SpringerLink
Log in

Three-dimensional acoustic emission source localization method for layered rock considering anisotropic P-wave velocity

  • Original Paper
  • Published:
Bulletin of Engineering Geology and the Environment Aims and scope Submit manuscript

Abstract

Using acoustic emission (AE) technique to locate the microcracking of rock samples in the process of rock mechanics test is one of the most effective means to study the spatio-temporal evolution of rock failure. At present, the research on AE source localization method for layered rock considering anisotropic P-wave velocity is insufficient and the location methods are usually two-dimensional. This paper first analyses the characteristics of P-wave velocity of layered rocks, and a method for establishing anisotropic P-wave velocity model of layered rocks is introduced. Then, a three-dimensional AE source localization method for layered rocks is proposed based on the anisotropic P-wave velocity model and simplex algorithm. The influences of iterative initial value, iterative contraction length, number of iterations and P-wave velocity measurement error on the positioning accuracy of this method are studied. And selection methods of those iterative parameters are introduced. Finally, the numerical analysis and true triaxial compression tests for quartz mica schist, quartz schist and black shale are conducted to verify the high location accuracy and efficiency of the proposed method. Numerical tests show that the average absolute distance errors of AE location results are less than 1 mm when the P-wave velocity measurement error is less than 5%, which is much less than that arising from use of the traditional simplex method. And the AE location results are consistent with the failure modes of the true triaxial compression test rock samples.

This is a preview of subscription content, log in via an institution to check access.

Access this article

Log in via an institution

Subscribe and save

Springer+ Basic
EUR 32.99 /Month
  • Get 10 units per month
  • Download Article/Chapter or Ebook
  • 1 Unit = 1 Article or 1 Chapter
  • Cancel anytime
Subscribe now

Buy Now

Price includes VAT (Germany)

Instant access to the full article PDF.

Institutional subscriptions

Fig. 1
Fig. 2
Fig. 3
Fig. 4
Fig. 5
Fig. 6
Fig. 7
Fig. 8
Fig. 9
Fig. 10
Fig. 11
Fig. 12
Fig. 13
Fig. 14
Fig. 15
Fig. 16
Fig. 17
Fig. 18
Fig. 19

Similar content being viewed by others

Data Availability

The data that support the findings of this study are available from the corresponding author.

References

  • Bai Q, Tibbo M, Nasseri MHB, Young RP (2019) True triaxial experimental investigation of rock response around the mine-by tunnel under an in situ 3D stress path. Rock Mech Rock Eng 52(10):3971–3986

    Article  Google Scholar 

  • Chu C, Wu S, Zhang S, Guo P, Zhang M (2020) Mechanical behavior anisotropy and fracture characteristics of bedded sandstone. J Central South Univ (science and Technology) 51(8):2232–2246

    Google Scholar 

  • Davi R, Vavryčuk V, Charalampidou E, Kwiatek G (2013) Network sensor calibration for retrieving accurate moment tensors of acoustic emissions. Int J Rock Mech Min 62:59–67

    Article  Google Scholar 

  • Debecker B, Vervoort A (2011) Localization by acoustic emission in transversely isotropic slate. Adv Acous Vib 2011:1–10

    Google Scholar 

  • Ding C, Hu D, Zhou H, Lu J, Lv T (2020) Investigations of P-wave velocity, mechanical behavior and thermal properties of anisotropic slate. Int J Rock Mech Min 127:104176

    Article  Google Scholar 

  • Dong L, Li X, Zhou Z, Chen G, Ma J (2015) Three-dimensional analytical solution of acoustic emission source location for cuboid monitoring network without pre-measured wave velocity. T Nonferr Metal Soc 25(1):293–302

    Article  Google Scholar 

  • Dong L, Hu Q, Tong X, Liu Y (2020) Velocity-free MS/AE source location method for three-dimensional hole-containing structures. Engineering 6(7):827–834

    Article  Google Scholar 

  • Dresen G, Stanchits S, Rybacki E (2010) Borehole breakout evolution through acoustic emission location analysis. Int J Rock Mech Min 47(3):426–435

    Article  Google Scholar 

  • Fedorow VV (1974) Regression problems with controllable variables subject to error. Biometrika 61:49–55

    Article  Google Scholar 

  • Feng X, Yu X, Zhou Y, Yang C, Wang F (2023) A rigid true triaxial apparatus for analyses of deformation and failure features of deep weak rock under excavation stress paths. J Rock Mech Geotech 15(5):1065–1075

    Article  Google Scholar 

  • Geiger L (1912) Probability method for the determination of earthquake epicenters from the arrival time only. Bull St Louis Unic 8:60–71

    Google Scholar 

  • Goebel THW, Kwiatek G, Becker TW, Brodsky EE, Dresen G (2017) What allows seismic events to grow big?: insights from b-value and fault roughness analysis in laboratory stick-slip experiments. Geology 45(9):815–818

    Article  Google Scholar 

  • Grosse CU, Ohtsu M, Aggelis DG, Shiotani T (2022) Acoustic emission testing: basics for research–applications in engineering. Springer Nature, Switzerland

