Experimental investigation on predicting precursory changes in entropy for dominant frequency of rockburst

Abstract

Rockburst is a dynamic phenomenon accompanied by acoustic emission (AE) activities. It is difficult to predict rockburst accurately. Based on the fast Fourier transform (FFT) method and the information entropy theory, the evolution model of dominant frequency entropy was established. The AE energy, frequency and stress were synthetically considered to predict rockburst. Under the triaxial and the single-face unloading tests, the relationship between AE energy and the development of internal cracks was analyzed. Using the FFT method, the distribution characteristics of AE dominant frequency values were obtained. Based on the information entropy theory, the dominant frequencies evolved patterns were ascertained. It was observed that the evolution models of the dominant frequency entropy were nearly the same and shared a characteristic “undulation-decrease-rise-sharp decrease” pattern. Results show that AE energy will be released suddenly before rockburst. The density of intermediate frequency increased prior to rockburst. The dominant frequency entropy reached a relative maximum value before rockburst, and then decreased sharply. These features could be used as a precursory information for predicting rockburst. The proposed relative maximum value could be as a key point to predict rockburst. This is a meaningful attempt on predicting rockburst.

Keywords

rockburst / precursory information / acoustic emission / information entropy / dominant frequency / evolution model

References

[1] LiT, CaiM-F, CaiM. A review of mining-induced seismicity in China [J]. International Journal of Rock Mechanics and Mining Sciences, 2007, 44(8): 1149-1171

[2] GongF-Q, SiX-F, LiX-B. Experimental investigation of strain rockburst in circular caverns under deep three-dimensional high-stress conditions [J]. Rock Mechanics and Rock Engineering, 2019, 52: 1459-1474

[3] XuN-W, TangC-A, LiH, DaiF, MaK, ShaoJ-D, WuJ-C. Excavation-induced microseismicity: Microseismic monitoring and numerical simulation [J]. Journal of Zhejiang University-Science A, 2012, 13(6): 445-460

[4] HardyH R. Application of acoustic emission techniques to rock mechanics research [J]. Acoustic Emission, ASTM International, 1972, 41: 41-43

[5] EberhardtE, SteadD, StimpsonB, ReadR S. Changes in acoustic event properties with progressive fracture damage [J]. International Journal of Rock Mechanics and Mining Sciences, 1997, 34: 3-4

[6] MlakarV, HassaniF P, MomayezM. Crack development and acoustic emission in potash rock [J]. International Journal of Rock Mechanics and Mining Sciences, 1993, 30(3): 305-319

[7] HeM-C, MiaoJ-L, FengJ-L. Rock burst process of limestone and its acoustic emission characteristics under true-triaxial unloading conditions [J]. International Journal of Rock Mechanics and Mining Sciences, 2010, 47(2): 286-298

[8] EberhardtE, SteadD, StimpsoB. Quantifying progressive pre-peak brittle fracture damage in rock during uniaxial compression [J]. International Journal of Rock Mechanics and Mining Sciences, 1999, 36(3): 361-380

[9] MoradianZ A, BallivyG, RivardP, GravelC, RousseauB. Evaluating damage during shear tests of rock joints using acoustic emissions [J]. International Journal of Rock Mechanics and Mining Sciences, 2010, 47(4): 590-598

[10] LuC-P, DouL-M, LiuB, XieY-S, LiuH-S. Microseismic low-frequency precursor effect of bursting failure of coal and rock [J]. Journal of Applied Geophysics, 2012, 79: 55-63

[11] EberhardtE, SteadD, StimpsonB, ReadR S. Identifying crack initiation and propagation thresholds in brittle rock [J]. Canadian Geotechnical Journal, 1998, 35(2): 222-233

[12] AnzaniA, BindaL, CarpinteriG, CarpinterA, LacidognaG, ManuelloA. Evaluation of the repair on multiple leaf stone masonry by acoustic emission [J]. Materials and Structures, 2008, 41(6): 1169-1189

[13] CheonD S, JungY B, ParkE S, SongW K, JangH L. Evaluation of damage level for rock slopes using acoustic emission technique with waveguides [J]. Engineering Geology, 2011, 121(1): 75-88

[14] WangC-L. Identification of early-warning key point for rockmass instability using acoustic emission/microseismic activity monitoring [J]. International Journal of Rock Mechanics and Mining Sciences, 2014, 71: 171-175

[15] WangC-L, HouX-L, LiaoZ-F, ChenZ, LuZ-J. Experimental investigation of predicting coal failure using acoustic emission energy and load-unload response ratio theory [J]. Journal of Applied Geophysics, 2019, 161(2): 76-83

[16] ZhaoX G, WangJ, CaiM, ChengC, MaL K, SuR, ZhaoF, LiD J. Influence of unloading rate on the strainburst characteristics of Beishan granite under true-triaxial unloading conditions [J]. Rock Mechanics and Rock Engineering, 2014, 47(2): 467-483

