Modeling of Entrainment in Debris Flow Analysis for Dry Granular Material
Publication: International Journal of Geomechanics
Volume 17, Issue 10
Abstract
Debris flows that entrain sediment by undermining channel beds or scouring channel banks can become exceptionally mobile and destructive. Therefore, the calculation of entrainment plays an important role in debris flow runout analysis. An entrainment model is proposed that takes into account surface erosional effects by considering progressive scouring and shear failure on the channel surface. By considering simple geometry and particle configurations, the equations for the progressive scouring are developed. In deriving the equations for the progressive-scouring mode of erosion, two types of motions are considered: rolling motion and sliding motion. Newton’s law of motion is applied to calculate the acceleration, velocity, and displacement of the particles. A probability-density function (PDF) is used in the calculation of the entrainment rate for different configurations of particle contact. Measurements from flume experiments were used for model verification. It was found that the entrainment rate can be calculated using a normal-distribution PDF. The proposed entrainment model has been shown to be effective in calculating debris flow entrainment.
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Acknowledgments
This study was sponsored by the Natural Science and Engineering of Canada Discovery grant. The authors would like to thank reviewers and editors for their comments and suggestions, which made the presentation more clear.
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Published In
International Journal of Geomechanics
Volume 17 • Issue 10 • October 2017
Copyright
© 2017 American Society of Civil Engineers.
History
Received: Dec 5, 2016
Accepted: Apr 28, 2017
Published online: Aug 1, 2017
Published in print: Oct 1, 2017
Discussion open until: Jan 1, 2018
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