Experimental Study on the Effects of Loading Rates on the Fracture Mechanical Characteristics of Coal Influenced by Long-Term Immersion in Mine Water
Abstract
1. Introduction
2. Coal Samples and Experimental Procedure
2.1. Coal Samples
2.2. Experimental Procedure
3. Experimental Results and Analysis
3.1. Fracture Toughness of Coal
3.1.1. Variations in Fracture Toughness with Immersion Time in Mine Water
3.1.2. Variation of Fracture Toughness with Loading Rate
3.1.3. Changes in Fracture Toughness Relative to Bedding Plane Structure
3.2. Test Load-Displacement Curve
3.3. Fracture Modulus
3.4. Absorb Energy
4. Discussion
4.1. The Influence of Immersion Time in Mine Water on the Mechanical Properties of Coal Fracture
4.2. The Influence of Loading Rate on the Mechanical Properties of Coal Fracture
4.3. The Influence of Layered Structure on the Mechanical Characteristics of Coal Fracture
5. Conclusions
Author Contributions
Funding
Institutional Review Board Statement
Informed Consent Statement
Data Availability Statement
Conflicts of Interest
References
- Colas, E.; Klopries, E.M.; Tian, D.; Kroll, M.; Selzner, M.; Bruecker, C.; Khaledi, K.; Kukla, P.; Preuße, A.; Sabarny, C.; et al. Overview of converting abandoned coal mines to underground pumped storage systems: Focus on the underground reservoir. J. Energy Storage 2023, 73, 109153. [Google Scholar] [CrossRef]
- Sun, Z.B.; Zhao, Y.X.; Ren, J.D. Regional development potential of underground pumped storage power station using abandoned coal mines: A case study of the Yellow River Basin, China. J. Energy Storage 2024, 77, 109992. [Google Scholar] [CrossRef]
- Yang, K.; Fu, Q.; Yuan, L.; Liu, Q.; He, X.; Liu, F. Research on development demand and potential of pumped storage power plants combined with abandoned mines in China. J. Energy Storage 2023, 63, 106977. [Google Scholar] [CrossRef]
- Tao, Y.; Luo, X.; Zhou, J.; Wu, Y.; Zhang, L.; Liu, Y. Site selection for underground pumped storage plant using abandoned coal mine through a hybrid multi-criteria decision-making framework under the fuzzy environment: A case in China. J. Energy Storage 2022, 56, 105957. [Google Scholar] [CrossRef]
- Kretschmann, J.; Efremenkov, A.B.; Khoreshok, A.A. From mining to post-mining: The sustainable development strategy of the German hard coal mining industry. IOP Conf. Ser. Earth Environ. Sci. 2017, 50, 012024. [Google Scholar] [CrossRef]
- Montero, R.A.; Niemann, A.; Schwanenberg, D. Concepts for pumped-storage hydro-electricity using underground coal mines. In Proceedings of the 35th IAHR World Congress, Chengdu, China, 8–13 September 2013; Zhaoyin, W., Lee, J.H., Jizhang, G., Shuyou, C., Eds.; Tsinghua University Press: Beijing, China, 2013. Volume I and II. Available online: http://www.iahr.org.cn/library/infor?pid=15090 (accessed on 1 May 2025).
