Authors: Li, JC; An, XM; Ma, GW

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Li, JC, An, XM & Ma, GW 2008, 'Wave Propagation and Attenuation Through Filled Rock Joints', in Y Potvin, J Carter, A Dyskin & R Jeffrey (eds), Proceedings of the First Southern Hemisphere International Rock Mechanics Symposium, Australian Centre for Geomechanics, Perth, pp. 215-228.

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Abstract:
A theoretical study on normal incident P-wave transmission through a single sand filled rock joint is presented in the paper. The dynamic stress–strain relation of the filled rock joint is from the Split Hopkinson Pressure Bar (SHPB) test results. By using the displacement discontinuity method, wave propagation analysis across filled rock joint is performed. Comparison of the transmitted wave between test and analytical results has been made. Meanwhile, numerical simulation by using the Numerical Manifold Method (NMM) has also been carried out. The NMM is capable of treating both continuous and discontinuous problems in a unified framework with the consideration of the dynamic property of the filled rock joint. Comparisons show that the analytical results do agree well with the test and numerical results. Moreover, parametric studies are conducted to investigate the effects of the thickness and water content of the sand layer, frequency and amplitude of the incident wave on the P-wave transmission.

References:
Bedford, A. and Drumheller, D.S. (1994) Introduction to elastic wave propagation. Chichester: Wiley.
Bandis, S.C., Lumsden, A.C. and Barton, N.R. (1983) Fundamentals of rock joint deformation. Int. J. Rock Mech. Min. Sci. Geomech. Abstr., Vol. 20, pp. 249–268.
Bandis, S.C., Barton, N.R. and Christianson, M. (1985) Application of a new numerical model of joint behavior to rock mechanics problems. In: Proc., Int. Symposium on Fundamentals of Rock Joints. Lulea, Sweden, pp. 345–356.
Courant, R. and Hilbert, D. (1989) Methods of mathematical physics, 2v. New York: Wiley.
Cai, J.G. and Zhao, J. (2000) Effects of multiple parallel fractures on apparent attenuation of stress waves in rock masses. Int. J. Rock Mech. Min. Sci., Vol. 37(4), pp. 661–682.
Ewing, W.M., Jardetzky, W.S. and Press, F. (1957) Elastic waves in layered media. New York: McGraw-Hill.
Fan, S.C., Jiao, Y.Y. and Zhao, J. (2004) On modelling of incident boundary for wave propagation in jointed rock masses using discrete element method. Computers and Geotechnics, Vol. 31, pp. 57–66.
Gu, B., Suárez-Rivera, R., Nihei, K.T. and Myer, L.R. (1996) Incidence of plane waves upon a fracture. J. Geophys Res., Vol. 101(B11), pp. 25,337–25,346.
Hao, H., Wu, Y.K., Ma, G.W. and Zhou, Y.X. (2001) Characteristics of surface ground motions induced by blasts in jointed rock mass. Soil Dynamics and Earthquake Engineering, Vol. 21, pp. 85–98.
Heuze, F.E. and Morris, J.P. (2007) Insights into ground shock in jointed rocks and the response of structure there-in. International Journal of Rock Mechanics and Mining Sciences, Vol. 44, pp. 647–676.
Leucci, G. and Giorgi, L.D. (2006) Experimental studies on the effects of fracture on the P and S wave velocity propagation in sedimentary rock (“Calcarenite del Salento”), Engineering Geology, Vol. 84, pp. 130–142.
Miller, R.K. (1977) An approximate method of analysis of the transmission of elastic waves through a frictional boundary. J. Appl. Mech., Vol. 44, pp. 652–656.
Pyrak-Nolte, L.J., Myer, L.R. and Cook, N.G.W. (1990) Transmission of seismic waves across single natural fractures. Journal of Geophysical Research, Vol. 95(B6), pp. 8617–8638.
Pyrak-Nolte, L.J. and Nolte, D.D. (1992) Frequency dependence of fracture stiffness. Geophysical Research Letters, Vol. 19(3), pp. 325–328.
Schoenberg, M. (1980) Elastic wave behaviour across linear slip interfaces. J. Acoust. Soc. Am., Vol. 68(8), pp. 1516–1521.
Selim, M.M. and Ahmed, M.K. (2006) Propagation and attenuation of seismic body waves in dissipative medium under initial and couple stresses. Applied Mathematics and Computation, Vol. 182, pp. 1064–1074.
Shi, G.H. (1991) Manifold method of material analysis. Trans. 9th Army Conf. on Applied Mathematics and Computing, Minneapolis, Minnesota, pp. 57–76.
Shi, G.H. (1992) Modeling rock joints and blocks by manifold method. Proceedings 33rd US Rock Mechanics Symposium, San Ta Fe, New Mexico, pp. 639–648.
Sinha, U.N. and Singh, B. (2000) Testing of rock joints filled with gouge using a triaxial apparatus. International Journal of Rock Mechanics and Mining Sciences, Vol. 37, pp. 963–981.
Yi, W., Niher, K.T., Rector, J.W., Nakagawa, S., Myer, L.R. and Cook, N.G.W. (1997) Frequency-dependent seismic anisotropy in fractured rock. Int. J. Rock Mech. Min. Sci., Vol. 34(3-4), pp. 400–410.
Zhao, J., Zhao, X.B. and Cai, J.G. (2006) A further study of P-wave attenuation across parallel fractures with linear deformational behaviour. Int. J. Rock Mech. Min. Sci., Vol. 43, pp. 776–788.
Zhao, J. and Cai, J.G. (2001) Transmission of elastic P-waves across single fracture with a nonlinear normal deformational behaviour. Rock Mech. Rock Eng., Vol. 34, pp. 3–22.




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