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Resisting impact mechanical analysis of an anchored roadway supporting structure under P-wave loading and its application in rock burst prevention

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Abstract

Due to resisting impact characteristics of anchored roadway supporting structures not being taken into full consideration in the existing mechanism of roadway dynamic failure, a dynamic analysis model of the bearing structure of rocks surrounding a mine roadway was built and the dynamic action of P-waves was analysed. An expression for additional impact resistance Qd under dynamic loading was proposed and the rock burst criterion for an anchoring roadway supporting structure was given with corresponding prevention measures made. The results show that (1) the action of a P-wave can be divided into five time intervals according to the interaction between the incident, and reflected, P-wave in the elastic zone of the rock surrounding the roadway, (2) the dynamic failure area (Rp − Rf) and dynamic failure time td of the elastic zone can be obtained, based on the total stress state under the superposition of static and dynamic loads and the Mohr-Coulomb strength criterion, (3) the static cumulative resistance Qs, caused by rock deformation, is the basis of dynamic failure, while the additional impact resistance Qd, which was resulted from the energy release during failure of the elastic zone, is the driver of dynamic failure. Consequently, the dynamic failure of support will occur when the real-time total resistance Q (Qs + Qd) is greater than the ultimate resistance Q, and (4) prevention measures can be undertaken by taking pressure-release measures and improving roadway support parameters.

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Abbreviations

ρ e, ρ p :

Densities of elastic zone and plastic zone (kg/m3)

c Pe, c Pp :

Propagation speeds of P-wave in elastic zone and plastic zone (m/s)

ρ e c Pe, ρ p c Pp :

Wave impedances of elastic zone and plastic zone (kg/(m2·s))

n :

Ratio of wave impedance ρecPe to wave impedance ρpcPp

F :

Reflection coefficient (F = (1-n)/(1 + n))

τ d :

Shear dynamic stress (Pa)

e e :

Elastic energy density (J/m3)

E e :

Elastic energy (J)

S f :

Cross-sectional area of failure zone (m2)

e min :

Energy density required for coal-rock failure (J/m3)

K :

Proportionality coefficient between f (t) and t (f(t) = K·t)

f m´:

Peak impact load on plastic zone (N)

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Funding

Financial support for this work provided by the Fundamental Research Funds for the Central Universities (Grant no. 2017BSCXB45) and the Postgraduate Research & Practice Innovation Program of Jiangsu Province (Grant no. KYCX17_1556) is gratefully acknowledged.

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Authors and Affiliations

  1. Key Laboratory of Deep Coal Resource Mining, Ministry of Education of China, School of Mines, China University of Mining & Technology, Xuzhou, Jiangsu, 221116, China

    Zheng-yi Wang, Lin-ming Dou, Gui-feng Wang, Long-fei Feng, Kai Kang, Jin-zheng Bai & Sheng-chuan Wang

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  1. Zheng-yi Wang
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  2. Lin-ming Dou
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  3. Gui-feng Wang
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  4. Long-fei Feng
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  7. Sheng-chuan Wang
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Correspondence to Lin-ming Dou.

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Wang, Zy., Dou, Lm., Wang, Gf. et al. Resisting impact mechanical analysis of an anchored roadway supporting structure under P-wave loading and its application in rock burst prevention. Arab J Geosci 11, 81 (2018). https://doi.org/10.1007/s12517-018-3426-5

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