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A two-fluid model for avalanche and debris flows.

E Bruce Pitman1, Long Le

  • 1Department of Mathematics, 88 Clemens Hall, University at Buffalo, NY 14260, USA. pitman@buffalo.edu

Philosophical Transactions. Series A, Mathematical, Physical, and Engineering Sciences
|July 14, 2005
PubMed
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This study presents a depth-averaged model for geophysical mass flows, like landslides and avalanches. The model simplifies complex, multi-phase flow dynamics for better computational analysis.

Area of Science:

  • Geophysics
  • Fluid Dynamics
  • Computational Mechanics

Background:

  • Geophysical mass flows, including debris flows, avalanches, and landslides, involve large volumes (10^6–10^10 m^3) of mixed soil, rocks, and fluid.
  • The scale and complex rheology of these flows pose significant modeling and computational challenges.

Purpose of the Study:

  • To develop a simplified, tractable model for geophysical mass flows.
  • To derive a depth-averaged 'thin layer' model from a two-phase flow system.

Main Methods:

  • Utilized a two-phase (or two-fluid) system of equations from engineering research.
  • Applied phenomenological modeling and depth averaging techniques.
  • Derived a hyperbolic system of equations describing the motion of solid and fluid phases.

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Main Results:

  • Developed a depth-averaged 'thin layer' model for simulating geophysical mass flows.
  • The model yields a tractable hyperbolic system for analyzing the two-phase flow.
  • A reduced model is achievable when fluid inertia is negligible.

Conclusions:

  • The proposed depth-averaged model offers a computationally feasible approach to simulating large-scale geophysical mass flows.
  • This modeling framework simplifies the complex dynamics of granular-fluid mixtures.
  • The derived hyperbolic system facilitates further analysis and potential numerical solutions.