Scattering of Elastic Waves by Multi-Size Defects in Rock Mass

TAN Zi-han; XU Song-lin; LIU Yong-gui; XI Dao-ying

doi:10.3879/j.issn.1000-0887.2013.01.005

Volume 34 Issue 1

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TAN Zi-han, XU Song-lin, LIU Yong-gui, XI Dao-ying. Scattering of Elastic Waves by Multi-Size Defects in Rock Mass[J]. Applied Mathematics and Mechanics, 2013, 34(1): 38-48. doi: 10.3879/j.issn.1000-0887.2013.01.005

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Scattering of Elastic Waves by Multi-Size Defects in Rock Mass

doi: 10.3879/j.issn.1000-0887.2013.01.005

¹CAS Key Laboratory of Mechanical Behavior and Design of Materials,University of Science and Technology of China,Hefei 230027, P.R.China;²Ecole Polytechnique Federale De Lausanne (EPFL), School of Architecture,Civil and Environmental Engineering, Laboratory of Rock Mechanics (LMR),1015 Lausanne, Switzerland;³Mengcheng National Geophsical Observatory, School of Earth and Space Science,Univesity of Science and Technology of China, Hefei 230026, P.R.China

Received Date: 2012-07-24
Rev Recd Date: 2012-11-28
Publish Date: 2013-01-15

Abstract

Abstract

Scattering laws in rock mass which contained flat ellipse crack was researched. The Green function method was presented at mesoscopic scale; linear superposition idea was applied into this model to get wave velocity dispersion and attenuation coefficient at macroscopic scale. The characteristic frequency in frequency dispersion curve is negative correlation with crack size. It had been discovered that a Ladder jump pattern could be presented in frequency dispersion curve if rock mass contains discontinuous size crack, while its characteristic frequency region would be widened if the crack size continues to distribute, such as uniform distribution or Gauss distribution. With two acoustic testsc combined, the rationality and feasibility of this theoretic model is been discussed.
- defected rock mass,
- frequency dispersion,
- elastic harmonic wave,
- multi-size,
- characteristic frequency

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References(20)

References

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