川中红层泥岩颗粒破碎分形特性

红层泥岩填料中泥岩碎块石的含量直接影响压实后填筑体的流变、渗透、强度以及地基变形特性。通过配置不同含水率、不同粗细比的泥岩试样,开展红层泥岩击实后粒径的分布情况及其破碎率和分形维数的研究,探讨分形理论在该种岩土体中的规律和特性。结果表明,泥岩颗粒破碎后的粒径分布具有典型分形特征,分形维数区间分布在2.418~2.529。随着含水率的增加,红层泥岩的破碎率和分形维数均增加。当P₅初始含量较大时,含水率对分形维数的增长影响较大,但初始粗颗粒的增多减缓了分形维数伴随含水率增加而上升的幅度。破碎率和分形维数均是随着含水率的增加而增大,且与P₅初始含量成反比关系,两者具有一定的相关性,满足高斯公式的正态分布关系。

Fractal Behavior of Crushed Red-bed Mudstonein Central Sichuan

The content of breakstone in red-bed mudstone has a direct influence on the rheological property, permeability, strength and subgrade deformation of the fillings after compaction.To investigate the fractal features of red-bed mudstone, we analyzed the particle size distribution, crushing rate, and fractal dimension of red-bed mudstone specimens of different moisture contents and coarse grain to fine grain ratios after compaction test.Results reveal that the particle size distribution of crushed mudstone is of typical fractal features, with the fractal dimension ranging between 2.418 and 2.529.With the increase of moisture content, the rate of crushing and the fractal dimension both increase correspondingly.When the initial content of P5 is relatively large, moisture content has a big influence on the growth of fractal dimension, but with the increase of initial coarse grain, the growth of fractal dimension slows down.Therefore we conclude that the rate of crushing and the fractal dimension have some correlation following the Gaussian normal distribution.They both increase with the increase of moisture content, and are in negative relationship with the initial content of P5.