Technical Papers
Oct 21, 2021

An Improved Wave Velocity Model for Acoustic Emission Source Localization in Heterogeneous Rock Materials with Unknown Inclusions

Publication: Journal of Engineering Mechanics
Volume 148, Issue 1

Abstract

The accuracy of locating acoustic emission (AE) source location is closely related to the reasonability of the adopted wave velocity model. However, it is literally hard to obtain an accurate wave velocity model for a heterogeneous rock material due to its inner invisible inclusions and local defects, making the AE source localization very challenging. To obtain a more appropriate wave velocity model for the heterogeneous rock material having unknown inclusions, in this study the projective reconstruction method (PRM) was utilized to determine the wave velocity model. Because the PRM is irrelevant to the continuous assumption, the proposed wave velocity model can well reflect the discontinuous characteristics of the real wave velocity field in rock materials. Then, the proposed wave velocity model was incorporated into an arrival time-based governing equation to locate the AE source. To demonstrate the effectiveness of the proposed method in improving the AE source location accuracy and monitoring the rock failure process, lead-break tests and three-point bending tests were conducted on the composite rock and rock-like specimens, respectively. Results show that the improved wave velocity model obtained by the PRM can significantly improve the accuracy of AE source location in the heterogeneous rock material with unknown inclusions.

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Data Availability Statement

All data and models generated during the study (theoretical results, Matlab code, and experimental data) are available from the corresponding author by request.

Acknowledgments

The research work is supported by the National Natural Science Foundation of China (Grant Nos. 41502283 and 41772309), National Key Research and Development Program of China (2017YFC1501302), and Outstanding Youth Foundation of Hubei Province, China (No. 2019CFA074).

