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Influence of Bed Curvature on the Numerical Modelling of Unconstrained Granular Materials

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Abstract

This paper deals with the theoretical-numerical and experimental analysis of dry rock avalanches moving down a chute.

Depth-averaged field equations of balance of mass and momentum as prescribed by Savage and Hutter (1991) are implemented in the RASH3D code. They describe the temporal evolution of the depth averaged velocity and the distribution of the avalanche depth. A Coulomb-type mechanical behavior of the mass is assumed. To incorporate the curvature effects of the bed, the centripetal acceleration term has been here implemented in the code.

Carried out experiments consist in the release of granular material on an inclined plane that is connected to a horizontal run-out zone through a sharp transition. Comparison of the experimental findings with the computational results proved that neglecting the centripetal acceleration term can have the effect of leading to errors in the determination of the well fitted friction angle. In particular, an overestimation of the computed dynamic friction angle respect to its measured value is observed.

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References

  • Audusse E, Bristeau MO, Perthame B, (2000) Kinetic schemes for Saint-Venant equations with source terms on unstructured grids. INRIA report 3989, National Institute for research and computational sciences and control, Le Chesnay

    Google Scholar 

  • Bristeau MO, Coussin B, Perthame B (2001) Boundary conditions for the shallow water equations solved by kinetic schemes. INRIA report 4282, National institute for research and computational sciences and control, LeChesnay

    Google Scholar 

  • Chen H, Lee CF (2000) Numerical simulation of debris flows. Can Geotech J 37:146–160

    Article  Google Scholar 

  • Denlinger RP, Inverson RM (2004) Granular avalanches across irregular three-dimensional terrain: 1. Theory and computation. J Geophys Res 109: F01014, 14pp, doi:10.1029/2003JF000085

    Google Scholar 

  • Mangeney-Castelnau A, Vilotte JP, Bristeau O, Perthame B, Bouchut F, Simeoni C, Yerneni S (2003) Numerical modelling of avalanches based on Saint Venant equations using a kinetic scheme. J Geophys ResSolid Earth 108(B11):2527

    Article  Google Scholar 

  • Manzella I (2008) Dry rock avalanche propagation: unconstrained flow experiments with granular materials and blocks at small scale. Ph.D. thesis 4032, Ecole Polytechnique Fédérale de Lausanne, Switzerland

    Google Scholar 

  • Manzella I, Labiouse V (2008) Qualitative analysis of rock avalanches propagation by means of physical modelling of not constrained gravel flows. Rock Mech Rock Eng J 41(1):133–151

    Article  Google Scholar 

  • Manzella I, Labiouse V (2009) Flow experiments with gravel and blocks at small scale to investigate parameters and mechanisms involved in rock avalanches. Eng Geol 109(1):146–158

    Article  Google Scholar 

  • McDougall S (2006) A new continuum dynamic model for the analysis of extremely rapid landslide motion across complex 3D terrain. Ph.D. dissertation, University of British Columbia, Canada

    Google Scholar 

  • McDougall S, Hungr O (2004) A model for the analysis of rapid landslide motion across three-dimensional terrain. Can Geotech J 41:1084–1097

    Article  Google Scholar 

  • Pastor M, Quecedo M, Gonzalez E, Herreros MI, Fernandez Merodo JA, Mira P (2004) Modelling of landslides: (II) propagation, degradations and instabilities in geomaterials. In: Darve, F., Vardoulakis, I (eds) CISM courses and lectures No. 461, Springer

    Google Scholar 

  • Pirulli M (2005) Numerical modelling of landslide runout, a continuum mechanics approach. Ph.D. dissertation, Politecnico di Torino, Italy, 204pp

    Google Scholar 

  • Pisani G, Pirulli M, Labiouse V, Scavia C (in prep.) The role of the centripetal acceleration on the propagation of flow-like landslides on a complex topography

    Google Scholar 

  • Savage SB, Hutter K (1989) The motion of a finite mass of granular material down a rough incline. J Fluid Mech 199:177–215

    Article  Google Scholar 

  • Savage SB, Hutter K (1991) The dynamics of granular materials from initiation to runout. Acta Mech 86:201–223

    Article  Google Scholar 

Download references

Acknowledgments

The authors wish to thank Anne Mangeney (IPGP, France) and Marie-Odile Bristeau (INRIA, France) for having offered the use of the SHWCIN code and for having helped to solve some fundamental numerical problems.

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Correspondence to Gabriele Pisani .

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Pisani, G., Pirulli, M., Labiouse, V., Scavia, C. (2013). Influence of Bed Curvature on the Numerical Modelling of Unconstrained Granular Materials. In: Margottini, C., Canuti, P., Sassa, K. (eds) Landslide Science and Practice. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-642-31310-3_36

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