Savage-Hutter model for avalanche dynamics in inclined channels: Analytical solutions
نویسندگان
چکیده
منابع مشابه
The Savage-Hutter avalanche model: how far can it be pushed?
The Savage-Hutter (SH) avalanche model is a depth-averaged dynamical model of a fluid-like continuum implementing the following simplifying assumptions: (i) density preserving, (ii) shallowness of the avalanche piles and small topographic curvatures, (iii) Coulomb-type sliding with bed friction angle delta and (iv) Mohr-Coulomb behaviour in the interior with internal angle of friction phi> or =...
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where h is the avalanche thickness, Q is the depth averaged downslope volume flux and x is the curvilinear downslope coordinate. The source term s on the right-hand side of (2) is composed of the downslope component of gravitational acceleration, the Coulomb sliding friction with basal angle of friction δ and gradients of the basal topography height, b, above the curvilinear coordinate system. ...
متن کاملAvalanche dynamics on a rough inclined plane.
The avalanche behavior of gravitationally forced granular layers on a rough inclined plane is investigated experimentally for different materials and for a variety of grain shapes ranging from spherical beads to highly anisotropic particles with dendritic shape. We measure the front velocity, area, and height of many avalanches and correlate the motion with the area and height. We also measure ...
متن کاملTwo scenarios for avalanche dynamics in inclined granular layers.
We report experimental measurements of avalanche behavior of thin granular layers on an inclined plane for low volume flow rate. The dynamical properties of avalanches were quantitatively and qualitatively different for smooth glass beads compared to irregular granular materials such as sand. Two scenarios for granular avalanches on an incline are identified, and a theoretical explanation for t...
متن کاملGroup Theoretic Methods and Similarity Solutions of the Savage-Hutter Equations
We consider the spatially one-dimensional time dependent system of equations, obtained by Savage and Hutter, which describes the gravity-driven free surface flow of granular avalanches. All similarity solutions of this system are found by means of group analysis. The results of the computed experiments are reduced and their physical treatment is considered.
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ژورنال
عنوان ژورنال: Journal of Geophysical Research
سال: 2010
ISSN: 0148-0227
DOI: 10.1029/2009jb006515