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Theoretical and Experimental Investigations of the Blast Vibration Resistance of Cement-Grouted Rock

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Abstract

The impact of blast vibrations on cement-grouted rock is an unresolved challenge in construction projects where blasting is conducted near the grouted areas. This study investigates the blast vibration resistance of cement-grouted rock using both theoretical and experimental approaches. An analytical model is first presented based on structural characteristics and mechanical properties to describe the stress wave propagation in cement-grouted rock mass and to investigate the failure modes at its bonding interfaces. A model to calculate the safe vibration velocity (SVV) is then proposed to study the effects of the incident angle, in-situ stress, and bonding strength on cement-grouted rock. Next, an experiment was conducted to analyse the blast vibration resistance of cement-grouted rock and to validate the SVV model. Finally, several recommendations regarding safe blast vibration velocities for grouted areas were provided. The results indicate that cement-grouted rock has a high blast vibration resistance, which can be improved by increasing the incident angle, in-situ stress, or bonding strength. A normally incident wave was identified as the most dangerous for cement-grouted rock; thus, the SVV is the minimal in that case. For 3, 7, and 28-day-old cement-grouted rock, the SVV is suggested to be 6, 9, and 13 cm/s, respectively.

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Abbreviations

\(t\) :

Time at which the incident wave arrives

\(\vec{U}_{nm}\) :

Displacement field of a harmonic plane stress wave

\(A_{nm}\) :

Displacement amplitude

\(\vec{d}_{n}\) :

Unit vector in the direction of displacement

\(i\) :

Imaginary number

\(\vec{k}_{nm}\) :

Wave number

\(\vec{p}_{n}\) :

Unit vector in the direction of wave propagation

\(w\) :

Circular frequency

\(\theta_{nm}\) :

Angle between the direction of wave propagation and the z-axis

\(m \) :

The number of transmission and reflection of a given wave

\(\vec{i}_{j}\) :

Unit vector of in the direction of the axis

\(\lambda ,\mu\) :

Lame constants

\(\sigma_{z1}\) :

z-Direction stress of the interface on the incident wave side

\(\sigma_{z1}^{\prime }\) :

z-Direction stress of the interface on the transmitted wave side

\(\sigma_{x1}\) :

x-Direction stress of the interface on the incident wave side

\(\sigma_{x1}^{\prime }\) :

x-Direction stress of the interface on the transmitted wave side

\(u_{z1}\) :

z-Direction displacements of the interface on the incident wave side

\(u_{z1}^{\prime }\) :

z-Direction displacements of the interface on the transmitted wave side

\(u_{x1}\) :

x-Direction displacements of the interface on the incident wave side

\(u_{x1}^{\prime }\) :

x-Direction displacements of the interface on the transmitted wave side

\(\sigma_{n0}\) :

In-situ stress parallel to the interface

\(\tau_{0}\) :

In-situ stress perpendicular to the interface

\(C\) :

Cohesion of the interface

\(\varphi_{s}\) :

Static friction angle of the interface

\(\sigma_{l}\) :

Additional tensile stress in the normal direction

\(\sigma_{c}\) :

Additional compressive stress in the normal direction

\(\sigma_{t}\) :

Ultimate tensile strength of the bonding interface

\(\varepsilon_{t}\) :

Ultimate tensile strain of the bonding interface

\(\varepsilon_{z}\) :

Strains in z- direction

\(\varepsilon_{x}\) :

Strains in x- direction

\(E\) :

Elastic modulus

\(\rho\) :

Density

\({\upnu }\) :

Poisson’ ratio

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Acknowledgments

This work is supported by National Natural Science Foundation of China (Grant No. 51779193, No. 51479147). The authors wish to express their thanks to the supporters.

Funding

This work is supported by National Natural Science Foundation of China (Grant No. 51779193, No. 51479147). The authors wish to express their thanks to the supporters.

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Authors and Affiliations

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

    Ke Deng, Ming Chen, Dong Wei, Wenbo Lu, Chuangbing Zhou & Ying Sun

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

    Ke Deng, Ming Chen, Dong Wei, Wenbo Lu, Chuangbing Zhou & Ying Sun

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  1. Ke Deng
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  2. Ming Chen
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  3. Dong Wei
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Correspondence to Ming Chen.

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Deng, K., Chen, M., Wei, D. et al. Theoretical and Experimental Investigations of the Blast Vibration Resistance of Cement-Grouted Rock. Rock Mech Rock Eng 53, 4183–4199 (2020). https://doi.org/10.1007/s00603-020-02166-4

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  • DOI: https://doi.org/10.1007/s00603-020-02166-4

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