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Probability distributions of landslide volumes

机译:滑坡体的概率分布

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We examine 19 datasets with measurements of landslide volume, VL, for sub-aerial, submarine, and extraterrestrial mass movements. Individual datasets include from 17 to 1019 landslides of different types, including rock fall, rock slide, rock avalanche, soil slide, slide, and debris flow, with individual landslide volumes ranging over 10-4 m3≥10~(13) m~3. We determine the probability density of landslide volumes, p(VL), using kernel density estimation. Each landslide dataset exhibits heavy tailed (self-similar) behaviour for their frequency-size distributions, p(VL) as a function of VL, for failures exceeding different threshold volumes, VL*, for each dataset. These non-cumulative heavy-tailed distributions for each dataset are negative power-laws, with exponents 1.0≤β≤1.9, and averaging Β~1.3. The scaling behaviour of VL for the ensemble of the 19 datasets is over 17 orders of magnitude, and is independent of lithological characteristics, morphological settings, triggering mechanisms, length of period and extent of the area covered by the datasets, presence or lack of water in the failed materials, and magnitude of gravitational fields. We argue that the statistics of landslide volume is conditioned primarily on the geometrical properties of the slope or rock mass where failures occur. Differences in the values of the scaling exponents reflect the primary landslide types, with rock falls exhibiting a smaller scaling exponent (1.1≤β≤1.4) than slides and soil slides (1.5≤β≤1.9). We argue that the difference is a consequence of the disparity in the mechanics of rock falls and slides.
机译:我们检查了19个数据集,这些数据具有滑坡体量VL的测量值,用于航空,海底和地外物质运动。单个数据集包括从17到1019个不同类型的滑坡,包括岩崩,岩石滑坡,岩石雪崩,土壤滑坡,滑坡和泥石流,单个滑坡的体积范围为10-4m3≥10〜(13)m〜3 。我们使用核密度估计来确定滑坡体的概率密度p(VL)。对于每个滑坡超过不同阈值体积VL *的破坏,每个滑坡数据集的频率大小分布p(VL)都表现出重尾(自相似)行为。每个数据集的这些非累积重尾分布是负幂律,指数为1.0≤β≤1.9,平均Β〜1.3。 VL在19个数据集中的缩放比例行为超过17个数量级,并且与岩性特征,形态设置,触发机制,时间长度和数据集所覆盖区域的范围,是否存在水无关在失效的材料中,以及引力场的大小。我们认为,滑坡体的统计主要取决于发生破坏的边坡或岩体的几何特性。标度指数值的差异反映了主要的滑坡类型,岩崩的标度指数(1.1≤β≤1.4)小于滑坡和土壤滑坡(1.5≤β≤1.9)。我们认为,差异是岩石跌落和滑坡力学差异的结果。

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