Abstract
The theory describing amplification of failure near disturbances is generalized on homogeneous waves incident on the contact losing the strength. Viscous deformations on the contact are taken into consideration. The equations describing reflected and refracted waves of amplification are derived. The general conditions are given for arising amplification. Parameters controlling the process are estimated for particular cases.
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REFERENCES
W. D. Ortlepp, “High ground displacement velocities associated with rockburst damage,” in: Proceedings of the 3rd International Symposium on Rockbursts and Seismicity in Mines, P. Young (ed.), Rotterdam, Balkema (1993).
A. McGarr, “A mechanism for high wall-rock velocities in rockbursts,” in: Proceedings of Workshop on Induced Seismicity (2nd North American Rock Mechanics Symposium), S. Talebi (ed.), Rotterdam, Balkema (1996).
R. J. Durrheim, D. H. Kullmann, R. D. Stewart, and M. Grodner, “Seismic excitation of the rock mass surrounding an excavation in highly stresses ground,” in: Proceedings of the 2nd North American Rock Mechanics Symposium, M. Aubertin, F. Hassani, and H. Mitri (eds.), Rotterdam, Balkema (1996).
A. M. Lin'kov and R. J. Durrheim, “Wave amplification and dynamic phenomena in rocks,” in: Sborn. Dokl. Mezhdunar. Conf. Gorn. Geofiz., VNIMI, Saint Petersburg (1998).
A. M. Lin'kov and R. J. Durrheim, “Velocity amplification considered as a phenomenon of elastic energy release due to strength loss,” in: Proceedings of the 3rd International Conference on Mechanics of Jointed and Fractured Rock (MJFR-3), H. P. Rossmanith (ed.), Rotterdam, Balkema (1998).
A. M. Lin'kov, “Instability, fracture acceleration, and wave amplification,” Int. J. Rock Mech. Mining Sci., 1–2 (2000).
L. A. Nazarov, “Dynamic deformation of bodies with line of displacement rupture,” Fiz.-Tekh. Probl. Razrab. Polezn. Iskop., No. 3 (1988).
P. A. Cundall and N. J. Lemos, “Numerical simulation of fault instabilities with a continuously-yielding joint model,” in: Proceedings of the 2nd International Symposium on Rockbursts and Seismicity in Mines, Ch. Fairhurst (ed.), Rotterdam, Balkema (1990).
A. M. Lin'kov, “Keynote lecture: new geomechanical approaches to develop quantitative seismicity,” in: Proceedings of the 4th International Symposium on Rockbursts and Seismicity in Mines, S. J. Gibowicz, S. Lasocki (eds.), Rotterdam, Balkema, (1997).
N. G. W. Cook, “Natural joints in rock: mechanical, hydraulic and seismic behavior and properties under normal stress,” Int. J. Rock Mech. Mining Sci. & Geomech. Abstr, 29 (1992).
L. J. Pyrak-Nolte, “Schlumberger lecture: the seismic response of fractures and interrelation among fracture properties,” Int. J. Rock Mech. Mining Sci. & Geomech. Abstr, 33 (1996).
A. M. Aizenberg, K. D. Klem-Musatov, and E. I. Landa, “Model of anisotropic seismic medium,” in: Seismic Waves in Complicated Media [in Russian], Nauka, Novosibirsk (1974).
K. Aki and P. Richards, Quantitative Seismology: Theory and Methods [Russian translation], 2, Mir, Moscow (1983).
G. Korn and T. Korn, Handbook on Mathematics [in Russian], Nauka, Moscow (1968).
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Lin'kov, A.M. On Amplification of Seismic Waves near Disturbances. Journal of Mining Science 37, 225–239 (2001). https://doi.org/10.1023/A:1013177126372
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DOI: https://doi.org/10.1023/A:1013177126372