References

Aki, K., and W. H. K. Lee. 1976. “Determination of three-dimensional velocity anomalies under a seismic array using first P arrival times from local earthquakes: 1. A homogeneous initial model.” J. Geophys. Res. 81 (23): 4381–4399. https://doi.org/10.1029/JB081i023p04381.
Baud, P., A. Schubnel, M. Heap, and A. Rolland. 2017. “Inelastic compaction in high-porosity limestone monitored using acoustic emissions.” J. Geophys. Res.: Solid Earth 122 (12): 9989–10008. https://doi.org/10.1002/2017JB014627.
Blias, E., and V. Grechka. 2013. “Analytic solutions to the joint estimation of microseismic event locations and effective velocity model.” Geophysics 78 (3): KS51–KS61. https://doi.org/10.1190/geo2012-0517.1.
Chu, Z., Z. Wu, Q. Liu, L. Weng, Z. Wang, and Y. Zhou. 2021. “Evaluating the microstructure evolution behaviors of saturated sandstone using NMR testing under uniaxial short-term and creep compression.” Rock Mech. Rock Eng. 54 (9): 4905–4927. https://doi.org/10.1007/s00603-021-02538-4.
Du, K., X. Li, M. Tao, and S. Wang. 2020. “Experimental study on acoustic emission (AE) characteristics and crack classification during rock fracture in several basic lab tests.” Int. J. Rock Mech. Min. Sci. 133 (Sep): 104411. https://doi.org/10.1016/j.ijrmms.2020.104411.
Earp, S., and A. Curtis. 2020. “Probabilistic neural network-based 2D travel-time tomography.” Neural Comput. Appl. 32 (22): 17077–17095. https://doi.org/10.1007/s00521-020-04921-8.
Geiger, L. 1912. “Probability method for the determination of earthquake epicenters from the arrival time only.” Bull. St. Louis Univ. 8 (1): 60–71.
Jarillo Michel, O., and I. Tsvankin. 2017. “Waveform inversion for microseismic velocity analysis and event location in VTI media.” Geophysics 82 (4): WA95–WA103. https://doi.org/10.1190/geo2016-0651.1.
Jian-Po, L., Z. Chang-Yin, S. Ying-Tao, W. Ren, L. Gang, and X. Shi-Da. 2020. “Temporal-spatial evolution of acoustic emission during progressive fracture processes around tunnel triggered by blast-induced disturbances under uniaxial and biaxial compression.” Tunnelling Underground Space Technol. 96 (Feb): 103229. https://doi.org/10.1016/j.tust.2019.103229.
Kotsi, M., A. Malcolm, and G. Ely. 2020. “Uncertainty quantification in time-lapse seismic imaging: A full-waveform approach.” Geophys. J. Int. 222 (2): 1245–1263. https://doi.org/10.1093/gji/ggaa245.
Kuang, W., M. Zoback, and J. Zhang. 2017. “Estimating geomechanical parameters from microseismic plane focal mechanisms recorded during multistage hydraulic fracturing.” Geophysics 82 (1): KS1–KS11. https://doi.org/10.1190/geo2015-0691.1.
Labuz, J. F., S. P. Shah, and C. H. Dowding. 1989. “Measurement and description of tensile fracture in granite.” J. Eng. Mech. 115 (9): 1935–1949. https://doi.org/10.1061/(ASCE)0733-9399(1989)115:9(1935).
Liu, Q., Q. Liu, Y. Pan, X. Liu, X. Kong, and P. Deng. 2018. “Microcracking mechanism analysis of rock failure in diametral compression tests.” J. Mater. Civ. Eng. 30 (6): 04018082. https://doi.org/10.1061/(ASCE)MT.1943-5533.0002251.
Lockner, D. 1993. “The role of acoustic emission in the study of rock fracture.” Int. J. Rock Mech. Min. Sci. 30 (7): 883–899. https://doi.org/10.1016/0148-9062(93)90041-B.
Luo, Y., and G. T. Schuster. 1991. “Wave-equation traveltime inversion.” Geophysics 56 (5): 645–653. https://doi.org/10.1190/1.1443081.
Moradian, Z., H. H. Einstein, and G. Ballivy. 2016. “Detection of cracking levels in brittle rocks by parametric analysis of the acoustic emission signals.” Rock Mech. Rock Eng. 49 (3): 785–800. https://doi.org/10.1007/s00603-015-0775-1.
Pei, D., J. A. Quirein, B. E. Cornish, D. Quinn, and N. R. Warpinski. 2009. “Velocity calibration for microseismic monitoring: A very fast simulated annealing (VFSA) approach for joint-objective optimization.” Geophysics 74 (6): WCB47–WCB55. https://doi.org/10.1190/1.3238365.
Prugger, A. F., and D. J. Gendzwill. 1988. “Microearthquake location: A nonlinear approach that makes use of a simplex stepping procedure.” Bull. Seismol. Soc. Am. 78 (2): 799–815. https://doi.org/10.1785/BSSA0780020799.
Richards, P. G., F. Waldhauser, D. Schaff, and W.-Y. Kim. 2006. “The applicability of modern methods of earthquake location.” Pure Appl. Geophys. 163 (2): 351–372. https://doi.org/10.1007/s00024-005-0019-5.
Rodriguez, P., P. B. Arab, and T. B. Celestino. 2016. “Characterization of rock cracking patterns in diametral compression tests by acoustic emission and petrographic analysis.” Int. J. Rock Mech. Min. Sci. 83 (Mar): 73–85. https://doi.org/10.1016/j.ijrmms.2015.12.017.
Šílený, J., D. P. Hill, L. Eisner, and F. H. Cornet. 2009. “Non–double-couple mechanisms of microearthquakes induced by hydraulic fracturing.” J. Geophys. Res. 114 (B8): 1–15. https://doi.org/10.1029/2008jb005987.
Song, F., N. R. Warpinski, and M. N. Toksöz. 2014. “Full-waveform based microseismic source mechanism studies in the Barnett Shale: Linking microseismicity to reservoir geomechanics.” Geophysics 79 (2): KS13–KS30. https://doi.org/10.1190/geo2013-0094.1.
Virieux, J., and S. Operto. 2009. “An overview of full-waveform inversion in exploration geophysics.” Geophysics 74 (6): WCC1–WCC26. https://doi.org/10.1190/1.3238367.
Waldhauser, F., and W. L. Ellsworth. 2000. “A double-difference earthquake location algorithm: Method and application to the northern Hayward fault, California.” Bull. Seismol. Soc. Am. 90 (6): 1353–1368. https://doi.org/10.1785/0120000006.
Wang, H., D. Liu, Z. Cui, C. Cheng, and Z. Jian. 2016. “Investigation of the fracture modes of red sandstone using XFEM and acoustic emissions.” Theor. Appl. Fract. Mech. 85 (Oct): 283–293. https://doi.org/10.1016/j.tafmec.2016.03.012.
Warpinski, N. R., R. B. Sullivan, J. Uhl, C. Waltman, and S. Machovoie. 2003. “Improved microseismic fracture mapping using perforation timing measurements for velocity calibration.” In SPE Annual Technical Conf. and Exhibition, 14–23. Richardson, TX: OnePetro. https://doi.org/10.2118/84488-PA.
Weng, L., L. Huang, A. Taheri, and X. Li. 2017. “Rockburst characteristics and numerical simulation based on a strain energy density index: A case study of a roadway in Linglong gold mine, China.” Tunnelling Underground Space Technol. 69 (Oct): 223–232. https://doi.org/10.1016/j.tust.2017.05.011.
Weng, L., Z. Wu, and Q. Liu. 2020. “Influence of heating/cooling cycles on the micro/macrocracking characteristics of Rucheng granite under unconfined compression.” Bull. Eng. Geol. Environ. 79 (3): 1289–1309. https://doi.org/10.1007/s10064-019-01638-4.
Weng, L., Z. Wu, Q. Liu, Z. Chu, and S. Zhang. 2021. “Evolutions of the unfrozen water content of saturated sandstones during freezing process and the freeze-induced damage characteristics.” Int. J. Rock Mech. Min. Sci. 142 (Jun): 104757. https://doi.org/10.1016/j.ijrmms.2021.104757.
Witten, B., and J. Shragge. 2017. “Image-domain velocity inversion and event location for microseismic monitoring.” Geophysics 82 (5): KS71–KS83. https://doi.org/10.1190/geo2016-0561.1.
Wong, L. N. Y., and Q. Xiong. 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. https://doi.org/10.1029/2018jb015447.
Wu, K., Z. Shao, S. Qin, W. Wei, and Z. Chu. 2021a. “A critical review on the performance of yielding supports in squeezing tunnels.” Tunnelling Underground Space Technol. 115 (Sep): 103815. https://doi.org/10.1016/j.tust.2021.103815.
Wu, Z.-J., Z.-Y. Wang, L.-F. Fan, L. Weng, and Q.-S. Liu. 2021b. “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. https://doi.org/10.1007/s11771-021-4621-1.
Yang, J., Z.-L. Mu, and S.-Q. Yang. 2020. “Experimental study of acoustic emission multi-parameter information characterizing rock crack development.” Eng. Fract. Mech. 232 (Jun): 107045. https://doi.org/10.1016/j.engfracmech.2020.107045.
Yang, Y., J. Wen, and X. Chen. 2015. “Improvements on particle swarm optimization algorithm for velocity calibration in microseismic monitoring.” Earthquake Sci. 28 (4): 263–273. https://doi.org/10.1007/s11589-015-0127-y.
Yu, H., S. M. Hanafy, and G. T. Schuster. 2018. “Wave-equation traveltime inversion with multifrequency bands: Synthetic and land data examples.” Geophysics 83 (6): B305–B315. https://doi.org/10.1190/geo2018-0070.1.
Zhao, X. G., M. Cai, J. Wang, and L. K. Ma. 2013. “Damage stress and acoustic emission characteristics of the Beishan granite.” Int. J. Rock Mech. Min. Sci. 64 (12): 258–269. https://doi.org/10.1016/j.ijrmms.2013.09.003.
Zhou, X. P., Y. J. Lian, L. N. Y. Wong, and F. Berto. 2018. “Understanding the fracture behavior of brittle and ductile multi-flawed rocks by uniaxial loading by digital image correlation.” Eng. Fract. Mech. 199 (Aug): 438–460. https://doi.org/10.1016/j.engfracmech.2018.06.007.

