“…Many researchers have developed rheological models for mudflows and debris flows. Theses models can be classified as: Newtonian models (Johnson, 1970;Trunk et al, 1986;Hunt, 1994;Hungr, 1995;Rickenmann, 1999), Bingham model (Johnson, 1970;O'Brien and Julien, 1988;Liu and Mei, 1989;Jan, 1997;Whipple, 1997;Fraccarollo and Papa, 2000;Pastor et al, 2004), Herschel-Bulkley model Garc铆a, 1997, 1998;Imran et al, 2001;Rema卯tre et al, 2005;Rickenmann et al, 2006), generalized viscoplastic model (Chen, 1988), dilatant fluid models (Bagnold, 1954;Takahashi, 1978Takahashi, , 1991Mainali and Rajaratnam, 1994), dispersive or turbulent stress models (Arai and Takahashi, 1986;O'Brien and Julien, 1988;Hunt, 1994), biviscous modified Bingham model (Dent and Lang, 1983), and frictional models (Iverson, 1997;Chen and Lee, 1999;Arattano and Franzi, 2003;Pastor et al, 2004;Rickenmann et al, 2006;Naef et al, 2006). Takahashi and Tsujimoto (1984) presented a twodimensional finite difference model for debris flows based on a dilatant-fluid model coupled with coulomb flow resistance, and modified the model to include turbulence (Taka-hashi et al, 1991(Taka-hashi et al, , 1992.…”