基于分形的土壤水分输运机制与模型研究

Base on Fractal for the Soil Moisture Transportation Mechanism and Model Study

通过对土壤中水分输运的物理机制的分析,利用分数布朗运动(FBM)解释了土壤内水分输运的物理机制,得出土壤内水分输运的定量数理解析模型,模型的解析解是具有分形特征的列维(Lévy)分布。用实例验证了土壤内水分的反常输运特征,揭示了土壤水分运动的内在机制,研究结果具有实际可应用性。

The physical mechanism of soil water transportation is explained using fractional Brownian motion（FBM）. Quantitative mathematical-physical analysis model is proposed. The analytical solution demonstrates fraetal characteristics of Lévy distribution. Practical example is used to verify the abnormal transportation of soil water. The research has shown the intrinsic mechanism of soil water movement and the result is feasible.