  • Guo TY, Wong LNY (2020) Microcracking behavior of three granites under mode I loading: insights from acoustic emission. Eng Geol 278:105823

    Article  Google Scholar 

  • Guo TY, Wong LNY (2021) Cracking mechanisms of a medium-grained granite under mixed-mode I-II loading illuminated by acoustic emission. Int J Rock Mech Min 145:104852

    Article  Google Scholar 

  • Hajzargerbashi T, Kundu T, Bland S (2011) An improved algorithm for detecting point of impact in anisotropic inhomogeneous plates. Ultrasonics 51(3):317–324

    Article  Google Scholar 

  • Ishida T, Labuz JF, Manthei G et al (2017) ISRM suggested method for laboratory acoustic emission monitoring. Rock Mech Rock Eng 50(3):665–674

    Article  Google Scholar 

  • Kundu T, Das S, Jata KV (2009) Detection of the point of impact on a stiffened plate by the acoustic emission technique. Smart Mater Struct 18(3):35006

    Article  Google Scholar 

  • Kwiatek G, Goebel THW, Dresen G (2014) Seismic moment tensor and b value variations over successive seismic cycles in laboratory stick-slip experiments. Geophys Res Lett 41(16):5838–5846

    Article  Google Scholar 

  • Li BQ, Einstein HH (2017) Comparison of visual and acoustic emission observations in a four point bending experiment on Barre granite. Rock Mech Rock Eng 50(9):2277–2296

    Article  Google Scholar 

  • Li BQ, Gonçalves Da Silva B, Einstein H (2019) Laboratory hydraulic fracturing of granite: acoustic emission observations and interpretation. Eng Fract Mech 209:200–220

    Article  Google Scholar 

  • Li J, Li K, Tang S (2023) Automatic arrival-time picking of P- And S-waves of microseismic events based on object detection and CNN. Soil Dyn Earthq Eng 164:107560

    Article  Google Scholar 

  • Li N, Sun W, Huang B, Chen D, Zhang S, Yan M (2021) Acoustic emission source location monitoring of laboratory-scale hydraulic fracturing of coal under true triaxial stress. Nat Resour Res 30(3):2297–2315

    Article  CAS  Google Scholar 

  • Lin H, Sun L (2015) Searching globally optimal parameter sequence for defeating Runge phenomenon by immunity genetic algorithm. Appl Math Comput 264:85–98

    Google Scholar 

  • Liu J, Li Y, Xu S, Xu S, ** C (2015) Cracking mechanisms in granite rocks subjected to uniaxial compression by moment tensor analysis of acoustic emission. Theor Appl Fract Mec 75:151–159

    Article  Google Scholar 

  • Liu X, Feng X, Zhou Y, Sharifzadeh M (2022) Influences of foliation orientation and lateral stress difference on the deformation and fracturing of a thin-layered rock around underground excavations: insight from multi-axial loading tests. B Eng Geol Environ 81(5):171

    Article  Google Scholar 

  • Liu X, Feng X, Zhou Y (2023) Influences of schistosity structure and differential stress on failure and strength behaviors of an anisotropic foliated rock under true triaxial compression. Rock Mech Rock Eng 56(2):1273–1287

    Article  Google Scholar 

  • Naderloo M, Moosavi M, Ahmadi M (2019) Using acoustic emission technique to monitor damage progress around joints in brittle materials. Theor Appl Fract Mec 104:102368

    Article  Google Scholar 

  • Nelder JA, Mead R (1965) A simplex method for function minimization. Comput J 7:308–313

    Article  Google Scholar 

  • Petružálek M, Vilhelm J, Rudajev V, Lokajíček T, Svitek T (2013) Determination of the anisotropy of elastic waves monitored by a sparse sensor network. Int J Rock Mech Min 60:208–216

    Article  Google Scholar 

  • Prugger AF, Gendzwill DJ (1988) Microearthquake location: a nonlinear approach that makes use of a simplex step** procedure. Bull Seismol Soc Am 78(2):799–815

    Article  Google Scholar 

  • Shang X, Wang Y, Miao R (2022) Acoustic emission source location from P-wave arrival time corrected data and virtual field optimization method. Mech Syst Signal Pr 163:108129

    Article  Google Scholar 

  • Shao T, Ji S, Oya S, Michibayashi K, Wang Q (2016) Mica-dominated seismic properties of mid-crust beneath west Yunnan (China) and geodynamic implications. Tectonophysics 677–678:324–338

    Article  Google Scholar 

  • Wong LNY, **ong Q (2018) A method for multiscale interpretation of fracture processes in Carrara marble specimen containing a single flaw under uniaxial compression. J Geophys Res: Solid Earth 123(8):6459–6490

    Article  Google Scholar 

  • Wong LNY, Guo TY, Wu Z, **ao X (2021) How do thermally induced microcracks alter microcracking mechanisms in Hong Kong granite? Eng Geol 292:106268

