Prospects of Debris Flow Studies from Constitutive Relations to Governing Equations
NEWJEC Inc., Honjo Higashi 2-3-20, Kita-ku, Osaka 531-0074, Japan
The author thinks keys to debris flow studies lie in 1) sediment sorting in debris flow body, 2) phase shifting to or from fluid to solid, 3) difference between sediment concentration and flux sediment concentration, 4) constitutive relations and 5) governing equations employed in numerical simulation. In discussing 3)-5), the author stresses that 1) Eq. (1) predicts the spatial average sediment concentration of the flow body well from debris flow to bed load, and thus it should be prized, 2) researchers must be careful for the difference between sediment concentration and flux sediment concentration and for different flow structures over erodible and rigid beds, and realizes that 3) many problems associated with governing equations such as bed shear stress, erosion and deposition rates and correction parameters for sediment transport still remain to be solved.
-  C. L. Chen, “General Solutions for Viscoplastic Debris Flow,” J. of Hydraulic Eng., Vol.114, No.3, pp. 259-282, 1988.
-  S. Egashira, K. Ashida, H. Yajima, and J. Takahama, “Constitutive Equations of Debris Flow, Annuals of the Disaster Prevention Research Institute,” Kyoto Univ., No.32, B-2, pp. 487-501, 1989 (in Japanese).
-  S. Egashira and K. Ashida, “Unified View of the Mechanics of Debris Flow and Bed Load,” Advances inMicromechanics of Granular Materials (Shen H. H. etal. Eds), Elsevier, pp. 391-400, 1992.
-  S. Egashira, “Mechanism of Sediment Erosion and Deposition of Debris Flow,” J. Japan Society of Erosion Control Eng., Vol.46, No.1 (186), pp. 45-49, 1993 (in Japanese).
-  S. Egashira, K. Miyamoto, and T. Itoh, “Bed-Load Rate in View of Two Phase Flow Dynamics,” Annual J. of Hydraulic Engineering, JSCE, Vol.41, pp. 789-794, 1997a (in Japanese).
-  S. Egashira, K. Miyamoto, and T. Ito, “Constitutive Equations of Debris-Flow and Their Applicability,” Proc. of 1st International Conference on Debris-flow Hazards Mitigation, C. L. Chen (Eds.), ASCE: NewYork; pp. 340-349, 1997b.
-  S. Egashira, N. Honda, and T. Itoh, “Experimental Study on the Entrainment of Bed Material into Debris Flow,” Phys. Chem. Earth (C), Vol.26, No.9, pp. 645-650, 2001.
-  S. Egashira, T. Itoh, and K. Miyamoto, “Debris Flow Simulations for San Julian Torrents in Venezuela,” Proc. of the 3rd IAHR Symposium on River, Coastal and Estuarine Morphodynamics RCEM 2003, pp. 976-986.
-  S. Egashira and T. Itoh, “Paradoxiacal Discussions on Sediment Transport Formulas,” River, Coastal and Estuarine Morphodynamics: RCEM. Parker and Garcia (Eds.), Taylor and Francis Group, London, pp. 33-38, 2005.
-  S. Egashira, “Review of Research Related to Sediment Disaster Mitigation,” J. of Disaster Research, Vol.2, No.1, pp. 11-18, 2007.
-  T. Itoh and S. Egashira, “Importance of Correction Factor Associated with Sediment Concentration and Velocity Distribution in Debris Flow Simulations,” J. of Hydro-science and Hydraulic Engineering, JSCE, Vol.23, No.2, pp. 1-12, 2005.
-  R. M. Iverson and R. P. Denlinger, “Flow of Variably Fluidized Granular Masses Across Three-Dimensional Terrain – 1. Coulomb Mixture Theory,” J. Geophysical Research, 106, No.B1, pp. 537-552, 2001.
-  P. Y. Julien and Y. Lan, “Rheology of Hyper-Concentrations,” J. of Hydraulic Eng., Vol.117, No.3, pp. 346-353, 1991.
-  K. Kawaike, K. Inoue, K. Toda, and T. Nakai, “Effects of Sediment Yield on Inundation Flow in a Hillside City,” J. of Hydroscience and Hydraulic Engineering, Vol.20, No.1, pp. 151-166, 2002.
-  K. Miyamoto and T. Itoh, “Numerical Simulation Method of Debris Flow Introducing the Erosion Rate Equation,” J. of the Japan Society of Erosion Control Engineering (JSECE), Vol.55, No.2, pp. 24-35, 2002 (in Japanese).
