Abstract
Previous studies indicate that an electric potential (EP) signal is generated during the loading process of coal and that the EP response is related to the damage evolution. When coupled with gas, EP changes the pore structure and mechanical properties of a coal mass, promoting crack generation and growth and accelerating damage evolution. To study the EP response characteristics and investigate the damage of gas-bearing coal, a triaxial test was carried out with a gas-controlled confining pressure, and multiple types of data were measured and analyzed. The results show that with the change in stress, the EP response increases and fluctuates. This response reflects the stress and reveals the damage evolution, which could be verified with the variation in the acoustic emission response. For the mechanism analyses, the failure of the sample is caused by crack expansion and propagation under the coupling action of stress and gas. Consequently, microscopic charge separation and electron emission are the dominant mechanisms controlling the EP response. Furthermore, the constitutive damage equation of gas-bearing coal is established based on the EP response in view of continuous damage theory and the stress intensity distribution hypothesis. The calculation results of damage and stress based on the EP response are utilized for verification; the results indicate that the damage expressed by the EP response is reasonable and useful. This finding is helpful for understanding the damage evolution mechanism of gas-bearing coal.
Similar content being viewed by others
Abbreviations
- \(U_{P}\) :
-
EP on Point P (mV)
- \(Q_{i}\) :
-
Charge quantity of the i-th point charge (C)
- \(r_{i}\) :
-
Distance from i-th point charge to Point P (m)
- \(\varepsilon_{\text{r}}\) :
-
Dielectric constant of dielectric medium
- \(n\) :
-
Charges number
- \(q_{i}\) :
-
Charge quantity of the i-th charge body (C/m3)
- \(m^{\prime }\) :
-
Boundary number
- \(\Delta S_{j,t}\) :
-
Area of j-th area element of m-th boundary (m2)
- \(\rho_{j,t}\) :
-
Average surface charge density on \(\Delta S_{j,t}\) (C/m2)
- \(r_{si}\) :
-
Distance from P to i-th free charged body (m)
- \(r_{\text{b,j,t}}\) :
-
Distance from P to center of \(\Delta S_{\text{j,t}}\) (m)
- \(S_{j}\) :
-
j-th Boundary
- \(\sigma_{1}\) :
-
First principal stress (MPa)
- \(\sigma_{2}\) :
-
Second principal stress (MPa)
- \(\sigma_{3}\) :
-
Third principal stress (MPa)
- \(\sigma_{0}\) :
-
Critical stress of material failure (MPa)
- \(P\) :
-
Gas pressure (MPa)
- \(\varepsilon\) :
-
Strain of \(\sigma_{0}\)
- \(\varepsilon_{1}\) :
-
Strain of \(\sigma_{1}\)
- \(\varphi \left( \varepsilon \right)\) :
-
Probability density
- m :
-
Constants
- β :
-
Constants
- σ p :
-
Peak stress value (MPa)
- \(\varepsilon_{\text{p}}\) :
-
Strain of \(\sigma_{\text{p}}\)
- D :
-
Damage
- \(\upsilon\) :
-
Poisson ratio
- \(N_{\text{m}}\) :
-
Cumulative value of EP intensity completely (mV)
- N :
-
Cumulative value of EP intensity of ε (mV)
- E :
-
Elastic modulus (Pa)
- σ :
-
Stress (MPa)
- D E :
-
Damage value base on EP
- \(\sigma_{\text{E}}\) :
-
Stress value base on EP (MPa)
- \(D_{\sigma }\) :
-
Constitutive damage value
- \(\sigma^{\prime }\) :
-
Constitutive stress value (MPa)
- \(\sigma_{\text{r}}\) :
-
Residual stress
References
Aliha MRM, Mahdavi E, Ayatollahi MR (2018) Statistical analysis of rock fracture toughness data obtained from different chevron notched and straight cracked mode I specimens. Rock Mechanics Rock Eng 3:1–20
Amaral P, Fernandes JC, Rosa LG (2008) Weibull statistical analysis of granite bending strength. Rock Mech Rock Eng 41:917–928
Aydin A, Dobbs MR, Reeves HJ, Kirkham MP, Graham CC (2013) Stress induced electric field measurements of different rock lithology using the Electric Potential Sensor. In: 47th US rock mechanics/geomechanics symposium 2013 Jan 1. American Rock Mechanics Association