- Schultz, R.A.; Heinemann, N.; Horváth, B.; Wickens, J.; Miocic, J.M.; Babarinde, O.O.; Cao, W.; Capuano, P.; Dewers, T.A.; Dusseault, M.; et al. An overview of underground energy-related product storage and sequestration. Geol. Soc. Lond. Spec. Publ. 2023, 528, 15–35. [Google Scholar] [CrossRef]
- Li, Y.; Yao, Q.L.; Li, X.H.; Zheng, C.K. Creep characteristics and long-term strength of underground water reservoirs’ coal pillar dam specimens under different osmotic pressures. J. Clean. Prod. 2024, 452, 141901. [Google Scholar] [CrossRef]
- Kong, X.S.; Yang, W.; Shan, R.L.; Wang, S.; Fang, J. Ultimate water level and deformation failures of the artificial dam in the coal mine underground reservoir. Eng. Failure Anal. 2024, 162, 108367. [Google Scholar] [CrossRef]
- Schmidt, F.; Menéndez, J.; Konietzky, H.; Jiang, Z.; Fernández-Oro, J.M.; Álvarez, L.; Bernardo-Sanchez, A. Technical feasibility of lined mining tunnels in closed coal mines as underground reservoirs of compressed air energy storage systems. J. Energy Storage 2024, 78, 110055. [Google Scholar] [CrossRef]
- González-Quirós, A.; Fernández-Álvarez, J.P. Conceptualization and finite element groundwater flow modeling of a flooded underground mine reservoir in the Asturian Coal Basin, Spain. J. Hydrol. 2019, 578, 124036. [Google Scholar] [CrossRef]
- Menendez, J.; Loredo, J.; Galdo, M.; Fernandez-Oro, J.M. Energy storage in underground coal mines in NW Spain: Assessment of an underground lower water reservoir and preliminary energy balance. Renew. Energy 2019, 134, 1381–1391. [Google Scholar] [CrossRef]
- Vishal, V.; Ranjith, P.G.; Singh, T.N. An experimental investigation on behaviour of coal under fluid saturation using acoustic emission. J. Nat. Gas. Sci. Eng. 2015, 22, 428–436. [Google Scholar] [CrossRef]
- Yao, Q.L.; Li, X.H.; Zhou, J.; Ju, M.; Chong, Z.; Zhao, B. Experimental study of strength characteristics of coal specimens after water intrusion. Arab. J. Geosci. 2015, 8, 6779–6789. [Google Scholar] [CrossRef]
- Wang, K.; Jiang, Y.F.; Xu, C. Mechanical properties and statistical damage model of coal with different moisture contents under uniaxial compression. Chin. J. Rock Mech. Eng. 2018, 37, 1070–1079. (In Chinese) [Google Scholar] [CrossRef]
- Qiu, J.L. Experimental study on physical and mechanical properties of coal with different moisture content. J. North. Chin. Institute. Sci. Tech. 2013, 10, 6–9. Available online: https://www.nstl.gov.cn/paper_detail.html?id=f956c9b439cc8b14b1d3a97f71155723 (accessed on 1 May 2025). (In Chinese).
- Ai, T.; Wu, S.; Zhang, R.; Gao, M.; Zhou, J.; Xie, J.; Ren, L.; Zhang, Z. Changes in the structure and mechanical properties of a typical coal induced by water immersion. Int. J. Rock Mech. Min. 2021, 138, 104597. [Google Scholar] [CrossRef]
- Ma, D.; Zhang, J.X.; Duan, H.Y.; Huang, Y.L.; Li, M.; Sun, Q.; Zhou, N. Reutilization of gangue wastes in underground backfilling mining: Overburden aquifer protection. Chemosphere 2021, 264, 128400. [Google Scholar] [CrossRef] [PubMed]
- Xiao, W.J.; Zhang, D.M.; Cai, Y.; Chu, Y.P. Study on loading rate dependence of the coal failure process based on uniaxial compression test. Pure Appl. Geophys. 2020, 177, 4925–4941. [Google Scholar] [CrossRef]
