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本文从两种土壤粒径分布分形模型的推导入手,分析得出的土颗粒质量-粒径分布分形模型(模型二)仅是在土颗粒密度相同的假定条件下对土颗粒数量-粒径分布分形模型(模型一)的近似替代,并以某滑坡滑带土为例,分别运用这两种模型对该滑带土样进行粒度分形特征的试验研究,结果表明:由模型二计算的粒径分布分维数和相关系数均比模型一的小,其误差产生的原因是土颗粒密度由于矿物成分的不同而存在差异;但是模型二的计算结果可以较好地反映试样的分形特征,其原因是各粒组的各种矿物的相对含量相差不大,土颗粒的平均密度近似相等,假定条件适应性较好。
Starting from the derivation of two fractal models of soil particle size distribution, the paper analyzes the mass-particle size distribution fractal model (Model II), which is only based on the assumption that the soil particle density is the same Fractal model (model one). Taking a landslide slippery zone as an example, the two models are respectively used to test the particle size fractal characteristics of the slippery zone soil samples. The results show that the particle size The distribution fractal dimension and the correlation coefficient are smaller than that of the model one. The reason for the error is that the density of soil particles is different due to the difference of mineral composition. However, the calculation results of model two can better reflect the fractal characteristics of the sample. The reason is that the relative content of various minerals in each grain group is not much difference, the average density of soil particles is approximately equal, assuming good adaptability to conditions.