Modelling debris flows down general channels
By Shiva P. Pudasaini, Yongqi Wang, Kolumban Hutter. 2005
206 citations recorded by the source corpus.
Abstract. This paper is an extension of the single-phase cohesionless dry granular avalanche model over curved and twisted channels proposed by Pudasaini and Hutter (2003). It is a generalisation of the Savage and Hutter (1989, 1991) equations based on simple channel topography to a two-phase fluid-solid mixture of debris material. Important terms emerging from the correct treatment of the kinematic and dynamic boundary condition, and the variable basal topography are systematically taken into account. For vanishing fluid contribution and torsion-free channel topography our new model equations exactly degenerate to the previous Savage-Hutter model equations while such a degeneration was not possible by the Iverson and Denlinger (2001) model, which, in fact, also aimed to extend the Savage and Hutter model. The model equations of this paper have been rigorously derived; they include the effects of the curvature and torsion of the topography, generally for arbitrarily curved and twisted channels of variable channel width. The equations are put into a standard conservative form of partial differential equations. From these one can easily infer the importance and influence of the pore-fluid-pressure distribution in debris flow dynamics. The solid-phase is modelled by applying a Coulomb dry friction law whereas the fluid phase is assumed to be an incompressible Newtonian fluid. Input parameters of the equations are the internal and bed friction angles of the solid particles, the viscosity and volume fraction of the fluid, the total mixture density and the pore pressure distribution of the fluid at the bed. Given the bed topography and initial geometry and the initial velocity profile of the debris mixture, the model equations are able to describe the dynamics of the depth profile and bed parallel depth-averaged velocity distribution from the initial position to the final deposit. A shock capturing, total variation diminishing numerical scheme is implemented to solve the highly non-linear equations. Simulation results present the combined effects of curvature, torsion and pore pressure on the dynamics of the flow over a general basal topography. These simulation results reveal new physical insight of debris flows over such non-trivial topography. Model equations are applied to laboratory avalanche and debris-flow-flume tests. Very good agreement between the theory and experiments is established.
Subfields: Atmospheric Science, Ecology, Management, Monitoring, Policy and Law
View Paper: https://www.semanticscholar.org/paper/17c098996eddaa573dabaf2bbc870cb5fade2ac7
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Citations in the corpus
- A general two-phase debris flow model (2012, methodology): “Although fluid pressure [Iverson, 1997; Iverson and Denlinger, 2001; Pitman and Le, 2005; Pudasaini et al., 2005], viscous effects [Iverson, 1997; Iverson and Denlinger, 2001; Pudasaini et al.”
- The hypermobility of huge landslides and avalanches (2013, methodology): “…the initiation to the final deposition (Denlinger and Iverson, 2001; Pitman et al., 2003; Pudasaini and Hutter, 2003; Pudasaini and Kroener, 2008; Pudasaini et al., 2005, 2008; Pudasaini and Domnik, 2009; Ancey, 2005; Pitman and Le, 2005; Jop et al., 2006; Mangeney et al., 2007; Pudasaini and…”
- r.avaflow v1, an advanced open-source computational framework for the propagation and interaction of two-phase mass flows (2016, unknown): “Whilst conceptual models (Lied and Bakkehøi, 1980; Gamma, 2000; Wichmann and Becht, Savage and Iverson (2003), Pitman and Le (2005), Pudasaini et al. (2005), Pastor et al. (2009), and Hutter and Schneider (2010a, b .”