Retrieval of the Imaginary Dielectric Constant in Mountain Glaciers Using Airborne Radar and the Dual Rough Interface Numerical Simulation Model
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摘要: 冰川作为全球气候变化的关键指示体和重要的淡水资源,针对其多物理参数的精准获取对全球气候变化研究和生态保护、水资源规划具有重要意义。我国冰川主要为分布于高海拔地区的山岳冰川,受恶劣环境与复杂地形的制约,传统就位探测方法无法实现冰川内部参数的大面积连续监测;星载冰川透视探测又面临分辨率制约和山岳冰川复杂地面杂波的干扰,至今仍无业务化应用。机载雷达有着良好的空间分辨率与灵活的探测方式,已成为冰川监测和研究的重要技术手段。但在机载山岳冰川探测中,依然面临冰表起伏和冰底复杂地形的影响:冰表起伏地形导致的散射杂波会干扰雷达信号解译与关键参数的精确反演;复杂的冰底结构与冰表地形引起的散射损耗与冰内介电损耗相互耦合,导致无法准确反演冰川的介电常数。为此,本研究结合机载超宽带雷达山岳冰川探测数据与伪谱时域(Pseudo-spectral Time Domain, PSTD)数值模拟方法,构建冰表-冰底双界面地形与介电参数的耦合模型,通过二维伪谱时域电磁仿真揭示地形散射-冰介电损耗的互作用机制,提出基于动态范围分析的实测区域冰层介电常数虚部值的反演方法。针对老虎沟12号冰川实测数据,通过迭代优化将虚部估计值收敛至6.0×10⁻⁴,其动态范围与实测均值差异为0.61%,虚部估计值与理论均值的相对误差为21%。仿真结果与理论模型的交叉验证表明,该方法通过解耦地形起伏与介电参数的协同干扰,可有效提升复杂地形区冰川介电参数反演精度,为冰川内部介电特性研究提供解决方案。Abstract: As a key indicator of global climate change and an essential freshwater resource, the accurate acquisition of multiple physical parameters of glaciers holds significant importance for global climate change research, ecological conservation, and water resource planning. In China, glaciers are predominantly mountain glaciers distributed in high-altitude regions. Constrained by harsh environments and complex terrain, traditional in-situ detection methods fail to achieve large-scale continuous monitoring of internal glacier parameters. Satellite-borne glacier remote sensing, meanwhile, faces limitations in resolution and interference from complex ground clutter in mountainous glacier regions, and thus has yet to be operationalized. Airborne radar, with its superior spatial resolution and flexible detection capabilities, has become a critical technical tool for glacier monitoring and research. However, airborne detection of mountain glaciers still confronts challenges posed by undulating ice surfaces and complex subglacial topography: scattering clutter from the uneven ice surface interferes with radar signal interpretation and precise inversion of key parameters, while the intricate subglacial structure and scattering losses caused by ice surface topography interact with dielectric losses within the ice, impeding accurate inversion of glacier dielectric constants. To address these challenges, this study integrates airborne ultra-wideband radar detection data from mountain glaciers with the Pseudo-spectral Time Domain (PSTD) numerical simulation method. A coupled model of ice surface-subglacial dual interface topography and dielectric parameters is established. Through two-dimensional PSTD electromagnetic simulations, the interaction mechanism between topographic scattering and ice dielectric loss is elucidated. Furthermore, an inversion method for the imaginary part of the ice layer dielectric constant in measured regions is proposed based on dynamic range analysis. For the measured data from Laohugou Glacier No. 12, iterative optimization converges the estimated imaginary part value to 6.0×10⁻⁴, with a dynamic range difference of 0.61% from the measured mean value. The relative error between the estimated imaginary part and the theoretical mean is 21%. Cross-validation between simulation results and theoretical models demonstrates that this method effectively improves the inversion accuracy of glacier dielectric parameters in complex terrain by decoupling the synergistic interference between topographic relief and dielectric parameters, thereby offering a viable solution for studying internal dielectric properties of glaciers.
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