Journal of Central South University of Technology

, Volume 13, Issue 6, pp 743–748 | Cite as

Numerical study on maximum rebound ratio in blasting wave propagation along radian direction normal to joints

  • Lei Wei-dong  (雷卫东)Email author
  • Teng Jun  (滕军)
  • Hefny A. 
  • Zhao Jian  (赵坚)
  • Guan Jiong  (关炯)


In the process of 2-D compressional wave propagation in a rock mass with multiple parallel joints along the radian direction normal to the joints, the maximum possible wave amplitude corresponding to the points between the two adjacent joints in the joint set is controlled by superposition of the multiple transmitted and the reflected waves, measured by the maximum rebound ratio. Parametric studies on the maximum rebound ratio along the radian direction normal to the joints were performed in universal distinct element code. The results show that the maximum rebound ratio is influenced by three factors, i.e., the normalized normal stiffness of joints, the ratio of joint spacing to wavelength and the joint from which the wave rebounds. The relationship between the maximum rebound ratio and the influence factors is generalized into five charts. Those charts can be used as the prediction model for estimating the maximum rebound ratio.

Key words

2-D compressional wave maximum rebound ratio stiffness of joint 

CLC number



Unable to display preview. Download preview PDF.

Unable to display preview. Download preview PDF.


  1. [1]
    Bedford A, Drumheller D S. Introduction to elastic wave propagation [M]. 1st ed. Chichester: John Wiley and Sons, 1994.Google Scholar
  2. [2]
    Schoenberg M. Elastic wave behavior across linear slip interfaces[J]. Journal of Acoustics Society of America, 1980, 68(5): 1516–1521.CrossRefGoogle Scholar
  3. [3]
    Pyrak-Nolte L J. The seismic visibility of fractures[D]. California: University of California Berkeley, 1988.Google Scholar
  4. [4]
    Pyrak-Nolte L J, Myer L R, Cook N G W. Anisotropy in seismic velocities and amplitudes from multiple parallel fractures[J]. Journal of Geophysical Research, 1990, 95(B7): 11345–11358.CrossRefGoogle Scholar
  5. [5]
    Cai J G, Zhao J. Effects of multiple parallel fractures on apparent wave attenuation in rock masses[J]. International Journal of Rock Mechanics and Mining Sciences, 2000, 37(4): 661–682.CrossRefGoogle Scholar
  6. [6]
    Zhao J, Cai J G. Transmission of elastic P-waves across single fractures with a nonlinear normal deformational behavior[J]. Rock Mechanics and Rock Engineering, 2001, 34(1): 3–22.MathSciNetCrossRefGoogle Scholar
  7. [7]
    Lei W D. Numerical studies on 2-D compressional wave propagation in jointed rock masses due to impact load in tunnels and boreholes[D]. Singapore: Nanyang Technological University, 2005.Google Scholar
  8. [8]
    Lei W D, Teng J, Hefny M A, et al. Transmission ratio (T n) in the radian direction normal to joints in 2-D compressional wave propagation in rock masses[J]. Journal of University of Science and Technology Beijing, 2006, 13(3):199–206.CrossRefGoogle Scholar
  9. [9]
    Lei W D, Hefny M A, Teng J, et al. Verification of numerical modeling in 2-D wave propagation in rock[J]. Journal of China University of Mining and Technology: English Edition, 2005, 15(4): 309–313.Google Scholar
  10. [10]
    Lei W D, Hefny M A, Zhao J. Pilot studies on two dimensional wave propagation in rock masses[J]. Transactions of. Nonferrous Metals Society of China, 2005, 15(4): 949–955.Google Scholar
  11. [11]
    Chen S G, Cai J G, Zhao J, et al. Discrete element modeling of an underground explosion in jointed rock mass[J]. Geotechnical and Geological Engineering, 2000, 18(2): 59–78.CrossRefGoogle Scholar
  12. [12]
    Chen S G, Zhao J. A study of UDEC modeling for blast wave propagation in jointed rock masses[J]. International Journal of Rock Mechanics and Mining Sciences, 1998, 35(1): 93–99.CrossRefGoogle Scholar
  13. [13]
    Lee C B. Fracturing characteristics of Bukit Timah granite[D]. Singapore: Nanyang Technological University, 2002.Google Scholar
  14. [14]
    Itasca Consulting Group Inc. UDEC manual[K]. Minneapolis, 1996Google Scholar

Copyright information

© Published by: Central South University Press, Sole distributor outside Mainland China: Springer 2006

Authors and Affiliations

  • Lei Wei-dong  (雷卫东)
    • 1
    Email author
  • Teng Jun  (滕军)
    • 1
  • Hefny A. 
    • 2
  • Zhao Jian  (赵坚)
    • 3
    • 4
  • Guan Jiong  (关炯)
    • 5
  1. 1.Department of Urban and Civil Engineering, Shenzhen Graduate SchoolHarbin Institute of TechnologyShenzhenChina
  2. 2.School of Civil and Environmental EngineeringNanyang Technological UniversitySingaporeSingapore
  3. 3.Ecole Polytechnique Federale de Lausanne (EPFL)Rock Mechanics LaboratoryLausanneSwitzerland
  4. 4.College of Architecture and Civil EngineeringChina University of Mining and TechnologyXuzhouChina
  5. 5.Kvaerner E&C Singapore Pte. Ltd.SingaporeSingapore

Personalised recommendations