Mathematics – Logic
Scientific paper
Dec 2010
adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=2010agufmep21a0730l&link_type=abstract
American Geophysical Union, Fall Meeting 2010, abstract #EP21A-0730
Mathematics
Logic
[1810] Hydrology / Debris Flow And Landslides, [5415] Planetary Sciences: Solid Surface Planets / Erosion And Weathering, [5464] Planetary Sciences: Solid Surface Planets / Remote Sensing, [6225] Planetary Sciences: Solar System Objects / Mars
Scientific paper
Prediction of landslides dynamics remains difficult in spite of a considerable body of work. A number of previous studies have been based on runout analysis in relation to mean dissipation calibration via the friction coefficient. However, the shape of the initial scar is generally unknown in real cases, which weakens landslide material spreading predictions and has alters calibration parameters of numerical models. We study numerically the effects of scar geometry on flow and distribution of the deposits and show that the initial shape of the scar, independent of the friction coefficient, does not affect the runout distance. In contrast, 3D tests show that the shape of the final deposits is a function of the scar geometry, and hence information on initial scar geometry and initial volume involved in the mass spreading may be retrieved from analysis of final deposit morphology. From an analytical solution we show here why the classical mobility (defined as the ratio between total height and runout distance) decreases when the volume increases, as is generally observed in geological data. We thus introduce analytically a new mobility variable obtained from geomorphic measurements reflecting the intrinsic dissipation independent of the aspect ratio, of the volume of the granular mass involved, of the underlying topography, and of the initial scar geometry. Comparison between experimental results, terrestrial, Lunar and Martian cases highlights a larger new mobility measure of natural granular flows compared to dry mass spreading simulated in the laboratory. In addition, landslides in a similar geological context give a single value showing the robustness of this new parameter. Finally, the new mobility provides a first order estimate of the effective friction required in models to reproduce the extent of the deposits in a given geological context. This enables a feedback analysis method for retrieving the volume and shape of the initial landslide material and then allows better exploration of the initial landsliding conditions.
Lucas Amand A.
Mangeney Andre
Mhge D.
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