., Savage M. F. Acoustic Nonlinearity Parameter Due to Microplasticity. Journal of Nondestructive Evaluation. 2006;25(1):28–36. https://doi.org/10.1007/s10921-006-0004-7

26. Mashinskii E. I. Jump-like inelasticity in sandstone and its effect on the amplitude dependence of P-wave attenuation: An experimental study. Wave Motion. 2020;97:102585. https://doi.org/10.1016/j.wavemoti.2020.102585

27. Wang J., Li Q., Yang Ch., Zhou C. Repeated loading model for elastic–plastic contact of geomaterial. Advances in Mechanical Engineering. 2018;10(7):1–15. https://doi.org/10.1177/1687814018788778

28. Yarushina V. M., Podladchikov Y. Y. Microscale yielding as mechanism for low-frequency intrinsic seismic wave attenuation. In: 70th EAGE Conference & Exhibition, June 2008. Rome, Italy; 2008, pp. 9–12. https://doi.org/10.3997/2214-4609.20147947

29. Zhou C., Bulent Biner, Richard LeSar. Discrete dislocation dynamics simulations of plasticity at small scales. Acta Materialia. 2010;58:1565–1577. https://doi.org/10.1016/j.actamat.2009.11.001

30. Egorov G. V., Nosov V. M., Man’kovskiy V. V. Experimental estimation of nonlinear elastic parameters of dry and fluid-saturated porous medium. Geologiia i geofizika. 1999;40(3):457–464. (In Russ.)


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For citation: Mashinskii E.I. Amplitude-dependent hysteresis of wave velocity in rocks in wide frequency range: an experimental study. Gornye nauki i tekhnologii = Mining Science and Technology (Russia). 2021;6(1):23-30. https://doi.org/10.17073/2500-0632-2021-1-23-30

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