- Huang, B.; Liu, J. The effect of loading rate on the behavior of samples composed of coal and rock. Int. J. Rock Mech. Min. 2013, 61, 23–30. [Google Scholar] [CrossRef]
- Qi, C.Z.; Wang, M.Y.; Qian, Q.H. Strain rate effects on the strength and fragmentation size of rocks. Int. J. Impact. Eng. 2009, 36, 1355–1364. [Google Scholar] [CrossRef]
- Wang, N.; Xu, Y.Q.; Zhu, D.Y.; Wang, N.; Yu, B.F. Acoustic emission and failure modes for coal-rock structure under different loading rates. Adv. Civ. Eng. 2018, 9391780. [Google Scholar] [CrossRef]
- Li, H.T.; Jiang, C.X.; Jiang, Y.D.; Wang, H.W.; Liu, H.B. Mechanical behavior and mechanism analysis of coal samples based on loading rate effect. J. Chin. Univer. Min. Tech. 2015, 44, 430–436. (In Chinese) [Google Scholar] [CrossRef]
- Okubo, S.; Fukui, K.; Qingxin, Q. Uniaxial compression and tension tests of anthracite and loading rate dependence of peak strength. Int. J. Coal Geol. 2006, 68, 196–204. [Google Scholar] [CrossRef]
- Zhao, Y.X.; Liu, S.M.; Zhao, G.F.; Elsworth, D.; Jiang, Y.D.; Han, J.L. Failure mechanisms in coal: Dependence on strain rate and microstructure. J. Geophys. Res. Solid. Earth 2014, 119, 6924–6935. [Google Scholar] [CrossRef]
- Li, H.T.; Zhou, H.W.; Jiang, Y.D.; Wang, H.W. An evaluation method for the bursting characteristics of coal under the effect of loading rate. Rock Mech. Rock Eng. 2016, 49, 3281–3291. [Google Scholar] [CrossRef]
- Huang, P.; Zhang, J.X.; Damascene, N.J.; Wang, Z.J.; Li, M. Effect of loading rate on mechanical behavior of coal samples with initial damage accumulation. Mech. Time-Depend. Mater. 2022, 26, 309–322. [Google Scholar] [CrossRef]
- Fan, H.; Wang, L.; Wang, L.G. Experimental study on mechanical properties of bedding coal under different stress paths. Rock Soil. Mech. 2024, 45, 1–11. (In Chinese) [Google Scholar] [CrossRef]
- Sun, Z.D.; Xie, H.Q.; Feng, G.; Song, X.M.; Chi, M.B.; Meng, T.; Sun, B.L. Effects of sub-/super-critical CO2 on the fracture-related mechanical characteristics of bituminous coal. Front. Earth Sci. 2023, 17, 760–775. [Google Scholar] [CrossRef]
- Gong, S.; Zhao, Y.X.; Wang, Z.; Zhou, L.; Yang, D.; Wang, W. Effect of bedding on the fractal characteristics of dynamic crack propagation in coal rocks. J. China Coal Soc. 2021, 46, 2574–2582. (In Chinese) [Google Scholar] [CrossRef]
- Zhang, J.; Ai, C.; Li, Y.; Che, M.G.; Gao, R.; Zeng, J. Energy-based brittleness index and acoustic emission characteristics of anisotropic coal under triaxial stress condition. Rock Mech. Rock Eng. 2018, 51, 3343–3360. [Google Scholar] [CrossRef]
- Liu, C.; Yin, G.; Li, M.; Shang, D.; Deng, B.; Song, Z. Deformation and permeability evolution of coals considering the effect of beddings. Int. J. Rock Mech. Min. 2019, 117, 49–62. [Google Scholar] [CrossRef]
- Kuruppu, K.D.; Obara, Y.; Ayatollahi, M.R.; Chong, K.P.; Funatsu, T. ISRM-Suggested Method for Determining the Mode I Static Fracture Toughness Using Semi-Circular Bend Specimen. Rock Mech. Rock Eng. 2014, 47, 267–274. [Google Scholar] [CrossRef]
- Liu, X.L.; Zhang, Z.T.; Zhang, R.; Cao, Z.G.; Ren, L.; Sun, Z.W.; Zha, E.S. Energy failure mechanism and bedding effect of immersed coal under uniaxial compression. Adv. Eng. Sci. 2024, 57, 1–15. (In Chinese) [Google Scholar] [CrossRef]
