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Published in: Geotechnical and Geological Engineering 5/2022

21-01-2022 | Original Paper

Finite Element Analysis of Electro-Thermal Coupling of Sandstone Under Lightning Currents

Authors: Pingping Rao, Yuanbing Xiang, Peihao Ouyang, Sanjay Nimbalkar, Qingsheng Chen

Published in: Geotechnical and Geological Engineering | Issue 5/2022

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Abstract

In order to examine the thermal effect of lightning currents on sandstone, an electro-thermal coupling model based on electromagnetic field and heat transfer theory was constructed. This model considers the spatial Gaussian distribution of lightning current. The model is validated by comparing field observations and theoretical analyses from the previously published studies. The transient calculation is performed to investigate the dynamic change process within the sandstone during lightning strikes, and the effects of related factors such as the peak current of the lightning current, waveform parameters, and electrothermal parameters of the sandstone on the model results are analysed. The results indicate that a lightning strike generates a large amount of electromagnetic heat in the sandstone, causing it to heat up and melt or even vaporize. The entire dynamic process exhibits a logarithmic growth tendency, with rapid development of temperature and phase change areas during the early stages of lightning current, followed by gradual increases until constant. The temperature varies most dramatically around the lightning strike point, and the area affected by lightning strikes decreases as the horizontal plane deepens. Within the sandstone, both the temperature isosurface and phase transition area show a hemispherical distribution. When the peak current is greater, the wave front time is shorter, the half-value time is longer, the resistivity is greater, or the specific heat is more, the overall temperature in the sandstone is greater, and the phase change region is larger under the same conditions.

