Abstract
The early prediction of violent coal-bearing strata failure using effective monitoring is crucial to avoid losses due to catastrophic failures and geological disasters to ensure safe and efficient underground deep coal mining. In this study, the early coal failure precursor was established by researching the application of critical slowing down theory (CSDT) using two infrared radiation (IR) indexes, i.e., variance IR temperature (VIRT) and variance of differential infrared image temperature (VDIIT) under different loading rates. The CSDT parameters: variance and autocorrelation, are evaluated using both indexes in different time window and lag step lengths. The test results revealed that the abrupt and significant fluctuations in variance and autocorrelation for both indexes occurred during rock deformation and before the violent damage. The autocorrelation comparatively shows an obvious reliable fluctuation due to stationarity (show no change in fluctuation before the inflection point), which can be used as a precursor for violent rock failure. It has been shown that the stress level of autocorrelation at the inflection point decreases inversely with the loading rate for both indexes. These stress levels for VIRT are 0.920, 0.890, 0.865, and 0.813 of the σmax under the corresponding loading rates of 0.1, 0.4, 0.7, and 1.0 mm/min, respectively. For VDIIT, at loading rates of 0.1, 0.4, 0.7, and 1.0 mm/min the stress levels are 0.930, 0.892, 0.870, and 0.815 σmax, respectively. Therefore, it has been recommended that the prediction performance of precursory characteristics of IR can be improved by applying the CSDT for an early prediction of rock failure.
Highlights
-
In this study, the early coal failure precursor was established by exploring the application of critical slowing down theory (CSDT) under different loading rates.
-
During different loading rates, the CSDT parameters variance and autocorrelation are evaluated using IR indexes, i.e., variance infrared radiation temperature (VIRT) and variance of differential infrared image temperature (VDIIT) under different window and lag step lengths.
-
The test results revealed that the abrupt and significant fluctuations in variance and autocorrelation for VIRT and VDIIT occurred during rock deformation and violent damage.
-
The autocorrelation comparatively shows a reliable fluctuation due to stationarity, which can be used as a precursor for rock failure.
-
The precursor information based on autocorrelation stress level decreases (about 3.4% for VIRT and 4.2% for VDIIT) with an increase in loading rate.
Similar content being viewed by others
References
Anderson CN, Hsieh C-h, Sandin SA, Hewitt R, Hollowed A, Beddington J, May RM, Sugihara G (2008) Why fishing magnifies fluctuations in fish abundance. Nature 452(7189):835–839
Bai Q, Zhang C, Paul Young R (2022) Using true-triaxial stress path to simulate excavation-induced rock damage: a case study. Int J Coal Sci Technol 9(1):49. https://doi.org/10.1007/s40789-022-00522-z
Beck K, Fletcher M, Gadd P, Heijnis H, Saunders K, Simpson G (2018) Variance and Rate-of-Change as early warning signals for a critical transition in an aquatic ecosystem state: a test case from tasmania, australia. J Geophys Res 123:495–508
Cao K, Ma L, Wu Y, Khan N, Yang J (2020a) Using the characteristics of infrared radiation during the process of strain energy evolution in saturated rock as a precursor for violent failure. Infrared Phys Technol 109:103406
Cao K, Ma L, Zhang D, Lai X, Zhang Z, Khan NMM (2020b) An experimental study of infrared radiation characteristics of sandstone in dilatancy process. Int J Rock Mech Min Sci 136:104503
Cao K, Ma L, Wu Y, Khan NM, Spearing AJS, Hussain S, Yang J (2021) Cyclic fatigue characteristics of rock failure using infrared radiation as precursor to violent failure: experimental insights from loading and unloading response. Fatigue Fract Eng Mater Struct 44(2):584–594. https://doi.org/10.1111/ffe.13362
