Coal creep deformation and pore-fracture evolution under cyclic loading–unloading using NMRI and fractal analysis

Wenhao Jia , Hongwei Zhou , Fangwei Li , Eryi Hu , Senlin Xie , Lei Zhang , Zelin Liu , Shukai Jin

Int J Min Sci Technol ›› 2026, Vol. 36 ›› Issue (7) : 1329 -1344.

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Int J Min Sci Technol ›› 2026, Vol. 36 ›› Issue (7) :1329 -1344. DOI: 10.1016/j.ijmst.2026.04.013
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Coal creep deformation and pore-fracture evolution under cyclic loading–unloading using NMRI and fractal analysis
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Abstract

Understanding the creep deformation behavior and the evolution of pore-fracture structures (FPSs) in coal under cyclic loading–unloading is crucial for safe extraction and efficient methane utilization. Coal samples were subjected to cyclic loading–unloading creep experiments using online Nuclear Magnetic Resonance (NMR) and Nuclear Magnetic Resonance Imaging (NMRI) techniques. The results revealed the significance of instantaneous plastic and viscoplastic strains during creep, with creep failure modes analyzed using NMRI data and macroscopic fracture distribution. Viscoplastic strain was identified as a key indicator of accelerated failure, and NMRI revealed a transition from splitting–shear to V-shaped shear failure under increasing confining pressure. From a microscopic perspective, real-time T2 spectra monitoring tracked the evolution of FPS at different loading levels, and the geometric mean of the pore structure (T2g) quantitatively described the co-evolution of various pore types. A generalized model was developed to describe coal creep under cyclic loading–unloading, integrating microscopic and macroscopic deformation features and refined using fractal theory. These findings provide theoretical insights and practical guidance for coal extraction and methane management under cyclic loading–unloading creep.

Keywords

Online test / Cyclic loading–unloading / Pore-fracture structure / Creep deformation / Coal

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Wenhao Jia, Hongwei Zhou, Fangwei Li, Eryi Hu, Senlin Xie, Lei Zhang, Zelin Liu, Shukai Jin. Coal creep deformation and pore-fracture evolution under cyclic loading–unloading using NMRI and fractal analysis. Int J Min Sci Technol, 2026, 36 (7) : 1329-1344 DOI:10.1016/j.ijmst.2026.04.013

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References

[1]

Zhang L, Wang YM, Gao MZ, Jia WH, Xie SL, Hou W, et al. Spatio—temporal evolution of pore and fracture structures in coal induced by initial damage and creep behavior: A real—time NMR—based approach. Int J Min Sci Technol 2024; 34(10):1409—25.

[2]

Yang Y, Jiang CB, Guo XW, Peng SJ, Zhao JJ, Yan FZ. Experimental investigation on the permeability and damage characteristics of raw coal under tiered cyclic unloading and loading confining pressure. Powder Technol 2021; 389:416—29.

[3]

Jia WH, Zhou HW, Xie SL, Wang YM, Liu ZL, Deng HL. Real—time monitoring of pore—fracture structure evolution during coal creep based on NMR. Energy Fuels 2023; 37(2):1057-69.

[4]

Xu P, Yang SQ. Study of visco—elasto—plastic constitutive model of coal under cyclic loading. Chin J Rock Mech Eng 2015; 34:537—45.

[5]

Yang SQ, Xu P, Ranjith PG, Chen GF, Jing HW. Evaluation of creep mechanical behavior of deep—buried marble under triaxial cyclic loading. Arab J Geosci 2015; 8(9):6567—82.

[6]

Wang XK, Song LB, Xia CC, Han GS, Zhu ZM. Nonlinear elasto—visco—plastic creep behavior and new creep damage model of dolomitic limestone subjected to cyclic incremental loading and unloading. Sustainability 2021; 13(22):1-15.

[7]

Zhao YL, Zhang LY, Wang WJ, Wan W, Li SQ, Ma WH, et al. Creep behavior of intact and cracked limestone under multi—level loading and unloading cycles. Rock Mech Rock Eng 2017; 50(6):1409-24.

[8]

Zhao YL, Zhang LY, Wang WJ, Wan W, Ma WH. Separation of elastoviscoplastic strains of rock and a nonlinear creep model. Int J Geomech 2018; 18:04017129.

[9]

Hu B, Yang SQ, Xu P, Cheng JL. Cyclic loading—unloading creep behavior of composite layered specimens. Acta Geophys 2019; 67(2):449-64.

[10]

Huang P, Zhang JX, Spearing AJSS, Chai J, Dong CW. Experimental study of the creep properties of coal considering initial damage. Int J Rock Mech Min Sci 2021; 139:104629.

[11]

Zhang L, Li XC, Gao JX, An ZX, Yang XH, Nie BS. Creep characteristics and constitutive model of coal under triaxial stress and gas pressure. Energy Sci Eng 2020; 8(2):501-14.

[12]

Liu T, Lin BQ, Fu XH, Gao YB, Kong J, Zhao Y, et al. Experimental study on gas diffusion dynamics in fractured coal: A better understanding of gas migration in in—situ coal seam. Energy 2020; 195:117005.

[13]

Lai J, Wang GW, Wang ZY, Chen J, Pang XJ, Wang SC, et al. A review on pore structure characterization in tight sandstones. Earth Sci Rev 2018; 177:436-57.

[14]

Yao YB, Liu DM. Comparison of low—field NMR and mercury intrusion porosimetry in characterizing pore size distributions of coals. Fuel 2012; 95:152—8.

