Abstract
The theory of limit analysis is presented for three-dimensional stability of coastal slope. In the frictional soils, the failure surface has the shape of logarithm helicoids, with outline defined by log-spirals. Dissipation rate and gravity power are obtained. By solving the energy balance equation, the expression of stability factor for coastal slope is obtained. The influences of the ratio of width and height and slope angle on the stability are evaluated. Numerical results are presented in the form of graphs. Some examples illustrate the practical use of the results.
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References
Densmore, A. L., Ellis, M. A. et al. (1998). Landsliding and the evolution of normal-fault-bounded mountains. Journal of Geophysical Research-Solid Earth, 103(B7), 15203–15219.
Drucker, D. C., & Prager, W. (1952). Soil mechanics and plastic analysis or limit design. Quarterly of Applied Mathematics, 10(2), 157–165.
Grilli, S. T., Taylor, D. S., et al. (2009). A probabilistic approach for determining submarine landslide tsunami hazard along the upper east coast of the United States. Marine Geology, 264(1–2), 74–97.
Guzzetti, F., Malamud, B. D., et al. (2002). Power-law correlations of landslide areas in central Italy. Earth and Planetary Science Letters, 195(3–4), 169–183.
Hutton, E. W. H., & Syvitski, J. P. M. (2004). Advances in the numerical modeling of sediment failure during the development of a continental margin. Marine Geology, 203(3–4), 367–380.
Krastel, S., Schmincke, H. U. et al. (2001). Submarine landslides around the Canary Islands. Journal of Geophysical Research-Solid Earth, 106(B3), 3977–3997.
L’Heureux, J. S., Hansen, L., et al. (2010). A multidisciplinary study of submarine landslides at the Nidelva fjord delta, Central Norway—implications for geohazard assessment. Norwegian Journal of Geology, 90(1–2), 1–20.
Lee, S. H., & Stow, D. A. V. (2007). Laterally contiguous, concave-up basal shear surfaces of submarine land-slide deposits (Miocene), southern Cyprus: differential movement of sub-blocks within a single submarine landslide lobe. Geosciences Journal, 11(4), 315–321.
Locat, J. (2001). Instabilities along ocean margins: A geomorphological and geotechnical perspective. Marine and Petroleum Geology, 18(4), 503–512.
Locat, J., Brink, U. S. T. et al. (2010). The block composite submarine landslide, southern New England Slope, USA: A Morphological Analysis.
Locat, J., & Lee, H. J. (2002). Submarine landslides: advances and challenges. Canadian Geotechnical Journal, 39(1), 193–212.
Malamud, B. D., Turcotte, D. L., et al. (2004). Landslide inventories and their statistical properties. Earth Surface Processes and Landforms, 29(6), 687–711.
McAdoo, B. G., & Watts, P. (2004). Tsundami hazard from submarine landslides on the Oregon continental slope. Marine Geology, 203(3–4), 235–245.
Michalowski, R. L., & Drescher, A. (2009). Three-dimensional stability of slopes and excavations. Geotechnique, 59(10), 839–850.
Ten Brink, U. S., Barkan, R., et al. (2009). Size distributions and failure initiation of submarine and subaerial landslides. Earth and Planetary Science Letters, 287(1–2), 31–42.
Tinti, S., & Bortolucci, E. (2000). Energy of water waves induced by submarine landslides. Pure and Applied Geophysics, 157(3), 281–318.
Walters, R., Barnes, P., et al. (2006). Locally generated tsunami along the Kaikoura coastal margin: Part 2. Submarine landslides. New Zealand Journal of Marine and Freshwater Research, 40(1), 17–28.
Acknowledgments
This study was substantially supported by the grant from the National Natural Science Foundation of China (Grant No. 41172251, 41002095).
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Han, C.Y., Xia, X.H., Wang, J.H. (2013). Analytical Solutions for Three-Dimensional Stability of Coastal Slope. In: Huang, Y., Wu, F., Shi, Z., Ye, B. (eds) New Frontiers in Engineering Geology and the Environment. Springer Geology. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-642-31671-5_31
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DOI: https://doi.org/10.1007/978-3-642-31671-5_31
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