Numerical modeling of self-channeling granular flows and of their levee-channel deposits

Journal of Geophysical Research: Earth Surface

Volumn 112, Issue 2, 2007, Pages

  Mangeney, A ^a,b   Bouchut, F ^c   Thomas, Nathalie ^d   Vilotte, J P ^a   Bristeau, Marie Odile ^e,f  

^a INSTITUT DE PHYSIQUE DU GLOBE DE PARIS   (France)

^b UNIVERSITY OF CALIFORNIA   (United States)

^c ECOLE NORMALE SUPÉRIEURE   (France)

^d AIX MARSEILLE UNIVERSITÉ   (France)

^e INRIA ROCQUENCOURT   (France)

^f INRIA   (France)

Author keywords

[No Author keywords available]

Indexed keywords

CHANNEL MORPHOLOGY; EMPIRICAL ANALYSIS; FLOW MODELING; FRICTION; LEVEE; MORPHOLOGY; PRESSURE GRADIENT; PYROCLASTIC DEPOSIT;

EID: 34548349100     PISSN: None     EISSN: 21699011     Source Type: Journal    
DOI: 10.1029/2006JF000469     Document Type: Article

References (56)

1. Audusse, E., F. Bouchut, M. O. Bristeau, R. Klein and B. Perthame (2004), A fast and stable well-balanced scheme with hydrostatic reconstruction for shallow water flows, SIAM J. Sci. Comput., 25, 2050-2065.
2. Bouchut, F. (2004), Nonlinear Stability of Finite Volume Methods for Hyperbolic Conservation Laws, and Well-Balanced Schemes for Sources, Frontiers Math. Ser., Springer, New York.
3. Bouchut, F., and M. Westdickenberg (2004), Gravity driven shallow water models for arbitrary topography Commun, Math. Sci., 2, 359-389.
4. Calder, E. S., R. S. J. Sparks, and M. C. Gardeweg (2000), Erosion, transport and segregation of pumice and lithic clasts in pyroclastic flows inferred from ignimbrite at Lascar Volcano, Chile, J. Volcanol. Geotherm. Res., 104, 201-235.
5. Da Cruz, F. (2004), Ecoulement de grains secs: Frottement et blocage, Ph.D. thesis, Ecole Natl. des Ponts et Chaussées, Marne la Vallee, France.
6. Dade, W. B., and H. E. Huppert (1998), Long runout rockfalls, Geology, 26, 803-806.
7. Daerr, A., and S. Douady (1999), Two types of avalanche behaviour in granular media, Nature, 399, 241-243.
8. Deboeuf, S. (2005), Transition et coexistence solide-liquide dans les matériaux granulaires, Ph.D. thesis, hist. de Phys. du Globe de Paris, Paris, France.
9. Deboeuf, S., O. Dauchot, L. Staron, A. Mangeney, and J. P. Vilotte (2005a), Memory of the unjamming transition during cyclic tiltings of a granular pile, Phys. Rev. E, 72, 051305.
10. Deboeuf, S., O. Dauchot, L. Staron, J. P. Vilotte, and A. Mangeney (2005b), Evolution of the contact network during tilting cycles of a granular pile under gravity, in Powders and Grains, edited by R. García-Rojo, H. J. Herrmann, and S. McNamara, pp. 105-108, A. A., Balkema, Brookfield, Vt.
11. Deboeuf, S., E. Lajeunesse, O. Dauchot, and B. Andreotti (2006), Flow rule, self-channelization and levees in unconfined granular flows Phys, Rev. E, 97, 158303.
12. Denlinger, R. P., and R. M. Iverson (2001), Flow of variably fluidized granular masses across three-dimensional terrain: 2. Numerical predictions and experimental tests, J. Geophys. Res., 106, 553-566.
13. Denlinger, R. P., and R. M. Iverson (2004), Granular avalanches across irregular three-dimensional terrain: 1. Theory and computation, J. Geophys. Res., 109, F01014, doi:10.1029/2003JF000085.
14. Douady, S., B. Andreotti, and A. Daerr (1999), On granular surface flow equations, Eur. Phys. J. B, 11, 131-142.
15. Ertas, D., G. S. Grest, T. C. Halsey, D. Levine, and L. Silbert (2001), Gravity-driven dense granular flows, Europhys. Lett., 56, 214-220.
