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中文摘要：
通过对包气带深层黄土土壤样品颗粒组成的分析，研究了土壤颗粒体积分形维数与土壤各粒级含量的关系。同时利用实测的土壤水分特征曲线，拟合得到其分形模型中的孔隙大小分形维数，最后对颗粒体积分形维数与拟合的孔隙大小分形维数的关系进行了对比研究。结果表明：体积分形维数介于2．577-2．748之间，且随包气带层深度的增加分形维数呈减小趋势；体积分形维数与0．5～0．25mm、0．02～0．002mm颗粒含量呈显著负相关，与0．25～O．05mm、〈0．002mm颗粒含量呈显著正相关，所建立的多元回归方程拟合的体积分形维数相对误差限为0～0．42％，具有较高的精度；同一质地的颗粒体积分形维数与土壤水分特征曲线分形模型中的孔隙大小分形维数呈良好的线性关系。
英文摘要：
The soil granule volume fractal dimension and its relationship with contents of different particle-size are studied through the analysis of granule composition of 30 soil samples in deep loessal soil of aeration zone. At the same time, the fitted spacing fractal di- mension of soil water retention curve is calculated by using its fractal model, the relationship between spacing fractal dimension of soil wa- ter retention curve and volume fractal dimension of soil particle-size is analyzed. The results show that the soil particle volume fractal dimen- sion is between 2. 577 and 2. 748 and its tendency is decreasing with the soil depth of aerated zone; the volume fractal dimensions are significantly negative correlation with the content of 0. 5-0. 25 mm and 0. 02-0. 002 mrn particles, while significant correlation with the content of 0. 25-0. 05 mm particles and particles less than 0. 002 mm. In addition, the relative error limitation of simulation value by using multiple regression equation is from 0 to 0. 42%, which has high accuracy; the relationship between spacing fractal dimension of soil water retention curve model and volume fractal dimension of soil particle-size is linear for the same texture soil.
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