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Environmental Earth Sciences

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01.02.2021 | Original Article

Analytical solution of ground and underground vibration subject to spherical charge

verfasst von: Zhiwen Li, Haibo Li, Hong Zuo

Erschienen in: Environmental Earth Sciences | Ausgabe 3/2021

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Abstract

Considering the geological bodies as a viscoelastic medium, rather than an elastic medium, is more reliable for the issues of blasting vibration because of the damping characteristic of the geological bodies. However, the analytical solution for ground vibration subject to spherical charge in a viscoelastic medium has never been reported yet. In this study, an approximate analytical solution is first proposed to address such a problem. Its accuracy and validity are verified by direct numerical simulation (finite difference method) and extensive experiences in construction. Based on the present analytical solution, the ground and underground vibration characteristics are systematically studied. The results show that both blasting parameters and medium parameters affect the blasting vibration, especially, the viscosity modulus of the medium will significantly change the waveform and amplitude of blasting vibration. The attenuation coefficients for underground and ground vibration vary from 1.4 to 2.0 and 0.7 to 2.0 with the increasing viscosity modulus. This analytical solution provides reliable prediction and analysis for blasting vibration.

Vorheriger Artikel Assessment of the need and potential for groundwater artificial recharge based on the water supply, water demand, and aquifer properties in a water shortage region of South Korea

Nächster Artikel The influence of selected mining and natural factors on the sinkhole creation hazard based on the case study

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Achenbach JD, Thau SA (1974) Wave propagation in elastic solids. J Appl Mech 41(2):544. https://doi.org/10.1115/1.3423344CrossRef

Ahn JK, Park D (2017) Prediction of near-field wave attenuation due to a spherical blast source. Rock Mech Rock Eng 50(11):3085–3099. https://doi.org/10.1007/s00603-017-1274-3CrossRef

Baum FA, Orlenko LP, Stanyukovich KP (1975) Physics of an Explosion. Nauka, Moscow (in Russian)

Ben-Menahem A, Cisternas A (1963) The dynamic response of an elastic half-space to an explosion in a spherical cavity. J Math Phys 42(1–4):112–125. https://doi.org/10.1002/sapm1963421112CrossRef

Blair DP (2010) Seismic radiation from an explosive column. Geophysics 75:E55–E65. https://doi.org/10.1190/1.3294860CrossRef

Blake FG Jr (1952) Spherical wave propagation in solid media. J Acoust Soc Am 24(2):211–215. https://doi.org/10.1121/1.1906882CrossRef

Chen SG, Zhao J (1998) A study of UDEC modelling for blast wave propagation in jointed rock masses. Int J Rock Mech Min Sci 35(1):93–99. https://doi.org/10.1016/S0148-9062(97)00322-7CrossRef

Chen S, Wu J, Zhang Z (2017) Blasting vibration characteristics and PPV calculation formula considering cylindrical charge length. Environm Earth Sci 76(20):674. https://doi.org/10.1007/s1266CrossRef

Cooper HF Jr, Reiss EL (1966) Reflection of plane viscoelastic waves from plane boundaries. J Acoust Soc Am 39(6):1133–1138. https://doi.org/10.1121/1.1910001CrossRef

Deng XF, Zhu JB, Chen SG et al (2014) Numerical study on tunnel damage subject to blast-induced shock wave in jointed rock masses. Tunn Undergr Space Technol 43:88–100. https://doi.org/10.1016/j.tust.2014.04.004CrossRef

Duvall WI (1953) Strain-wave shapes in rock near explosions. Geophysics 18(2):310–323. https://doi.org/10.1190/1.1437875CrossRef

Favreau RF (1969) Generation of strain waves in rock by an explosion in a spherical cavity. J Geophys Res 74(17):4267–4280. https://doi.org/10.1029/JB074i017p04267CrossRef

Gao QD, Lu WB et al (2019) Components and evolution laws of seismic waves induced by vertical-hole blasting. Chinese J Rock Mechan Eng https://doi.org/10.13722/j.cnki.jrme.2018.0824

Hao H, Wu Y, Ma G et al (2001) Characteristics of surface ground motions induced by blasts in jointed rock mass. Soil Dynam Earthquake Eng 21(2):85–98. https://doi.org/10.1016/s0267-7261(00)00104-4CrossRef

Jiang J, Blair DP, Baird GR (1995) Dynamic response of an elastic and viscoelastic full-space to a spherical source. Int J Numer Anal Meth Geomech 19(3):181–193. https://doi.org/10.1002/nag.1610190303CrossRef

Kuhlemeyer RL, Lysmer J (1973) Finite element method accuracy for wave propagation problems. J Soil Mechan Found Div 99(Tech Rpt.

