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Titel |
Bayesian stochastic modeling of a spherical rock bouncing on a coarse soil |
VerfasserIn |
F. Bourrier, N. Eckert, F. Nicot, F. Darve |
Medientyp |
Artikel
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Sprache |
Englisch
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ISSN |
1561-8633
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Digitales Dokument |
URL |
Erschienen |
In: Natural Hazards and Earth System Science ; 9, no. 3 ; Nr. 9, no. 3 (2009-06-10), S.831-846 |
Datensatznummer |
250006790
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Publikation (Nr.) |
copernicus.org/nhess-9-831-2009.pdf |
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Zusammenfassung |
Trajectory analysis models are increasingly used for rockfall hazard
mapping. However, classical approaches only partially account for the
variability of the trajectories. In this paper, a general formulation using
a Taylor series expansion is proposed for the quantification of the relative
importance of the different processes that explain the variability of the
reflected velocity vector after bouncing. A stochastic bouncing model is
obtained using a statistical analysis of a large numerical data set.
Estimation is performed using hierarchical Bayesian modeling schemes. The
model introduces information on the coupling of the reflected and incident
velocity vectors, which satisfactorily expresses the mechanisms associated
with boulder bouncing.
The approach proposed is detailed in the case of the impact of a spherical
boulder on a coarse soil, with special focus on the influence of soil
particles' geometrical configuration near the impact point and kinematic
parameters of the rock before bouncing. The results show that a first-order
expansion is sufficient for the case studied and emphasize the predominant
role of the local soil properties on the reflected velocity vector's
variability. The proposed model is compared with classical approaches and
the interest for rockfall hazard assessment of reliable stochastic bouncing
models in trajectory simulations is illustrated with a simple case study. |
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