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arXiv physics/9705035physics.geo-phcond-mat
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土壤湿度变异的尺度不变性及其对滑坡频率size distribution的影响

Scale-invariance of soil moisture variability and its implications for the frequency-size distribution of landslides

Jon D. Pelletier

摘要:

利用1992年沃希托试验流域的微波遥感资料,对100 m ~ 10 km尺度的土壤水分变化进行了功率谱分析。功率谱S(k)与波数k近似呈幂律关系,指数为-1.8。这种行为是一致的随机微分方程的土壤水分在一个点的行为。这种行为对滑坡的频率-规模分布有重要影响。我们提出了累积频率的大小分布的滑坡在日本和玻利维亚的降水,以及滑坡引发的1994年北岭,加利福尼亚州地震。尽管这些地区的大型滑坡是由不同的机制触发的,但其累积频率-规模分布与面积呈幂律关系,指数范围为-1.5至-2。我们使用土壤水分场与上述统计数据结合边坡稳定性分析来模拟滑坡的频率-大小分布。在我们的模型中,当超过取决于粘聚力、孔隙压力、内摩擦力和坡角的阈值剪应力时,发生滑坡。这意味着阈值依赖于土壤水分和坡度,因为这些因素主要取决于土壤水分。摘要继续在纸上。

英文摘要:

Power spectral analyses of soil moisture variability are carried out from scales of 100 m to 10 km on the microwave remotely-sensed data from the Washita experimental watershed during 1992. The power spectrum S(k) has an approximately power-law dependence on wave number k with exponent -1.8. This behavior is consistent with the behavior of a stochastic differential equation for soil moisture at a point. This behavior has important consequences for the frequency-size distribution of landslides. We present the cumulative frequency-size distributions of landslides induced by precipitation in Japan and Bolivia as well as landslides triggered by the 1994 Northridge, California earthquake. Large landslides in these regions, despite being triggered by different mechanisms, have a cumulative frequency-size distribution with a power-law dependence on area with an exponent ranging from -1.5 to -2. We use a soil moisture field with the above statistics in conjunction with a slope stability analysis to model the frequency-size distribution of landslides. In our model landslides occur when a threshold shear stress dependent on cohesion, pore pressure, internal friction and slope angle is exceeded. This implies a threshold dependence on soil moisture and slope angle since these factors are primarily dependent on soil moisture. Abstract continued in paper.

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