Cao K, Ma L, Wu Y, Spearing AS, Khan NM, Hussain S, Rehman FU (2022) Statistical damage model for dry and saturated rock under uniaxial loading based on infrared radiation for possible stress prediction. Eng Fract Mech 260:108134
Chen Y, Zuo J, Liu D, Li Y, Wang Z (2021) Experimental and numerical study of coal-rock bimaterial composite bodies under triaxial compression. Int J Coal Sci Technol 8(5):908–924. https://doi.org/10.1007/s40789-021-00409-5
Chi X, Yang K, Wei Z (2021) Breaking and mining-induced stress evolution of overlying strata in the working face of a steeply dip** coal seam. Int J Coal Sci Technol 8(4):614–625. https://doi.org/10.1007/s40789-020-00392-3
Dakos V, Scheffer M, van Nes E, Brovkin V, Petoukhov V, Held H (2008) Slowing down reveals climatic tip** points. Proc Natl Acad Sci USA 105:14308–14312
Feng F, Chen S, Zhao X, Li D, Wang X, Cui J (2022) Effects of external dynamic disturbances and structural plane on rock fracturing around deep underground cavern. Int J Coal Sci Technol 9(1):15. https://doi.org/10.1007/s40789-022-00487-z
Gao R, Kuang T, Zhang Y, Zhang W, Quan C (2021) Controlling mine pressure by subjecting high-level hard rock strata to ground fracturing. Int J Coal Sci Technol 8(6):1336–1350. https://doi.org/10.1007/s40789-020-00405-1
Gopalakrishnan E, Sharma Y, John T, Dutta PS, Sujith R (2016) Early warning signals for critical transitions in a thermoacoustic system. Sci Rep 6(1):1–10
Hao W, Wei H, Peng-Cheng Y (2013) Using the principle of critical slowing down to discuss the abrupt climate change. Acta Phys Sin 62(3):039206
He S, Qin M, Qiu L, Song D, Zhang X (2022) Early warning of coal dynamic disaster by precursor of AE and EMR “quiet period.” Int J Coal Sci Technol 9(1):46. https://doi.org/10.1007/s40789-022-00514-z
Huang P, Zhang J, Damascene NJ, Wang Z, Li M (2022) Effect of loading rate on mechanical behavior of coal samples with initial damage accumulation. Mech Time-Depend Mater 26:309–322. https://doi.org/10.1007/s11043-021-09489-x
Huang B, Liu M (2013) The effect of loading rate on the behavior of samples composed of coal and rock. Int J Rock Mech Min Sci 61:23–30
Jangara H, Ozturk CA (2021) Longwall top coal caving design for thick coal seam in very poor strength surrounding strata. Int J Coal Sci Technol 8(4):641–658. https://doi.org/10.1007/s40789-020-00397-y
Khan NM, Ma L, Cao K, Hussain S, Liu W, Xu Y, Yuan Q, Gu J (2021) Prediction of an early failure point using infrared radiation characteristics and energy evolution for sandstone with different water contents. Bull Eng Geol Environ. https://doi.org/10.1007/s10064-021-02345-9
Khan NM, Ma L, Cao K, Hussain S, Liu W, Xu Y (2022) Infrared radiation characteristics based rock failure indicator index for acidic mudstone under uniaxial loading. Arab J Geosci 15(4):1–15
Kim B-H, Walton G, Larson MK, Berry S (2021) Investigation of the anisotropic confinement-dependent brittleness of a Utah coal. Int J Coal Sci Technol 8(2):274–290. https://doi.org/10.1007/s40789-020-00364-7
Kong X, Wang E, Hu S, Li Z, Liu X, Fang B, Zhan T (2015) Critical slowing down on acoustic emission characteristics of coal containing methane. J Nat Gas Sci Eng 24:156–165
Li Y, Yang R, Fang S, Lin H, Lu S, Zhu Y, Wang M (2022) Failure analysis and control measures of deep roadway with composite roof: a case study. Int J Coal Sci Technol 9(1):2. https://doi.org/10.1007/s40789-022-00469-1
Lian X, Hu H, Li T, Hu D (2020) Main geological and mining factors affecting ground cracks induced by underground coal mining in Shanxi Province, China. Int J Coal Sci Technol 7(2):362–370. https://doi.org/10.1007/s40789-020-00308-1
Liu S, Wei J, Huang J, Wu L, Zhang Y, Tian B (2015) Quantitative analysis methods of infrared radiation temperature field variation in rock loading process. Chin J Rock Mech Eng 34:2968–2976
Liu B, Zhao Y, Zhang C, Zhou J, Li Y, Sun Z (2021a) Characteristic strength and acoustic emission properties of weakly cemented sandstone at different depths under uniaxial compression. Int J Coal Sci Technol 8(6):1288–1301. https://doi.org/10.1007/s40789-021-00462-0
