非饱和土壤导水率分形模型研究  

Determination of Hydraulic Conductivity of Unsaturated Soils Utilizing Fractal Principles

作　　者：张学礼[1] 初士立[1] 

机构地区：[1]中国矿业大学土地复垦与生态重建研究所,北京100083

出　　处：《灌溉排水学报》2004年第1期26-29,共4页Journal of Irrigation and Drainage

基　　金：国家自然科学基金资助项目(40071045)

摘　　要：在已有经典导水率模型的基础上,基于分形理论重新探讨了经典模型。从分形几何角度对Millington-Quirk表达式重新进行了解释,以便可以从孔隙率中推导出分形维数,据此推导出了与经典模型相似且更简单的非饱和土壤导水率的分形表达式。基于Brooks-Corey公式获得了k(θ)的幂函数形式,且推导出的幂指数是合理的。The classical models of the hydraulic conductivity of unsaturated soils are re-examined with fractal theory. Based on this theory, the fundamental equation of Millington and Quirk is reinterpreted so that the fractal dimension can be deduced from the measurement of soil porosity, the fractal model is then obtained accordingly, which is similar to but simpler than the semi-empirical equation The power function of K(θ) is obtained based on the Brooks-Corey equation and reasonable power index is predicted.

关 键 词：非饱扣土壤 导水率 半经验公式 幂指数 分形维数 

分 类 号：S152.7[农业科学—土壤学]