The DOI matches its Crossref record; 11 of the 11 references it cites were found in a registry or an index.
A two-fluid model for avalanche and debris flows
Abstract
Geophysical mass flows—debris flows, avalanches, landslides—can contain O (10 6 –10 10 ) m 3 or more of material, often a mixture of soil and rocks with a significant quantity of interstitial fluid. These flows can be tens of meters in depth and hundreds of meters in length. The range of scales and the rheology of this mixture presents significant modelling and computational challenges. This paper describes a depth-averaged ‘thin layer’ model of geophysical mass flows containing a mixture of solid material and fluid. The model is derived from a ‘two-phase’ or ‘two-fluid’ system of equations commonly used in engineering research. Phenomenological modelling and depth averaging combine to yield a tractable set of equations, a hyperbolic system that describes the motion of the two constituent phases. If the fluid inertia is small, a reduced model system that is easier to solve may be derived.
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Cites
Iverson, R. M. (1997) · Reviews of Geophysics · doi:10.1029/97rg00426 · Cited by 3,092
Fluid Mechanical Description of Fluidized Beds. Equations of Motion
Anderson, T. B., & Jackson, R. (1967) · Industrial & Engineering Chemistry Fundamentals · doi:10.1021/i160024a007 · Cited by 2,066
The motion of a finite mass of granular material down a rough incline
Savage, S. B., & Hutter, K. (1989) · Journal of Fluid Mechanics · doi:10.1017/s0022112089000340 · Cited by 1,776
Mathematical Modeling of Two-Phase Flow
Drew, D. A. (1983) · Annual Review of Fluid Mechanics · doi:10.1146/annurev.fl.15.010183.001401 · Cited by 1,468
A theory for the rapid flow of identical, smooth, nearly elastic, spherical particles
Jenkins, J. T., & Savage, S. B. (1983) · Journal of Fluid Mechanics · doi:10.1017/s0022112083001044 · Cited by 1,387
Iverson, R. M., & Denlinger, R. P. (2001) · Journal of Geophysical Research: Solid Earth · doi:10.1029/2000jb900329 · Cited by 918
The mobility of long-runout landslides
Legros, F. (2002) · Engineering Geology · doi:10.1016/s0013-7952(01)00090-4 · Cited by 861
II. On the stability of loose earth
Rankine, W. J. M. (1857) · Philosophical Transactions of the Royal Society of London · doi:10.1098/rstl.1857.0003 · Cited by 787
Denlinger, R. P., & Iverson, R. M. (2001) · Journal of Geophysical Research: Solid Earth · doi:10.1029/2000jb900330 · Cited by 430
Sheridan, M. F., Stinton, A. J., Patra, A., Pitman, E. B., Bauer, A., & Nichita, C. C. (2005) · Journal of Volcanology and Geothermal Research · doi:10.1016/j.jvolgeores.2004.06.011 · Cited by 160
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Metadata
- Authors
- Pitman, E. B., & Le, L.
- Venue
- Philosophical Transactions of the Royal Society A: Mathematical, Physical and Engineering Sciences
- Publisher
- The Royal Society
- Published
- 2005-07
- Volume
- 363
- Issue
- 1832
- Pages
- 1573-1601
- ISSN
- 1364-503X (ISSN-L)
- 1471-2962
- OpenAlex
- W2139170886
- Cited by
- 462
- References
- 11
- FWCI
- 28.03
- Type
- journal article
- Language
- en
- Open access
- closed
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