Liu T, Lin B, Fu X, Liu A (2021b) Mechanical criterion for coal and gas outburst: a perspective from multiphysics coupling. Int J Coal Sci Technol 8(6):1423–1435. https://doi.org/10.1007/s40789-021-00447-z
Liu W, Ma L, Sun H, Khan NM (2021c) An experimental study on infrared radiation and acoustic emission characteristics during crack evolution process of loading rock. Infrared Phys Technol 118:103864
Liu W, Ma L, Sun H, Khan NM (2021d) Using the characteristics of infrared radiation b-value during the rock fracture process to offer a precursor for serious failure. Infrared Phys Technol 114:103644
Ma L, Zhang Y (2019) An experimental study on infrared radiation characteristics of sandstone samples under uniaxial loading. Rock Mech Rock Eng. https://doi.org/10.1007/s00603-018-1688-6
Ma L, Sun H, Zhang Y, Zhou T, Li K, Guo J (2016) Characteristics of infrared radiation of coal specimens under uniaxial loading. Rock Mech Rock Eng 49(4):1567–1572
Ma L, Zhang Y, Cao K, Wang Z (2019) An experimental study on infrared radiation characteristics of sandstone samples under uniaxial loading. Rock Mech Rock Eng 52(9):3493–3500. https://doi.org/10.1007/s00603-018-1688-6
Ma L, Khan NM, Cao K, Rehman H, Salman S, Rehman FU (2022a) Prediction of sandstone dilatancy point in different water contents using infrared radiation characteristic: experimental and machine learning approaches. Lithosphere 2021(4):3243070
Ma L, Sun H, Ngo I, Han J (2022b) Infrared radiation quantification of rock damage and its constitutive modeling under loading. Infrared Phys Technol 121:104044
Meng Q, Zhang M, Han L, Pu H, Nie T (2016) Effects of acoustic emission and energy evolution of rock specimens under the uniaxial cyclic loading and unloading compression. Rock Mech Rock Eng 49(10):3873–3886
Moradian Z, Einstein HH, Ballivy G (2016) Detection of cracking levels in brittle rocks by parametric analysis of the acoustic emission signals. Rock Mech Rock Eng 49(3):785–800
Nikolenko PV, Epshtein SA, Shkuratnik VL, Anufrenkova PS (2021) Experimental study of coal fracture dynamics under the influence of cyclic freezing–thawing using shear elastic waves. Int J Coal Sci Technol 8(4):562–574. https://doi.org/10.1007/s40789-020-00352-x
Pan W, Pan W, Luo J, Fan L, Li S, Erdenebileg U (2021) Slope stability of increasing height and expanding capacity of south dum** site of Hesgoula coal mine: a case study. Int J Coal Sci Technol 8(3):427–440. https://doi.org/10.1007/s40789-020-00335-y
Qin S (2000) Primary discussion on formation mechanism of dissipative structure in instability process of rock mass. Chin J Rock Mech Eng 19(3):265–269
Ramos O (2010) Criticality in earthquakes. Good or bad for prediction? Tectonophysics 485(1–4):321–326
Scheffer M, Carpenter S, Foley JA, Folke C, Walker B (2001) Catastrophic shifts in ecosystems. Nature 413(6856):591–596
Scheffer M, Bascompte J, Brock WA, Brovkin V, Carpenter SR, Dakos V, Held H, Van Nes EH, Rietkerk M, Sugihara G (2009) Early-warning signals for critical transitions. Nature 461(7260):53–59
Shen R, Li H, Wang E, Chen T, Li T, Tian H, Hou Z (2020) Infrared radiation characteristics and fracture precursor information extraction of loaded sandstone samples with varying moisture contents. Int J Rock Mech Min Sci 130:104344. https://doi.org/10.1016/j.ijrmms.2020.104344
Shumway RH, Stoffer DS, Stoffer DS (2000) Time series analysis and its applications, vol 3. Springer, New York
Sun H, Ma L, Fu Y, Han J, Liu S, Chen M, Li Z, Tian F (2021a) Infrared radiation test on the influence of water content on sandstone damage evolution. Infrared Phys Technol 118:103876
Sun H, Ma L, Konietzky H, Yuanyuan D, Wang F (2021b) Characteristics and generation mechanisms of key infrared radiation signals during damage evolution in sandstone. Acta Geotech. https://doi.org/10.1007/s11440-021-01331-5
Van Nes EH, Scheffer M (2007) Slow recovery from perturbations as a generic indicator of a nearby catastrophic shift. Am Nat 169(6):738–747
Vasseur J, Wadsworth FB, Lavallée Y, Bell AF, Main IG, Dingwell DB (2015) Heterogeneity: the key to failure forecasting. Sci Rep 5(1):1–7
