GEOPHYSICAL RESEARCH, 2019, vol. 20, no. 1, pp. 52-64.

UDC 550.34+620.179

Abstract  References   Full text (in Russian)  Full text (in English)


P.A. Kaznacheev(1), Z.-Yu.Ya. Maibuk(1), A.V. Ponomarev(1), V.B. Smirnov(1, 2), N.B. Bondarenko(1, 2)

(1) Schmidt Institute of Physics of the Earth, Russian Academy of Sciences, Moscow, Russia

(2) Lomonosov Moscow State University, Moscow, Russia

Abstract. Authors examine the problem of estimation of b-value for energy distribution of thermal acoustic emission (TAE) events on basis of amplitude distribution of TAE impulses. Impulses are registered by single TAE sensor. Authors have analyzed the effect of factors, associated with elastic waves propagation, on the energy of impulses. The analysis shows, that effect of elastic waves absorption in heated sample is the most significant from these factors. Two events of energy distribution are considered – with one and two sub-functions. It has shown, that the same b-value of registered impulse amplitude distribution and initial event distribution is observed if only b-value is stable in all TAE-event energy range (one sub-function). In this situation, there is one characteristic generation mechanism of events in all sample volume. But if b-value is not stable in different energy ranges (two sub-functions), then elastic waves absorption in the sample distorts initial distribution. Authors propose technique of “true” b-value estimation on basis of distribution analysis of registered TAE impulses in several amplitude subranges.

Keywords: thermally stimulated rock failure, thermoacoustic emission, b-value, absorption of elastic waves.


AE Test. Site about acoustic emission control method and package AE Workbench. Komarov A. 2017. URL:

Amitrano D. Variability in the power-law distributions of rupture events, How and why does b-value change. Eur. Phys. J. Special Topics, 2012, vol. 205, pp. 199-215.

Damaskinskaya E.E., Panteleev I.A., Kadomtsev A.G., Naimark O.B. Effect of the state of internal boundaries on granite fracture nature under quasi-static compression, Physics of the Solid State, 2017, vol. 59, iss. 5, pp. 944-954.

Damaskinskaya E.E., Panteleev I.A., Gafurova D.R., Frolov D.I. Structure of a deformed inhomogeneous material on the data of acoustic emission and X-ray computer microtomography, Phys. Solid State, 2018, vol. 60, iss. 7, pp. 1363-1367.

Davies R.M. Stress waves in solids. Cambridge University Press, 1961.

Kaznacheev P.A., Majbuk Z.-Yu.Ya., Ponomarev A.V., Smirnov V.B., Bondarenko N.B. The laboratory study of thermally stimulated failure of rocks, in Triggernye effekty v geosistemakh: materialy IV Vserossijskoj konferentsii s mezhdunarodnym uchastiem. (Trigger effects in geosystems: Materials of IV all-russian conference with international participation), Moscow: GEOS, 2017, pp. 163-171.

Markov E.A. Evaluation of informativeness of structure of acoustic emission signals from microcracks in thin-walled objects: PhD thesis. Moscow, MISIS, 2007.

Okal E.A., Romanowicz B. On the variation of b-values with earthquake size, Physics of the Earth and Planetary Interiors, 1994, vol. 87, pp. 55-76.

Pisarenko V.F., Rodkin M.V. The estimation of probability of extreme events for small samples, Pure Appl. Geophys, 2017, vol. 174, pp. 1547-1560.

Ponomarev A.V., Zavyalov A.D., Smirnov V.B., Lockner D.A. Physical modeling of the formation and evolution of seismically active fault zones, Tectonophysics, 1997, vol. 277, pp. 57-81.

Shkuratnik V.L., Voznesenskij A.S., Vinnikov V.A., Termostimulirovannaya akusticheskaya emissiya v geomaterialakh (Thermally stimulated acoustic emission in geomaterials), Moscow: Gornaya kniga, 2015.

Sych T.V. Improvement of acoustic emission control technology based on finite element analysis of acoustic path: PhD thesis. Novosibirsk, STU, 2016.

Vasin R.N., Nikitin A.N., Lokajicek T., Rudaev V. Acoustic emission of quasi-isotropic rock samples initiated by temperature gradients. Izv. Phys. Solid Earth, 2006, vol. 42, no. 10, pp. 815-823.

Vettegren V.I., Bashkarev A.Y., Morozov G.I., Lebedev A.A., Nefed’ev E.Yu., Kryuchkov M.A. Influence of structural interfaces on the statistics of corrosion microcracks, Phys. Solid State, 2005, vol. 47, iss. 10, pp. 1869-1871.

Vettegren, V.I., Kuksenko, V.S., Tomilin, N.G., Kryuchkov M.A. Statistics of microcracks in heterogeneous materials (granites), Phys. Solid State, 2004, vol. 46, iss. 10, pp. 1854-1858.