基于分形理论的温州市滑坡分布规律的研究

Research on the distribution law of landslides in Wenzhou City based on the fractal theory

以浙江省温州市几年发生的滑坡数据为样本,运用分形理论的盒维数法计算了温州市滑坡分布的分维值,并分析了其分形特征。研究结果表明:温州市滑坡分布的分维值为1.394 4,相关系数R2=0.999 3,分维相关性较强;在温州市地貌分布的分维值中,高地、丘陵和平原分维值分另为1.365 1、1.456 8和1.517 7。与丘陵和平原相比,高地分维值更接近滑坡分维值,高地分维值是影响滑坡分布的重要因素。在温州市地貌类型中,高地分布是影响滑坡分布的主要因素。

A fractal dimension of landslide distribution and its fractal features are analyzed by using box dimension method of fractal theory, taking landslides occurred in Wenzhou City, Zhejiang Province over the years as a data sample. The results show that the fractal dimension of landslide distribution in Wenzhou is 1.394 4 and the correlation coefficient R2 = 0.999 3, so the fractal dimension correlation is strong. The fractal dimension value of the topographic distribution in Wenzhou is 1.365 1, the fractal dimension of the hills is 1.456 8, and plain fractal value is 1.517 7. Among the fractal dimension of highland, hills and plains, the first one is the closest to the fractal dimension of landslide, which is an important factor affecting the distribution of landslides. As a whole, it reflects that the distribution of highlands is an important factor that affects the distribution of landslides among the topography of Wenzhou.