Wei Y, Li Z, Kong X, Zhang Z, Cheng F, Zheng X, Wang C (2018) The precursory information of acoustic emission during sandstone loading based on critical slowing down theory. J Geophys Eng 15(5):2150–2158
Wei C, Zhang C, Canbulat I, Song Z, Dai L (2022) A review of investigations on ground support requirements in coal burst-prone mines. Int J Coal Sci Technol 9(1):13. https://doi.org/10.1007/s40789-022-00485-1
Wu L, Wang J (1998) Infrared radiation features of coal and rocks under loading. Int J Rock Mech Min Sci 35(7):969–976. https://doi.org/10.1016/S0148-9062(98)00007-2
Wu R, Zhang P, Kulatilake PHSW, Luo H, He Q (2021) Stress and deformation analysis of gob-side pre-backfill driving procedure of longwall mining: a case study. Int J Coal Sci Technol 8(6):1351–1370. https://doi.org/10.1007/s40789-021-00460-2
Wu H, Chen Y, Lv H, **e Q, Chen Y, Gu J (2022) Stability analysis of rib pillars in highwall mining under dynamic and static loads in open-pit coal mine. IInt J Coal Sci Technol 9(1):38. https://doi.org/10.1007/s40789-022-00504-1
Xue D, Zhou J, Liu Y, Gao L (2020) On the excavation-induced stress drop in damaged coal considering a coupled yield and failure criterion. Int J Coal Sci Technol 7(1):58–67. https://doi.org/10.1007/s40789-020-00299-z
Yan R, Jiang C-S, Zhang L-P (2011) Study on critical slowing down phenomenon of radon concentrations in water before the Wenchuan MS8. 0 earthquake. Chin J Geophys 54(7):1817–1826
Yang D, Ning Z, Li Y, Lv Z, Qiao Y (2021) In situ stress measurement and analysis of the stress accumulation levels in coal mines in the northern Ordos Basin, China. Int J Coal Sci Technol 8(6):1316–1335. https://doi.org/10.1007/s40789-021-00407-7
Yao Q, Chen T, Tang C, Sedighi M, Wang S, Huang Q (2019) Influence of moisture on crack propagation in coal and its failure modes. Eng Geol 258:105156
Yuan Y, Wang S, Wang W, Zhu C (2021) Numerical simulation of coal wall cutting and lump coal formation in a fully mechanized mining face. Int J Coal Sci Technol 8(6):1371–1383. https://doi.org/10.1007/s40789-020-00398-x
Zhang X, Li Z, Niu Y, Cheng F, Ali M, Bacha S (2019) An experimental study on the precursory characteristics of EP before sandstone failure based on critical slowing down. Appl Geophys 170:103818
Zhang Z, Chen T, Ma K, Liu T, Deng J (2020) Precursory indicator for mode i fracture in brittle rock through critical slowing down analysis. Shock Vib 2020:8820506. https://doi.org/10.1155/2020/8820506
Zhang S, Lu L, Wang Z, Wang S (2021a) A physical model study of surrounding rock failure near a fault under the influence of footwall coal mining. Int J Coal Sci Technol 8(4):626–640. https://doi.org/10.1007/s40789-020-00380-7
Zhang Z, Li Y, Hu L, Zheng H (2021b) Predicting rock failure with the critical slowing down theory. Eng Geol 280:105960
Zhao Y, Jiang Y (2010) Acoustic emission and thermal infrared precursors associated with bump-prone coal failure. Int J Coal Geol 83(1):11–20
Acknowledgements
This paper was supported by the National Natural Science Foundation of China (51874280).
Author information
Authors and Affiliations
Corresponding author
Ethics declarations
Conflict of interest
We declare that we do not have any commercial or associative interest that represents a conflict of interest in connection with the work submitted.
Additional information
Publisher's Note
Springer Nature remains neutral with regard to jurisdictional claims in published maps and institutional affiliations.
Rights and permissions
Springer Nature or its licensor holds exclusive rights to this article under a publishing agreement with the author(s) or other rightsholder(s); author self-archiving of the accepted manuscript version of this article is solely governed by the terms of such publishing agreement and applicable law.
About this article
Cite this article
Khan, N.M., Ma, L., Cao, K. et al. Early Violent Failure Precursor Prediction Based on Infrared Radiation Characteristics for Coal Specimens Under Different Loading Rates. Rock Mech Rock Eng 55, 6939–6961 (2022). https://doi.org/10.1007/s00603-022-03021-4
Received:
Accepted:
Published:
Issue Date:
DOI: https://doi.org/10.1007/s00603-022-03021-4