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Frequency-Dependent Attenuation of Blasting Vibration Waves

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Abstract

The dominant frequency, in addition to the peak particle velocity, is a critical factor for assessing adverse effects of the blasting vibration on surrounding structures; however, it has not been fully considered in blasting design. Therefore, the dominant frequency-dependent attenuation mechanism of blast-induced vibration is investigated in the present research. Starting with blasting vibration induced by a spherical charge propagating in an infinite viscoelastic medium, a modified expression of the vibration amplitude spectrum was derived to reveal the frequency dependency of attenuation. Then, ground vibration induced by more complex and more commonly used cylindrical charge that propagates in a semi-infinite viscoelastic medium was analyzed by numerical simulation. Results demonstrate that the absorptive property of the medium results in the frequency attenuation versus distance, whereas a rapid drop or fluctuation occurs during the attenuation of ground vibration. Fluctuation usually appears at moderate to far field, and the dominant frequency generally decreases to half the original value when rapid drop occurs. The decay rate discrepancy between different frequency components and the multimodal structure of vibration spectrum lead to the unsmooth frequency-dependent attenuation. The above research is verified by two field experiments. Furthermore, according to frequency-based vibration standards, frequency drop and fluctuation should be considered when evaluating blast safety. An optimized piecewise assessment is proposed for more accurate evaluation: With the frequency drop point as the breakpoint, the assessment is divided into two independent sections along the propagating path.

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Abbreviations

PPV:

Peak particle velocity

f :

Frequency

r :

Distance from blast source to monitoring point

Q :

Maximum charge per delay

e :

Explosive specific energy

d :

Borehole diameter

ρ :

Rock density

C R :

Surface wave velocity

λ :

Lame coefficient

μ :

Lame coefficient

V P :

Velocity of longitudinal wave

ν :

Poisson’s ratio

r e :

Equivalent elastic boundary radius

ω :

Angular frequency

Q r :

Geology quality factor

f d :

Dominant frequency

EOS:

Equation of state

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Acknowledgments

This work is supported by Chinese National Science Fund for Distinguished Young Scholars (51125037), Chinese National Programs for Fundamental Research and Development (973 Program) (2011CB013501), Chinese National Natural Science Foundation (51279146 and 51179138) and the Fundamental Research Funds for the Central Universities (2012206020205). They are gratefully acknowledged. The support provided by China Scholarship Council (CSC) during the visit of the first author to University of Toronto is acknowledged.

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Authors and Affiliations

  1. State Key Laboratory of Water Resources and Hydropower Engineering Science, Wuhan University, Wuhan, 430072, China

    Junru Zhou, Wenbo Lu, Peng Yan, Ming Chen & Gaohui Wang

  2. Key Laboratory of Rock Mechanics in Hydraulic Structural Engineering Ministry of Education, Wuhan University, Wuhan, 430072, China

    Junru Zhou, Wenbo Lu, Peng Yan, Ming Chen & Gaohui Wang

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  1. Junru Zhou
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  2. Wenbo Lu
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  3. Peng Yan
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  4. Ming Chen
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  5. Gaohui Wang
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Correspondence to Wenbo Lu.

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Zhou, J., Lu, W., Yan, P. et al. Frequency-Dependent Attenuation of Blasting Vibration Waves. Rock Mech Rock Eng 49, 4061–4072 (2016). https://doi.org/10.1007/s00603-016-1046-5

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  • DOI: https://doi.org/10.1007/s00603-016-1046-5

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