地学前缘 ›› 2025, Vol. 32 ›› Issue (5): 534-545.DOI: 10.13745/j.esf.sf.2025.3.75

• 人地耦合调控 • 上一篇    下一篇

基于DEM的洞庭湖水系分形维数值与地质灾害关联性研究

胡梓悦(), 张润鑫, 马悦, 彭年*()   

  1. 首都师范大学 资源环境与旅游学院, 北京 100048
  • 收稿日期:2025-03-21 修回日期:2025-03-30 出版日期:2025-09-25 发布日期:2025-10-14
  • 通信作者: 彭年
  • 作者简介:胡梓悦(2002—),女,硕士研究生,主要从事自然地理学和地质系统复杂性研究。E-mail: beardmoon@163.com
  • 基金资助:
    中国铜业重点科技项目“青海省格尔木牛苦头及外围铅锌成矿规律研究与潜力评价(QHHX-KZ-JF2020-001)”

Fractal dimension of the Dongting Lake drainage network based on DEM and its relationship with geological hazards

HU Ziyue(), ZHANG Runxin, MA Yue, PENG Nian*()   

  1. College of Resources, Environment and Tourism, Capital Normal University, Beijing 100048, China
  • Received:2025-03-21 Revised:2025-03-30 Online:2025-09-25 Published:2025-10-14
  • Contact: PENG Nian

摘要:

洞庭湖流域作为长江中游的生态屏障,其水系结构形态与滑坡、泥石流等地质灾害的耦合机制,日益成为亟须深入研究的区域生态保护与可持续治理的科学命题。本文利用数字高程模型(digital elevation model, DEM)数据,对洞庭湖水系流域分形维数值(D值)进行研究,并结合该地区泥石流滑坡地质灾害分布密度进行关联性分析,研究结果显示,洞庭湖总体水系的分形维数值为1.65,该流域地貌处于侵蚀发育阶段的壮年期,流域水系分形维数值呈递增同心圆结构分布。其中,湘江和沅江流域的分形维数值大于1.70,河网结构复杂,支流多且流量大;资水流域和澧水流域及洞庭湖环湖区的分形维数值为1.62~1.65,河网结构简单,支流较少且流量小,反映出两者在地形地貌、岩性组成和水文特征方面的显著差异。通过灾害关联性研究表明,分形维数值越高,流域水系越复杂,河流对地表的切割和岩层的侵蚀作用越显著,从而更易诱发地质灾害。

关键词: 洞庭湖水系, 分形维数值, 地质灾害, 侵蚀作用, 滑坡泥石流

Abstract:

As a critical ecological barrier in the middle reaches of the Yangtze River, the Dongting Lake Basin represents a key area for studying the coupling mechanisms between fluvial morphology and geological hazards, such as landslides and debris flows. These interactions constitute an urgent scientific issue in the context of regional ecological conservation and sustainable environmental governance. In this study, we employed a Digital Elevation Model (DEM) to quantify the fractal dimension (D-value) of the river network within the Dongting Lake Basin. A correlation analysis was subsequently conducted between the fractal dimensions and the spatial density of landslide and debris flow events. The results indicate an overall river network fractal dimension of 1.65 across the basin, suggesting a geomorphic system in the mature stage of erosional development. Spatially, the fractal dimensions exhibit a concentric pattern of increasing values. Specifically, the Xiangjiang and Yuanjiang River basins have D-values exceeding 1.70, reflecting complex river network structures with abundant tributaries and high discharge. In contrast, the Zishui and Lishui River basins, along with the areas adjacent to the lake, display D-values between 1.62 and 1.65, indicative of simpler river networks with fewer tributaries and lower discharge. These disparities highlight significant variations in underlying topography, lithology, and hydrological conditions among the sub-basins. Importantly, correlation analysis reveals that higher fractal dimensions are associated with greater river network complexity, which enhances fluvial incision and erosion, thereby increasing susceptibility to geological hazards such as landslides and debris flows.

Key words: Dongting Lake watershed, fractal dimension coefficient, geological hazards, erosion, landslides and debris flows

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