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压实对土体空间结构影响的分形描述
Fractal description of compaction influence on soil spatial structure
【摘要】 为了准确地模拟土体颗粒在压实过程中空间结构的变化,计算土体压实所能达到的最终状密实态,文章采用分形几何原理,建立了土粒径分布、颗粒空间结构与土体变形参数之间的函数关系,提出了土体空间结构分形维数计算公式,计算分析了土体孔隙通道分形维数值;分析表明,随着压实进行孔隙通道的曲折程度增大,孔隙通道的长度变短,土体密实增加;通过Gaudin-Schuhmann粒度分布方程可以定量地由粒径的分布来判断压实所能达到的终极状态,从而更清晰地分析土体微观结构与压实性能之间关系。
【Abstract】 In order to simulate soil spatial structure change and to exactly calculate soil final compaction state when soil grains are compacted,fractal theory is adopted to establish a functional relationship between the particle size distribution,the soil spatial microstructure and the soil compacted deformation parameters,and a soil structure fractal dimension calculation formula is given.With the help of the soil particle size distribution fractal dimension formula,the soil pore channel fractal number is calculated.The results show that the soil density and soil pore channel tortuous extent increases while the length of the soil pore channel becomes shorter.A quantitative estimation method of the soil final compaction state as it can reach is also proposed based on the Gaudin-Schuhmann particle size distribution equation.The relationship between soil microstructure and compaction performance can be analyzed more precisely by this method.
【Key words】 highway engineering; soil compaction; particle size distribution; soil pore channel; structure fractal dimension;
- 【文献出处】 合肥工业大学学报(自然科学版) ,Journal of Hefei University of Technology(Natural Science) , 编辑部邮箱 ,2009年08期
- 【分类号】U412.22
- 【被引频次】4
- 【下载频次】141