Abstract
We analyzed the runout potential of debris flows using a simple mathematical model based on the principle of conservation of momentum. This model is unique in that it evaluates the effect of a change in mass of a debris flow over the distance the flow travels. The model is used to examine the influence of viscous resistance alone, the paired influence of a change in mass of the flow with travel and viscous resistance, and finally, the combined effects of mass change, viscosity, friction, and slope angle on the longitudinal velocity distributions and runout distances of debris flows. Evaluations of the model with the combined influences of each of the variables indicate that a gain in mass by the flow with travel will result in longer total runout distances, and that the flow will maintain lower velocities over the distance traveled. A loss of mass with travel will result in shorter total runout distances, and the flow will maintain higher velocities over the distance traveled. Increasing slope angles allo...
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