- Chen, T.; Yao, Q.L.; Wei, F.; Chong, Z.H.; Zhou, J.; Wang, C.B.; Li, J. Effects of water intrusion and loading rate on mechanical properties of and crack propagation in coal–rock combinations. J. Cent. South. Univ. 2017, 24, 423–431. [Google Scholar] [CrossRef]
- Li, H.T.; Song, L.; Zhou, H.W.; Song, F. Experimental study of nonlinear evolution mechanism of coal strength under multi-loading rates and its application. Chin. J. Rock Mech. Eng. 2016, 35 (Suppl. 1), 2978–2989. (In Chinese) [Google Scholar] [CrossRef]
- Xie, H.Q.; Feng, G.; Liu, H.Z.; He, Q.; Xiao, M.L.; Pei, J.L.; Taherdangkoo, R. Study on the characteristics of crack initiation in deep dense shale containing circular hole under varying stress conditions. J. Cent. South. Univ. 2025, 32, 244–261. [Google Scholar] [CrossRef]
- Aybar, U.; Eshkalak, M.O.; Sepehrnoori, K.; Patzek, T.W. The effect of natural fracture’s closure on long-term gas production from unconventional resources. J. Nat. Gas. Sci. Eng. 2014, 21, 1205–1213. [Google Scholar] [CrossRef]
- Gholami, R.; Rasouli, V.; Sarmadivaleh, M.; Minaeian, V.; Fakhari, N. Brittleness of gas shale reservoirs: A case study from the north Perth Basin, Australia. J. Nat. Gas. Sci. Eng. 2016, 33, 1244–1259. [Google Scholar] [CrossRef]
- Feng, G.; Wang, X.C.; Wang, M.; Kang, Y. Experimental investigation of thermal cycling effect on fracture characteristics of granite in a geothermal-energy reservoir. Eng. Fract. Mech. 2020, 235, 107180. [Google Scholar] [CrossRef]
- Wu, N.; Liang, Z.Z.; Zhou, J.R.; Zhang, Y.Z. Energy evolution characteristics of coal specimens with preformed holes under uniaxial compression. Geomech. Eng. 2020, 1, 55–66. [Google Scholar] [CrossRef]
- Wang, J.; Qiu, P.Q.; Ning, J.G.; Zhuang, L.; Yang, S. A numerical study of the mining-induced energy redistribution in a coal seam adjacent to an extracted coal panel during longwall face mining: A case study. Energy Sci. Eng. 2020, 8, 817–835. [Google Scholar] [CrossRef]
- Wasantha, P.L.P.; Ranjith, P.G.; Shao, S.S. Energy monitoring and analysis during deformation of bedded-sandstone: Use of acoustic emission. Ultrasonics 2014, 54, 217–226. [Google Scholar] [CrossRef] [PubMed]
- Feng, G.; Kang, Y.; Wang, X.C.; Hu, Y.Q.; Li, X.H. Investigation on the failure characteristics and fracture classification of shale under Brazilian test conditions. Rock Mech. Rock Eng. 2020, 53, 3325–3340. [Google Scholar] [CrossRef]
- Zou, J.; Li, S. Theoretical solution for displacement and stress in strain-softening surrounding rock under hydraulic-mechanical coupling. Sci. China Technol. Sci. 2015, 58, 1401–1413. [Google Scholar] [CrossRef]
- Chen, T.; Yao, Q.; Du, M.; Zhu, C.; Zhang, B. Experimental research of effect of water intrusion times on crack propagation in coal. Chin. J. Rock Mech. Eng. 2016, 35, 3756–3762. (In Chinese) [Google Scholar] [CrossRef]
- Yao, Q.; Liu, Y.; Chen, T.; Li, X.; Yang, S.; Duan, H. Experimental study of damage evolution of artificial dam strength ofunderground reservoir. J. China Coal Soc. 2018, 43, 1111–1117. (In Chinese) [Google Scholar] [CrossRef]
- Yu, Z.; Zhang, L.; Jiang, P.; Papelis, C.; Li, Y. Study on Water-Rock Interactions of Trace Elements in Groundwater with Leaching Experiments. Groundwater 2015, 53, 95–102. [Google Scholar] [CrossRef] [PubMed]
- Xu, H.; Liu, J.; Wang, L.; Yang, B.; Yang, H. The weakening effect of hydrostatic pressure on rock mass of different lithology. Environ. Earth. Sci. 2015, 74, 2489–2497. [Google Scholar] [CrossRef]