[17] ChaiM-Y, ZhangZ-X, DuanQ. A new qualitative acoustic emission parameter based on Shannon’s entropy for damage monitoring [J]. Mechanical Systems and Signal Processing, 2018, 100: 617-629

[18] StephensR W, PollockA. Waveforms and frequency spectra of acoustic emissions [J]. Journal of The Acoustical Society of America, 1971, 50(3B): 904-910

[19] IabbacchioneA T, ProsserL J, GrauR, OylerD C, DolinarD R. Roof monitoring helps prevent injuries in stone mines [J]. Mining Engineering, 2000, 52: 32-37

[20] ZhouZ-L, ChengR-S, ChenL-J, ZhouJ, CaiX. An improved joint method for onset picking of acoustic emission signals with noise [J]. Journal of Central South University, 2019, 26(10): 2878-2890

[21] BensonP M, VinciguerraS, MeredithP G, YoungR P. Spatio-temporal evolution of volcano seismicity; A laboratory study [J]. Earth and Planetary Science Letters, 2010, 297(1): 315-323

[22] HeM-C, MiaoJ-L, LiD-J, WangC-G. Experimental study on rockburst processes of granite specimen at great depth [J]. Chinese Journal of Rock Mechanics and Engineering, 2007, 26: 865-876

[23] HeM-C, NieW, ZhaoZ-Y, GuoW-H. Experimental investigation of bedding plane orientation on the rockburst behavior of sandstone [J]. Rock Mechanics and Rock Engineering, 2012, 45(3): 311-326

[24] LuC-P, DouL-M, LiuH, LiuH-S, LiuB, DuB-B. Case study on microseismic effect of coal and gas outburst process [J]. International Journal of Rock Mechanics and Mining Sciences, 2012, 53: 101-110

[25] LuC-P, DouL-M, ZhangN, XueJ-H, WangX-N, LiuH, ZhangJ-W. Microseismic frequency-spectrum evolutionary rule of rockburst triggered by roof fall [J]. International Journal of Rock Mechanics and Mining Sciences, 2013, 64: 6-16

[26] LovalloM, LapennaV, TelescaL. Transition matrix analysis of earthquake magnitude sequences [J]. Chaos, Solitons & Fractals, 2005, 24(1): 33-43

[27] MainI G, NaylorM. Entropy production and self-organized (sub) criticality in earthquake dynamics [J]. Philosophical Transactions of the Royal Society of London Series A-Mathematical Physical and Engineering Sciences, 2010, 368: 131-144

[28] PalusM. Detecting nonlinearity in multivariate time series [J]. Physics Letters A, 1996, 213(3): 138-147

[29] PalusM, AlbrechtV, DvorakI. Information theoretic test for nonlinearity in time series [J]. Physics Letters A, 1993, 175(34): 203-209

[30] ChenX-X, ChenJ-S, WangT, ZhouH-D, LiuL-H. Characterization of seepage velocity beneath a complex rock mass dam based on entropy theory [J]. Entropy, 2016, 18(8): 293-305

[31] GongF-Q, YanJ-Y, LiX-B, LuoS. A peak-strength strain energy storage index for rock burst proneness of rock materials [J]. International Journal of Rock Mechanics and Mining Sciences, 2019, 117: 76-89

[32] SiX-F, GongF-Q. Strength-weakening effect and shear-tension failure mode transformation mechanism of rockburst for fine-grained granite under triaxial unloading compression [J]. International Journal of Rock Mechanics and Mining Science, 2020, 131104347

[33] LiX-B, DuK, LiD-Y. True triaxial strength and failure modes of cubic rock specimens with unloading the minor principal stress [J]. Rock Mechanics and Rock Engineering, 2015, 48(6): 2185-2196

[34] CooleyJ W, TukeyJ W. An algorithm for the machine calculation of complex Fourier series [J]. Mathematics of Computation, 1965, 19(90): 297-301

[35] ShannonC E. A Mathematical theory of communication [J]. Bell System Technical Journal, 1948, 27(3): 379-423

[36] DuK, TaoM, LiX-B, ZhouJ-A. Experimental study of slabbing and rockburst induced by true-triaxial unloading and local dynamic disturbance [J]. Rock Mechanics and Rock Engineering, 2016, 49(9): 3437-3453

[37] CaiM, KaiserP K, MoriokaH, MinamiM, MaejimaH, TasakaY, KuroseH. FLAC/PFC coupled numerical simulation of AE in large-scale underground excavations [J]. International Journal of Rock Mechanics and Mining Sciences, 2007, 44(4): 550-564

[38] MONTOTO M, SUAREZ L M, KHAIR A W, HARDY H R. AE in uniaxially loaded granitic rocks in relation to their petrographic character [J]. Trans Tech Pub Clausthal, 1984: 83–100.

[39] BakkerR R, FazioM, BensonP M, HessK, DingwellD B. The propagation and seismicity of dyke injection, new experimental evidence [J]. Geophysical Research Letters, 2016, 43(5): 1876-1883