Burridge R, Halliday G (1971) Dynamic shear cracks with friction as models for shallow focus earthquakes. Geophys J R Astron Soc 25:261–283
Cai M (2008) Influence of intermediate principal stress on rock fracturing and strength near excavation boundaries—insight from numerical modeling. Int J Rock Mech Min Sci 45:763–772
Cai Y, Liu D, Mathews JP, Pan Z, Elsworth D, Yao Y, Li J, Guo X (2014) Permeability evolution in fractured coal—combining triaxial confinement with X-ray computed tomography, acoustic emission and ultrasonic techniques. Int J Coal Geol 122:91–104
Cartwright-Taylor A, Vallianatos F, Sammonds P (2014) Superstatistical view of stress-induced electric current fluctuations in rocks. Physica A 414:368–377. https://doi.org/10.1016/j.physa.2014.07.064
Chong C, Ma L, Li Z, Ni W, Song S (2015) Logarithmic mean Divisia index (LMDI) decomposition of coal consumption in China based on the energy allocation diagram of coal flows. Energy 85:366–378
Clarkson C, Bustin R (1999) The effect of pore structure and gas pressure upon the transport properties of coal: a laboratory and modeling study. 2. Adsorption rate modeling. Fuel 78:1345–1362
Clint OC (1999) Electrical potential changes and acoustic emissions generated by fracture and fluid flow during experimental triaxial rock deformation. University of London, London
Crespy A, Revil A, Linde N, Byrdina S, Jardani A, Bolève A, Henry P (2008) Detection and localization of hydromechanical disturbances in a sandbox using the self-potential method. J Geophys Res. https://doi.org/10.1029/2007jb005042
Cress GO, Brady B, Rowell GA (1987) Sources of electromagnetic radiation from fracture of rock samples in the laboratory. Geophys Res Lett 14:331–334
Yuli D, Heping X, Shiping L (1996) Continuum damage mechanics constitutive model of concrete under compression. Eng Mech 1
Eberhardt E, Stead D, Stimpson B, Read R (1998) Identifying crack initiation and propagation thresholds in brittle rock. Can Geotech J 35:222–233
Eberhardt E, Stead D, Stimpson B (1999) Quantifying progressive pre-peak brittle fracture damage in rock during uniaxial compression. Int J Rock Mech Min Sci 36:361–380
Enomoto Y, Shimamoto T, Tsutumi A (1993) Rapid electric charge fluctuation prior to rock fracturing: its potential use for an immediate earthquake precursor. In: Hayakawa M, Fujinawa Y (eds) Proceedings of international workshop on electromagneticphenomenarelated to earthquake prediction Tokyo. Terra Scientific Publishing Co., pp 64–65
Fortes AF, Caldas P, Gallo J (1998) Particle aggregation and the van der Waals forces in gas-solids fluidization. Powder Technol 98:201–208
Freund FT, Takeuchi A, Lau BWS (2006) Electric currents streaming out of stressed igneous rocks—a step towards understanding pre-earthquake low frequency EM emissions. Physics and Chemistry of the Earth, Parts A/B/C 31:389–396. https://doi.org/10.1016/j.pce.2006.02.027
Guangzhi Y, Dengke W, Dongming Z (2008) Solid-gas coupling dynamic model and numerical simulation of coal containing gas. Chin J Geotech Eng 30(10):1430–1436
Guo ZQ, You J, Li G, Shi X (1989) The model of compressed atoms and electron emission of rock fracture. Chin J Geophy 32:173–177
Haas AK, Revil A, Karaoulis M, Frash L, Hampton J, Gutierrez M, Mooney M (2013) Electric potential source localization reveals a borehole leak during hydraulic fracturing. Geophysics 78:D93–D113. https://doi.org/10.1190/geo2012-0388.1
He X, Wang E, Lin H (1996) Coal deformation and fracture mechanism under pore gas action. J China Univ Mining Technol 25:6–11
He X, Nie B, Chen W, Wang E, Dou L, Wang Y, Liu M, Hani M (2012) Research progress on electromagnetic radiation in gas-containing coal and rock fracture and its applications ☆. Saf Sci 50:728–735
Ho CM, Tai YC (1998) Micro-electro-mechanical-systems (MEMS) and fluid flows. Annu Rev Fluid Mech 30:579–612
