Articles | Volume 9, issue 3
https://doi.org/10.5194/esurf-9-577-2021
© Author(s) 2021. This work is distributed under
the Creative Commons Attribution 4.0 License.
the Creative Commons Attribution 4.0 License.
https://doi.org/10.5194/esurf-9-577-2021
© Author(s) 2021. This work is distributed under
the Creative Commons Attribution 4.0 License.
the Creative Commons Attribution 4.0 License.
Research article
| 
16 Jun 2021
Research article |
| 16 Jun 2021
| 16 Jun 2021
Rarefied particle motions on hillslopes – Part 2: Analysis
David Jon Furbish
CORRESPONDING AUTHOR
Department of Earth and Environmental Sciences, Vanderbilt University, Nashville, Tennessee, USA
Sarah G. W. Williams
Department of Earth and Environmental Sciences, Vanderbilt University, Nashville, Tennessee, USA
Danica L. Roth
Department of Earth Sciences, University of Oregon, Eugene, Oregon, USA
currently at: Department of Geology and Geological Engineering, Colorado School of Mines, Golden, Colorado, USA
Tyler H. Doane
Department of Earth and Environmental Sciences, Vanderbilt University, Nashville, Tennessee, USA
currently at: Department of Earth and Atmospheric Sciences, Indiana University, Bloomington, Indiana, USA
Joshua J. Roering
Department of Earth Sciences, University of Oregon, Eugene, Oregon, USA
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Particle motions and travel distances prior to deposition on hillslope surfaces depend on a balance of gravitational and frictional forces. We elaborate how particle energy is partitioned and dissipated during travel using measurements of particle travel distances supplemented with high-speed imaging of drop–impact–rebound experiments. Results show that particle shape plays a dominant role in how energy is partitioned during impact with a surface and how far particles travel in two dimensions.
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Sediment particles skitter down steep hillslopes on Earth and Mars. Particles gain speed in going downhill but are slowed down and sometimes stop due to collisions with the rough surface. The likelihood of stopping depends on the energetics of speeding up (heating) versus slowing down (cooling). Statistical physics predicts that particle travel distances are described by a generalized Pareto distribution whose form varies with the Kirkby number – the ratio of heating to cooling.
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Sediment particles skitter down steep hillslopes on Earth and Mars. Particles gain speed in going downhill but are slowed down and sometimes stop due to collisions with the rough surface. The likelihood of stopping depends on the energetics of speeding up (heating) versus slowing down (cooling). Statistical physics predicts that particle travel distances are described by a generalized Pareto distribution whose form varies with the Kirkby number – the ratio of heating to cooling.
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Earth Surf. Dynam., 9, 615–628, https://doi.org/10.5194/esurf-9-615-2021, https://doi.org/10.5194/esurf-9-615-2021, 2021
Short summary
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The generalized Pareto distribution of particle travel distances on steep hillslopes, as described in two companion papers (Furbish et al., 2021a, 2021b), is a maximum entropy distribution. This simply represents the most probable way that a great number of particles become distributed into distance states, subject to a fixed total energetic cost due to frictional effects of particle–surface collisions. The maximum entropy criterion is equivalent to a formal application of Occam's razor.
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Preprint withdrawn
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Short summary
Sediment particles are transported along the bottom of rivers during floods. Descriptions of the transport process are commonly restricted to the strength of the water flow. In our research we use mathematical theory and data from laboratory experiments to explore whether sediment particles colliding with the river bed can help explain our observations of transport. We learn that particle collisions are likely an important component of the transport process and we offer thoughts for future work.
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Short summary
The generalized Pareto distribution of particle travel distances on steep hillslopes, as described in a companion paper (Furbish et al., 2021a), is entirely consistent with measurements of travel distances obtained from laboratory and field-based experiments, supplemented with high-speed imaging and audio recordings that highlight the effects of bumpety-bump particle motions. Particle size and shape, in concert with surface roughness, strongly influence particle energetics and deposition.
The generalized Pareto distribution of particle travel distances on steep hillslopes, as...
