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Comparative Study on Calculation Methods of Blasting Vibration Velocity

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Abstract

Due to the extreme complexities in rock blasting and difficulties in theoretical or numerical analysis, and the enormous consumption of explosives in mining and construction operations, empirical or semi-empirical formulae for blasting vibration velocity (BVV) were obtained from observations and measurements in field blast tests and are still widely used all over the world. This paper investigates the fitting degree and characteristics of several calculation methods for BVV based on 34 sets of data samples from 27 projects belonging to 4 types. The results indicate that both the cube-root scaling formula and the square-root scaling formula have relatively good fitting degree, while the multiple regression analysis can give the best fitting outcome if the sample space satisfies certain requirements. Whether the cube-root scaling formula or the square-root scaling formula is chosen to analyze the relationship between BVV and scaled distance depends on the average scaled distance under cubic-root scaling. If the average scaled distance is over 0.1, the cube-root scaling formula should be used; otherwise, the square-root scaling formula should be used. Bigger samples integrated from data samples of different projects but in the same type were then analyzed to get the empirical relations for different types of projects. The correlation coefficients of these relations are quite good, thus these relations can be used for reference in other similar projects. This paper then discusses the physical meanings of parameters in different formulae, sample selection and parameter choice for BVV. It suggests that the current calculation methods for explosive charge, blasting-to-monitoring distance and scaled distance need to be improved. It also concludes that the integrated BVV from velocity components in three-dimensions is more reasonable on a theoretical basis. It can yield good results in predicting the blasting vibration, and should be used as widely as possible.

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References

  • Cai D, Zhang J, Liu H et al (1996) Field test research on blasting seismic effects on rock mass of dam foundation in the Three Gorges Project. Yangtze River 27(3):6–9 (in Chinese)

    Google Scholar 

  • Duvall WI, Fogelson D (1962) Review of criteria for estimating damage to residences from blasting vibrations. U.S. Bureau of Mines RI 5968

  • Gao S, Wang M, Shi T (2003) Influences of borehole aperture on attenuation of particle blasting vibration velocity. Min Technol 3(4):36–37, 40 (in Chinese)

    Google Scholar 

  • Guo H (2006) Blasting vibration monitoring and control technology applied in construction of Huaishuping Tunnel. Tunn Constr 26(5):47–49, 78 (in Chinese, with abstract in English)

    Google Scholar 

  • Hao H, Wu C, Zhou Y (2002) Numerical analysis of blast-induced stress waves in a rock mass with anisotropic continuum damage models part 1: equivalent material property approach. Rock Mech Rock Eng 35(2):79–94

    Article  Google Scholar 

  • Jiang D, Chen Y, Ren S (2008) Monitoring and controlling techniques on blasting vibration of tunnels with super small clear spacing. West China Explor Eng 10:188–191 (in Chinese)

    Google Scholar 

  • Li S (1998) Some experience on tunnel blasting construction with small clear spacing. Railw Constr Technol 6(4):26–28 (in Chinese)

    Google Scholar 

  • Li Y, Hou D (1999) Blasting vibration test and attenuation law investigation for the north-section side slope in Jinduicheng open-pit stope. China Molybd Ind 23(4):35–38 (in Chinese, with abstract in English)

    Google Scholar 

  • Li G, Li Z (1999) Monitoring and analysis on blasting vibration of stope slopes. Nonferrous Metals Metall 3:21–25 (in Chinese)

    Google Scholar 

  • Li Y, Ni Z (1997) The characteristics on surface vibration of blasting in underground engineering. Chin J Rock Mech Eng 16:274–278 (in Chinese, with abstract in English)

    Google Scholar 

  • Li H, Shu D (2005) Influential factors in blasting vibration attenuation law. Eng J Wuhan Univ 38(1):79–82 (in Chinese, with abstract in English)

    Google Scholar 

  • Li C, Xue D (1993) Processing monitoring data of seismic effect induced by cluster blasting through equivalent distance and its software system design. Eng Des Res 3:17–22 (in Chinese)

    Google Scholar 

  • Li X, Zhu R, Zhu W et al (1997) In situ testing study of protective layer for blasting vibration reduction under complex environment. Chin J Rock Mech Eng 16:584–589 (in Chinese, with abstract in English)

    Google Scholar 

  • Li L, Li S, Zhang Q et al (2008) Analysis of dynamic response on blasting excavation of close-spaced tunnel. J Highw Transp Res Dev 25(7):100–106 (in Chinese, with abstract in English)

    Google Scholar 

  • Lv T, Shi Y, Huang C et al (2007) Study on attenuation parameters of blasting vibration by nonlinear regression analysis. Rock Soil Mech 28(9):1871–1878 (in Chinese, with abstract in English)

    Google Scholar 

  • National Standards of the Peoples Republic of China (2003) Blasting safety regulations (GB6722-2003). China Standards Publishing House, Beijing, pp 41–45 (in Chinese)

  • Nicholls HR, Johnson CF, Duvall WI (1971) Blasting vibrations and their effects on structures. U.S. Department of Interior, Bureau of Mines Bulletin 656

  • Ning L (2006) Study on influences of stope blasting vibration on environment at Sijiaying Iron Mine. Express Inf Min Ind 2:41–43 (in Chinese)

    Google Scholar 

  • Revey GF (2001) Evaluating and managing construction blasting risk. Pract Period Struct Design Construct 6(1):19–24

    Article  Google Scholar 

  • Saiang D, Nordlund E (2009) Numerical analyses of the influence of blast-induced damaged rock around shallow tunnels in brittle rock. Rock Mech Rock Eng 42:421–448

