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天然沉积砂卵石粒度分布的分形结构研究
田堪良1, 张慧莉1, 张伯平1
西北农林科技大学 水利与建筑工程学院
摘要:
根据分形几何学理论,研究了我国黄河及陕西省的黑河,石头河,冯家山古河道河床天然沉积砂卵石的粒度成分特征,发现在双对数坐标下粒度含量与粒径之间呈直线关系,表明粒度分布具有分形结构。根据直线的斜度,可求得相应的分维(D=2.55~2.87),并讨论了分维与粗粒土级配的关系,提出可以以分维代替不系数和曲率系数作为表征粗粒土级配的指标。
关键词:  砂卵石  分形结构  分维  粗粒土级配
DOI:
分类号:
基金项目:
Fractional structure of granularity distribution of natural sedimentary sandy gravel
Abstract:
The granularity characteristics of natural sadimentary sandy gravel cobble under Yellow river,Heihe River,Stone River and Fengjiashan Ancient River in Shaanxi Province are studied according to the fractional geometry.It is found that there is a linear relationship between the accumulative granularity content and the grain size in log-log plot,and its lope can be used to calculate the relative fractional dimension D.Results show that the D of natural sedimentary sandy gravel under river changes from 2.55 to 2.87.Correlations between fractional dimension and gradation of coarse grained soil are discussed.It is conclued that the fractional dimension can be used as one index instead of both uniformity coefficient (Cu) and coefficient of currature (Cc) to describe the gradation of coarse grained soil.
Key words:  sandy gravel  fractional structure  dimension  gradation of coarse grained soil