风化层土的粒度分形与固结性关系研究

为预测评价采动影响下风化土层的隔水性与工程地质性质变化,本研究探讨了粒度分维与固结性的关系。通过分形理论计算司家营铁矿震旦系石英砂岩风化残积土的10个样品的粒度分维值,回归分析孔隙比、孔隙度、粒度分维、细粒含量与压缩系数的相关性。计算得到司家营铁矿区石英砂岩风化残积土分维值在2.603 68～2.733 76之间。利用MATLAB中的Curve Fitting Tool得到分维值、细粒含量与压缩系数之间的二元二次回归关系式,粒度分维对土的固结性具有一定的指示意义。

Study on the Relationship between Grain Size Fractal and Consolidation of Weathered Soil

In order to predict and evaluate the water repellency and engineering geological properties of weathered soil under the influence of mining， the relationship between fractal dimension of grain size and consolidation was studied. Based on the fractal theory， the fractal dimension of ten samples from weathered residual soil of Sinian quartz sandstone in Sijiaying Iron Mine was calculated to regressively analyze the correlation among void ratio， porosity， grain size fractal， fine grain content and compression coefficient. By calculation， it was found that the fractal dimension of weathered residual soil of quartz sandstone in Sijiaying Iron Mine ranges from 2.603 68 to 2.733 76. With the use of Curve Fitting Tool in MATLAB， the binary quadratic regression relationship among fractal dimension， fine particle content and compression coefficient was obtained. The fractal dimension of grain size has a certain guiding significance for analyzing soil consolidation.