Block Element Method for the Seismic Stability of Rock Slopes
Publication: Journal of Geotechnical and Geoenvironmental Engineering
Volume 136, Issue 12
Abstract
The seismic stability analysis of rock slope is implemented using a block element method (BEM) in this paper. Based on the formulations of the matrices of stiffness, mass, and damping, the dynamic governing equation for the rock block system is established. The Wilson method is used to solve the dynamic governing equation, and the viscoelastic artificial boundary condition is introduced to treat the unbound domain problem. The proposed method is applied to the seismic stability analysis of the intake slope in a hydropower project, from which the dynamic safety factors of key block element combinations during earthquake and their dynamic amplification factors of acceleration are evaluated.
Get full access to this article
View all available purchase options and get full access to this article.
Acknowledgments
Support of the Ministry of Science and Technology of China under Contract No. NSFC2008BAB29B01 is gratefully appreciated. The writers thank the Lille University of Science and Technology who offered a guest professor position for the first witer in 2007 and 2008 to complete this research. The writers also thank the anonymous reviewers and editors for their suggestions to improve the research.
References
Al-Homoud, A. S., and Tahtamoni, W. W. (2000). “Reliability analysis of three-dimensional dynamic slope stability and earthquake-induced permanent displacement.” Soil Dyn. Earthquake Eng., 19(2), 91–114.
Ang, A. H. S., and Newmark, N. M. (1977). “A probabilistic seismic safety assessment of the Diablo Canyon Nuclear Power Plant.” Rep. to the U.S. Nuclear Regulatory Commission, U.S. Nuclear Regulatory Commission, Washington, D.C.
Bardet, J. P., and Scott, R. F. (1985). “Seismic stability of fractured rock masses with the distinct element method.” Proc., 26th U.S Symp. Rock Mech, Balkema, Rapid City, S.D., 139–149.
Bathe, K. J. (1982). Finite-element procedures in engineering analysis, Prentice-Hall, Englewood Cliffs, N.J.
Chen, S. H., Li, Y. M., Wang, W. M., and Shahrour, I. (2004). “Analysis of gravity dam on a complicated rock foundation using an adaptive block element method.” J. Geotech. Geoenviron. Eng., 7, 759–763.
Chen, S. H., Shahrour, I., Egger, P., and Wang, W. M. (2002). “Elastoviscoplastic block element method and its application to arch dam abutment slopes.” Rock Mech. Rock Eng., 35(3), 171–193.
Chen, S. H., Xu, M. Y., Shahrour I., and Egger, P. (2003). “Analysis of arch dams using coupled trial load and block element methods.” J. Geotech. Geoenviron. Eng., 11, 977–986.
Clayton, R. W., and Engquist, B. (1980). “Absorbing boundary conditions for wave equation migration.” Geophysics, 45(5), 895–904.
Cundall, P. A., and Hart, D. H. (1992). “Numerical modelling of discontinua.” Eng. Comput., 9(2), 101–113.
Deeks, A. J., and Randolph, M. F. (1994). “Axisymmetric time-domain transmitting boundaries.” J. Eng. Mech., 120(1), 25–42.
Eringen, A. C., and Suhubi, E. S. (1974). Elastodynamics, Academic Press, New York.
Higdon, R. L. (1986). “Absorbing boundary conditions for difference approximations to the multidimensional wave equation.” Math. Comput., 47(176), 437–459.
Kramer, S. L. (1996). Geotechnical earthquake engineering, Prentice-Hall, Upper Saddle River, N.J.
Lysmer, J., and Kuhlemeyer, R. L. (1969). “Finite dynamic model for infinite media.” J. Engrg. Mech. Div., 95(4), 859–877.
Shi, G. H. (1992). “Discontinuous deformation analysis: A new numerical model for the statics and dynamics of deformable block structures.” Eng. Comput., 9(2), 157–168.
Information & Authors
Information
Published In
Copyright
© 2010 ASCE.
History
Received: Aug 15, 2007
Accepted: Aug 26, 2008
Published online: Nov 15, 2010
Published in print: Dec 2010
Authors
Metrics & Citations
Metrics
Citations
Download citation
If you have the appropriate software installed, you can download article citation data to the citation manager of your choice. Simply select your manager software from the list below and click Download.