ISSN 1000-3665 CN 11-2202/P

    云南某磷石膏矿尾矿库坝体二维形变监测与分析

    Two-dimensional deformation monitoring and analysis of dam body in a phosphogypsum tailings pond, Yunnan Province

    • 摘要: 针对单一轨道合成孔径雷达干涉(interferometric synthetic aperture radar,InSAR)测量监测仅能获取视线向(line of sight, LOS)形变,难以准确获取坝体形变区域、特征及多维时序演化规律的局限,提出一种联合升降轨短基线集(small baseline subset,SBAS)-InSAR与变分模态分解(variational mode decomposition,VMD)的方法,实现坝体二维形变场重构与高精度时序形变特征分解。以云南某磷石膏尾矿库为例,基于SBAS-InSAR技术联合处理2022—2024年Sentinel-1升降轨合成孔径雷达(synthetic aperture radar, SAR)数据,解算垂直—东西向二维形变场,然后再采用VMD分解垂直向时序形变信号,提取趋势项、周期项和随机项,并与传统分解模型进行对比验证。结果表明:(1)升降轨识别出尾矿库3处形变区,沉降区与坝坡边界空间位置高度吻合,主要分布在坝体边坡和干滩区域,最大累计沉降量超426 mm;(2)尾矿库整体形变以垂直沉降为主,呈先加剧后减缓的趋势,周期性波动特征明显,东西向形变表现为坝体西移、分隔子坝东移及干滩双向位移的协同模式;(3)基于VMD算法提取的坝体垂直向长期沉降趋势呈先加速后减缓特征,且减缓程度空间分异明显,坝体中部减缓幅度最小,周期项形变季节性特征明显,较降雨事件具有明显的滞后性。VMD算法有效解决了传统模型中年周期约束导致的振幅低估与线性趋势过拟合问题,其重构形变信号的决定系数(R2)均高于0.99,显著提升了时序形变特征分析的精度与可靠性。该方法在尾矿库形变监测及时序演化特征分析中具有较好的推广价值。

       

      Abstract: The inherent limitation of single-orbit Interferometric Synthetic Aperture Radar (InSAR) to measure deformation solely along the line-of-sight (LOS) direction poses challenges for accurately delineating deformation zones and characterizing their spatiotemporal evolution in tailings dams. This study proposed an integrated method combining ascending and descending Small Baseline Subset (SBAS) InSAR and Variational Mode Decomposition (VMD) to reconstruct the two-dimensional (2D) deformation field and achieve high-precision decomposition of time-series deformation characteristics of the dam. A phosphogypsum tailings reservoir in Yunnan was selected as a case study. Sentinel-1 ascending and descending SAR data from 2022 to 2024 were processed jointly using SBAS-InSAR to derive vertical and east-west 2D deformation fields. VMD was used to decompose the vertical time-series deformation signals into trend, periodic, and residual components, and the results were compared and validated against traditional decomposition models. The results show that ascending and descending deformation analysis identify three deformation zones in the tailings dam, with subsidence spatially correlated to the dam boundaries. These zones primarily occur along embankment slopes and dried beach areas, with maximum cumulative settlement exceeding 426 mm. The overall deformation of the tailings dam is dominated by vertical settlement, showing an initial acceleration followed by a deceleration trend, with periodic fluctuations. The east-west deformation presented a synergistic pattern, westward displacement of the main dam body, eastward movement of the partition sub-dams, and bidirectional displacement in the dried beach area. The long-term settlement exhibited an accelerated-then-decelerated evolution pattern with significant spatial heterogeneity, characterized by minimal deceleration in the central region. The periodic component showed distinct seasonality with a marked hysteresis relative to rainfall events. VMD resolved issues of amplitude underestimation (associated with forced annual periods) and linear overfitting observed in conventional models. The high reconstruction accuracy (R2>0.99) validates its reliability for deformation signal decomposition and temporal characteristic analysis, significantly improving the accuracy and reliability of time-series deformation characteristic analysis. The proposed method demonstrates strong generalizability for deformation monitoring and temporal evolution analysis of tailings reservoirs.

       

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