    Article  Google Scholar 

  • Shi T (2001) A discussion on division of influence area of blasting-induced seismicity. Min Res Dev 21(2):45–47 (in Chinese, with abstract in English)

    Google Scholar 

  • Shi X, Tian J, Wang H (2008) Regression analysis and time frequency analysis of blasting vibration measurement data in Donggua Hill Mine. Blasting 25(2):77–81 (in Chinese, with abstract in English)

    Google Scholar 

  • Tang H, Li H, Jiang P et al (2007a) Experimental study on effect of topography on propagation of blasting waves. Chin J Rock Mech Eng 26:1817–1823 (in Chinese, with abstract in English)

    Google Scholar 

  • Tang H, Shi Y, Li H et al (2007b) Prediction of peak velocity of blasting vibration based on neural network. Chin J Rock Mech Eng 26(s1):3533–3539 (in Chinese, with abstract in English)

    Google Scholar 

  • Tian Y, Zhang L, Chen C et al (2004) Monitoring and controlling of blasting vibration velocity during foundation pit excavation. Non-ferrous Metals (Mine Edition) 56(6):35–37 (in Chinese)

    Google Scholar 

  • Tripathy GR, Gupta ID (2002) Prediction of ground vibrations due to construction blasts in different types of rock. Rock Mech Rock Eng 35:195–204

    Article  Google Scholar 

  • Wang X, Liu H (2005) Reasonable selection of K in blasting vibration velocity regression analysis and its application. J Wuhan Univ Technol 27(11):103–104, 109 (in Chinese, with abstract in English)

    Google Scholar 

  • Wang Y, Liang K, Tian X (2005) Study on attenuation of seismic waves induced by underground digging blasting vibration of Zhouning Hydropower Station. Chin J Rock Mech Eng 24:4111–4114 (in Chinese, with abstract in English)

    Google Scholar 

  • Wiss JF (1968) Effect of blasting vibrations on buildings and people. Civil Engineering, ASCE, NY, pp 46–48

  • Xiong D, Gu Y (2002) Advances in the theory and technology of rock blasting. Metallurgical Industry Press, Beijing, pp 155–179 (in Chinese)

    Google Scholar 

  • Xu H, Zhang J, Yang H et al (2007) Investigation on calculating formula of vibration velocity in drilling blasting and its simplification. J Tongji Univ (Natural Science) 35:899–903, 914 (in Chinese, with abstract in English)

    Google Scholar 

  • Yang W, Yang B (2005) Numerical analysis of explosion seismic effect. Earthq Eng Eng Vib 25(1):8–13 (in Chinese, with abstract in English)

    Google Scholar 

  • Yang Z, Liu H, Wu H (2006) Study on the technology of blasting vibration control in construction of small clear distance tunnel. Mod Transp Tech 4:37–41 (in Chinese, with abstract in English)

    Google Scholar 

  • Zhang J, Peng Q (2001) Field experiment and analyses of attenuation law for seismic waves resulting from rock blasting. J Liaoning Tech Univ (Natural Science) 20:399–401 (in Chinese, with abstract in English)

    Google Scholar 

  • Zhang J, Cao X, Zheng S et al (2005a) Experimental study on vibration effects of ground due to shallow tunnel blasting. Chin J Rock Mech Eng 24:4158–4163 (in Chinese, with abstract in English)

    Google Scholar 

  • Zhang J, Guo X, Zheng S et al (2005b) Experimental study on vibration characteristics of rock mass blasting at layered slopes. Chin J Undergr Space Eng 1(7):1041–1044 (in Chinese, with abstract in English)

    Google Scholar 

  • Zhang C, Li X, Cao J (2007a) In situ experimental study on transmission of blasting vibration wave in groups of tunnels. Blasting 24(4):71–76 (in Chinese, with abstract in English)

    Google Scholar 

  • Zhang Y, Cao P, Gao S (2007b) Study on the attenuation law of vibration velocities from blasting with medium-length Holes in Wushan Copper Mine. Nonferrous Metal (Edition for Mine) 59(6):35–38 (in Chinese, with abstract in English)

    Google Scholar 

  • Zhao J, Liu Y, Li J (2007) Study on vibration monitoring technique of tunnel blasting construction under complicated buildings. Railw Eng 1:33–34 (in Chinese)

    Google Scholar 

  • Zhou J, Chen J (1990) Calculating methods for Q and R in vibration test from pre-splitting blasting. Blasting 1:53–55 (in Chinese)

    Google Scholar 

  • Zhu J (2007) The safety evaluation of the close building under the tunnel blasting vibration. Chin J Explos Propellant 30(1):78–80 (in Chinese, with abstract in English)

    Google Scholar 

Download references

Acknowledgments

This study was supported by “Qing Lan” Talent Engineering Funds (QL-08-19A) from Lanzhou Jiaotong University.

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Authors and Affiliations

  1. School of Civil Engineering, Lanzhou Jiaotong University, Lanzhou, 730070, Gansu, People’s Republic of China

    Qingguo Liang, Yafang An, Lei Zhao & Dewu Li

  2. Geotechnical Engineering Group, Los Angeles Department of Water and Power, City of Los Angeles, CA, USA

    Liping Yan

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  1. Qingguo Liang
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  2. Yafang An
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  3. Lei Zhao
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  4. Dewu Li
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  5. Liping Yan
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Correspondence to Qingguo Liang.

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Liang, Q., An, Y., Zhao, L. et al. Comparative Study on Calculation Methods of Blasting Vibration Velocity. Rock Mech Rock Eng 44, 93–101 (2011). https://doi.org/10.1007/s00603-010-0108-3

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  • DOI: https://doi.org/10.1007/s00603-010-0108-3

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