基于应用微分几何进行环境数据分析及建模的基本概念，提出了典型陆地环境污染物浓度区域化变量的微分几何表达与分析方法.基于陆地环境污染物浓度区域化变量的数据结构，将污染物浓度空间分布转换为三维形式，并采用二次曲面进行拟合，建立了区域化变量数据与其空间属性间的数学定量关系.通过对几种典型空间结构如凸状、凹状、脊状、鞍状及单坡等典型浓度曲面的分析与刻画，对该方法进行了举例说明.此方法适用于陆地环境污染物浓度区域化变量分析.
Based on the basic concepts of differential geometry in analyzing environmental data and establishing related models, the methodology for differential
geometry expression and analysis of pollutants concentration in terrestrial environment was presented. As a kind of regionalized variables, the spatial distribution pattern of the pollutants concentration was transformed into 3-dimension form, and fitted with conicoid. This approach made it possible to analyze the quantitative relationships between the regionalized variables and their spatial structural attributes. For illustration purpose, several sorts of typical space fabrics, such as convexity, concavity, ridge, ravine, saddle, and slope, were calculated and characterized. It was suggested that this approach was feasible for analyzing the regionalized variables of pollutants concentration in terrestrial environment.