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Go to Journal of Engineering Mechanics
Journal of Engineering Mechanics
Volume 148Issue 1January 2022

History

Received: Dec 22, 2020
Accepted: Sep 10, 2021
Published online: Oct 21, 2021
Published in print: Jan 1, 2022
Discussion open until: Mar 21, 2022

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Authors

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Zhiyang Wang [email protected]
Ph.D. Candidate, School of Civil Engineering, Wuhan Univ., Wuhan 430072, China. Email: [email protected]
Professor, School of Civil Engineering, Wuhan Univ., Wuhan 430072, China (corresponding author). ORCID: https://orcid.org/0000-0002-8804-9583. Email: [email protected]; [email protected]
Zhaofei Chu [email protected]
Assistant Research Fellow, School of Civil Engineering, Wuhan Univ., Wuhan 430072, China. Email: [email protected]
Associate Researcher, School of Civil Engineering, Wuhan Univ., Wuhan 430072, China. Email: [email protected]
Quansheng Liu [email protected]
Professor, Key Laboratory of Safety for Geotechnical and Structural Engineering of Hubei Province, School of Civil Engineering, Wuhan Univ., Wuhan 430072, China. Email: [email protected]

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  • Acoustic Emission Source Localization in Heterogeneous Rocks with Random Inclusions Using a PRM-Based Wave Velocity Model, Rock Mechanics and Rock Engineering, 10.1007/s00603-023-03236-z, (2023).

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