    Article  Google Scholar 

  • Wu Z, Wang Z, Fan L, Weng L, Liu Q (2021) Micro-failure process and failure mechanism of brittle rock under uniaxial compression using continuous real-time wave velocity measurement. J Cent South Univ 28(2):556–571

    Article  Google Scholar 

  • **ong Q, Hampton JC (2021) A laboratory observation on the acoustic emission point cloud caused by hydraulic fracturing, and the post-pressure breakdown hydraulic fracturing re-activation due to nearby fault. Rock Mech Rock Eng 54(12):5973–5992

    Article  Google Scholar 

  • **ong Q, Lin Q, Hampton JC (2023) Structural control within flawed rock specimens under external loading as visualized through repeating nucleation on multiple sites by acoustic emission (AE). Geophys J Int 233(1):490–509

    Article  Google Scholar 

  • Yin S, Cui Z, Fu J, Kundu T (2019) Acoustic source localization in heterogeneous media. Ultrasonics 99:105957

    Article  Google Scholar 

  • Yin S, **ao H, Cui Z, Kundu T (2021) Rapid localization of acoustic source using sensor clusters in 3D homogeneous and heterogeneous structures. Struct Health Monit 20(3):1145–1155

    Article  Google Scholar 

  • Zhang J, Zhou X (2020) Forecasting catastrophic rupture in brittle rocks using precursory AE time series. J Geophys Res Solid Earth 125:e2019JB019276

  • Zhang J, Wu W, Zhou X (2023) On the Predictability of Localization Instabilities of Quasibrittle Materials from Accelerating Rates of Acoustic Emission. Eng Fract Mech 289:109455

    Article  Google Scholar 

  • Zhang S, Wu S, Chu C, Guo P, Zhang G (2019) Acoustic emission associated with self-sustaining failure in low-porosity sandstone under uniaxial compression. Rock Mech Rock Eng 52(7):2067–2085

    Article  Google Scholar 

  • Zhang S, Wu S, Zhang G, Guo P, Chu C (2020) Three-dimensional evolution of damage in sandstone Brazilian discs by the concurrent use of active and passive ultrasonic techniques. Acta Geotech 15(2):393–408

    Article  Google Scholar 

  • Zhou Y, Feng X, Xu D, Fan Q (2016) Experimental investigation of the mechanical behavior of bedded rocks and its implication for high sidewall caverns. Rock Mech Rock Eng 49(9):3643–3669

    Article  Google Scholar 

  • Zhou Z, Zhou J, Cai X, Rui Y, Chen L, Wang H (2020) Acoustic emission source location considering refraction in layered media with cylindrical surface. T Nonferr Metal Soc 30(3):789–799

    Article  Google Scholar 

  • Zhou Z, Lan R, Rui Y, Dong L, Cai X (2021) A new algebraic solution for acoustic emission source localization without premeasuring wave velocity. Sensors 21(2):459

    Article  Google Scholar 

  • Zhu M, Wang L, Liu X, Zhao J, Peng PA (2018) Accurate identification of microseismic P- and S-phase arrivals using the multi-step AIC algorithm. J Appl Geophys 150:284–293

    Article  Google Scholar 

Download references

Acknowledgements

This study was financially supported by the National Natural Science Foundation of China under Grant No. 52079027. The authors also thank Dr. Xu-feng Liu at Institute of Rock and Soil Mechanics, Chinese Academy of Sciences, China, for his assistance in paper revision.

Funding

National Natural Science Foundation of China, 52079027, Yangyi Zhou.

Author information

Authors and Affiliations

  1. Key Laboratory of Ministry of Education On Safe Mining of Deep Metal Mines, School of Resources and Civil Engineering, Northeastern University, Shenyang, 110819, China

    Tianxiang Song, Yangyi Zhou & **aojun Yu

  2. Key Laboratory of Liaoning Province On Deep Engineering and Intelligent Technology, Northeastern University, Shenyang, 110819, China

    Tianxiang Song, Yangyi Zhou & **aojun Yu

Authors
  1. Tianxiang Song
    View author publications

    You can also search for this author in PubMed Google Scholar

  2. Yangyi Zhou
    View author publications

    You can also search for this author in PubMed Google Scholar

  3. **aojun Yu
    View author publications

    You can also search for this author in PubMed Google Scholar

Corresponding author

Correspondence to Yangyi Zhou.

Ethics declarations

Conflict of Interest

The authors declare no conflict of interest.

Competing interest

The authors declare that they have no known competing financial interests or personal relationships that could have appeared to influence the work reported in this paper.

Rights and permissions

Reprints and permissions

About this article

Check for updates. Verify currency and authenticity via CrossMark

Cite this article

Song, T., Zhou, Y. & Yu, X. Three-dimensional acoustic emission source localization method for layered rock considering anisotropic P-wave velocity. Bull Eng Geol Environ 83, 185 (2024). https://doi.org/10.1007/s10064-024-03692-z

Download citation

  • Received:

  • Accepted:

  • Published:

  • DOI: https://doi.org/10.1007/s10064-024-03692-z

Keywords

Search

Navigation