Analytical Solutions for Three-Dimensional Stability of Coastal Slope

  • C. Y. HanEmail author
  • X. H. Xia
  • J. H. Wang
Conference paper
Part of the Springer Geology book series (SPRINGERGEOL)


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.


Stability Landslides Limit analysis Coastal slope 



This study was substantially supported by the grant from the National Natural Science Foundation of China (Grant No. 41172251, 41002095).


  1. 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.Google Scholar
  2. Drucker, D. C., & Prager, W. (1952). Soil mechanics and plastic analysis or limit design. Quarterly of Applied Mathematics, 10(2), 157–165.CrossRefGoogle Scholar
  3. 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.CrossRefGoogle Scholar
  4. 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.CrossRefGoogle Scholar
  5. 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.CrossRefGoogle Scholar
  6. Krastel, S., Schmincke, H. U. et al. (2001). Submarine landslides around the Canary Islands. Journal of Geophysical Research-Solid Earth, 106(B3), 3977–3997.Google Scholar
  7. 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.Google Scholar
  8. 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.CrossRefGoogle Scholar
  9. Locat, J. (2001). Instabilities along ocean margins: A geomorphological and geotechnical perspective. Marine and Petroleum Geology, 18(4), 503–512.CrossRefGoogle Scholar
  10. Locat, J., Brink, U. S. T. et al. (2010). The block composite submarine landslide, southern New England Slope, USA: A Morphological Analysis.Google Scholar
  11. Locat, J., & Lee, H. J. (2002). Submarine landslides: advances and challenges. Canadian Geotechnical Journal, 39(1), 193–212.CrossRefGoogle Scholar
  12. Malamud, B. D., Turcotte, D. L., et al. (2004). Landslide inventories and their statistical properties. Earth Surface Processes and Landforms, 29(6), 687–711.CrossRefGoogle Scholar
  13. McAdoo, B. G., & Watts, P. (2004). Tsundami hazard from submarine landslides on the Oregon continental slope. Marine Geology, 203(3–4), 235–245.CrossRefGoogle Scholar
  14. Michalowski, R. L., & Drescher, A. (2009). Three-dimensional stability of slopes and excavations. Geotechnique, 59(10), 839–850.CrossRefGoogle Scholar
  15. 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.CrossRefGoogle Scholar
  16. Tinti, S., & Bortolucci, E. (2000). Energy of water waves induced by submarine landslides. Pure and Applied Geophysics, 157(3), 281–318.CrossRefGoogle Scholar
  17. 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.CrossRefGoogle Scholar

Copyright information

© Springer-Verlag Berlin Heidelberg 2013

Authors and Affiliations

  1. 1.Department of Civil EngineeringShanghai Jiaotong UniversityShanghaiChina
  2. 2.Center for Marine Geotechnical EngineeringShanghai Jiaotong UniversityShanghaiChina

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