ISSN 1003-8035 CN 11-2852/P

    基于坡向约束法的 InSAR 三维形变及降雨响应分析以马兰滑坡为例

    Slope-Aspect-constrained InSAR 3D deformation and rainfall response analysis: A case study of the Malan landslide

    • 摘要: 滑坡三维变形监测是判识其活动机制与潜在灾害风险的重要表征。本文以天水市马兰滑坡为例,利用 InSAR 三维形变分解与降雨耦合分析方法,揭示滑坡三维运动特征及其对降雨的响应机制。基于 2022 年 7 月至2025 年 7 月 Sentinel-1A 升、降轨 InSAR 时序影像,采用 SBAS-InSAR 方法获取地表形变序列,并结合坡向约束三维形变分解模型,反演得到滑坡垂直、东西和南北三个方向的三维形变速率与累积位移场。在此基础上,提取典型剖线与特征点,利用位移−时间曲线切线角刻画滑坡演化阶段特征,并结合区域降雨资料开展小波相干分析,定量评估降雨对三维形变的影响。(1)三维形变场表明,马兰滑坡整体呈“垂向沉降为主、叠加东西向水平位移”的非对称复合滑动模式,最大水平与垂直累积位移分别达 52 mm 和 14 mm,形变区域在时空上表现出阶段性增强和明显的空间异质性;(2)特征点三维位移与降雨量的小波相干分析显示,垂直向形变与降雨在 1~4 个月周期尺度上具有较高相干性,相干系数普遍大于 0.8,相位关系表明降雨整体领先形变约 1~2 个月;东西向位移对降雨表现出一定尺度上的耦合响应,南北向相干性相对较弱。结合位移−降雨时间序列和切线角变化可见,2023 年和 2024 年夏季强降雨过程与滑坡多次加速阶段在时间上高度对应。季节性强降雨是影响马兰滑坡垂向沉降和东西向滑移增强的主要外部因素,滑坡在监测期内具有明显的阶段性演化特征。本文方法可为滑坡三维变形精细识别及灾害预警提供技术支撑与方法参考。

       

      Abstract: Three-dimensional (3D) deformation monitoring of landslides is a key indicator for understanding their kinematic mechanisms and potential hazard risk. Taking the Malan landslide in Tianshui, China, as a case study, this paper employs InSAR-based 3D decomposition combined with rainfall−deformation coupling analysis to reveal the 3D deformation characteristics of the slope and its response to rainfall. Time-series Sentinel-1A ascending and descending SAR images acquired from July 2022 to July 2025 were processed using the SBAS-InSAR method to derive surface deformation series. A slope-aspect-constrained 3D decomposition model was then applied to retrieve deformation rates and cumulative displacements in the vertical, east−west and north−south directions. Based on this, typical profiles and representative points were extracted; the evolution stages of the landslide were characterized using the tangent angle of displacement−time curves, and wavelet coherence analysis with regional rainfall records was conducted to quantitatively assess the influence of rainfall on 3D deformation. (1) The 3D deformation field reveals an asymmetric composite sliding mode dominated by vertical subsidence with superimposed east−west horizontal motion. The maximum cumulative horizontal and vertical displacements reach 52 mm and 14 mm, respectively. The deforming area exhibits stage-wise intensification and marked spatial heterogeneity. (2) Wavelet coherence analysis between 3D point-wise displacement and rainfall indicates that vertical deformation exhibits strong coherence with rainfall at periods of 1−4 months , with coherence coefficients generally greater than 0.8. The phase relationship indicates that rainfall leads deformation by approximately 1−2 months. The east−west component shows scale-dependent coupling with rainfall, whereas the north−south component exhibits relatively weak coherence. Combined analysis of displacement−rainfall time series and tangent-angle evolution further demonstrates that intense summer rainfall events in 2023 and 2024 temporally coincide with multiple acceleration phases of the landslide. Seasonal heavy rainfall is the primary external factor influencing the enhancement of vertical subsidence and east−west sliding of the Malan landslide, which displays distinct stage-wise evolution during the monitoring period. The proposed methodology provides technical support and a methodological reference for refined 3D deformation characterization and early warning of rainfall-affected landslides.

       

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