TECHNICAL PAPERS
Dec 1, 2007

Cellular-Automata Model for Dense-Snow Avalanches

Publication: Journal of Cold Regions Engineering
Volume 21, Issue 4

Abstract

This paper introduces a three-dimensional model for simulating dense-snow avalanches, based on the numerical method of cellular automata. This method allows one to study the complex behavior of the avalanche by dividing it into small elements, whose interaction is described by simple laws, obtaining a reduction of the computational power needed to perform a three-dimensional simulation. Similar models by several authors have been used to model rock avalanches, mud and lava flows, and debris avalanches. A peculiar aspect of avalanche dynamics, i.e., the mechanisms of erosion of the snowpack and deposition of material from the avalanche is taken into account in the model. The capability of the proposed approach has been illustrated by modeling three documented avalanches that occurred in Susa Valley (Western Italian Alps). Despite the qualitative observations used for calibration, the proposed method is able to reproduce the correct three-dimensional avalanche path, using a digital terrain model, and the order of magnitude of the avalanche deposit volume.

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Acknowledgments

The writers wish to thank L. Caffo and A. Dotta of Consorzio Forestale Alta Valle Susa (CFAVS) for providing the data from the in situ observations.

References

Ancey, C. (2001). “Snow avalanches.” Lect. Notes Phys., 582, 319–338.
Avolio, M. V., Crisci, G. M., D’Ambrosio, D., Di Gregorio, S., Iovine, G., Rongo, R., and Spataro, W. (2003). “An extended notion of cellular automata for surface flows modelling.” WSEAS Trans. Circuits Syst., 2, 1080–1085.
Barbolini, M., Biancardi, A., Cappabianca, F., Natale, L., and M. Pagliardi (2005). “Laboratory study of erosion processes in snow avalanches.” Cold Regions Sci. Technol., 43, 1–9.
Barbolini, M., Gruber, U., Keylock, C., Naaim, M., and Savi, F. (2000). “Application of statistical and hydraulic-continuum dense-snow avalanche model to five real European sites.” Cold Regions Sci. Technol., 31, 133–149.
Bartelt, P., Christen, M., Gruber, U., and Filaferro, E. (2002). “AVAL-1D: An avalanche dynamics program for the practice.” Proc., Interpraevent 2002 in the Pacific Rim, Vol. 2, Int. Res. Soc. Interpraevent for the Pacific Rim, Matsumoto, Japan, 715–725.
Beghin, P., Hopfinger, E., and Britter, R. (1981). “Gravitational convection from instantaneous sources on inclined boundaries.” J. Fluid Mech., 107, 407–422.
Crisci, G. M., Di Gregorio, S., Rongo, R., and Spataro, W. (2005). “PYR: A Cellular Automata model for pyroclastic flows and application to the 1991 Mt. Pinatubo eruption.” FGCS, Future Gener. Comput. Syst., 21, 1019–1032.
D’Ambrosio, D., Di Gregorio, S., and Iovine, G. (2003). “Simulating debris flows through a hexagonal cellular automata model: Sciddica S3-hex .” Nat. Hazards Earth Syst. Sci., 3, 545–559.
Denlinger, R. P., and Iverson, R. M. (2001). “Flow of variably fluidized granular masses across three-dimensional terrain. 2. Numerical predictions and experimental tests.” J. Geophys. Res., 106(B1), 553–566.
Di Gregorio, S., and Serra, R. (1999). “An empirical method for modelling and simulating some complex macroscopic phenomena by cellular automata.” FGCS, Future Gener. Comput. Syst., 16, 259–271.
Gray, J. M. N. T., Wieland, M., and Hutter, K. (1998). “Gravity-driven free surface flow of granular avalanches over complex basal topography.” Proc. R. Soc. London, Ser. A, 455, 1841–1874.
Hutter, K., Szidarovszky, F., and Yakowitz, S. (1986). “Plane steady shear flow of a cohesionless granular material down an inclined plane: A model for flow avalanches.” Acta Mech., 63, 87–112.
Iverson, R. M., and Denlinger, R. P. (2001). “Flow of variably fluidized granular masses across three-dimensional terrain. 1. Coulomb mixture theory.” J. Geophys. Res., 106(B1), 537–552.
McClung, D., and Schaerer, P. (1992). The avalanche handbook, The Mountaineers, Seattle.
Mellor, M. (1978). “Dynamics of snow avalanches.” Rockslides and avalanches, 1: Natural phenomena, developments in geotechnical engineering, B. Voight, ed., Vol. 14A Elsevier Scientific, New York, 753–792.
Norem, H., Irgens, F., and Schieldrop, B. (1989). “Simulation of snow-avalanche flow in run-out zones.” Ann. Glaciol., 13, 218–225.
Savage, S. B., and Hutter, K. (1989). “The motion of a finite mass of granular material down a rough incline.” J. Fluid Mech., 199, 177–215.
Savage, S. B., and Hutter, K. (1991). “The dynamics of avalanches of granular materials from initiation to runout.” Acta Mech., 86, 201–223.
Segre, E., and Deangeli, C. (1995). “Cellular automaton for realistic modelling of landslides.” Nonlinear Processes Geophys., 2, 1–15.
Sovilla, B. (2004). “Field experiments and numerical modelling of mass entrainment and deposition processes in snow avalanches.” Ph.D. thesis, Swiss Federal Institute of Technology, Zurich, Switzerland.
Sovilla, B., and Bartelt, P. (2002). “Observation and modelling of snow avalanche entrainment.” Nat. Hazards Earth Syst. Sci., 2, 169–179.
Tai, Y. C., Hutter, K., and Gray, J. M. N. T. (2001). “Dense granular avalanches: Mathematical description and experimental validation.” Lect. Notes Phys., 582, 339–366.
Toffoli, T. (1984). “Cellular automata as an alternative to (rather than an approximation of) differential equations in modeling physics.” Physica D, 10, 117–127.
Wang, Y., Hutter, K., and Pudasaini, S. P. (2004). “The Savage-Hutter theory: A system of partial differential equations for avalanche flows of snow, debris and mud.” Z. Angew. Math. Mech., 84, 507–527.
Wieland, M., Gray, J. M. N. T., and Hutter, K. (1999). “Channelized free-surface flow of cohesionless granular avalanches in a chute with shallow lateral curvature.” J. Fluid Mech., 392, 73–100.
Wolfram, S. (2002). A new kind of science, Wolfram Media Inc., Champaign, Ill.

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Go to Journal of Cold Regions Engineering
Journal of Cold Regions Engineering
Volume 21Issue 4December 2007
Pages: 121 - 140

History

Received: Apr 24, 2006
Accepted: Apr 25, 2007
Published online: Dec 1, 2007
Published in print: Dec 2007

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Authors

Affiliations

Assistant Professor, Dept. of Structural and Geotechnical Engineering, Politecnico di Torino, Corso Duca degli Abruzzi 24, 10129 Torino, Italy (corresponding author). E-mail: [email protected]
M. Borri-Brunetto
Assistant Professor, Dept. of Structural and Geotechnical Engineering, Politecnico di Torino, Corso Duca degli Abruzzi 24, 10129 Torino, Italy.
L. Delli Veneri
Consultant, Dept. of Structural and Geotechnical Engineering, Politecnico di Torino, Corso Duca degli Abruzzi 24, 10129 Torino, Italy.

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