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Numerical study on oblique incidence across rock masses with linear and nonlinear joints

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Abstract

The two-dimensional discrete element program Universal Distinct Element Code (UDEC) is applied to simulate stress wave propagation across linear and nonlinear rock joints with arbitrary incident angles. The numerical study for stress wave obliquely impinging upon a single linearly elastic joint is firstly conducted. For this case, the wave-type transformation is analyzed and the variations of transmission and reflection coefficients with joint stiffness and incident angle are investigated numerically. It is found that numerical results agree well with those from existing theoretical methods, which demonstrates the feasibility of using UDEC to simulate the propagation of obliquely incident stress wave across a single joint. Furthermore, the transmission of obliquely incident waves across a set of parallel joints is investigated and compared with analytical solutions when the joints are linearly and nonlinearly elastic, respectively. The numerical results indicate that the parameters, such as the joint number, the joint spacing and the mechanical property of joints, have great influence on wave propagation through joints. The results in the present study may provide a reference for revealing stress wave propagation across jointed rock masses and the responses of rock masses subjected to dynamic loads.

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References

  • Cai JG, Zhao J (2000) Effects of multiple parallel fractures on apparent attenuation of stress waves in rock masses. Int J Rock Mech Min Sci 37(4):661–682

    Article  Google Scholar 

  • Deng XF, Zhu JB, Chen SG, Zhao J (2012) Some fundamental issues and verification of 3DEC in modeling wave propagation in jointed rock masses. Rock Mech Rock Eng 45:943–951

    Google Scholar 

  • Fan SC, Jiao YY, Zhao J (2004) On modeling of incident boundary for wave propagation in jointed rock masses using discrete element method. Comput Geotech 31(1):57–66

    Article  Google Scholar 

  • Goodman RE (1976) Methods of geological engineering in discontinuous rocks. John Wiley and Sons, New York, pp. 135–140

    Google Scholar 

  • Lei WD, Hefny AM, Yan S, Teng J (2007) A numerical study on 2-D compressive wave propagation in rock masses with a set of joints along the radial direction normal to the joints. Comput Geotech 34:508–523

    Article  Google Scholar 

  • Li JC, Ma GW (2010) Analysis of blast wave interaction with a rock joint. Rock Mech Rock Eng 43(6):777–787

    Article  Google Scholar 

  • Li JC, Ma GW, Zhao J (2011) Analysis of stochastic seismic wave interaction with a slippery rock fault. Rock Mech Rock Eng 44(1):85–92

    Article  Google Scholar 

  • Li JC (2013) Wave propagation across nonlinear rock joints based on time-domain recursive method. Geophys J Int 193(2):970–985

    Article  Google Scholar 

  • Lysmer J, Kuhlemeyer RL (1969) Finite dynamic model for infinite media. ASCE Journal of the Engineering Mechanics Division 95(EM4):869–877

    Google Scholar 

  • Pyrak-Nolte LJ, Myer LR, Cook NGW (1990) Transmission of seismic waves across single natural fractures. J Geophys Res 95(B6):8617–8638

    Article  Google Scholar 

  • Pyrak-Nolte LJ (1996) Seismic response of fractures and the interrelations among fractures. Int J Rock Mech Min Sci 33(8):787–802

    Article  Google Scholar 

  • Schoenberg M (1980) Elastic wave behavior across linear slip interfaces. J Acoust Soc Am 68(5):1516–1521

    Article  Google Scholar 

  • Sun L, Zhao GF, Zhao J (2013) Particle manifold method (PMM): a new continuum-discontinuum numerical model for geomechanics. Int J Numer Anal Meth Geomech 37(12):1711–1736

    Article  Google Scholar 

  • Zhao J, Cai JG (2001) Transmission of elastic P-blast waves across single fracture with a nonlinear normal deformational behaviour. Rock Mech Rock Eng 34:3–22

    Article  Google Scholar 

  • Zhao XB, Zhao J, Hefny AM, Cai JG (2006a) Normal transmission of S-wave across parallel fractures with coulomb slip behavior. J Eng Mech ASCE 132(6):641–650

    Article  Google Scholar 

  • Zhao J, Zhao XB, Cai JG (2006b) A further study of P-blast wave attenuation across parallel fractures with linear deformational behaviour. Int J Rock Mech Min Sci 43:776–788

    Article  Google Scholar 

  • Zhu JB, Deng XF, Zhao XB, Zhao J (2013) A numerical study on wave propagation across multiple joint sets in rock masses with UDEC. Rock Mech Rock Eng. doi:10.1007/s00603-012-0352-9

    Google Scholar 

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Acknowledgments

The authors gratefully acknowledge the financial support from the National Natural Science Foundation of China (Grant Nos. 51174190 and 51439008).

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Authors and Affiliations

  1. State Key Laboratory of Geomechanics and Geotechnical Engineering, Institute of Rock and Soil Mechanics, Chinese Academy of Sciences, Wuhan, Hubei, 430071, China

    Haibo Li, Yaqun Liu, Jianchun Li, Tingting Liu, Xiang Xia & Bo Liu

  2. Yellow River Engineering Consultant Co. Ltd, Zhengzhou, Henan, 450003, China

    Fengwei Yang

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  1. Haibo Li
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  2. Yaqun Liu
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  3. Jianchun Li
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  4. Fengwei Yang
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  5. Tingting Liu
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  6. Xiang Xia
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  7. Bo Liu
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Correspondence to Yaqun Liu.

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Li, H., Liu, Y., Li, J. et al. Numerical study on oblique incidence across rock masses with linear and nonlinear joints. Arab J Geosci 9, 20 (2016). https://doi.org/10.1007/s12517-015-2020-3

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  • DOI: https://doi.org/10.1007/s12517-015-2020-3

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