Numerical Study of Elastic Wave Propagation Characteristics in Cracked Rock

DOI: 10.4236/jamp.2014.26046   PDF        3,113 Downloads   3,882 Views   Citations

Abstract

Numerical methods can provide extremely powerful tools for analysis and design of engineering systems with complex factors that are not possible or very difficult with the use of the conventional methods. In this paper, we use the 2-D boundary element method (BEM) program to model elastic wave excited by a point explosive source propagating in cracked rocks. As an example, we consider the typical crack distributions in rocks, both models for the real crack structure are also talked about. The elastic wave propagating in rocks with aligned cracks and parallel fractures is assumed. Effects of different crack parameters, such as crack scale length and crack density are analyzed. Numerical results show that the BEM is a powerful interpretive tool for understanding the complicated wave propagation and interaction in cracked solids.

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Han, K. and Cao, R. (2014) Numerical Study of Elastic Wave Propagation Characteristics in Cracked Rock. Journal of Applied Mathematics and Physics, 2, 391-396. doi: 10.4236/jamp.2014.26046.

Conflicts of Interest

The authors declare no conflicts of interest.

References

[1] Maultzsch, S., Chapman, M., Liu, E. and Li, X.Y. (2003) Modeling Frequency-Dependent Seismic Anisotropy in Flu-id-Saturated Rock with Aligned Fractures: Implication of Fracture Size Estimation from Anisotropic Measurements. Geophysical Prospecting, 51, 381-392. http://dx.doi.org/10.1046/j.1365-2478.2003.00386.x
[2] Hudson, J.A. (1986) A Higher Order Approximation to the Wave Propagation Constants for Cracked Solid. Geophysical Journal of the Royal Astronomical Society, 87, 265-274. http://dx.doi.org/10.1111/j.1365-246X.1986.tb04556.x
[3] Chapman, C.H. and Drummond, R. (1982) Body-Wave Seismograms in Inhomogeneous Media Using Maslov Asym-ptotic Theory. Bulletin of the Seismological Society of America, 72, 277-317.
[4] Fehler, M. and Aki, K. (1978) Numerical Study of Diffraction of Plane Elastic Waves by a Finite Crack with Application to Location of a Magma Lens. Bulletin of the Seismological Society of America, 68, 573-598.
[5] Lysmer, J. and Drake, L.A. (1972) A Finite Element Method for Seismology. Methods of Computational Physics, Academic Press, New York, 11.
[6] Wu, R.S. and Aki, K. (1985) Scattering Characteristics of Elastic Wave by an Elastic Heterogeneity. Geophysics, 50, 582-589. http://dx.doi.org/10.1190/1.1441934
[7] Wu, R.S. (1994) Wide-Angle Elastic Wave One-Way Propagation in Hete-rogeneous Media and an Elastic Wave Complex-Screen Method. Journal of Geophysical Research, 9, 751-766. http://dx.doi.org/10.1190/1.1441934
[8] Neuberg, J. and Pointer, T. (1995) Modelling Seismic Reflections from D″ Using the Kirchohoff Method. Physics of the Earth and Planetary Interiors, 90, 273-281. http://dx.doi.org/10.1016/0031-9201(95)05089-T
[9] Zhang, G.Y. and Zeng, X.W. (2002) Numerical Modeling of Elastic Waves Propagating in the Anisotropic/Hetero-geneous Media by the Pseudo-Spectral Method. Journal of National University of Defense Technology, 24, 18-22.
[10] Han, K.F. and Zeng, X.W. (2006) Using Boundary-Element Numeric Simulation to Prove Hudson Fractural Medium Theory. Oil Geophysical Prospecting, 41, 534-540.

  
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