Blast-induced ground vibrations: a dynamic analysis by FEM

Authors

DOI:

https://doi.org/10.33448/rsd-v11i13.35421

Keywords:

Blasting; Ground vibration; Finite element method; Peak particle velocities; PPV.

Abstract

The peak particle velocities (PPV) are fundamental for understanding and managing the levels of blast-induced ground vibrations and their effects on adjacent structures. Given that numerical analysis of seismic vibrations has been demonstrated to be a method that can significantly contribute to predicting PPV, this study adopts a numerical approach using the finite element method (FEM) to assess blasting-induced ground vibration in rock masses. A dynamic module of the stress-strain analysis based on the FEM displacement formulation is developed in ANLOG software to estimate the variations of displacement, velocity, strain, and stress induced by blasting. The dynamic modulus implemented is verified using two verification examples. After, ANLOG is used in an application example to estimate seismic vibrations induced by blasting and to define the attenuation law for a limestone quarry near an urbanized area in Spain. The effect of Rayleigh damping coefficients (α and β) on the PPV levels estimated by ANLOG was investigated, and the most appropriate numerical attenuation law is then obtained. The numerical analysis presents satisfactory results for elastic-wave propagation induced by blasting and the peak particle velocity values obtained shows good agreement with field and the numerical results available in the specialized literature. The results indicate that ANLOG can perform personalized analysis of rock mass under blast-induced dynamic stress taking into consideration the geological and geomechanical characteristics particular to each medium as well as the blast parameters.

References

ABNT NBR 9653. (2018). NBR 9653: Guia para avaliação dos efeitos provocados pelo uso de explosivos nas minerações em áreas urbanas – Procedimento. Rio de Janeiro.

Ainalis, D., Kaufmann, O., Tshibangu, J. P., Verlinden, O., & Kouroussis G. (2017). Modelling the Source of Blasting for the Numerical Simulation of Blast-Induced Ground Vibrations: A Review. Rock Mechanics and Rock Engineering, 50(1):171-193.

Ambraseys, N. R., & Hendron, A. J. (1968). Dynamic behaviour of rock masses: rock mechanics in engineering practices. Wiley, London.

Aydan, O. (2017). Rock dynamics. CRC Press/Balkema, London.

Azizabadi, H. R. M., Mansouri, H., & Fouché, O. (2014). Coupling of two methods, waveform superposition and numerical, to model blast vibration effect on slope stability in jointed rock masses. Computers and Geotechnics, 61:42–9.

Babanouri, N., Mansouri, H., Nasab, S. K., & Bahaadini, M. (2013). A coupled method to study blast wave propagation in fractured rock masses and estimate unknown properties. Computers and Geotechnics, 49:134–42.

Bathe, K. J. (1996). Finite element procedures. Prentice-Hall Inc., New Jersey.

Bhandari, S. (1997). Engineering rock blasting operations. A. A. Balkema Publishers, Rotterdam/Brookfield.

Biggs, J. M. (1964). Introduction to structural dynamics. McGraw-Hill, New York.

Cardoso, E. R. (2011). Simulação numérica da detonação de explosivos não ideais. [Doctoral dissertation, Universidade de Coimbra].

Cervantes, L. M. T. (2011). Resistência de maciços rochosos estruturalmente complexos de mineração submetidos a carregamentos dinâmicos. [Doctoral dissertation, Universidade de Brasília].

Chopra, A. K. (2012). Dynamics of structures. (4th ed.) Prantice-Hall, Boston.

Clough, R. W., & Penzien, J. (2003). Dynamics of structures. (3th ed.) Computers & Structures Inc., Berkeley.

Cook, R. D., Malkus, D. S., Plesha, M. E., & Witt, R. J. (2001). Concepts and applications of finite element analysis. (4th ed.) John Willeys & Sons Inc., Madison.

Duvall, W. I., & Petkof, B. (1959). Spherical propagation of explosion generated strain pulses in rock. USBM RI 5483.

Gou, Y., Shi, X., Zhou, J., Qiu, X., Chen, X., & Huo, X. (2020). Attenuation assessment of blast-induced vibrations derived from an underground mine. International Journal of Rock Mechanics and Mining Sciences, 127:104220.

Gui, Y. L., Zhao, Z. Y., Jayasinghe, L. B., Zhou, H. Y., & Tao, M. (2018). Blast wave induced spatial variation of ground vibration considering field geological conditions. International Journal of Rock Mechanics and Mining Sciences, 101:63-68.

