Abstract
Peculiarities of a main crack formation in Westerly granite and metasandstone under quasistatic uniaxial compression without any lateral upthrust have been studied using the acoustic emission (AE) data and X-ray computed microtomography (CT). Multifractal analysis of intervals between AE signals and the energy distribution analysis of these signals have been performed. Two most important parameters—Hürst coefficient and singularity spectrum width were plotted versus time. Following peculiarities were found: while approaching the destruction time the Hürst coefficient becomes larger and the spectrum width narrower. It has been concluded from these facts that fractal self-organized state is formed before the destruction, i.e. process nature changes from more complicated multifractal to more simple monofractal one. Despite the spatially localized character of defect accumulation revealed by X-ray microtomography, the analysis of the energy distributions of acoustic emission signals allowed us in this work to separate principally different stages of the main crack growth. The first stage is characterized by an exponential energy distribution of AE signals and the second one by a power-low distribution.
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References
Lockner, D.A., Byerlee, J.D., Kuksenko, V., Ponomarev, A., Sidorin, A.: Observations of quasistatic fault growth from acoustic emissions. In: Evans, B., Wong, T.-F. (eds.) Fault Mechanics and Transport Properties of Rocks, pp. 3–31. Academic, London (1992). https://doi.org/10.1016/S0074-6142(08)62813-2
Ben-Zion, Y., Lyakhovsky, V.: Accelerating seismic release and related aspects of seismicity patterns on earthquake faults. Pure. appl. Geophys. 159, 2385–2412 (2002). https://doi.org/10.1007/s00024-002-8740-9
Hamie, Y., Katz, O., Lyakhovsky, V., Reches, Z., Fialko, Yu.: Stable and unstable damage evolution in rocks with implications to fracturing of granite. Geophys. J. Int. 167, 1005–1016 (2006). https://doi.org/10.1111/j.1365-246X.2006.03126.x
Goebel, T.H.W., Becker, T.W., Schorlemmer, D., Stanchits, S., Sammis, C., Rybacki, E., Dresen, G.: Identifying fault heterogeneity through mapping, spatial anomalies in acoustic emission statistics. J. Geophys. Res. 117, B03310 (2012). https://doi.org/10.1029/2011JB008763
Petružalek, M., Vilhelm, J., Rudajev, V., Lokajiček, T., Svitek, T.: Determination of the anisotropy of elastic waves monitored by a sparse sensor network. Int. J. Rock Mech. Mining Sci. 60, 208–216 (2013). https://doi.org/10.1016/j.ijrmms.2012.12.020
Toth, T., Hudak, R.: Computed tomography—its development, principle and image artifacts. Acta Mech. Slov. 17, 40–47 (2013). https://doi.org/10.21496/ams.2013.044
Chayes, F.: Composition of the granites of Westerly and Bradford. Rhode Island. Am. J. Sci. 248, 378–407 (1950). https://doi.org/10.2475/ajs.248.6.378
Stesky, R.M.: Mechanisms of high temperature frictional sliding in Westerly granite. Can. J. Earth Sci. 15, 361–375 (1978)
Panteleev, I.A., Bayandin, YuV, Naimark, O.B.: Spatio-temporal patterns of damage development during deformation of fiberglass woven laminate according to acoustic emission data. Fiz. Mezomekh. 19(4), 64–73 (2016). (in Russian)
Tomilin, N.G., Damaskinskaya, E.E., Pavlov, P.I.: Fracture of rocks as a multilevel process. Izv. Phys. Solid Earth 41(8), 660–669 (2005)
Krasil’nikov, A.Z.: Statistical kinetics of delocalized destruction. Extended Abstract of Cand. Sci. Dissertation 18 pp. (1991). (in Russian)
Builo, S.I.: Diagnostics of the predestruction state based on amplitude and time invariants of the flow of acoustic-emission acts. Russ. J. Nondestr. Test. 40, 561–564 (2004). https://doi.org/10.1007/s11181-005-0097-6
Hilarov, V.L., Korsukov, V.E., Butenko, P.N., Svetlov, V.N.: Wavelet transform as a method for studying the fractal properties of the surface of amorphous metals under mechanical load. Phys. Solid State 46(10), 1868–1872 (2004). https://doi.org/10.1134/1.1809422
Hilarov, V.L.: Self-similar crack-generation affects in the fracture process in brittle materials. Modelling Simul. Mater. Sci. Eng. 6, 337–342 (1998)
Smirnov, V.B., Ponomarev, A.V., Zav’yalov, A.D.: Structure of the acoustic mode in rock samples and seismic process. Fiz. Zemli. (1), 38–58 (1995). (in Russian)
Wendt, H., Abry, P., Jaffard, S.: Bootstrap for empirical multifractal analysis. IEEE Signal Proc. 24(4), 38–48 (2007). https://doi.org/10.1109/msp.2007.4286563. Source: IEEE Xplore
Wendt, H., Roux, S.G., Jaffard, S., Abry, P.: Wavelet leaders and bootstrap for multifractal analysis of images. Signal Proc. 89(6), 1100–1114 (2009). https://doi.org/10.1016/j.sigpro.2008.12.015. Source: OAI
Muzy, J.F., Bacry, E., Arneodo, A.: Multifractal formalism for fractal signals: the structure-function approach versus the wavelet-transform modulus-maxima method. Phys. Rev. E 47, 875–884 (1993). https://doi.org/10.1103/PhysRevE.47.875
Hilarov, V.: Simulation of crack growth during fracture of heterogeneous materials. Phys. Solid State 53, 758–762 (2011). https://doi.org/10.1134/S1063783411040160
Damaskinskaya, E., Hilarov, V., Frolov, D.: Revealing the spatial region of a future fracture nucleation in heterogeneous materials at the initial deformation stage. In: AIP Conference Proceedings, vol. 1783, p. 020033 (2016). https://doi.org/10.1063/1.4966326
Damaskinskaya, E., Frolov, D., Gafurova, D., Korost, D., Panteleev, I.: Criterion for fracture transition to critical stage. Interpretation 5(4), SP1 (2017). https://doi.org/10.1190/int-2016-0222.1
Damaskinskaya, E.E., Kadomtsev, A.G.: Locating the spatial region of a future fracture nucleation based on analyzing energy distributions of acoustic emission signals. Izvestiya Phys. Solid Earth 51(3), 392–398 (2015). https://doi.org/10.1134/S1069351315030027
Bak, P.: How Nature Works: The Science of Self-Organized Criticality. Springer, New York (1996)
Acknowledgements
The authors are grateful to Dr. A.V. Ponomarev (Schmidt Institute of Physics of the Earth of the Russian Academy of Sciences) for providing metasandstone for research.
This work was supported by the Russian Foundation for Basic Research, project no. 19-05-00248.
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Damaskinskaya, E., Hilarov, V., Panteleev, I., Korost, D., Frolov, D. (2019). Statistical Regularities of a Main Crack Formation in Rocks. Acoustic Emission and X-Ray Computed Microtomography. In: Kocharyan, G., Lyakhov, A. (eds) Trigger Effects in Geosystems. Springer Proceedings in Earth and Environmental Sciences. Springer, Cham. https://doi.org/10.1007/978-3-030-31970-0_3
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