[15]

Anovitz LM, Cole DR, Jackson AJ, Rother G, Littrell KC, Allard LF, et al. Effect of quartz overgrowth precipitation on the multiscale porosity of sandstone: A (U)SANS and imaging analysis. Geochim Cosmochim Acta 2015; 158:199-222.

[16]

Weng L, Wu ZJ, Liu QS. Evaluating damage and microcracking behavior of granite using NMR testing under different levels of unconfined compression. Int J Geomech 2019; 19:04018186.

[17]

Zhou HW, Liu ZL, Zhao JW, Chen BC, Li XN, Zhong JC. In—situ observation and modeling approach to evolution of pore—fracture structure in coal. Int J Min Sci Technol 2023; 33(3):265—74.

[18]

Zheng SJ, Yao YB, Liu DM, Cai YD, Liu Y. Characterizations of full—scale pore size distribution, porosity and permeability of coals: a novel methodology by nuclear magnetic resonance and fractal analysis theory. Int J Coal Geol 2018; 196:148-58.

[19]

Yao YB, Liu DM, Che Y, Tang DZ, Tang SH, Huang WH. Petrophysical characterization of coals by low—field nuclear magnetic resonance (NMR). Fuel 2010; 89(7):1371—80.

[20]

Zhou HW, Liu ZL, Zhong JC, Chen BC, Zhao JW, Xue DJ. NMRI online observation of coal fracture and pore structure evolution under confining pressure and axial compressive loads: a novel approach. Energy 2022; 261:125297.

[21]

Lang DJ, Lun ZM, Lyu CY, Wang HT, Zhao QM, Sheng H. Nuclear magnetic resonance experimental study of CO2 injection to enhance shale oil recovery. Petrol Explor Dev 2021; 48(3):702—12.

[22]

Meng XX, Qin YY, Zhuge FM, Liu WT. Microstructure characteristics and the damage evolution rule of sandstone under triaxial compression test using Nuclear magnetic Resonance (NMR). Mater Lett 2022; 309:131355.

[23]

Jia WH, Zhou HW, Xie SL, Wang YM, Hu XF, Zhang L. Pore—pressure and stress—coupled creep behavior in deep coal: Insights from real—time NMR analysis. Int J Min Sci Technol 2024; 34(1):77-90.

[24]

Kleinberg RL. Utility of NMR T2 distributions, connection with capillary pressure, clay effect, and determination of the surface relaxivity parameter q2 . Magn Reson Imag 1996; 14(7—8):761-7.

[25]

Zhang AL, Xie HP, Zhang R, Gao MZ, Xie J, Jia ZQ, et al. Mechanical properties and energy characteristics of coal at different depths under cyclic triaxial loading and unloading. Int J Rock Mech Min Sci 2023; 161:105271.

[26]

Hodot BB. Outburst of coal and coalbed gas. China Industry Press: Beijing, China 2004;p318.

[27]

Wang CL, Zhao Y, Ning L, Bi J. Permeability evolution of coal subjected to triaxial compression based on in—situ nuclear magnetic resonance. Int J Rock Mech Min Sci 2022; 159:105213.

[28]

Bai F, Yang XH, Zeng GW. Creep and recovery behavior characterization of asphalt mixture in compression. Constr Build Mater 2014; 54:504—11.

[29]

Wu F, Chen J, Zou QL. A nonlinear creep damage model for salt rock. Int J Damage Mech 2019; 28(5):758—71.

[30]

Bai Y, Shan RL, Han TY, Dou HY, Liu Z. Study on triaxial creep behavior and the damage constitutive model of red sandstone containing a single ice—filled flaw. Int J Damage Mech 2021; 30(3):349-73.

[31]

Zhang HJ, Li CC. Effects of confining stress on the post—peak behaviour and fracture angle of fauske marble and iddefjord granite. Rock Mech Rock Eng 2019; 52(5):1377-85.

[32]

Hu SC, Zhang CX, Ru WK, Han JM, Guo SH, Zhou XD, et al. Creep properties and energy evolution characteristics of weakly cemented rock under step loading. Int J Rock Mech Min Sci 2023; 170:105428.

[33]

Zhou H, Chen J, Lu JJ, Jiang Y, Meng FZ. A new rock brittleness evaluation index based on the internal friction angle and class I stress—strain curve. Rock Mech Rock Eng 2018; 51(7):2309—16.

[34]

Ma XD, Rudnicki JW, Haimson BC. Failure characteristics of two porous sandstones subjected to true triaxial stresses: Applied through a novel loading path. J Geophys Res Solid Earth 2017; 122(4):2525—40.

[35]

Ma XH, Wang HY, Zhou SW, Feng ZQ, Liu HL, Guo W. Insights into NMR response characteristics of shales and its application in shale gas reservoir evaluation. J Nat Gas Sci Eng 2020; 84:103674.

[36]

Zhou SD, Deng Y, Wang H, Pan ZJ, Yan DT. Connectivity and permeability of Zhuhai tight sandstone heterogeneous reservoirs from western Pearl River Mouth Basin (China) by nuclear magnetic resonance. Appl Geochem 2022; 143:105381.

[37]

Zhou SD, Liu DM, Cai YD, Yao YB. Fractal characterization of pore—fracture in low—rank coals using a low—field NMR relaxation method. Fuel 2016; 181:218-26.

[38]

Yuan YJ, Rezaee R. Fractal analysis of the pore structure for clay bound water and potential gas storage in shales based on NMR and N2 gas adsorption. J Petrol Sci Eng 2019; 177:756-65.

[39]

Yang H, Liu Z, Zhao DW, Lv JL, Yang WZ. Insights into the fluid wetting law and fractal characteristics of coal particles during water injection based on nuclear magnetic resonance. Chaos Solitons Fractals 2022; 159:112109.

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