16. Félix, G., and N. Thomas (2004), Relation between dry granular flow regimes and morphology of the deposits: Formation of levées in pyroclastic deposits, Earth Planet. Sci. Lett., 221, 197-231.
17. Forterre, Y., and O. Pouliquen (2003), Long-surface-wave instability in dense granular flows, J. Fluid Mech., 486, 21-50.
18. Gray, J. M. N. T., M. Wieland, and K. Hurter (1999), Gravity driven free surface flow of granular avalanches over complex basal topography, Proc. R. Soc. London, Ser. A, 455, 1841-1874.
19. Hurter, K., and T. Koch (1991), Motion of a granular avalanche in an exponentially curved chute: Experiments and theoretical predictions, Philos. Trans. R. Soc. London, Ser. A, 334, 93-138.
20. Hutter, K., T. Koch, C. Pluss, and S. B. Savage (1995), The dynamics of avalanches of granular materials from initiation to run out. part II, Experiments, Acta Mech., 109, 127-165.
21. Iverson, R. M., and R. P. Denlinger (2001), Flow of variably fluidized granular masses across three-dimensional terrain: 1. Coulomb mixture theory, J. Geophys. Res., 106, 537-552.
22. Iverson, R. M., and J. Vallance (2001), New views of granular mass flows, Geology, 29, 115-118.
23. Iverson, R. M., M. Logan, and R. P. Denlinger (2004), Granular avalanches across irregular three-dimensional terrain: 2. Experimental tests, J. Geophys. Res., 109, F01015, doi:10.1029/2003JF000084.
24. Jop, P., Y. Forterre, and O. Pouliquen (2005), Crucial role of sidewalls in granular surface flows: Consequences for the theology, J. Fluid Mech., 541, 167-192.
25. Kelfoun, K., and T. H. Druitt (2005), Numerical modeling of the emplacement of Socompa rock avalanche, Chile, J. Geophys. Res., 110, B12202, doi:10.1029/2005JB003758.
26. Klaucke, I., D. G. Masson, N. H. Kenyon, and J. V. Gardner (2004), Sedimentary processes on the lower Monterey Fan Channel and channel-mouth lobe, Mar. Geol., 206, 181-198.
27. Lucas, A., and A. Mangeney (2007), Mobility and topographic effects for large Valles Marineris landslides on Mars, Geophys. Res. Lett., doi:10.1029/2007GL029835, in press.
28. Malin, M. C., and K. S. Edgett (2000), Evidence for recent groundwater seepage and surface runoff on Mars, Science, 228, 2330-2335.
29. Mangeney-Castelnau, A., J.-P. Vilotte, M. O. Bristeau, B. Perthame, F. Bouchut, C. Simeoni, and S. Yerneni (2003), Numerical modeling of avalanches based on Saint Venant equations using a kinetic scheme, J. Geophys. Res., 108(B11), 2527, doi:10.1029/2002JB002024.
30. Mangeney-Castelnau, A., F. Bouchut, J. P. Vilotte, E. Lajeunesse, A. Aubertin, and M. Pirulli (2005), On the use of Saint Venant equations to simulate the spreading of a granular mass, J. Geophys. Res., 110, B09103, doi:10.1029/2004JB003161.
31. Mangold, N., F. Costard, and F. Forget (2003), Debris flows over sand dunes on Mars: Evidence for liquid water, J. Geophys. Res., 108(E4), 5027, doi:10.1029/2002JE001958.
32. McDonald, R. R., and R. S. Anderson (1996), Constraints on eolian grain flow dynamics through laboratory experiments on sand slope, J. Sediment. Res., 66, 642-653.
33. McDougall, S., and O. Hungr (2004), A model for the analysis of rapid landslide runout motion across three-dimensional terrain, Can. Geotech. J., 41, 1084-1097.
34. Naaim, M., S. Vial, and R. Couture (1997), Saint Venant approach for rock avalanches modelling, paper presented at the Saint Venant Symposium, Paris, 28-29 Aug.
35. Naim, I. A., and S. Self (1978), Explosive eruptions and pyroclastic avalanches from Ngauruhoe in February 1975, J. Volcanol. Geotherm. Res., 3, 39-60.
