巨型白云岩洞系发育的流域水系分维估算方法适应性研究
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国家自然科学基金地方科学基金项目(No.42161001);贵州科学院2021年度学术新苗培养及自由探索创新专项项目;贵州省科技计划一般项目(黔科合支撑[2023]一般200);贵州省山地资源研究所创新能力建设项目(黔科山平台[2025]01号)


Adaptability of Fractal Dimension Estimation Methods for Watershed Systems in Basins with Giant Dolomite Cave Systems
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    摘要:

    为考察巨型白云岩洞穴系统的成因与发育演化规律,以贵州绥阳池武溪流域这一典型喀斯特洞系发育区作为研究区,基于1∶50 000 地形图和12.5 m分辨率ALOS DEM数据提取流域水系,采用Horton定律法、盒维数法和栅格水系法估算研究区水系分维,比较3种方法在研究区的适应性,并分析研究区地貌发育演化趋势。结果表明:1) 受喀斯特复杂的地表-地下“二元三维”水文地质结构控制,Horton定律法的适应性较差,研究区高级别河流的分支比和河长比出现明显偏离,不符合Horton定律。2) 相近尺度下,不同数据源和方法估算出的水系分维值差异较大,其中通过Horton定律法估算的地形图水系、ALOS水系分维值差异最为明显,分别为2.77、2.55,均超出理论阈值;通过盒维数法和栅格水系法计算得到的不同数据源水系分维值比较接近,在1.41~1.42之间。3) 按适应性由好到差对水系分维值估算方法进行排序,依次为:盒维数法、栅格水系法、Horton定律法;盒维数法更适用于喀斯特地区水系分维值的估算,结合盒维数法估算的水系分维值与子流域高程起伏比的分布情况,综合判断研究区地貌发育处于幼年期向壮年期过渡阶段。研究结果可为喀斯特流域地貌演化定量研究方法的优选提供依据。

    Abstract:

    In order to investigate the genesis and developmental evolution patterns of giant dolomite cave systems, focus on the Chiwuxi Basin in Suiyang, Guizhou, a typical karst cave system development area. Based on 1∶50 000 topographic maps and 12.5 m resolution ALOS DEM data, extracted watershed water system. The Horton’s law, box-counting method, and grid water system method were employed to estimate the fractal dimension of the water system in the study area. Comparing the applicability of three methods in the study area and analyzing the developmental trends of its landforms. The results indicate: 1) Controlled by the complex surface-underground “binary and three-dimensional” hydrogeological structure of karst, Horton’s law exhibits poor adaptability. The branch ratio and river length ratio of higher-order rivers in the study area show significant deviations, failing to comply with the Horton’s law. 2) At similar scales, significant discrepancies exist between water system fractal dimension values estimated from different data sources and methods. The most pronounced difference was observed between topographic map water systems and ALOS water systems values using the Horton’s law method, yielding 2.77 and 2.55 respectively, both exceeding theoretical thresholds. The fractal dimension values obtained from different data sources using the box-counting method and grid water system method were relatively close, ranging between 1.41 and 1.42. 3) Ranking the methods for estimating water system fractal dimension from best to worst adaptability yields the following order: box-counting method, grid water system method, Horton’s law method. The box-counting method is more suitable for estimating water system fractal dimensions in karst regions. Integrating the distribution of water system fractal dimensions estimated by this method with the elevation variation ratio of sub-basins, it is comprehensively determined that the study area’s landform development is transitioning from an early to a mature stage. These findings provide a basis for selecting optimal quantitative research methods for studying landform evolution in karst basins.

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莫贵芬,周文龙,赵世启,罗书文,苏维词,况光显.巨型白云岩洞系发育的流域水系分维估算方法适应性研究[J].重庆师范大学学报自然科学版,2025,42(6):83-93

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  • 在线发布日期: 2026-02-11