- Zhu, C.Q.; Li, C.M.; Yin, Z.Q.; Hou, J.L. Experimental study of soft coal mechanics characteristics with different moistures and clay contents. Chin. J. Rock Mech. Eng. 2017, 36, 3258–3265. (In Chinese) [Google Scholar] [CrossRef]
- Feng, G.; Kang, Y.; Meng, T.; Hu, Y.Q.; Li, X.H. The influence of temperature on mode I fracture toughness and fracture characteristics of sandstone. Rock Mech. Rock Eng. 2017, 50, 2007–2019. [Google Scholar] [CrossRef]
- Feng, G.; Kang, Y.; Sun, Z.D.; Wang, X.C.; Hu, Y.Q. Effects of supercritical CO2 adsorption on the mechanical characteristics and failure mechanisms of shale. Energy 2019, 173, 870–882. [Google Scholar] [CrossRef]
- Li, Q.W.; Gao, S.L.; Hu, L.L.; Yu, M.M.; Liu, Y.W.; Zeng, X.G.; Zhu, Q.Y.; Cao, H.; Huang, X. Constitutive relation of energy dissipation damage of heterogeneous coal samples under different loading rates. J. China Coal Soc. 2022, 47 (Suppl. 1), 90–102. (In Chinese) [Google Scholar] [CrossRef]
- Ai, T.; Zhang, R.; Liu, J.F.; Ren, L. Space-time evolution rules of acoustic emission location of unloaded coal sample at different loading rates. Int. J. Min. Sci. Technol. 2012, 22, 847–854. [Google Scholar] [CrossRef]
- Li, G.W.; Lu, S.F.; Liu, S.F.; Liu, J.; Shi, P.; Fan, B.W. Application and effect of loading rates on coal sample failure. Shock Vib. 2021, 6681082. [Google Scholar] [CrossRef]
- Mahanta, B.; Tripathy, A.; Vishal, V.; Singh, T.N.; Ranjith, P.G. Effects of strain rate on fracture toughness and energy release rate of gas shales. Eng. Geol. 2016, 218, 39–49. [Google Scholar] [CrossRef]
- Li, H.X.; Xiao, X.R. An approach on the mode-I fracture toughness anisotropy for materials with layered microstructures. Eng. Fract. Mech. 1995, 52, 671–683. [Google Scholar] [CrossRef]
- Kataoka, M.; Obara, Y.; Kuruppu, M. Estimation of fracture toughness of anisotropic rocks by semi-circular bend(SCB) tests under water vapor pressure. Rock Mech. Rock Eng. 2015, 48, 135–1367. [Google Scholar] [CrossRef]













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Li, X.; Feng, G.; Xiao, M.; Wang, G.; Bi, J.; Gao, C.; Liu, H. Experimental Study on the Effects of Loading Rates on the Fracture Mechanical Characteristics of Coal Influenced by Long-Term Immersion in Mine Water. Appl. Sci. 2025, 15, 8222. https://doi.org/10.3390/app15158222
Li X, Feng G, Xiao M, Wang G, Bi J, Gao C, Liu H. Experimental Study on the Effects of Loading Rates on the Fracture Mechanical Characteristics of Coal Influenced by Long-Term Immersion in Mine Water. Applied Sciences. 2025; 15(15):8222. https://doi.org/10.3390/app15158222
Chicago/Turabian StyleLi, Xiaobin, Gan Feng, Mingli Xiao, Guifeng Wang, Jing Bi, Chunyu Gao, and Huaizhong Liu. 2025. "Experimental Study on the Effects of Loading Rates on the Fracture Mechanical Characteristics of Coal Influenced by Long-Term Immersion in Mine Water" Applied Sciences 15, no. 15: 8222. https://doi.org/10.3390/app15158222
APA StyleLi, X., Feng, G., Xiao, M., Wang, G., Bi, J., Gao, C., & Liu, H. (2025). Experimental Study on the Effects of Loading Rates on the Fracture Mechanical Characteristics of Coal Influenced by Long-Term Immersion in Mine Water. Applied Sciences, 15(15), 8222. https://doi.org/10.3390/app15158222

