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J4 ›› 2011, Vol. 17 ›› Issue (4): 552-561.

• 地球物理与工程地质学 • 上一篇    下一篇

杭州西湖区域断裂分形研究及其对岩溶塌陷分布的影响

沈 超, 潘 懋, 赵增玉, 梁 河   

  1. 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
  • 收稿日期:2011-09-14 修回日期:2011-11-22 出版日期:2011-12-20 发布日期:2011-12-20
  • 作者简介:沈超,男,硕士研究生,信息地质与应用地质研究方向;E-mail:just_sc@163.com
  • 基金资助:

    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

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

SHEN Chao, PAN Mao, ZHAO Zeng-yu, LIANG He   

  1. 1. Key Laboratory of Orogenic Belt and Crustal Evolution, Education Ministry, Peking University, Beijing 100871, China;
    2. School of Earth and Space Sciences, Peking University, Beijing 100871, China;
    3. Zhejiang Institute of Geological Survey, Hangzhou 311203, China
  • Received:2011-09-14 Revised:2011-11-22 Online:2011-12-20 Published:2011-12-20

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。

关键词: 分数维;西湖;网格覆盖法;岩溶塌陷

Abstract:

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.

Key words: fractal dimension;West Lake;grid-coverage method;karst collapse

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