-  K. Miyamoto and Y. Tsurumi, “Mechanics of Debris Flow Over a Rigid Bed,” J. of Disaster Research, Vol.5, No.3, pp. 274-279, 2010.
-  K. Miyamoto, “Numerical Simulation of Landslide Movement and Unzen-Mayuyama Disdaster in 1792, Japan,” J. of Disaster Research, Vol.5, No.3, pp. 280-287, 2010.
-  H. Nakagawa, T. Takahashi, Y. Satofuka, and K. Kawaike, “Numerical Simulation of Sediment Disasters Caused by Heavy Rainfall in the Camuri Grande Basin, Venezuela 1999,” Proc. of 3rd Int. Conf. Debris-Flow Hazards Mitigation: Mechanics, Prediction and Assessment, Rickenmann & Chen (Eds.), Rotterdam, Millpress, pp. 671-682, 2003.
-  H. Nakagawa, T. Takahashi, T. Sawada, and A. Ishibashi, “Estimation of a Debris Flow Hydrograph and Analysis of Evacuation Action Using GIS,” J. of Hydroscience and Hydraulic Engineering, Vol.17, No.1, pp. 73-85, 1999.
-  O’Brien and P. Y. Julien, “Laboratory Analysis of Mudflow Properties,” J. of Hydraulic Eng., Vol.114, No.8, pp. 877-887, 1988.
-  S. Okuda, H. Suwa, K. Okunishi, K. Yokoyama, and M. Nakano, “Observation of theMotion of Debris Flow and its Geomorphological Effects,” Zeitschrift fur Geomorphology, Suppl.-Bd.35, pp. 142-163, 1980.
-  R. Osti, S. Egashira, and T. Itoh, “Prediction of 1999- San Julian Debris Flows Based on Dependent and Independent Occurrences,” Annual J. of Hydraulic Engineering, JSCE, Vol.48, pp. 913-918, 2004.
-  Y. Satofuka and T. Mizuyama, “Numerical Simulation on a Debris Flow in a Mountainous River with a Sabo Dam,” J. of the Japan Society of Erosion Control Engineering (JSECE), Vol.58, No.1, pp. 14-19, 2005 (in Japanese).
-  Y. Satofuka, T. Mori, T. Mizuyama, K. Ogawa, and K. Yoshino, “Prediction of Floods Caused by Landslide Dam Collapse,” J. of Disaster Research, Vol.5, No.3, pp. 288-295, 2010.
-  S. B. Savage and K. Hutter, “The motion of a Finite Mass of Granular Material Down a Rough Incline,” J. of Fluid Mech., Vol.199, pp. 177-215, 1989.
-  S. B. Savage and K. Hutter, “The Dynamics of Avalanches of Granular Materials from Initiation to Run-Out. Part 1: Analysis,” Acta Mechanica, 86, pp. 201-223, 1991.
-  H. Suwa, S. Okuda, and K. Yokoyama, “Observation System on Rocky Mudflow,” Bull. Disas. Prev. Res. Inst. Kyoto Univ., No.23, pp. 59-73, 1973 (in Japanese).
-  J. Takahama, Y. Fujita, and Y. Kondo, “Analysis Method of Transitional Flow from Debris Flow to Sediment Sheet Flow,” Annual J. of Hydraulics Engineering, JSCE, pp. 683-686, 2000 (in Japanese).
-  T. Takahashi, “Debris Flow on Prismatic Open Channel,” J. of Hydraulic Div., Vol.106, No.HY3, pp. 381-396, 1980.
-  T. Takahashi, “Debris Flow, IAHR Monograph Series,” Rotterdam: Balkema, 1991.
-  T. Takahashi and S. F. Kuang, “Formation of Debris Flow on Varied Slope Bed,” Annuals, DPRI, Kyoto University, No.29, B-2, pp. 343-359, 1986 (in Japanese).
-  T. Takahashi, H. Nakagawa, and Y. Satofuka, “Estimation of Debris Flow Hydrograph in the Camuri Grande River Basin,” Research Report on Natural Didaster, DPRI, Kyoto University, Kyoto, pp. 41-50, 2001.
-  T. Tsubaki, H. Hashimoto, and T. Suetsugi, “Grain Stress and Flow Properties of Debris Flow,” Proc. JSCE, No.317, pp. 79-91, 1982 (in Japanese).
-  K. Yamano (Miyamoto) and A. Daido, “The Mechanism of Granular Flow of Mixed Diameter Composed Two Diameters,” J. JSCE, No.357/II-3, pp. 25-34, 1985 (in Japanese).
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