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Literature
go back to reference Braginskii SI (1958) Theory of the development of a spark channel. Sov Phys JETP 34:1068–1074 Braginskii SI (1958) Theory of the development of a spark channel. Sov Phys JETP 34:1068–1074
go back to reference Castro JM, Keller F, Feisel Y et al (2020) Lightning-induced weathering of Cascadian volcanic peaks. Earth Planet Sci Lett 552:116595 Castro JM, Keller F, Feisel Y et al (2020) Lightning-induced weathering of Cascadian volcanic peaks. Earth Planet Sci Lett 552:116595
go back to reference Chen J, Elmi C, Goldsby D, Gieré R (2017) Generation of shock lamellae and melting in rocks by lightning-induced shock waves and electrical heating. Geophys Res Lett 44(17):8757–8768 CrossRef Chen J, Elmi C, Goldsby D, Gieré R (2017) Generation of shock lamellae and melting in rocks by lightning-induced shock waves and electrical heating. Geophys Res Lett 44(17):8757–8768 CrossRef
go back to reference Ding N, Zhao B (2014) Analysis of damage influence factors on ablation damage of composite laminates subjected lightning strike. Trans Mater Heat Treat 35(2):186–192 Ding N, Zhao B (2014) Analysis of damage influence factors on ablation damage of composite laminates subjected lightning strike. Trans Mater Heat Treat 35(2):186–192
go back to reference Ding N, Zhao B, Liu ZQ et al (2013) Simulation of ablation damage of composite laminate subjected to lightning strike. Acta Aeronautica Et Astronautica Sinica 34(2):301–308 Ding N, Zhao B, Liu ZQ et al (2013) Simulation of ablation damage of composite laminate subjected to lightning strike. Acta Aeronautica Et Astronautica Sinica 34(2):301–308
go back to reference Elmi C, Chen J, Goldsby D, Gieré R (2017) Mineralogical and compositional features of rock fulgurites: a record of lightning effects on granite. Am Mineral: J Earth Planet Mater 102(7):1470–1481 CrossRef Elmi C, Chen J, Goldsby D, Gieré R (2017) Mineralogical and compositional features of rock fulgurites: a record of lightning effects on granite. Am Mineral: J Earth Planet Mater 102(7):1470–1481 CrossRef
go back to reference Eppelbaum L, Kutasov I, Pilchin A (2014) Applied geothermics. Springer, Heidelberg CrossRef Eppelbaum L, Kutasov I, Pilchin A (2014) Applied geothermics. Springer, Heidelberg CrossRef
go back to reference Gieré R, Wimmenauer W, Müller-Sigmund H et al (2015) Lightning-induced shock lamellae in quartz. Am Mineral 100(7):1645–1648 CrossRef Gieré R, Wimmenauer W, Müller-Sigmund H et al (2015) Lightning-induced shock lamellae in quartz. Am Mineral 100(7):1645–1648 CrossRef
go back to reference International Electrotechnical Commission (2010) IEC Standard 60060-1: high-voltage test techniques—part 1. General definitions and testrequirements. Geneva: International Electrotechnical Commission. International Electrotechnical Commission (2010) IEC Standard 60060-1: high-voltage test techniques—part 1. General definitions and testrequirements. Geneva: International Electrotechnical Commission.
go back to reference Jones DS (2013) The theory of electromagnetism. Pergamon Press, New York Jones DS (2013) The theory of electromagnetism. Pergamon Press, New York
go back to reference Li JL, Yuan T, Yang Q et al (2011a) Analysis of grounding grid by finite element method in consideration of soil nonlinear characteristics. High Volt Tech 37(1):249–256 Li JL, Yuan T, Yang Q et al (2011a) Analysis of grounding grid by finite element method in consideration of soil nonlinear characteristics. High Volt Tech 37(1):249–256
go back to reference Li JL, Yuan T, Yang Q et al (2011b) Numerical and experimental investigation of grounding electrode impulse-current dispersal regularity considering the transient ionization phenomenon. IEEE Trans Power Deliv 26(4):2647–2658 CrossRef Li JL, Yuan T, Yang Q et al (2011b) Numerical and experimental investigation of grounding electrode impulse-current dispersal regularity considering the transient ionization phenomenon. IEEE Trans Power Deliv 26(4):2647–2658 CrossRef
go back to reference Liu S, Sima W, Yuan T et al (2016) Study on X-ray imaging of soil discharge and calculation method of the ionization parameters. IEEE Trans Power Deliv 32(4):2013–2021 CrossRef Liu S, Sima W, Yuan T et al (2016) Study on X-ray imaging of soil discharge and calculation method of the ionization parameters. IEEE Trans Power Deliv 32(4):2013–2021 CrossRef
go back to reference Liu QM, Zhang YM (2014) Shock wave generated by high-energy electric spark discharge. J Appl Phys 116(15):153302 Liu QM, Zhang YM (2014) Shock wave generated by high-energy electric spark discharge. J Appl Phys 116(15):153302
go back to reference Ogasawara T, Hirano Y, Yoshimura A (2010) Coupled thermal-electrical analysis for carbon fiber/epoxy composites exposed to simulated lightning current. Compos A Appl Sci Manuf 41(8):973–981 CrossRef Ogasawara T, Hirano Y, Yoshimura A (2010) Coupled thermal-electrical analysis for carbon fiber/epoxy composites exposed to simulated lightning current. Compos A Appl Sci Manuf 41(8):973–981 CrossRef
go back to reference Pasek MA, Hurst M (2016) A fossilized energy distribution of lightning. Sci Rep 6:30586 CrossRef Pasek MA, Hurst M (2016) A fossilized energy distribution of lightning. Sci Rep 6:30586 CrossRef
