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在分析地质灾害规模分布的基础上,基于最大熵原理在理论上推导出崩塌、滑坡和不稳定斜坡灾害长、宽和厚等参数规模频率负指数分布关系,提出了规模参数频率分布简单而有效的计算公式。最后以黄土丘陵区宝塔区为例,对所提出的公式进行验证,结果表明:(1)宝塔区地质灾害以中型滑坡和中型崩塌为主,但大型地质灾害在控制着滑坡崩塌总面积和总体积中起着重要的作用;(2)滑坡、崩塌和不稳定斜坡规模等级指数主要集中于(5.5,6]级、(4,4.5]级和(5,5.5]级;(3)崩塌、滑坡和不稳定斜坡的长、宽和厚规模频率分布符合更简单的指数关系,且用指数关系拟合的规模频率曲线不会产生偏转效应;(4)对面积和体积取算术平方根和立方根后,它们的规模-频率分布也呈现出负指数分布,并且拟合效果良好(决定系数R2>0.9,概率P<0.05)。
Based on the analysis of the distribution of geological disasters, based on the maximum entropy principle, the negative exponential distribution of the scale frequency such as length, width and thickness of collapse, landslide and unstable slope disasters is deduced in theory, and the frequency distribution of scale parameters is simple and effective The formula. Finally, taking the pagoda area in the loess hilly region as an example, the proposed formula is verified. The results show that: (1) The geohazards in pagoda area are dominated by medium-sized landslides and medium-sized landslides; however, the large-scale geological hazards are controlling the total landslide area and the total (2) Landslides, avalanches and unstable slope scale indices mainly focus on (5.5,6], (4,4.5) and (5,5.5) levels; (3) collapse, The long, wide and thick scale frequency distribution of landslide and unstable slope accords with simpler exponential relationship, and the scale frequency curve fitted by exponential relationship will not produce the deflection effect; (4) Calculate square root and cube root of area and volume , Their size - frequency distribution also showed a negative exponential distribution, and good fitting effect (decision coefficient R2> 0.9, probability P <0.05).