Numerical Modeling of Mudflows
Publication: Journal of Hydraulic Engineering
Volume 123, Issue 7
Abstract
To predict mudflow dynamics a numerical model based on shallow-water equations is developed. Previous work has shown that mudflow behavior can be well represented by a Herschel-Bulkley model. In a laminar regime, generally observed in practice, a wall friction force expression has been theoretically deduced for steady uniform flows. For unsteady flows the wall friction force is assumed to be equal to the resistance of a steady uniform flow with the same depth and mean velocity. The numerical model parameters, directly deduced from Herschel-Bulkley model, are determined independently by rheological measurements. Because of the lack of precise field data, experimental results obtained on a physical model are used in order to validate the numerical model. The main features of the experimental transient flows carried out in a laboratory flume are, for some identified conditions, in fairly good agreement with numerical model predictions, without any additional parameter fitting.
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References
1.
Arattano, M., and Savage, W. Z. (1994). “Modelling debris flows as kinematic waves.”Bull. Int. Assn. Engrg. Geol., Paris, France, 49(Apr.), 3–13.
2.
Berger, R. C. (1994). “Strengths and weaknesses of shallow water equations in steep open channel flow.”Proc., 1994 Conf. on Hydr. Engrg., G. V. Cotroneo and R. R. Rumer, eds., 1257–1261.
3.
Chen, C. L. (1987). “Comprehensive review of debris flow modeling concepts in Japan.”Geological Soc. of Am. Rev. in Engrg. Geol., Vol. VII, 13–29.
4.
Costa, J. E., and Williams, G. P. (1984). “Debris-flow dynamics (film).”Open File Rep. 84/606, U.S. Geological Survey, Water Resour. Div., Washington, D.C.
5.
Coussot, P. (1992). “Rhéologie des laves torrentielles,” PhD thesis, Institut National Polytechnique de Grenoble, Grenoble, France.
6.
Coussot, P.(1994). “Steady, laminar, flow of concentrated mud suspensions in open channel.”J. Hydr. Res., 32(4), 535–559.
7.
Coussot, P., and Meunier, M. (1994). “Mud flow dynamics.”Proc., IAHR Int. Workshop on Floods and Inundations Related to Large Earth Movements, IAHR, Univ. of Trent, Trent, Italy.
8.
Coussot, P., and Piau, J.-M.(1994). “On the behavior of fine mud suspensions.”Rheologica Acta, 33, 175–184.
9.
Cunge, J. A., Holly, F. M., and Verwey, A. (1980). Practical aspects of computational river hydraulics. Pitman, London, England.
10.
Davies, T. R. (1993). “Large and small debris flows—occurrence and behavior.”Proc., Int. Workshop on Debris Flows, IAHR, Kagoshima, Japan, 11–22.
11.
Fletcher, C. A. J. (1988). Computational techniques for fluid flow dynamics 2. Springer-Verlag KG, Berlin, Germany.
12.
Fraccarollo, L., and Toro, E. F.(1995). “Experimental and numerical assessment of the shallow water model for two-dimensional dam-break type problems.”J. Hydr. Res., 33(6), 843–864.
13.
Harten, A., Lax, P. D., and Van Leer, B.(1983). “On upstream differencing and Godunov-type schemes for hyperbolic conservation laws.”SIAM Rev., 25, 35–61.
14.
Hunt, B.(1994). “Newtonian fluid mechanics treatment of debris flows and avalanches.”J. Hydr. Engrg., ASCE, 120(12), 1350–1363.
15.
Johnson, A. M. (1970). Physical processes in geology. W. H. Freeman, San Francisco, Calif.
16.
Johnson, A. M., and Rodine, J. R. (1984). “Debris flows.”Slope instability, D. Brunsden and D. B. Prior, eds., chapter 8, John Wiley & Sons, New York, N.Y.
17.
Laigle, D., and Coussot, P.(1994a). “Modélisation numérique des écoulements de laves torrentielles.”La Houille Blanche, 3, 50–56.
18.
Laigle, D., and Coussot, P. (1994b). “Numerical modeling of debris flow dynamics.”Proc., IAHR Int. Workshop on Floods and Inundations Related to Large Earth Movements, IAHR, Univ. of Trent, Trent, Italy.
19.
Liu, F. K., and Mei, C. C.(1989). “Slow spreading of a sheet of Bingham fluid on an inclined plane.”J. Fluid Mech., 207, 505–529.
20.
Major, J. J., and Pierson, T. C.(1992). “Debris flow rheology: experimental analysis of fine-grained slurries.”Water Resour. Res., 28(3), 841–857.
21.
Martinet, G. (1992). “Modélisation tridimensionnelle des laves torrentielles—application à un cas réel: utilisation du code bidimensionnel LAVE1D.”Colloque interpraevent 1992, Vol. 2, Bern, Switzerland, 331–342.
22.
Meunier, M. (1991). “Eléments d'hydraulique torrentielle.”Cemagref Collection Etudes, série Montagne, 1.
23.
Mizuyama, T., and Yazawa, T.(1987). “Computer simulation of debris flow depositional processes.”Erosion and Sedimentation in the Pacific Rim, Proc., Corvallis, Oregon, Int. Assn. of Hydrological Sci., 165, 179–190.
24.
O'Brien, J. S., and Julien, P. Y. (1988). “Laboratory analysis of mudflow properties.”J. Hydr. Engrg., ASCE, 114(8).
25.
O'Brien, J. S., Julien, P. Y., and Fullerton, W. T.(1993). “Two-dimensional water flood and mudflow simulation.”J. Hydr. Engrg., 119(2), 244–261.
26.
Roe, P. L.(1981). “Approximate Riemann solvers, parameter vectors, and difference schemes.”J. Computational Phys., 43, 357–372.
27.
Stoker, J. J. (1957). Water waves. Interscience, New York, N.Y.
28.
Takahashi, T.(1980). “Debris flow on prismatic open channel.”J. Hydr. Div., ASCE, 106(3), 381–396.
29.
Takahashi, T., Nakagawa, H., and Kuang, S.(1987). “Estimation of debris flow hydrograph on varied slope bed.”Erosion and Sedimentation in the Pacific Rim, Proc., Corvallis, Oregon, Int. Assn. of Hydrological Sci., 165, 167–177.
30.
Valla, F., Perinet, F., and Van Effenterre, C. (1981). “La Ravoire de Bourg-Saint-Maurice, crue d'avril 1981 (film).”Cemagref, Grenoble, France.
31.
Vila, J. P. (1986a). “Sur la théorie et l'approximation numérique de problèmes hyperboliques non linéaires, applications aux équations de Saint Venant et à la modélisation des avalanches de neige dense,” thèse de Doctorat de l'Université Paris VI, Paris, France.
32.
Vila, J. P.(1986b). “Simplified Godunov schemes for 2 × 2 systems of conservation laws.”SIAM J. Numer. Anal., 23(6), 1173–1192.
33.
Vila, J. P. (1987). “Schémas numériques en hydraulique des écoulements avec discontinuités.”Proc., IAHR Congr. on Topics in Hydr. Modelling, Tech. Session B, J. A. Cunge and A. Ackers, eds., Lausanne, Switzerland, 120–125.
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Published In
Journal of Hydraulic Engineering
Volume 123 • Issue 7 • July 1997
Pages: 617 - 623
Copyright
Copyright © 1997 American Society of Civil Engineers.
History
Published online: Jul 1, 1997
Published in print: Jul 1997
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