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Application of a SPH depth-integrated model to landslide run-out analysis

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Abstract

Hazard and risk assessment of landslides with potentially long run-out is becoming more and more important. Numerical tools exploiting different constitutive models, initial data and numerical solution techniques are important for making the expert’s assessment more objective, even though they cannot substitute for the expert’s understanding of the site-specific conditions and the involved processes. This paper presents a depth-integrated model accounting for pore water pressure dissipation and applications both to real events and problems for which analytical solutions exist. The main ingredients are: (i) The mathematical model, which includes pore pressure dissipation as an additional equation. This makes possible to model flowslide problems with a high mobility at the beginning, the landslide mass coming to rest once pore water pressures dissipate. (ii) The rheological models describing basal friction: Bingham, frictional, Voellmy and cohesive-frictional viscous models. (iii) We have implemented simple erosion laws, providing a comparison between the approaches of Egashira, Hungr and Blanc. (iv) We propose a Lagrangian SPH model to discretize the equations, including pore water pressure information associated to the moving SPH nodes.

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Acknowledgments

The authors wish to thank the Geotechnical Engineering Office, Civil Engineering and Development Department of the Government of the Hong Kong SAR for providing the digital terrain models for the Hong Kong landslide cases. The financial support of the Spanish MCINN (Project GeoDyn), and the EC-Project SafeLand (FP7 European project “Living with landslide risk in Europe: Assessment, effects of global change, and risk management strategies”) are gratefully acknowledged.

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Authors and Affiliations

  1. Mathematical Modelling in Engineering Group (M2i), Department of Applied Mathematics and Computer Science, ETS Ingenieros de Caminos, Universidad Politécnica de Madrid, Madrid, Spain

    M. Pastor, T. Blanc, B. Haddad, S. Petrone, M. Sanchez Morles & V. Drempetic

  2. Norwegian Geotechnical Institute and International Centre for Geohazards, Oslo, Norway

    D. Issler

  3. Department of Earth and Environmental Sciences, Università degli Studi di Milano Bicocca, Milan, Italy

    G. B. Crosta

  4. University of Salerno, Salerno, Italy

    L. Cascini, G. Sorbino & S. Cuomo

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Pastor, M., Blanc, T., Haddad, B. et al. Application of a SPH depth-integrated model to landslide run-out analysis. Landslides 11, 793–812 (2014). https://doi.org/10.1007/s10346-014-0484-y

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