Gui, Y. L., Zhao, Z. Y., Zhou, H. Y., Goh, A. T. C., & Jayasinghe, L. B. (2017). Numerical Simulation of Rock Blasting Induced Free Field Vibration. Procedia Engineering, 191:451–7.

Hu, L., Liu, M., Wu, X., Zhao, G., & Li, P. (2018). Damage-vibration couple control of rock mass blasting for high rock slopes. International Journal of Rock Mechanics and Mining Sciences, 103:137-144.

Jimeno, C. L., Jimeno, E. L., & Carcedo, F. J. A. (1995). Drilling and blasting of rocks. A. A. Balkema Publishers, Rotterdam/Brookfield.

Jommi, C., & Pandolfi, A. (2008). Vibrations induced by blasting in rock: a numerical approach. Rivista Italiana di Geotecnica, 20:77–94.

Koppe, J. C., & Costa, J. F. C. L. (2012). Operações de lavra em pedreiras. In: Luz, A. B., & Almeida, S. L. M. (eds) Manual de agregados para construção civil. (2th ed.) CETEM, Rio de Janeiro, 127-164.

Langefors, U., & Kihlstrom, B. (1963). The modern technique of rock blasting. Wiley, New York.

Liu, K., Hao, H., & Li, X. (2017). Numerical analysis of the stability of abandoned cavities in bench blasting. International Journal of Rock Mechanics and Mining Sciences, 92:30-39.

Lu, W., Yang, J., Chen, M., & Zhou, C. (2011). An equivalent method for blasting vibration simulation. Simulation Modelling Practice and Theory, 19:2050–62.

Ma, G. W., Hao, H., & Zhou, Y. X. (1998). Modeling of wave propagation induced by underground explosion. Computers and Geotechnics, 22:283–303.

Munaretti, E. (2002). Avaliação da utilização de AN/FO fabricado in situ em pedreira de calcário. [Master’s thesis, Universidade Federal do Rio Grande do Sul].

Nogueira, C. L. (1998). Análise não linear de escavações e aterros. [Doctoral dissertation, Pontifícia Universidade Católica do Rio de Janeiro].

Persson, P. A., Holmberg, R., & Lee, J. (1994). Rock blasting and explosives engineering. CRC Press, Boca Raton.

Saharan, M. R., & Mitri, H. S. (2008). Numerical procedure for dynamic simulation of discrete fractures due to blasting. Rock Mechanics and Rock Engineering, 41:641–70.

Semblat, J. F. (2012). Modeling seismic wave propagation and amplification in 1D/2D/3D linear and nonlinear unbounded media. International Journal of Geomechanics, 11:440–8.

Toraño, J., Rodríguez, R., Diego, I., Rivas, J. M., & Casal, M. D. (2006). FEM models including randomness and its application to the blasting vibrations prediction. Computers and Geotechnics, 33:15–28.

Trigueros, E., Cánovas, M., Muñoz, J. M., & Cospedal, J. (2017). A methodology based on geomechanical and geophysical techniques to avoid ornamental stone damage caused by blast-induced ground vibrations. International Journal of Rock Mechanics and Mining Sciences, 93:196–200.

Xu, J., Kang, Y., Wang, X., Feng, G., & Wang, Z. (2019). Dynamic characteristics and safety criterion of deep rock mine opening under blast loading. International Journal of Rock Mechanics and Mining Sciences, 119:156-167.

Zorzal, C. B. (2019). Análise dinâmica via MEF das vibrações induzidas pelo desmonte de rochas. [Master’s thesis, Universidade Federal de Ouro Preto].

Zorzal, C. B., Santos, F. L., Silva, J. M., & Souza, R. F. (2022). Predição de vibrações induzidas por desmontes de rochas por explosivos usando redes neurais artificiais. Research, Society and Development, 11 (11), e576111134020.10.33448/rsd-v11i11.34020

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Published

05/10/2022

How to Cite

ZORZAL, C. B. .; NOGUEIRA, C. de L.; LIMA, H. M. de . Blast-induced ground vibrations: a dynamic analysis by FEM. Research, Society and Development, [S. l.], v. 11, n. 13, p. e205111335421, 2022. DOI: 10.33448/rsd-v11i13.35421. Disponível em: https://rsdjournal.org/index.php/rsd/article/view/35421. Acesso em: 14 nov. 2024.

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Section

Engineerings