水力传导度空间变异性的分形模拟研究进展  

Review on modeling of hydraulic conductivity with fractal theory

作　　者：黄冠华[1] ZHAN Hong-bin 叶自桐[3] 

机构地区：[1]中国农业大学水利与土木工程学院,北京100083 [2]Dept.of Geology&Geophysics,Texas A&M University [3]武汉大学水利水电工程学院,湖北武汉430072

出　　处：《水科学进展》2003年第2期236-241,共6页Advances in Water Science

基　　金：国家自然科学基金资助项目(59879028);霍英东青年教师基金资助项目(71027)~~

摘　　要：水力传导度是描述孔隙介质物理特性的重要参数,水力传导度的空间变异性直接影响到水分与溶质在介质中的运移状况。由于基于随机理论的方法难于描述具有多重变异尺度的水力传导度的空间变异性,使得基于分形理论的方法得到了较快发展和应用。详细介绍并评述了分形理论和方法的基本特征及研究进展,水力传导度的空间变异分形与弥散尺度效应的关系及其对溶质运移的影响。The hydraulic conductivity is one of the most important parameters for describing the physical characteristics of porous media.The spatial variability of hydraulic conductivity has an important effect on water movement and solute transport in porous media.The methods based on spatial random fields fail to describe the spatial variation of hydraulic conductivity with multiscales.Therefore a new method is developed in recent years on the basis of fractal theory, with which fractional Brown motion (fBm) and fractal Levy motion (fLm) are applied to study the variability of hydraulic conductivity without permanent integral scale.The main objective of this paper is to review the methods based on the fractal theory, and to analyze the relationship between the spatial variability of hydraulic conductivity and scaleeffect of solute dispersivity and its application to describe water movement and solute transport.

关 键 词：水力传导度 空间变异 分形 

分 类 号：P641.2[天文地球—地质矿产勘探] G353.11[天文地球—地质学]