go back to reference Pasek MA, Block K, Pasek V (2012) Fulgurite morphology: a classification scheme and clues to formation. Contrib Miner Petrol 164(3):477–492 CrossRef Pasek MA, Block K, Pasek V (2012) Fulgurite morphology: a classification scheme and clues to formation. Contrib Miner Petrol 164(3):477–492 CrossRef
go back to reference Perera C, Rahman M, Fernando M, Liyanage P, Cooray V (2012) The relationship between current and channel diameter of 30 cm long laboratory sparks. J Electrostat 70(6):512–516 CrossRef Perera C, Rahman M, Fernando M, Liyanage P, Cooray V (2012) The relationship between current and channel diameter of 30 cm long laboratory sparks. J Electrostat 70(6):512–516 CrossRef
go back to reference Plooster MN (1971) Numerical model of the return stroke of the lightning discharge. Phys Fluids 14(10):2124–2133 CrossRef Plooster MN (1971) Numerical model of the return stroke of the lightning discharge. Phys Fluids 14(10):2124–2133 CrossRef
go back to reference Rakov VA, Uman MA (2003) Lightning: physics and effects. Cambridge University Press, New York CrossRef Rakov VA, Uman MA (2003) Lightning: physics and effects. Cambridge University Press, New York CrossRef
go back to reference Rakov VA (1999) Lightning makes glass. 29th Annual conference of the glass art society, pp 45–50 Rakov VA (1999) Lightning makes glass. 29th Annual conference of the glass art society, pp 45–50
go back to reference Rao P, Chen Q, Nimbalkar S, Liu Y (2016) Effect of water and salinity on soil behaviour under lightning. Environ Geotech 5(1):56–62 CrossRef Rao P, Chen Q, Nimbalkar S, Liu Y (2016) Effect of water and salinity on soil behaviour under lightning. Environ Geotech 5(1):56–62 CrossRef
go back to reference Rao P, Chen Q, Nimbalkar S, Liu Y (2017) Laboratory study on impulse current characteristics of clay. Environ Geotech 4(3):199–208 CrossRef Rao P, Chen Q, Nimbalkar S, Liu Y (2017) Laboratory study on impulse current characteristics of clay. Environ Geotech 4(3):199–208 CrossRef
go back to reference Saikia BJ, Parthasarathy G, Sarmah NC, Baruah GD (2008) Fourier-transform infrared spectroscopic characterization of naturally occurring glassy fulgurites. Bull Mater Sci 31(2):155–158 CrossRef Saikia BJ, Parthasarathy G, Sarmah NC, Baruah GD (2008) Fourier-transform infrared spectroscopic characterization of naturally occurring glassy fulgurites. Bull Mater Sci 31(2):155–158 CrossRef
go back to reference Sima W, Ai LF, Yuan T et al (2015) Experimental study on the frequency charateristic of permittivity and the influence on impact characteristics of grounding eletrode. Proc CSEE 35(16):4247–4253 Sima W, Ai LF, Yuan T et al (2015) Experimental study on the frequency charateristic of permittivity and the influence on impact characteristics of grounding eletrode. Proc CSEE 35(16):4247–4253
go back to reference Stohchniol A (1992) A general transformation for open boundary finite element method for electromagnetic problems. IEEE Trans Magn 28(2):1679–1681 CrossRef Stohchniol A (1992) A general transformation for open boundary finite element method for electromagnetic problems. IEEE Trans Magn 28(2):1679–1681 CrossRef
go back to reference Wakasa SA, Nishimura S, Shimizu H, Matsukura Y (2012) Does lightning destroy rocks? Results from a laboratory lightning experiment using an impulse high-current generator. Geomorphology 161–162:110–114 CrossRef Wakasa SA, Nishimura S, Shimizu H, Matsukura Y (2012) Does lightning destroy rocks? Results from a laboratory lightning experiment using an impulse high-current generator. Geomorphology 161–162:110–114 CrossRef
go back to reference Wang Y, Zhupanska O (2015) Lightning strike thermal damage model for glass fiber reinforced polymer matrix composites and its application to wind turbine blades. Compos Struct 132:1182–1191 CrossRef Wang Y, Zhupanska O (2015) Lightning strike thermal damage model for glass fiber reinforced polymer matrix composites and its application to wind turbine blades. Compos Struct 132:1182–1191 CrossRef
go back to reference Wilson JF (2003) Lightning-induced fracture of masonry and rock. Int J Solids Struct 40(20):5305–5318 CrossRef Wilson JF (2003) Lightning-induced fracture of masonry and rock. Int J Solids Struct 40(20):5305–5318 CrossRef
go back to reference Xiong JM, Li L, Dai HY et al (2018) The development of shock wave overpressure driven by channel expansion of high current impulse discharge arc. Phys Plasmas 25(3):032115 Xiong JM, Li L, Dai HY et al (2018) The development of shock wave overpressure driven by channel expansion of high current impulse discharge arc. Phys Plasmas 25(3):032115
go back to reference Yokoyama S (2007) A possible formation of weathering pits triggered by the falling of thunderbolts. Trans Japanese Geomorphol Union 28:267–268 Yokoyama S (2007) A possible formation of weathering pits triggered by the falling of thunderbolts. Trans Japanese Geomorphol Union 28:267–268
Metadata
Title
Finite Element Analysis of Electro-Thermal Coupling of Sandstone Under Lightning Currents
Authors
Pingping Rao
Yuanbing Xiang
Peihao Ouyang
Sanjay Nimbalkar
Qingsheng Chen
Publication date
21-01-2022
Publisher
Springer International Publishing
Published in
Geotechnical and Geological Engineering / Issue 5/2022
Print ISSN: 0960-3182
Electronic ISSN: 1573-1529
DOI
https://doi.org/10.1007/s10706-022-02048-2

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