Hu S, Wang E, Kong X (2015) Damage and deformation control equation for gas-bearing coal and its numerical calculation method. J Natural Gas Sci Eng 25:166–179
Jardani A, Dupont JP, Revil A (2006) Self‐potential signals associated with preferential groundwater flow pathways in sinkholes. Journal of Geophysical Research Solid Earth 111
Khazaei C, Hazzard J, Chalaturnyk R (2015) Damage quantification of intact rocks using acoustic emission energies recorded during uniaxial compression test and discrete element modeling. Comput Geotech 67:94–102
Leeman J, Scuderi M, Marone C, Saffer D, Shinbrot T (2014) On the origin and evolution of electrical signals during frictional stick slip in sheared granular material. J Geophys Res Solid Earth 119:4253–4268
Lei X, Masuda K, Nishizawa O, Jouniaux L, Liu L, Ma W, Satoh T, Kusunose K (2004) Detailed analysis of acoustic emission activity during catastrophic fracture of faults in rock. J Struct Geol 26:247–258
Li G, Tang CA (2015) A statistical meso-damage mechanical method for modeling trans-scale progressive failure process of rock. Int J Rock Mech Min Sci 74:133–150
Li Z, Wang E, He M (2015) Laboratory studies of electric current generated during fracture of coal and rock in rock burst coal mine. J Min 2015:235636. https://doi.org/10.1155/2015/235636
Lisjak A, Grasselli G (2014) A review of discrete modeling techniques for fracturing processes in discontinuous rock masses. J Rock Mech Geotech Eng 6:301–314
Liu X, Wang X, Wang E, Kong X, Zhang C, Liu S, Zhao E (2017) Effects of gas pressure on bursting liability of coal under uniaxial conditions. J Nat Gas Sci Eng 39:90–100
Lu P, Li P, Chen J, Zhang C, Xue J, Yu T (2015) Gas drainage from different mine areas: optimal placement of drainage systems for deep coal seams with high gas emissions. Int J Coal Sci Technol 2:84–90
Majewska Z, Ceglarska-Stefańska G, Majewski S, Ziętek J (2009) Binary gas sorption/desorption experiments on a bituminous coal: simultaneous measurements on sorption kinetics, volumetric strain and acoustic emission. Int J Coal Geol 77:90–102
Mishchuk N, Ralston J, Fornasiero D (2002) Influence of dissolved gas on van der Waals forces between bubbles and particles. J Phys Chem A 106:689–696
Niu Y, Li Z, Kong B, Wang E, Lou Q, Qiu L, Kong X, Wang J, Dong M, Li B (2017) Similar simulation study on the characteristics of the electric potential response to coal mining. J Geophys Eng 15:42
Orellana L, Castro R, Hekmat A, Arancibia E (2017) Productivity of a continuous mining system for block caving mines. Rock Mech Rock Eng 50:657–663
Patella D (1997) Introduction to ground surface self-potential tomography. Geophys Prospect 45:653–681
Revil A (2007) Thermodynamics of ions and water transport in porous media. J Colloid Interface Sci 307:254–264
Revil A, Mahardika H (2013) Coupled hydromechanical and electromagnetic disturbances in unsaturated porous materials. Water Resour Res 49:744–766. https://doi.org/10.1002/wrcr.20092
Shojaei A, Taleghani AD, Li G (2014) A continuum damage failure model for hydraulic fracturing of porous rocks. Int J Plast 59:199–212
Song X, Li X, Li Z, Zhang Z, Cheng F, Chen P, Liu Y (2018) Study on the characteristics of coal rock electromagnetic radiation (EMR) and the main influencing factors. J Appl Geophys 148:216–225
Stoll J, Bigalke J, Grabner EW (1995) Electrochemical modelling of self-potential anomalies. Surv Geophys 16:107–120
Su F, Itakura K, Deguchi G, Ohga K (2017) Monitoring of coal fracturing in underground coal gasification by acoustic emission techniques. Appl Energy 189:142–156
Szwedzicki T (2003) Rock mass behaviour prior to failure. Int J Rock Mech Min Sci 40:573–584
Tavares L, King R (2002) Modeling of particle fracture by repeated impacts using continuum damage mechanics. Powder Technol 123:138–146