Li HB, Jiang HJ, Zhao J et al (2003) Some problems about safety analysis of rock engineering under dynamic load. Chinese J Rock Mechan Eng 22(11):1887–1891. https://doi.org/10.3321/j.issn:1000-6915.2003.11.028CrossRef

Li JC, Ma GW, Zhao J (2010) An equivalent viscoelastic model for rock mass with parallel joints. J Geophys Res. https://doi.org/10.1029/2008jb006241CrossRef

Li XF, Li HB, Li JC, Li ZW (2018a) Research on transient wave propagation across nonlinear joints filled with granular materials. Rock Mech Rock Eng 51(8):2373–2393. https://doi.org/10.1007/s00603-018-1471-8CrossRef

Li XF, Li HB, Li JC (2018b) Effect of joint thickness on seismic response across a filled rock fracture. Géotechnique Lett 8(3):190–194. https://doi.org/10.1680/jgele.18.00042CrossRef

Liang Q, An Y, Zhao L et al (2011) Comparative study on calculation methods of blasting vibration velocity. Rock Mech Rock Eng 44(1):93–101. https://doi.org/10.1007/s00603-010-0108-3CrossRef

Lu W, Luo Y, Chen M et al (2012) An introduction to Chinese safety regulations for blasting vibration. Environm Earth Sci 67(7):1951–1959. https://doi.org/10.1007/s12665-012-1636-9CrossRef

Lubliner J (1962) (1962) Cylindrical wave in a viscoelastic solid. J Acoust Soc Am 34(11):1706–1710. https://doi.org/10.1121/1.1909100CrossRef

Lysmer J, Kuhlemeyer RL (1969) Finite element model for infinite medium. J Eng Mech Div ASCE 95:859–887

Ma GW, An XM (2008) Numerical simulation of blasting-induced rock fractures. Int J Rock Mech Min Sci 45(6):966–975. https://doi.org/10.1016/j.ijrmms.2007.12.002CrossRef

Ma GW, Hao H, Zhou YX (1998) Modeling of wave propagation induced by underground explosion. Comput Geotech 22(3–4):283–303. https://doi.org/10.1016/S0266-352X(98)00011-1CrossRef

Nateghi R (2011) Prediction of ground vibration level induced by blasting at different rock units. Int J Rock Mech Min Sci 48(6):899–908. https://doi.org/10.1016/j.ijrmms.2011.04.014CrossRef

Ozer U, Kahriman A, Aksoy M et al (2008) The analysis of ground vibrations induced by bench blasting at Akyol quarry and practical blasting charts. Environ Geol 54(4):737–743. https://doi.org/10.1007/s00254-007-0859-7CrossRef

Sharpe JA (1942) The production of elastic waves by explosion pressures. I. Theory and empirical field observations. Geophysics 7(2):144–154. https://doi.org/10.1190/1.1445016CrossRef

Singh PK (2002) Blast vibration damage to underground coal mines from adjacent open-pit blasting. Int J Rock Mechan Mining Sci 39(8):959–973. https://doi.org/10.1016/S1365-1609(02)00098-9CrossRef

Thiruvenkatachar VR, Viswanathan K, Jeffreys H (1965) Dynamic response of an elastic half-space to time-dependent surface tractions over an embedded spherical cavity. Proc Royal Soc London Series A Mathemat Phys Sci 287(1411):549–567. https://doi.org/10.1098/rspa.1965.0196CrossRef

Tournat V, Pagneux V, Lafarge D et al (2004) Multiple scattering of acoustic waves and porous absorbing media. Phys Rev E 70(2):026609. https://doi.org/10.1098/rspa.1965.0196CrossRef

Tripathy GR, Shirke RR, Kudale MD (2016) Safety of engineered structures against blast vibrations: A case study. J Rock Mechan Geotechn Eng 8(2):248–255. https://doi.org/10.1016/j.jrmge.2015.10.007CrossRef

Wang LL (2007) Foundations of stress waves. Amsterdam: Elsevier Science Ltd 226-227. https://doi.org/10.1016/B978-008044494-9/50014-7

Winkler K, Nur A, Gladwin M (1979) Friction and seismic attenuation in rocks. Nature 277(5697):528. https://doi.org/10.1038/277528a0CrossRef

Yuan S, Song X, Cai W, Hu Y (2018) Analysis of attenuation and dispersion of Rayleigh waves in viscoelastic media by finite-difference modeling. J Appl Geophys 148:115–126. https://doi.org/10.1016/j.jappgeo.2017.11.010CrossRef

Zeng YQ, Li HB, Xia X et al (2018) Blast-induced rock damage control in Fangchenggang nuclear power station, China. J Rock Mechan Geotechn Eng 10(5):914–923. https://doi.org/10.1016/j.jrmge.2018.04.010CrossRef

Titel: Analytical solution of ground and underground vibration subject to spherical charge
verfasst von: Zhiwen Li
Haibo Li
Hong Zuo
Publikationsdatum: 01.02.2021
Verlag: Springer Berlin Heidelberg
Erschienen in: Environmental Earth Sciences / Ausgabe 3/2021
Print ISSN: 1866-6280
Elektronische ISSN: 1866-6299
DOI: https://doi.org/10.1007/s12665-021-09417-9

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