杭州西湖区域断裂分形研究及其对岩溶塌陷分布的影响  

Fractal Analysis of Spatial Distribution of Faults around West Lake and its Influence on the Distribution of Karst Collapse

作　　者：沈超[1,2] 潘懋[1,2] 赵增玉[1,2] 梁河 

机构地区：[1]北京大学造山带与地壳演化教育部重点实验室,北京100871 [2]北京大学地球与空间科学学院,北京100871 [3]浙江省地质调查院,杭州311203

出　　处：《高校地质学报》2011年第4期552-561,共10页Geological Journal of China Universities

基　　金：中国地质调查局与杭州市政府合作杭州城市地质调查项目(200413000021)资助

摘　　要：以分形理论为基础,采用网格覆盖法,研究了杭州市西湖区的断裂分形特征,并对该区的岩溶塌陷易发程度进行了分析。首先,简要介绍了研究区地质背景及断裂分数维的计算和分析方法,并计算出西湖周边区域断裂分布的总体分数维及北东向、北西向的分数维,表明本区断裂分数维能很好的反映断裂分布的空间特征;其次,结合研究区的岩溶塌陷分布,讨论了断裂分数维和岩溶塌陷之间的关系,表明北东向和北西向断裂分布在空间上互补;且岩溶塌陷分布情况和断裂分数维呈正相关关系;最后,以定量的形式分析了该区断裂对岩溶塌陷分布的控制,对当地工程建设有一定的指导意义。In this paper,we studied fractal characteristics of the spatial distribution of faults around West Lake with the gridcoverage method based on Fractal theory,and then we analyzed the karst collapse susceptibility in this area. First,we outlined briefly the geological background,the analytical methods,and calculated the fractal dimensions of both the NE-trending faults and NW-trending faults. The results show that the fractal dimension can reflect the spatial characteristics of the fault distribution;Second,by the study of the karst collapse of the zone,we discussed the relationship between the fractal dimensions and the distribution of karst collapse. The results show that the NE-trending faults and NW-trending faults complement each other in spatial distribution,and the distribution of karst collapse positively correlated with the fractal dimensions. In addition,we quantitatively analyzed how faults control the distribution of karst collapse,which is vital for local engineering construction.

关 键 词：分数维 西湖 网格覆盖法 岩溶塌陷 

分 类 号：TU352.1[建筑科学—结构工程]