36. Pastor, M., J. A. Fernández Merodo, M. Quecedo, M. I. Herreros, E. Gonzáles, and P. Mira (2002), Modelling of debris flows and flow slides, Numer. Modell. Geomech., 6, 1213-1232.
37. Pirulli, M., A. Mangeney, M. O. Bristeau, and C. Scavia (2007), The effect of the Earth pressure coefficients on the runout of granular materials, Environm. Modell. Software, in press.
38. Pitman, E. B., C. C. Nichita, A. K. Patra, A. C. Bauer, M. Sheridan, and M. Bursik (2003), Computing granular avalanches and landslides, Phys. Fluids, 15, 3638-3646.
39. Pouliquen, O. (1999), Scaling laws in granular flows down rough inclined planes, Phys. Fluids, 11, 542-548.
40. Pouliquen, O., and Y. Forterre (2002), Friction law for dense granular flows: Application to the motion of a mass down a rough inclined plane, J. Fluid Mech., 453, 133-151.
41. Quareni, F., A. Tallarico, and M. Dragoni (2004), Modeling of the steady-state temperature field in lava flow levés, J. Volcanol. Geotherm. Res., 132, 241-251.
42. Roberts, A. W. (1965), An investigation of the gravity flow of noncohesive materials through discharge chutes, Trans. ASME, 91, 373-381.
43. Rodriguez-Elizarraaras, S., C. Siebe, J. C. Komorowski, J. M. Expindola, and R. Saucedo (1991), Field observations of pristine block and ash flow deposits emplaced April 16-17, 1991 at Volcan de Colimà, México, J. Volcanol. Geotherm. Res., 48, 399-412.
44. Rowley, P. D., M. A. Kuntz, and N. S. MacLeod (1991), Pyroclastic-flow deposits, U.S. Geol. Surv. Prof. Pap., 1250, 489-512.
45. Sakimoto, S. E. H., and T. K. P. Gregg (2001), Channeled flow: Analytic solutions, laboratory experiments, and applications to lava flows, J. Geophys. Res., 106, 8629-8644.
46. Saucedo, R., J. L. Macas, M. I. Bursik, J. C. Mora, J. C. Gavilanes, and A. Cortes (2002), Emplacement of pyroclastic flows during the 1998-1999 eruption of Volcan de Colima, México, J. Volcanol. Geotherm. Res., 117, 129-153.
47. Savage, S. B. (1979), Gravity flow of cohesionless granular materials in chutes and channels, J. Fluid Mech., 92, 53-96.
48. Savage, S. B., and K. Hutter (1989), The motion of a finite mass of granular material down a rough incline, J. Fluid Mech., 199, 177-215.
49. Sheridan, M. F., A. J. Stinton, A. Patra, E. B. Pitman, A. Bauer, and X. Nichita (2007), Evaluating TITAN2D mass-flow model using the 1963 Little Tahoma Peak avalanches, Mount Rainier, Washington, J. Volcanol. Geotherm. Res., in press.
50. Sokolovski, V. (1965), Statics of Granular Media, Elsevier, New York.
51. Taberlet, N., P. Richard, A. Vallance, W. Losert, J. M. Pasini, J. T. Jenkins, and R. Delannay (2003), Superstable granular heap in a thin channel, Phys. Rev. Left., 91, 264301.
52. Tai, Y. C., S. Noelle, N. Gray, and K. Hutter (2002), Shock capturing and front tracking methods for granular avalanches, J. Comput. Phys., 175, 269-301.
53. Treiman, A. H., and M. Y. Louge (2004), Martian slope streaks and Gullies: Origins as dry granular flows, Lunar Planet. Sci., (XXXV), abstract 1323.
54. Ui, T., N. Matsuwo, M. Sumita, and A. Fujinawa (1999), Generation of block and ash flows during the 1990-1995 eruption of Unzen volcano, Japan, J. Volcanol. Geotherm. Res., 89, 123-137.
55. Wilson, L., and J. W. Head (1981), Morphology and rheology of pyroclastic flows and their deposits, and guidelines for future observations, U.S. Geol. Surv. Bull., 1250, 513-524.
56. Yamamoto, T., S. Takarada, and S. Suto (1993), Pyroclastic flows from the 1991 eruption of Unzen volcano, Japan, Bull. Volcanol., 55, 166-175.