Abstract
The classical exponential elastic model and the BB hyperbolic elastic model are used to investigate the effects of nonlinear normal deformation on elastic P-wave normal incidence without the shear deformation considered. A theoretical research is presented on normally incident P-wave transmission across single dry joint with these different nonlinear normal deformation behaviors. Based on the classical and the BB nonlinear models, the different nonlinear displacement discontinuity models are established. Numeric difference resolution and analytic resolution of reflected and transmitted coefficients for normally incident P-wave propagates across single joint with different nonlinear normal deformation behaviors are obtained. Then parametric studies are conducted, in terms of the quantitative ratio of the joint current maximum closure to the joint maximum allowable closure, the joint initial normal stiffness and the incident wave frequency. Comparisons between the results of different nonlinear behaviors are drawn and the conclusions have theoretical meaning.
Access this chapter
Tax calculation will be finalised at checkout
Purchases are for personal use only
Preview
Unable to display preview. Download preview PDF.
References
Hudson J.A. (1981). Wave speeds and attenuation of elastic waves in material containing cracks. Geophysical Journal of the Royal Astronomical Society, 64(1): 133–150.
Angle Y.C., Achenbach J.D. (1985). Reflection and transmission of elastic waves by a periodic array of cracks. Journal of Applied Mechanics, 52(1): 33–46.
Achenbatch J.D., Norris A.N. (1982). Loss of specular reflection due to nonlinear crack-face interaction. Journal of Nondestructive Evaluation, 3(4): 229–239.
Smyshlyaev V.P., Willis J.R. (1994). linear and nonlinear scattering of elastic waves by microcracks. Journal of Mechanics and Physics of Solids, 42(4): 585–610.
Schoenberg M. (1980). Elastic wave behavior across linear slip interfaces. Journal of Acoustic Society of America, 68(5): 1516–1521.
Kitsunezaki C. (1983). Behavior of plane elastic waves across a plane crack. Journal of Mining College of Akita University, 6(3): 173–187.
Yi W., Nihei K.T., Rector J.W., et al. (1997). Frequency-dependence seismic anisotropy in jointd rock. Inter national Journal of Rock Mechanics and Mining Science, 34(3/4): 349–360.
Zhao J., Cai J.G. (2001). Transmission of elastic P-wave across single joints with a nonlinear normal deformational behavior. Rock Mechanics and Rock Engineering, 34(1): 3–22.
Goodman R.E. (1974). The mechanical properties of joints. Proceedings of 3rd International Congress of Rock Mechanics, Denver, 127–140.
Goodman R.E. (1976). Methods of geological engineering in discontinuous rocks. New York, West, 472–490.
Bandis S.C., Lumsden A.C. and Barton N.R. (1983). Fundamentals of rock joint deformation. International Journal of Rock Mechanics and Mining Sciences and Geomechnics Abstracts, 20(6): 249–268.
Barton N.R., Bandis S.C. and Bakhtar K. (1985). Strength, deformation and conductivity coupling of rock joints. International Journal of Rock Mechanics and Mining Sciences and Geomechnics Abstracts, 22(3): 121–140.
Shehata W.M. (1971). Geohydrology of mount vernon canyon area. Golden: Colorado school of mines, Ph.D.Thesis.
Malama B., Kulatilake P.H.S.W. (2003). Models for normal joint deformation under compressive loading. International Journal of Rock Mechanics and Mining Sciences, 40(6): 893–901.
Wang W.H., Li X.B. and Zuo Y.J. (2006). Effects of single joint with nonlinear normal deformation on P-wave propagation. Chinese Journal of Rock Mechanics and Engineering, 25(6): 1218–1225.(in Chinese)
Author information
Authors and Affiliations
Editor information
Editors and Affiliations
Rights and permissions
Copyright information
© 2008 Science Press Beijing and Springer-Verlag GmbH Berlin Heidelberg
About this paper
Cite this paper
Yu, J. (2008). Effects of Single Joint with Different Nonlinear Normal Deformationalbehaviors on P-Wave Propagation. In: Liu, H., Deng, A., Chu, J. (eds) Geotechnical Engineering for Disaster Mitigation and Rehabilitation. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-540-79846-0_52
Download citation
DOI: https://doi.org/10.1007/978-3-540-79846-0_52
Publisher Name: Springer, Berlin, Heidelberg
Print ISBN: 978-3-540-79845-3
Online ISBN: 978-3-540-79846-0
eBook Packages: Earth and Environmental ScienceEarth and Environmental Science (R0)