Triantis D, Anastasiadis C, Vallianatos F, Kyriazis P (2007) Electric signal emissions during repeated abrupt uniaxial compressional stress steps in amphibolite from KTB drilling. Nat Hazards Earth System Sci 7:149–154
Uritsky V, Smirnova N, Troyan V, Vallianatos F (2004) Critical dynamics of fractal fault systems and its role in the generation of pre-seismic electromagnetic emissions. Phys Chem Earth A/B/C 29:473–480
Wang X, Wen Z, Jiang Y (2016) Time–space effect of stress field and damage evolution law of compressed coal-rock. Geotech Geol Eng 34:1933–1940
Wang X, Liu X, Wang E, Li X, Zhang X, Zhang C, Kong B (2017) Experimental research of the AE responses and fracture evolution characteristics for sand-paraffin similar material. Construct Build Mater 132:446–456
Wawersik W, Fairhurst C (1970) A study of brittle rock fracture in laboratory compression experiments. International Journal of Rock Mechanics and Mining Sciences & Geomechanics Abstracts. Elsevier, Amsterdam, pp 561–575
Wei M, Wang C, Cui G, Tan Y, Zhang S (2016) Influences of damage and shear dilation on permeability evolution of fractured coal. Rock Soil Mech 37:574–582
Woodtli J, Kieselbach R (2000) Damage due to hydrogen embrittlement and stress corrosion cracking. Eng Fail Anal 7:427–450
Xie H (1993) Fractals in rock mechanics. Crc Press
Xie H, Ju Y, Dong S (1997) Discuss on elastic modulus method of classical damage definition. Mech Eng 19:1–5
Xie C-f, Rao K, Yang X, Wang Y, Zhao J (2006) Electromagnetic field and electromagnetic wave. Higher Education of China, Beijing
Xue Y, Gao F, Teng T, Xing Y (2016) Effect of gas pressure on rock burst proneness indexes and energy dissipation of coal samples. Geotech Geol Eng 34:1737–1748
Yamada I, Masuda K, Mizutani H (1989) Electromagnetic and acoustic emission associated with rock fracture. Phys Earth Planet Inter 57:157–168
Yang Y, Wang D, Wang K, Huang D (2011) Micro and meso-damage mechanism of coal’s strength and deformation characteristics. J Univ Sci Technol Beijing 33:653–657
Yao B, Ma Q, Wei J, Ma J, Cai D (2016) Effect of protective coal seam mining and gas extraction on gas transport in a coal seam. Int J Mining Sci Technol 26:637–643
Yoshida S, Clint OC, Sammonds PR (1998) Electric potential changes prior to shear fracture in dry and saturated rocks. Geophys Res Lett 25:1577–1580. https://doi.org/10.1029/98gl01222
Yu C, Liu H, Gao J (2008) The experimental study on the Dual frequency induced polarization method detecting coal mine gob. Progress Geophys 5:038
Yuan L (2015) Theory and practice of integrated coal production and gas extraction. Int J Coal Sci Technol 2:3–11
Zhai C, Xiang X, Xu J, Wu S (2016) The characteristics and main influencing factors affecting coal and gas outbursts in Chinese Pingdingshan mining region. Nat Hazards 82:507–530
Zhao Y (1998) Crack pattern evolution and a fractal damage constitutive model for rock. Int J Rock Mech Min Sci 35:349–366
Acknowledgements
This work is supported by the General Program of National Natural Science Foundation of China (51674254, 51574231), State Key Research Development Program of China (2016YFC0801401, 2016YFC0801404), State Key Laboratory of Coal Resources and Safe Mining, CUMT (SKLCRSM15X03), A Project Funded by the Priority Academic Program Development of Jiangsu Higher Education Institutions (PAPD).
Author information
Authors and Affiliations
Corresponding authors
Additional information
Publisher's Note
Springer Nature remains neutral with regard to jurisdictional claims in published maps and institutional affiliations.
Rights and permissions
About this article
Cite this article
Niu, Y., Wang, C., Wang, E. et al. Experimental Study on the Damage Evolution of Gas-Bearing Coal and Its Electric Potential Response. Rock Mech Rock Eng 52, 4589–4604 (2019). https://doi.org/10.1007/s00603-019-01839-z
Received:
Accepted:
Published:
Issue Date:
DOI: https://doi.org/10.1007/s00603-019-01839-z